Otmar Scherzer

@article{AspSch25, author = {Aspri, A. and Scherzer, O.}, title = {Analysis of generalized iteratively regularized Landweber iterations driven by data}, address = {Berlin, Boston}, booktitle = {Data-driven Models in Inverse Problems}, doi = {10.1515/9783111251233-008}, editor = {Bubba, T.~A.}, pages = {273--302}, publisher = {De Gruyter}, year = {2025}, }

@article{FriSchShi25, author = {Frischauf, L. and Scherzer, O. and Shi, C.}, title = {Classification with neural networks with quadratic decision functions}, address = {Berlin, Boston}, booktitle = {Data-driven Models in Inverse Problems}, doi = {10.1515/9783111251233-014}, editor = {Bubba, T.~A. }, pages = {471--494}, publisher = {De Gruyter}, year = {2025}, }

@inproceedings{BibKirWalBucSch24, author = {Biberger, S. and Kirisits, C. and Wallinger, Ch. and Buckton, D.~J. and Scherzer, O.}, title = {Motion-based temporal interpolations of power Doppler ultrasound}, booktitle = {Medical Imaging 2024: Ultrasonic Imaging and Tomography}, doi = {10.1117/12.3006736}, editor = {Bottenus, N. and Boehm, Ch.}, pages = {129321C}, volume = {12932}, year = {2024}, }

@article{FriSchShi24, author = {Frischauf, L. and Scherzer, O. and Shi, C.}, title = {Quadratic Neural Networks for Solving Inverse Problems}, doi = {10.1080/01630563.2024.2316580}, issue = {2}, journal = {Numer. Funct. Anal. Optim.}, fjournal = {Numerical Functional Analysis and Optimization}, pages = {112--135}, pdf = {https://www.tandfonline.com/doi/epdf/10.1080/01630563.2024.2316580}, year = {2024}, }

@article{KirNauSchYan24, author = {Kirisits, C. and Naujoks, N. and Scherzer, O. and Yang, H.}, title = {Diffraction tomography for incident Herglotz waves}, doi = {10.1088/1361-6420/ad7d2d}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {11}, pages = {115007}, pdf = {https://iopscience.iop.org/article/10.1088/1361-6420/ad7d2d/pdf}, volume = {40}, year = {2024}, }

@article{MejSch24, author = {Mejri, B. and Scherzer, O.}, title = {An Inversion Scheme for Elastic Diffraction Tomography Based on Mode Separation}, doi = {10.1137/22M1538909}, journal = {{SIAM} J. Appl. Math.}, fjournal = {{SIAM} Journal on Applied Mathematics}, month = feb, number = {1}, pages = {165--188}, volume = {84}, year = {2024}, }

@article{ParKirSch24, author = {Parzer, F. and Kirisits, C. and Scherzer, O.}, title = {Uncertainty Quantification for Scale-Space Blob Detection}, doi = {10.1007/s10851-024-01194-x}, journal = {J. Math. Imaging Vision}, fjournal = {Journal of Mathematical Imaging and Vision}, pages = {697--717}, pdf = {https://link.springer.com/content/pdf/10.1007/s10851-024-01194-x.pdf}, volume = {66}, year = {2024}, }

@article{BibMerWalBucSch23, author = {Biberger, S. and Mercier, G. and Wallinger, Ch. and Buckton, D. and Scherzer, O.}, title = {Artefact Indicator for Flow-based Temporal Interpolation of Power Doppler Ultrasound}, doi = {10.1002/pamm.202200090}, journal = {Proc. Appl. Math. Mech.}, fjournal = {Proceedings in Applied Mathematics and Mechanics}, number = {1}, pages = {e202200090}, pdf = {https://onlinelibrary.wiley.com/doi/epdf/10.1002/pamm.202200090}, volume = {22}, year = {2023}, }

@article{FauSch23, author = {Faucher, F. and Scherzer, O.}, title = {Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty}, doi = {10.1016/j.jcp.2022.111685}, journal = {J. Comput. Phys.}, fjournal = {Journal of Computational Physics}, month = jan, pages = {111685}, pdf = {https://www.sciencedirect.com/science/article/pii/S0021999122007483/pdfft?md5=89a23717cccf53e69bee4beb80934dfe&pid=1-s2.0-S0021999122007483-main.pdf}, volume = {472}, year = {2023}, }

@article{FauSch23b, author = {Faucher, F. and Scherzer, O.}, title = {Synthetic dataset for visco-acoustic imaging}, doi = {10.1016/j.dib.2023.109199}, journal = {Data Br.}, fjournal = {Data in Brief}, pages = {109199}, pdf = {https://www.sciencedirect.com/science/article/pii/S2352340923003189/pdfft?md5=671cb00da25697e4b248a24b6fbef5e0&pid=1-s2.0-S2352340923003189-main.pdf}, volume = {48}, year = {2023}, }

@article{ParJetBoeAlfSch23, author = {Parzer, F. and Jethwa, P. and Boecker, A. and Alfaro-Cuello, M. and Scherzer, O. and van de Ven, G.}, title = {Uncertainty-aware blob detection with an application to integrated-light stellar population recoveries}, doi = {10.1051/0004-6361/202244739}, journal = {Astronom. and Astrophys.}, fjournal = {Astronomy {\&} Astrophysics}, pdf = {https://www.aanda.org/articles/aa/pdf/forth/aa44739-22.pdf}, year = {2023}, }

@article{QueElbSchSte23, author = {Quellmalz, M. and Elbau, P. and Scherzer, O. and Steidl, G.}, title = {Motion Detection in Diffraction Tomography by Common Circle Methods}, doi = {10.1090/mcom/3869}, journal = {Math. Comp.}, fjournal = {Mathematics of Computation}, year = {2023}, }

@article{SchHofNas23, author = {Scherzer, O. and Hofmann, B. and Nashed, Z.}, title = {Gauss{\textendash}Newton method for solving linear inverse problems with neural network coders}, doi = {10.1007/s43670-023-00066-6}, journal = {Sampl. Theory Signal Process. Data Anal.}, fjournal = {Sampling Theory, Signal Processing, and Data Analysis}, number = {2}, pdf = {https://link.springer.com/content/pdf/10.1007/s43670-023-00066-6.pdf}, volume = {21}, year = {2023}, }

@inproceedings{SchmElbQueRitSch23, author = {Schmutz, D. and Elbau, P. and Quellmalz, M. and Ritsch-Marte, M. and Scherzer, O. and Steidl G.}, title = {Rigid Motion Reconstruction in Parallel Beam and Diffraction Tomography}, booktitle = {Oberwolfach Reports: Tomographic Inverse Problems - Mathematical Challenges and Novel Applications}, number = {21}, pages = {41--43}, pdf = {https://publications.mfo.de/bitstream/handle/mfo/4061/OWR_2023_21.pdf}, publisher = {Mathematisches Forschungsinstitut Oberwolfach}, url = {https://publications.mfo.de/handle/mfo/4061}, year = {2023}, }

@inproceedings{SheKraHubSchDre23, author = {Sherina, E. and Krainz, L. and Hubmer, S. and Scherzer, O. and Drexler, W.}, title = {Inversion Methods for Strain and Stiffness Reconstruction in Quantitative Optical Coherence Elastography}, booktitle = {Oberwolfach Reports: Tomographic Inverse Problems - Mathematical Challenges and Novel Applications}, number = {21/2023}, pages = {82--85}, pdf = {https://publications.mfo.de/bitstream/handle/mfo/4061/OWR_2023_21.pdf}, publisher = {Mathematisches Forschungsinstitut Oberwolfach}, url = {https://publications.mfo.de/handle/mfo/4061}, year = {2023}, }

@article{BotDonElbSch22, author = {Boţ, R. and Dong, G. and Elbau, P. and Scherzer, O.}, title = {Convergence Rates of First and Higher Order Dynamics for Solving Linear Ill-posed Problems}, doi = {10.1007/s10208-021-09536-6}, journal = {Found. Comput. Math.}, fjournal = {Foundations of Computational Mathematics}, pages = {1567--1629}, pdf = {https://link.springer.com/content/pdf/10.1007/s10208-021-09536-6.pdf}, volume = {22}, year = {2022}, }

@incollection{FauKirQueSchSet22a, author = {Faucher, F. and Kirisits, C. and Quellmalz, M. and Scherzer, O. and Setterqvist, E.}, title = {Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion}, booktitle = {Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging}, doi = {10.1007/978-3-030-03009-4_115-1}, url = {https://link.springer.com/referenceworkentry/10.1007/978-3-030-03009-4_115-1}, year = {2022}, }

@article{FriMelSch22, author = {Frischauf, L. and Melching, M. and Scherzer, O.}, title = {Diffusion tensor regularization with metric double integrals}, doi = {10.1515/jiip-2021-0041}, journal = {J. Inverse Ill-Posed Probl.}, fjournal = {Journal of Inverse and Ill-Posed Problems}, number = {2}, pages = {163--190}, pdf = {https://www.degruyter.com/document/doi/10.1515/jiip-2021-0041/pdf}, volume = {30}, year = {2022}, }

@incollection{KirSchShe22, author = {Scherzer, O. and Kirisits, C. and Sherina, E.}, title = {Optical Flow On Manifolds and For Elastography}, booktitle = {Mathematical Imaging and Surface Processing}, doi = {10.14760/owr-2022-38}, editor = {Ben-Chen, M. and Chambolle, A. and Rumpf, M. and Schröder, P.}, number = {2022/38}, pages = {17--19}, pdf = {https://publications.mfo.de/bitstream/handle/mfo/3978/OWR_2022_38.pdf?sequence=1&isAllowed=y}, publisher = {Oberwolfach Reports}, series = {Oberwolfach Reports}, year = {2022}, }

@article{KitMinSch22, author = {Kittenberger, A. and Mindrinos, L. and Scherzer, O.}, title = {Computed Origami Tomography}, doi = {10.1137/20M1378247}, journal = {{SIAM} Rev.}, fjournal = {{SIAM} Review}, number = {2}, pages = {469--484}, url = {https://epubs.siam.org/doi/10.1137/20M1378247}, volume = {64}, year = {2022}, }

@article{KraSheHubLiuDre22, author = {Krainz, L. and Sherina, E. and Hubmer, S. and Liu, M. and Drexler, W. and Scherzer, O.}, title = {Quantitative Optical Coherence Elastography: A Novel Intensity-Based Inversion Method Versus Strain-Based Reconstructions}, doi = {10.1109/jstqe.2022.3225108}, journal = {{IEEE} J. Sel. Topics Quantum Electron.}, fjournal = {{IEEE} Journal of Selected Topics in Quantum Electronics}, month = jul, number = {4: Biophotonics}, pages = {1--16}, pdf = {https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9964203}, volume = {29}, year = {2022}, }

@article{ParSch22, author = {Parzer, F. and Scherzer, O.}, title = {On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems}, doi = {10.1007/s00211-022-01314-y}, journal = {Numer. Math.}, fjournal = {Numerische Mathematik}, pdf = {https://link.springer.com/content/pdf/10.1007/s00211-022-01314-y.pdf}, url = {https://link.springer.com/article/10.1007/s00211-022-01314-y}, year = {2022}, }

@incollection{AspFriKorSch21, author = {Aspri, A. and Frischauf, L. and Korolev, Y. and Scherzer, O.}, title = {Data Driven Reconstruction Using Frames and Riesz Bases}, booktitle = {Deterministic and Stochastic Optimal Control and Inverse Problems}, doi = {10.1201/9781003050575-13}, editor = {Jadamba, B. and Khan, A.~A. and Migórski, S. and Sama, M.}, pages = {303--318}, publisher = {CRC Press}, year = {2021}, }

@article{FauHooSch20, author = {Faucher, F. and de Hoop, M.~V. and Scherzer, O.}, title = {Reciprocity-gap misfit functional for Distributed Acoustic Sensing, combining data from passive and active sources}, doi = {10.1190/geo2020-0305.1}, journal = {Geophysics}, fjournal = {Geophysics}, number = {2}, pages = {R211--R220}, pdf = {https://library.seg.org/doi/pdf/10.1190/geo2020-0305.1}, url = {https://library.seg.org/doi/10.1190/geo2020-0305.1}, volume = {86}, year = {2021}, }

@article{GroKriKunRamSch22, author = {Kritzer, P. and Grohs, P. and Kunisch, K. and Ramlau, R. and Scherzer, O.}, title = {RICAM, the Johann Radon Institute for Computational and Applied Mathematics}, doi = {10.4171/mag-37}, journal = {Eur. Math. Soc. Mag.}, fjournal = {European Mathematical Society Magazine}, month = dec, number = {122}, pages = {46--51}, year = {2021}, }

@incollection{KalNguSch21, author = {Kaltenbacher, B. and Nguyen, T.~T.~N. and Scherzer, O.}, title = {The Tangential Cone Condition for Some Coefficient Identification Model Problems in Parabolic PDEs}, booktitle = {Time-dependent Problems in Imaging and Parameter Identification}, doi = {10.1007/978-3-030-57784-1_5}, editor = {Kaltenbacher, B. and Schuster, T. and Wald, A.}, pages = {121--163}, publisher = {Springer, Cham}, year = {2021}, }

@article{KirQueRitSchSet21, author = {Kirisits, C. and Quellmalz, M. and Ritsch-Marte, M. and Scherzer, O. and Setterqvist, E. and Steidl, G.}, title = {Fourier reconstruction for diffraction tomography of an object rotated into arbitrary orientations}, doi = {10.1088/1361-6420/ac2749}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {11}, pages = {115002}, pdf = {https://iopscience.iop.org/article/10.1088/1361-6420/ac2749/pdf}, volume = {37}, year = {2021}, }

@incollection{LopMerSadSchSchn21, author = {L{\'o}pez-Mart{\'i}nez, M. and Mercier, G. and Sadiq, K. and Scherzer, O. and Schneider, M. and Schotland, J.~C. and Sch{\"u}tz, G.~J. and Telschow, R.}, title = {Inverse Problems of Single Molecule Localization Microscopy}, booktitle = {Time-dependent Problems in Imaging and Parameter Identification}, doi = {10.1007/978-3-030-57784-1_12}, editor = {Kaltenbacher, B. and Schuster, T. and Wald, A.}, pages = {323--376}, publisher = {Springer Nature}, year = {2021}, }

@article{SchnTelMerLopSch21, author = {Schneider, M.~C. and Telschow, R. and Mercier, G. and L{\'o}pez-Mart{\'i}nez, M. and Scherzer, O. and Schütz, G.~J. }, title = {A workflow for sizing oligomeric biomolecules based on cryo single molecule localization microscopy}, doi = {10.1371/journal.pone.0245693}, journal = {{PLoS} {ONE}}, fjournal = {{PLoS} {ONE}}, number = {1}, pages = {e0245693}, pdf = {https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0245693&type=printable}, url = {https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0245693}, volume = {16}, year = {2021}, }

@inproceedings{SheKraHubDreSch21, author = {Sherina, E. and Krainz, L. and Hubmer, S. and Drexler, W. and Scherzer, O.}, title = {Challenges for Optical Flow Estimates in Elastography}, booktitle = {Scale Space and Variational Methods in Computer Vision. SSVM 2021. Lecture Notes in Computer Science}, doi = {10.1007/978-3-030-75549-2_11}, number = {1}, pages = {128--139}, year = {2021}, }

@article{AspBanOekSch20, author = {Aspri, A. and Banert, S. and Öktem, O. and Scherzer, O.}, title = {A Data-Driven Iteratively Regularized Landweber Iteration}, doi = {10.1080/01630563.2020.1740734}, journal = {Numer. Funct. Anal. Optim.}, fjournal = {Numerical Functional Analysis and Optimization}, month = mar, number = {10}, pages = {1190--1227}, url = {https://www.tandfonline.com/doi/full/10.1080/01630563.2020.1740734}, volume = {41}, year = {2020}, }

@article{AspBerSchMus20, author = {Aspri, A. and Beretta, E. and Scherzer, O. and Muszkieta, M.}, title = {Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography}, doi = {10.1137/20m1317062}, journal = {{SIAM} J. Imaging Sciences}, fjournal = {{SIAM} Journal on Imaging Sciences}, number = {4}, pages = {1781--1833}, volume = {13}, year = {2020}, }

@article{AspKorSch20, author = {Aspri, A. and Korolev, Y. and Scherzer, O.}, title = {Data driven regularization by projection}, doi = {10.1088/1361-6420/abb61b}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, month = dec, number = {12}, pages = {125009}, pdf = {https://iopscience.iop.org/article/10.1088/1361-6420/abb61b/pdf}, url = {https://iopscience.iop.org/article/10.1088/1361-6420/abb61b}, volume = {36}, year = {2020}, }

@article{ElbRitSchSchm20, author = {Elbau, P. and Ritsch-Marte, M. and Scherzer, O. and Schmutz, D.}, title = {Motion Reconstruction for Optical Tomography of Trapped Objects}, doi = {10.1088/1361-6420/ab67db}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {4}, pages = {044004}, pdf = {https://iopscience.iop.org/article/10.1088/1361-6420/ab67db/pdf}, url = {https://iopscience.iop.org/article/10.1088/1361-6420/ab67db}, volume = {36}, year = {2020}, }

@article{FauSch20, author = {Faucher, F. and Scherzer, O.}, title = {Adjoint-state method for Hybridizable Discontinuous Galerkin discretization, application to the inverse acoustic wave problem}, doi = {10.1016/j.cma.2020.113406}, journal = {Comput. Math. Appl. Mech. Eng.}, fjournal = {Computer Methods in Applied Mechanics and Engineering}, pages = {113406}, pdf = {https://www.sciencedirect.com/science/article/pii/S0045782520305910/pdfft?md5=61cf2f02dc6e28088779423ce89d3369&pid=1-s2.0-S0045782520305910-main.pdf}, url = {https://www.sciencedirect.com/science/article/pii/S0045782520305910?via%3Dihub}, volume = {372}, year = {2020}, }

@article{FauSchBar20, author = {Faucher, F. and Scherzer, O. and Barucq, H.}, title = {Eigenvector Models for Solving the Seismic Inverse Problem for the Helmholtz Equation}, doi = {10.1093/gji/ggaa009}, issue = {1}, journal = {Geophys. J. Int.}, fjournal = {Geophysical Journal International}, month = jan, pages = {394--414}, pdf = {https://academic.oup.com/gji/advance-article-pdf/doi/10.1093/gji/ggaa009/31766660/ggaa009.pdf}, url = {https://academic.oup.com/gji/article/221/1/394/5698305}, volume = {221}, year = {2020}, }

@article{IglMerSch20, author = {Iglesias, J.~A. and Mercier, G. and Scherzer, O.}, title = {Critical Yield Numbers and Limiting Yield Surfaces of Particle Arrays Settling in a Bingham Fluid}, doi = {10.1007/s00245-018-9531-8}, journal = {Appl. Math. Optim.}, fjournal = {Applied Mathematics {\&} Optimization}, number = {2}, pages = {399--432}, pdf = {https://link.springer.com/content/pdf/10.1007%2Fs00245-018-9531-8.pdf}, url = {https://link.springer.com/article/10.1007/s00245-018-9531-8}, volume = {82}, year = {2020}, }

@article{MelSch20, author = {Melching, M. and Scherzer, O.}, title = {Regularization with metric double integrals for vector tomography}, doi = {10.1515/jiip-2019-0084}, journal = {J. Inverse Ill-Posed Probl.}, fjournal = {Journal of Inverse and Ill-Posed Problems}, number = {6}, pages = {857--875}, pdf = {https://www.degruyter.com/document/doi/10.1515/jiip-2019-0084/pdf}, url = {https://www.degruyter.com/document/doi/10.1515/jiip-2019-0084/html}, volume = {28}, year = {2020}, }

@incollection{SchKirQueRitSet20, author = {Scherzer, O. and Kirisits, C. and Quellmalz, M. and Ritsch-Marte, M. and Setterqvist, E. and Steidl, G.}, title = {Reconstruction formulae for diffraction tomography with optical tweezers}, booktitle = {Computational Inverse Problems for Partial Differential Equations (hybrid meeting)}, editor = {Borcea, L. and Hohage, T. and Kaltenbacher, B.}, number = {39/2020}, pages = {32--34}, pdf = {https://publications.mfo.de/bitstream/handle/mfo/3829/OWR_2020_39.pdf?sequence=4&isAllowed=y}, publisher = {Oberwolfach Reports}, series = {Oberwolfach reports}, url = {https://publications.mfo.de/handle/mfo/3829}, year = {2020}, }

@article{SheKraHubDreSch20, author = {Sherina, E. and Krainz, L. and Hubmer, S. and Drexler, W. and Scherzer, O.}, title = {Displacement field estimation from {OCT} images utilizing speckle information with applications in quantitative elastography}, doi = {10.1088/1361-6420/abaf65}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {12}, pages = {124003}, pdf = {https://iopscience.iop.org/article/10.1088/1361-6420/abaf65/pdf}, url = {https://iopscience.iop.org/article/10.1088/1361-6420/abaf65}, volume = {36}, year = {2020}, }

@incollection{RamSch19a, author = {Ramlau, R. and Scherzer, O.}, title = {100 years of Mathematical Tomography}, booktitle = {The Radon Transform: The First 100 Years and Beyond}, editor = {Ramlau, R. and Scherzer, O.}, isbn = {978-3-11-056085-5}, number = {22}, pages = {1--4}, publisher = {De Gruyter}, series = {Radon Series on Computational and Applied Mathematics}, url = {https://www.degruyter.com/view/books/9783110560855/9783110560855-201/9783110560855-201.xml}, year = {2019}, }

@article{BeiSchSogZul19, author = {Beigl, A. and Scherzer, O. and Sogn, J. and Zulehner, W.}, title = {Preconditioning Inverse Problems for Hyperbolic Equations with Applications to Photoacoustic Tomography}, doi = {10.1088/1361-6420/ab3d08}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, month = dec, number = {1}, pages = {014002}, pdf = {https://iopscience.iop.org/article/10.1088/1361-6420/ab3d08/pdf}, url = {https://iopscience.iop.org/article/10.1088/1361-6420/ab3d08}, volume = {36}, year = {2019}, }

@inproceedings{BotDonElbSch19, author = {Bo{\c{t}}, R. and Dong, G. and Elbau, P. and Scherzer, O.}, title = {Convergence Rates of First and Higher Order Dynamics for Solving Linear Inverse Problems}, booktitle = {Tomographic Inverse Problems: Theory and Applications}, doi = {10.4171/owr/2019/4}, number = {16}, pages = {227--229}, pdf = {https://publications.mfo.de/bitstream/handle/mfo/3720/OWR_2019_04.pdf?sequence=1&isAllowed=y}, publisher = {EMS Publishing House}, series = {Oberwolfach reports}, url = {https://publications.mfo.de/handle/mfo/3720}, year = {2019}, }

@article{CiaMelSch19, author = {Ciak, R. and Melching, M. and Scherzer, O.}, title = {Regularization with Metric Double Integrals of Functions with Values in a Set of Vectors}, doi = {10.1007/s10851-018-00869-6}, journal = {J. Math. Imaging Vision}, fjournal = {Journal of Mathematical Imaging and Vision}, pdf = {https://link.springer.com/content/pdf/10.1007%2Fs10851-018-00869-6.pdf}, url = {https://link.springer.com/article/10.1007/s10851-018-00869-6}, year = {2019}, }

@inproceedings{KirSchSet19, author = {Kirisits, C. and Scherzer, O. and Setterqvist, E.}, title = {Preservation of Piecewise Constancy under TV Regularization with Rectilinear Anisotropy}, booktitle = {Scale Space and Variational Methods in Computer Vision. SSVM 2019. Lecture Notes in Computer Science}, doi = {10.1007/978-3-030-22368-7_40}, editor = {Lellmann, J. and Burger, M. and Modersitzki, J.}, pages = {510--521}, publisher = {Springer}, volume = {11603}, year = {2019}, }

@article{KirSchSet19a, author = {Kirisits, C. and Scherzer, O. and Setterqvist, E.}, title = {Invariant $\varphi$-Minimal Sets and Total Variation Denoising on Graphs}, doi = {10.1137/19m124126x}, journal = {{SIAM} J. Imaging Sciences}, fjournal = {{SIAM} Journal on Imaging Sciences}, number = {4}, pages = {1643-1668}, volume = {12}, year = {2019}, }

@article{BeiElbSadSch18, author = {Beigl, A. and Elbau, P. and Sadiq, K. and Scherzer, O.}, title = {Quantitative Photoacoustic Imaging in the Acoustic Regime using SPIM}, doi = {10.1088/1361-6420/aab584}, eid = {054003}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, month = apr, number = {4}, volume = {35}, year = {2018}, }

@article{ElbMinSch18, author = {Elbau, P. and Mindrinos, L. and Scherzer, O.}, title = {Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging}, doi = {10.1088/1361-6420/aa9ae7}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {1}, pages = {014006}, pdf = {https://iopscience.iop.org/article/10.1088/1361-6420/aa9ae7/pdf}, url = {http://stacks.iop.org/0266-5611/34/i=1/a=014006}, volume = {34}, year = {2018}, }

@article{ElbMinSch18a, author = {Elbau, P. and Mindrinos, L. and Scherzer, O.}, title = {The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography}, doi = {10.1007/s13137-017-0102-y}, journal = {GEM. Int. J. Geomath.}, fjournal = {GEM - International Journal on Geomathematics}, number = {1}, pages = {145--165}, url = {https://link.springer.com/content/pdf/10.1007%2Fs13137-017-0102-y.pdf}, volume = {9}, year = {2018}, }

@article{HubSheNeuSch18, author = {Hubmer, S. and Sherina, E. and Neubauer, A. and Scherzer, O.}, title = {Lam{\'e} Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems}, doi = {10.1137/17m1154461}, journal = {{SIAM} J. Imaging Sciences}, fjournal = {{SIAM} Journal on Imaging Sciences}, number = {2}, pages = {1268--1293}, volume = {11}, year = {2018}, }

@article{IglMerSch18, author = {Iglesias, J.~A. and Mercier, G. and Scherzer, O.}, title = {A note on convergence of solutions of total variation regularized linear inverse problems}, doi = {10.1088/1361-6420/aab92a}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {5}, pages = {055011}, pdf = {http://iopscience.iop.org/article/10.1088/1361-6420/aab92a/pdf}, url = {http://iopscience.iop.org/article/10.1088/1361-6420/aab92a}, volume = {34}, year = {2018}, }

@article{IglRumSch18, author = {Iglesias, J.~A. and Rumpf, M. and Scherzer, O.}, title = {Shape-Aware Matching of Implicit Surfaces Based on Thin Shell Energies}, doi = {10.1007/s10208-017-9357-9}, journal = {Found. Comput. Math.}, fjournal = {Foundations of Computational Mathematics}, number = {4}, pages = {891--927}, pdf = {https://link.springer.com/content/pdf/10.1007%2Fs10208-017-9357-9.pdf}, url = {https://link.springer.com/article/10.1007/s10208-017-9357-9}, volume = {18}, year = {2018}, }

@article{KirSch18, author = {Kirisits, C. and Scherzer, O.}, title = {A Range Condition for Polyconvex Variational Regularization}, doi = {10.1080/01630563.2018.1467447}, journal = {Numer. Funct. Anal. Optim.}, fjournal = {Numerical Functional Analysis and Optimization}, number = {10}, pages = {1064-1076}, pdf = {https://www.tandfonline.com/doi/pdf/10.1080/01630563.2018.1467447}, url = {https://www.tandfonline.com/doi/full/10.1080/01630563.2018.1467447}, volume = {39}, year = {2018}, }

@article{RamSch18a, author = {Ramlau, R. and Scherzer, O.}, title = {The first 100 years of the Radon transform}, doi = {10.1088/1361-6420/aacf27}, issue = {9}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, month = jul, pages = {E1-E4}, pdf = {http://iopscience.iop.org/article/10.1088/1361-6420/aacf27/pdf}, url = {http://iopscience.iop.org/article/10.1088/1361-6420/aacf27}, volume = {34}, year = {2018}, }

@article{SchShi18, author = {Scherzer, O. and Shi, C.}, title = {Reconstruction formulas for photoacoustic imaging in attenuating media}, doi = {10.1088/1361-6420/aa9ade}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, month = jan, number = {1}, pages = {015006}, volume = {34}, year = {2018}, }

@inproceedings{DonSch17, author = {Dong, G. and Scherzer, O.}, title = {Nonlinear Flows for Displacement Correction and Applications in Tomography}, booktitle = {Scale Space and Variational Methods in Computer Vision. SSVM 2017}, doi = {10.1007/978-3-319-58771-4_23}, editor = {Lauze, F. and Dong, Y. and Dahl, A.}, month = may, numpages = {12}, pages = {283--294}, publisher = {Springer}, series = {LNCS}, url = {https://link.springer.com/chapter/10.1007/978-3-319-58771-4_23}, volume = {10302}, year = {2017}, }

@article{ElbMinSch17, author = {Elbau, P. and Mindrinos, L. and Scherzer, O.}, title = {Inverse problems of combined photoacoustic and optical coherence tomography}, doi = {10.1002/mma.3915}, journal = {Math. Methods Appl. Sci.}, fjournal = {Mathematical Methods in the Applied Sciences}, month = feb, number = {3}, pages = {505--522}, url = {http://onlinelibrary.wiley.com/doi/10.1002/mma.3915/epdf}, volume = {40}, year = {2017}, }

@inproceedings{ElbMinSch17b, author = {Elbau, P. and Mindrinos, L. and Scherzer, O.}, title = {Modeling polarization-sensitive OCT using inverse scattering techniques}, booktitle = {Imaging and Applied Optics 2017}, doi = {10.1364/math.2017.mw3c.3}, location = {OSA Imaging and Applied Optics Congress, San Francisco, California, United States}, month = jun, pages = {MW3C.3}, publisher = {Optical Society of America}, year = {2017}, }

@article{ElbSchShi17, author = {Elbau, P. and Scherzer, O. and Shi, C.}, title = {Singular Values of the Attenuated Photoacoustic Imaging Operator}, doi = {10.1016/j.jde.2017.06.018}, journal = {J. Differential Equations}, fjournal = {Journal of Differential Equations}, month = nov, number = {9}, pages = {5330--5376}, volume = {263}, year = {2017}, }

@article{FriIglMerPoeSch17, author = {Frigaard, I.~A. and Iglesias, J.~A. and Mercier, G. and P\"oschl, C. and Scherzer, O.}, title = {Critical Yield Numbers of Rigid Particles Settling in Bingham Fluids and Cheeger Sets}, doi = {10.1137/16m10889770}, journal = {{SIAM} J. Appl. Math.}, fjournal = {{SIAM} Journal on Applied Mathematics}, month = jan, number = {2}, pages = {638--663}, url = {http://dx.doi.org/10.1137/16M10889770}, volume = {77}, year = {2017}, }

@article{KirSch17, author = {Kirisits, C. and Scherzer, O.}, title = {Convergence rates for regularization functionals with polyconvex integrands}, doi = {10.1088/1361-6420/aa7a1e}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, month = aug, number = {8}, pages = {085008}, volume = {33}, year = {2017}, }

@article{LanSch17, author = {Lang, L.~F. and Scherzer, O.}, title = {Optical flow on evolving sphere-like surfaces}, doi = {10.3934/ipi.2017015}, journal = {Inverse Probl. Imaging}, fjournal = {Inverse Problems {\&} Imaging}, month = apr, number = {2}, pages = {305--338}, volume = {11}, year = {2017}, }

@article{PatSch17, author = {Patrone, A.~P. and Scherzer, O.}, title = {On a spatial-temporal decomposition of optical flow}, doi = {10.3934/ipi.2017036}, journal = {Inverse Probl. Imaging}, fjournal = {Inverse Problems {\&} Imaging}, month = aug, number = {4}, pages = {761--781}, volume = {11}, year = {2017}, }

@article{AlbElbHooSch16, author = {Albani, V. and Elbau, P. and de Hoop, M. V. and Scherzer, O.}, title = {Optimal Convergence Rates Results for Linear Inverse Problems in {H}ilbert Spaces}, doi = {10.1080/01630563.2016.1144070}, journal = {Numer. Funct. Anal. Optim.}, fjournal = {Numerical Functional Analysis and Optimization}, number = {5}, pages = {521--540}, url = {http://www.tandfonline.com/doi/pdf/10.1080/01630563.2016.1144070}, volume = {37}, year = {2016}, }

@article{BelGlaSch16a, author = {Belhachmi, Z. and Glatz, T. and Scherzer, O.}, title = {A direct method for photoacoustic tomography with inhomogeneous sound speed}, doi = {10.1088/0266-5611/32/4/045005}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {4}, pages = {045005}, url = {http://iopscience.iop.org/article/10.1088/0266-5611/32/4/045005/pdf}, volume = {32}, year = {2016}, }

@article{BelGlaSch16b, author = {Belhachmi, Z. and Glatz, T. and Scherzer, O.}, title = {Photoacoustic Tomography With Spatially Varying Compressibility and Density}, doi = {10.1515/jiip-2015-0113}, journal = {J. Inverse Ill-Posed Probl.}, fjournal = {Journal of Inverse and Ill-Posed Problems}, month = sep, pages = {119-133}, volume = {25}, year = {2016}, }

@article{BerHooFauSch16, author = {Beretta, E. and de Hoop, M.~V. and Faucher, F. and Scherzer, O.}, title = {Inverse boundary value problem for the {H}elmholtz equation: quantitative conditional {L}ipschitz stability estimates}, doi = {10.1137/15m1043856}, issue = {6}, journal = {{SIAM} J. Math. Anal.}, fjournal = {{SIAM} Journal on Mathematical Analysis}, pages = {3962--3983}, volume = {48}, year = {2016}, }

@incollection{BerMusNaeSch16, author = {Beretta, E. and Muszkieta, M. and Naetar, W. and Scherzer, O.}, title = {A variational method for quantitative photoacoustic tomography with piecewise constant coefficients}, booktitle = {Variational Methods in Imaging and Geometric Control}, doi = {10.1515/9783110430394-006}, editor = {Bergounioux, M. and Peyre, G. and Schn{\"o}rr, C. and Caillau, J.B. and Haberkorn, T.}, location = {Berlin}, pages = {202--224}, publisher = {Walter de Gruyter GmbH \& Co. KG}, series = {Radon Series on Computational and Applied Mathematics}, year = {2016}, }

@inproceedings{ElbMinSch16a, author = {Elbau, P. and Mindrinos, L. and Scherzer, O.}, title = {The Inverse Scattering Problem in Optical Coherence Tomography}, booktitle = {Imaging and Applied Optics 2016}, doi = {10.1364/math.2016.mw5h.6}, location = {Imaging and Applied Optics 2016 congress in Heidelberg, Germany from 25 until 28 July 2016}, pages = {MW5H.6}, publisher = {Optical Society of America}, year = {2016}, }

@inproceedings{ElbMinSch16b, author = {Elbau, P. and Mindrinos, L. and Scherzer, O.}, title = {The inverse electromagnetic scattering problem in OCT for anisotropic media}, booktitle = {Oberwolfach Conference: Theory and Numerics of Inverse Scattering Problems}, doi = {10.4171/owr/2016/45}, editor = {Cakoni, F. and Hanke-Bourgeois, M. and Kirsch, A. and Rundell, W.}, issue = {3}, pages = {2612--2615}, publisher = {EMS Publishing House}, series = {Oberwolfach reports}, url = {https://www.mfo.de/document/1638b/OWR_2016_45.pdf}, volume = {13}, year = {2016}, }

@article{SadSchTam16, author = {Sadiq, K. and Scherzer, O. and Tamasan, A.}, title = {On the {X}-ray transform of planar symmetric 2-tensors}, doi = {10.1016/j.jmaa.2016.04.018}, journal = {J. Math. Anal. Appl.}, fjournal = {Journal of Mathematical Analysis and Applications}, month = oct, number = {1}, pages = {31--49}, volume = {442}, year = {2016}, }

@article{SchmGlaZabLiuDreSch16, author = {Schmid, J. and Glatz, T. and Zabihian, B. and Liu, M. and Drexler, W. and Scherzer, O.}, title = {Non-Equispaced Grid Sampling in Photoacoustics with a Non-Uniform FFT}, doi = {10.1117/1.jbo.21.1.015005}, journal = {J. Biomed. Opt.}, fjournal = {Journal of Biomedical Optics}, number = {1}, pages = {015005}, url = {http://biomedicaloptics.spiedigitallibrary.org/pdfaccess.ashx?ResourceID=12311871&PDFSource=24}, volume = {21}, year = {2016}, }

@article{AndElbHooQiuSch15, author = {Andreev, R. and Elbau, P. and de Hoop, M.~V. and Qiu, L. and Scherzer, O.}, title = {Generalized Convergence Rates Results for Linear Inverse Problems in {H}ilbert Spaces}, doi = {10.1080/01630563.2015.1021422}, journal = {Numer. Funct. Anal. Optim.}, fjournal = {Numerical Functional Analysis and Optimization}, month = mar, number = {5}, pages = {549--566}, volume = {36}, year = {2015}, }

@article{AndSchZul15, author = {Andreev, R. and Scherzer, O. and Zulehner, W.}, title = {Simultaneous optical flow and source estimation: Space{\textendash}time discretization and preconditioning}, doi = {10.1016/j.apnum.2015.04.007}, journal = {Appl. Numer. Math.}, fjournal = {Applied Numerical Mathematics}, month = oct, pages = {72--81}, url = {http://www.sciencedirect.com/science/article/pii/S0168927415000781/pdfft?md5=456b4d96e56cd49d9011e4347794b6af&pid=1-s2.0-S0168927415000781-main.pdf}, volume = {96}, year = {2015}, }

@article{ConKalSch15a, author = {Constantin, A. and Kalimeris, K. and Scherzer, O.}, title = {A penalization method for calculating the flow beneath travelling water waves of large amplitude}, doi = {10.1137/14096966x}, journal = {{SIAM} J. Appl. Math.}, fjournal = {{SIAM} Journal on Applied Mathematics}, month = jul, number = {4}, pages = {1513--1535}, url = {http://dx.doi.org/10.1137/14096966X}, volume = {75}, year = {2015}, }

@article{ConKalSch15b, author = {Constantin, A. and Kalimeris, K. and Scherzer, O.}, title = {Approximations of steady periodic water waves in flows with constant vorticity}, doi = {10.1016/j.nonrwa.2015.04.003}, issn = {1468-1218}, journal = {Nonlinear Anal. Real World Appl.}, fjournal = {Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal}, month = oct, pages = {276--306}, url = {http://dx.doi.org/10.1016/j.nonrwa.2015.04.003}, volume = {25}, year = {2015}, }

@inproceedings{DonPatSchOek15, author = {Dong, G. and Patrone, A.R. and Scherzer, O. and {\"O}ktem, O.}, title = {Infinite Dimensional Optimization Models and PDEs for Dejittering}, booktitle = {Scale Space and Variational Methods in Computer Vision 5th International Conference, SSVM 2015, L{\`e}ge-Cap Ferret, France, May 31 - June 4, 2015, Proceedings}, doi = {10.1007/978-3-319-18461-6_54}, month = apr, pages = {678--689}, publisher = {Springer}, url = {http://link.springer.com/chapter/10.1007/978-3-319-18461-6_54}, year = {2015}, }

@incollection{ElbMinSch15, author = {Elbau, P. and Mindrinos, L. and Scherzer, O.}, title = {Mathematical Methods of Optical Coherence Tomography}, booktitle = {Handbook of Mathematical Methods in Imaging}, doi = {10.1007/978-1-4939-0790-8_44}, editor = {Scherzer, O.}, pages = {1169--1204}, publisher = {Springer New York}, url = {http://link.springer.com/referenceworkentry/10.1007/978-1-4939-0790-8_44}, year = {2015}, }

@article{ElbSch15, author = {Elbau, P. and Scherzer, O.}, title = {Modelling the Effect of Focusing Detectors in Photoacoustic Sectional Imaging}, doi = {10.1137/120882962}, journal = {{SIAM} J. Imaging Sciences}, fjournal = {{SIAM} Journal on Imaging Sciences}, month = jan, number = {1}, pages = {1--18}, url = {http://dx.doi.org/10.1137/120882962}, volume = {8}, year = {2015}, }

@article{ElbSch15a, author = {Elbau, P. and Scherzer, O.}, title = {RADAR Imaging - A Mathematical Perspective}, issn = {2411-5312}, journal = {Schriftenreihe zur Didaktik der Mathematik der {\"O}sterreichischen Mathematischen Gesellschaft}, fjournal = {Schriftenreihe zur Didaktik der Mathematik der {\"O}sterreichischen Mathematischen Gesellschaft}, pages = {available only online}, publisher = {{\"O}sterreichische Mathematische Gesellschaft}, url = {http://www.oemg.ac.at/DK/Didaktikhefte/2015%20Band%2048/VortragElbauScherzer.pdf}, volume = {48}, year = {2015}, }

@article{GlaSchWid15, author = {Glatz, T. and Scherzer, O. and Widlak, T.}, title = {Texture Generation for Photoacoustic Elastography}, doi = {10.1007/s10851-015-0561-4}, journal = {J. Math. Imaging Vision}, fjournal = {Journal of Mathematical Imaging and Vision}, month = jan, number = {3}, pages = {369--384}, volume = {52}, year = {2015}, }

@incollection{GraHalSch15, author = {Grasmair, M. and Haltmeier, M. and Scherzer, O.}, title = {Sparsity in Inverse Geophysical Problems}, booktitle = {Handbook of Geomathematics}, doi = {10.1007/978-3-642-27793-1_25-2}, editor = {Freeden, W. and Nashed, M.~Z. and Sonar, T.}, isbn = {978-3-642-27793-1}, publisher = {Springer Berlin Heidelberg}, year = {2015}, }

@article{HooQiuSch15, author = {de Hoop, M.~V. and Qiu, L. and Scherzer, O.}, title = {An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints}, doi = {10.1007/s00211-014-0629-x}, journal = {Numer. Math.}, fjournal = {Numerische Mathematik}, month = jan, number = {1}, pages = {127--148}, url = {http://dx.doi.org/10.1007/s00211-014-0629-x}, volume = {129}, year = {2015}, }

@article{KirLanSch15, author = {Kirisits, C. and Lang, L.~F. and Scherzer, O.}, title = {Optical Flow on Evolving Surfaces with Space and Time Regularisation}, doi = {10.1007/s10851-014-0513-4}, issn = {0924-9907}, journal = {J. Math. Imaging Vision}, fjournal = {Journal of Mathematical Imaging and Vision}, month = may, number = {1}, pages = {55--70}, publisher = {Springer Berlin Heidelberg}, url = {http://dx.doi.org/10.1007/s10851-014-0513-4}, volume = {52}, year = {2015}, }

@article{KirPoeResSch15, author = {Kirisits, C. and P{\"o}schl, C. and Resmerita, E. and Scherzer, O.}, title = {Finite-dimensional approximation of convex regularization via hexagonal pixel grids}, doi = {10.1080/00036811.2014.958998}, journal = {Appl. Anal.}, fjournal = {Applicable Analysis}, month = jan, number = {3}, pages = {612--636}, publisher = {Taylor \& Francis}, volume = {94}, year = {2015}, }

@incollection{KucSch15, author = {Kuchment, P. and Scherzer, O.}, title = {Mathematical Methods in Photoacoustic imaging}, booktitle = {Encyclopedia of Applied and Computational Mathematics}, editor = {Engquist, B.}, isbn = {978-3-540-70528-4}, location = {Berlin, Heidelberg}, pages = {1488-1496}, publisher = {Springer-Verlag}, year = {2015}, }

@article{PoeSch15, author = {P{\"o}schl, C. and Scherzer, O.}, title = {Exact solutions of one-dimensional total generalized variation}, doi = {10.4310/cms.2015.v13.n1.a9}, journal = {Commun. Math. Sci.}, fjournal = {Communications in Mathematical Sciences}, number = {1}, pages = {171--202}, publisher = {International Press}, volume = {13}, year = {2015}, }

@inproceedings{SchmZabWidGlaLiu15, author = {Schmid, J. and Zabihian, B. and Widlak, T. and Glatz, T. and Liu, M. and Drexler, W. and Scherzer, O.}, title = {Texture generation in compressional photoacoustic elastography}, booktitle = {Photons Plus Ultrasound: Imaging and Sensing 2015}, doi = {10.1117/12.2079672}, pages = {93232S}, series = {Proceedings of SPIE}, volume = {9323}, year = {2015}, }

@article{WidSch15, author = {Widlak, T. and Scherzer, O.}, title = {Stability in the linearized problem of quantitative elastography}, doi = {10.1088/0266-5611/31/3/035005}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {3}, pages = {035005}, url = {http://iopscience.iop.org/article/10.1088/0266-5611/31/3/035005/pdf}, volume = {31}, year = {2015}, }

@inproceedings{AnsBucValPatSch14, author = {Ansorge, U. and Buchinger, S. and Valuch, C. and Patrone, A.~R. and Scherzer, O.}, title = {Visual Attention in Edited Dynamical Images}, booktitle = {Proceedings of the 11th International Conference on Signal Processing and Multimedia Applications (SIGMAP-2014)}, doi = {10.5220/0005101901980205}, isbn = {978-989-758-046-8}, pages = {198--205}, publisher = {SCITEPRESS}, url = {http://www.scitepress.org/DigitalLibrary/Link.aspx?doi=10.5220%2f0005101901980205}, year = {2014}, }

@article{BerGraMusSch14, author = {Beretta, E. and Grasmair, M. and Muszkieta, M. and Scherzer, O.}, title = {A variational algorithm for the detection of line segments}, doi = {10.3934/ipi.2014.8.389}, issn = {1930-8337}, journal = {Inverse Probl. Imaging}, fjournal = {Inverse Problems {\&} Imaging}, month = may, number = {2}, pages = {389--408}, publisher = {American Institute of Mathematical Sciences}, url = {http://dx.doi.org/10.3934/ipi.2014.8.389}, volume = {8}, year = {2014}, }

@inproceedings{ElbMinSch14, author = {Elbau, P. and Mindrinos, L. and Scherzer, O.}, title = {Mathematical Modeling of Optical Coherence Tomography}, booktitle = {Oberwolfach Conference: Mathematics and Algorithms in Tomography}, doi = {10.4171/owr/2014/37}, pages = {2053--2054}, publisher = {Mathematisches Forschungsinstitut Oberwolfach}, year = {2014}, }

@article{KirLanSch14, author = {Kirisits, C. and Lang, L.~F. and Scherzer, O.}, title = {Decomposition of optical flow on the sphere}, doi = {10.1007/s13137-013-0055-8}, issn = {1869-2672}, journal = {GEM. Int. J. Geomath.}, fjournal = {GEM - International Journal on Geomathematics}, month = apr, number = {1}, pages = {117--141}, publisher = {Springer Berlin Heidelberg}, volume = {5}, year = {2014}, }

@article{NaeSch14, author = {Naetar, W. and Scherzer, O.}, title = {Quantitative photoacoustic tomography with piecewise constant material parameters}, doi = {10.1137/140959705}, journal = {{SIAM} J. Imaging Sciences}, fjournal = {{SIAM} Journal on Imaging Sciences}, month = sep, number = {3}, pages = {1755--1774}, publisher = {SIAM}, volume = {7}, year = {2014}, }

@article{TakJueSch14, author = {Takacs, T. and J{\"u}ttler, B. and Scherzer, O.}, title = {Derivatives of isogeometric functions on n-dimensional rational patches in {$\mathbb R^d$}}, doi = {10.1016/j.cagd.2014.06.005}, issn = {0167-8396}, journal = {Comput. Aided Geom. Design}, fjournal = {Computer Aided Geometric Design}, month = oct, number = {7}, pages = {567--581}, url = {http://www.sciencedirect.com/science/article/pii/S0167839614000636}, volume = {31}, year = {2014}, }

@inproceedings{ValAnsBucPatSch14, author = {Valuch, C. and Ansorge, U. and Buchinger, S. and Patrone, A.~R. and Scherzer, O.}, title = {The effect of cinematic cuts on human attention}, booktitle = {{ACM} International Conference on Interactive Experiences for {TV} and Online Video, {TVX} '14, Newcastle Upon Tyne, United Kingdom, June 25-27, 2014}, doi = {10.1145/2602299.2602307}, month = jun, pages = {119--122}, publisher = {{ACM}}, url = {http://doi.acm.org/10.1145/2602299.2602307}, year = {2014}, }

@article{AbhAicColKorSch13, author = {Abhau, J. and Aichholzer, O. and Colutto, S. and Kornberger, B. and Scherzer, O.}, title = {Shape spaces via medial axis transforms for segmentation of complex geometry in 3{D} voxel data}, doi = {10.3934/ipi.2013.7.1}, journal = {Inverse Probl. Imaging}, fjournal = {Inverse Problems {\&} Imaging}, month = feb, number = {1}, numpages = {25}, pages = {1--25}, url = {http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=8300}, volume = {7}, year = {2013}, }

@article{BalNaeSchSco13, author = {Bal, G. and Naetar, W. and Scherzer, O. and Schotland, J.}, title = {The {L}evenberg-{M}arquardt iteration for numerical inversion of the power density operator}, doi = {10.1515/jip-2012-0091}, issn = {0928-0219}, journal = {J. Inverse Ill-Posed Probl.}, fjournal = {Journal of Inverse and Ill-Posed Problems}, month = feb, number = {2}, numpages = {16}, pages = {265--280}, url = {http://dx.doi.org/10.1515/jip-2012-0091}, volume = {21}, year = {2013}, }

@inproceedings{DonGraKanSch13, author = {Dong, G. and Grasmair, M. and Kang, S. H. and Scherzer, O.}, title = {Scale and Edge Detection with Topological Derivatives}, address = {Berlin, Heidelberg}, booktitle = {{SSVM'13}: Proceedings of the fourth International Conference on Scale Space and Variational Methods in Computer Vision}, doi = {10.1007/978-3-642-38267-3_34}, editor = {Kuijper, A. and Bredies, K. and Pock, T. and Bischof, H.}, month = may, numpages = {12}, pages = {404--415}, publisher = {Springer-Verlag}, series = {Lecture Notes in Computer Science}, volume = {7893}, year = {2013}, }

@article{GraMusSch13, author = {Grasmair, M. and Muszkieta, M. and Scherzer, O.}, title = {An approach to the minimization of the {M}umford-{S}hah functional using $\Gamma$-convergence and topological asymptotic expansion}, doi = {10.4171/ifb/298}, journal = {Interfaces Free Bound.}, fjournal = {Interfaces and Free Boundaries}, number = {2}, pages = {141--166}, url = {http://dx.doi.org/10.4171/IFB/298}, volume = {15}, year = {2013}, }

@article{GraSchVan13, author = {Grasmair, M. and Scherzer, O. and Vanhems, A.}, title = {Nonparametric instrumental regression with non-convex constraints}, doi = {10.1088/0266-5611/29/3/035006}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, month = feb, number = {3}, numpages = {17}, pages = {035006}, url = {http://stacks.iop.org/0266-5611/29/i=3/a=035006}, volume = {29}, year = {2013}, }

@inproceedings{IglBerRumSch13, author = {Iglesias, J.~A. and Berkels, B. and Rumpf, M. and Scherzer, O.}, title = {A Thin Shell Approach to the Registration of Implicit Surfaces}, address = {Lugano, Switzerland}, booktitle = {VMV 2013: Vision, Modeling \& Visualization}, doi = {10.2312/pe.vmv.vmv13.089-096}, editor = {Bronstein, M. and Favre, J. and Hormann, K.}, isbn = {978-3-905674-51-4}, pages = {89--96}, publisher = {Eurographics Association}, url = {http://diglib.eg.org/handle/10.2312/PE.VMV.VMV13.089-096}, year = {2013}, }

@article{KalSch13, author = {Kalimeris, K. and Scherzer, O.}, title = {Photoacoustic imaging in attenuating acoustic media based on strongly causal models}, doi = {10.1002/mma.2756}, issn = {1099-1476}, journal = {Math. Methods Appl. Sci.}, fjournal = {Mathematical Methods in the Applied Sciences}, month = feb, number = {16}, pages = {2254--2264}, url = {http://dx.doi.org/10.1002/mma.2756}, volume = {36}, year = {2013}, }

@inproceedings{KirLanSch13, author = {Kirisits, C. and Lang, L.~F. and Scherzer, O.}, title = {Optical Flow on Evolving Surfaces with an Application to the Analysis of 4{D} Microscopy Data}, address = {Berlin, Heidelberg}, booktitle = {{SSVM'13}: Proceedings of the fourth International Conference on Scale Space and Variational Methods in Computer Vision}, doi = {10.1007/978-3-642-38267-3_21}, editor = {Kuijper, A. and Bredies, K. and Pock, T. and Bischof, H.}, numpages = {12}, pages = {246--257}, publisher = {Springer-Verlag}, series = {Lecture Notes in Computer Science}, volume = {7893}, year = {2013}, }

@inproceedings{Sch13, author = {Scherzer, O.}, title = {Regularization of Ill-posed Linear Equations by the Non-stationary {A}ugmented {L}agrangian Method}, address = {Dagstuhl, Germany}, booktitle = {Algorithms and Complexity for Continuous Problems (Dagstuhl Seminar 12391)}, crossref = {KelKuoNeuTrau13}, editor = {Keller, A. and Kuo, F. and Neuenkirch, A. and Traub, J. F.}, pages = {219--219}, publisher = {Schloss Dagstuhl--Leibniz-Zentrum für Informatik}, series = {Dagstuhl Reports}, url = {https://drops.dagstuhl.de/opus/volltexte/2013/3892/pdf/dagrep_v002_i009_p200_s12391.pdf}, volume = {2(9)}, year = {2013}, }

@article{DeCSchZub12, author = {De Cezaro, A. and Scherzer, O. and Zubelli, J.~P.}, title = {Convex regularization of local volatility models from option prices: {C}onvergence analysis and rates}, doi = {10.1016/j.na.2011.10.037}, issn = {0362-546X}, journal = {Nonlinear Anal.}, fjournal = {Nonlinear Analysis: Theory, Methods {\&} Applications}, month = mar, number = {4}, pages = {2398--2415}, publisher = {Elsevier Ltd}, url = {http://dx.doi.org/10.1016/j.na.2011.10.037}, volume = {75}, year = {2012}, }

@incollection{ElbKirSchSchu12, author = {Elbau, P. and Kirsch, A. and Scherzer, O. and Schulze, R.}, title = {Photoacoustic and Coupled Physics Imaging}, booktitle = {Inverse Problems for Partial Differential Equations}, doi = {10.4171/owr/2012/11}, editor = {Hanke-Bourgeois, M. and Kirsch, A. and Rundell, W. and Lassas, M.}, location = {Oberwolfach, Germany}, pages = {14--17}, publisher = {EMS Publishing House}, series = {Oberwolfach reports}, url = {http://dx.doi.org/10.4171/OWR/2012/11}, volume = {11}, year = {2012}, }

@article{ElbSchSchu12, author = {Elbau, P. and Scherzer, O. and Schulze, R.}, title = {Reconstruction formulas for photoacoustic sectional imaging}, doi = {10.1088/0266-5611/28/4/045004}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, month = mar, number = {4}, pages = {045004}, publisher = {IOP Publishing}, url = {http://dx.doi.org/10.1088/0266-5611/28/4/045004}, volume = {28}, year = {2012}, }

@incollection{ElbSchSchu12a, author = {Elbau, P. and Scherzer, O. and Schulze, R.}, title = {Photoacoustic Sectional Imaging and Reconstruction Formulas for a Single Scattering Model}, booktitle = {Computational Inverse Problems}, doi = {10.4171/owr/2012/51}, editor = {Ammari, H. and Borcea, L. and Hohage, T. and Kaltenbacher, B.}, location = {Oberwolfach, Germany}, pages = {7--8}, publisher = {EMS Publishing House}, series = {Oberwolfach reports}, url = {http://dx.doi.org/10.4171/OWR/2012/51}, volume = {51}, year = {2012}, }

@article{FidGraSch12, author = {Fidler, T. and Grasmair, M. and Scherzer, O.}, title = {Shape Reconstruction with A Priori Knowledge Based on Integral Invariants}, doi = {10.1137/110824735}, issn = {1936-495}, journal = {{SIAM} J. Imaging Sciences}, fjournal = {{SIAM} Journal on Imaging Sciences}, number = {2}, pages = {726--745}, publisher = {SIAM}, url = {http://dx.doi.org/10.1137/110824735}, volume = {5}, year = {2012}, }

@article{HooQiuSch12, author = {de Hoop, M.~V. and Qiu, L. and Scherzer, O.}, title = {Local analysis of inverse problems: {H}{\"o}lder stability and iterative reconstruction}, doi = {10.1088/0266-5611/28/4/045001}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, month = mar, number = {4}, pages = {16pp}, publisher = {IOP Publishing}, url = {http://dx.doi.org/10.1088/0266-5611/28/4/045001}, volume = {28}, year = {2012}, }

@article{KirSch12, author = {Kirsch, A. and Scherzer, O.}, title = {Simultaneous Reconstructions of Absorption Density and Wave Speed with Photoacoustic Measurements}, doi = {10.1137/110849055}, journal = {{SIAM} J. Appl. Math.}, fjournal = {{SIAM} Journal on Applied Mathematics}, month = oct, number = {5}, numpages = {28}, pages = {1508-1523}, url = {http://dx.doi.org/10.1137/110849055}, volume = {72}, year = {2012}, }

@incollection{KowSch12, author = {Kowar, R. and Scherzer, O.}, title = {Attenuation Models in Photoacoustics}, address = {Berlin Heidelberg}, booktitle = {Mathematical Modeling in Biomedical Imaging II: Optical, Ultrasound, and Opto-Acoustic Tomographies}, doi = {10.1007/978-3-642-22990-9}, editor = {Ammari, H.}, isbn = {978-3-642-22989-3}, numpages = {46}, pages = {85--130}, publisher = {Springer Verlag}, series = {Lecture Notes in Mathematics}, url = {http://dx.doi.org/10.1007/978-3-642-22990-9}, volume = {2035}, year = {2012}, }

@incollection{PonSch12, author = {Pontow, C. and Scherzer, O.}, title = {Analytical Evaluations of Double Integral Expressions Related to Total Variation}, address = {Wien}, booktitle = {Numerical and Symbolic Scientific Computing: Progress and Prospects}, doi = {10.1007/978-3-7091-0794-2}, editor = {Langer, U. and Paule, P.}, isbn = {978-3-7091-0793-5}, pages = {193--218}, publisher = {Springer}, series = {Texts and Monographs in Symbolic Computation}, url = {http://dx.doi.org/10.1007/978-3-7091-0794-2}, volume = {1}, year = {2012}, }

@incollection{SchKir12, author = {Scherzer, O. and Kirisits, C.}, title = {Convex Variational Regularization Methods for Inverse Problems}, booktitle = {Frontiers in Nonparametric Statistics}, doi = {10.4171/owr/2012/14}, editor = {B{\"u}hlmann, P. and Cai, T. and Munk, A. and Yu, B.}, location = {Oberwolfach, Germany}, pages = {43--45}, publisher = {EMS Publishing House}, series = {Oberwolfach reports}, url = {http://dx.doi.org/10.4171/OWR/2012/14}, volume = {14}, year = {2012}, }

@article{ThoSch12, author = {Thorstensen, N. and Scherzer, O.}, title = {Convergence of variational regularization methods for imaging on {R}iemannian manifolds}, doi = {10.1088/0266-5611/28/1/015007}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {1}, pages = {015007}, publisher = {IOP Publishing Ltd}, url = {http://dx.doi.org/10.1088/0266-5611/28/1/015007}, volume = {28}, year = {2012}, }

@article{WidSch12, author = {Widlak, T. and Scherzer, O.}, title = {Hybrid tomography for conductivity imaging}, doi = {10.1088/0266-5611/28/8/084008}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, month = jul, number = {8}, numpages = {28}, pages = {084008}, publisher = {IOP Publishing Ltd}, url = {http://dx.doi.org/10.1088/0266-5611/28/8/084008}, volume = {28}, year = {2012}, }

@incollection{BouElbPonSch11, author = {Boulanger, J. and Elbau, P. and Pontow, C. and Scherzer, O.}, title = {Non-Local Functionals for Imaging}, address = {New York}, booktitle = {Fixed-Point Algorithms for Inverse Problems in Science and Engineering}, doi = {10.1007/978-1-4419-9569-8}, edition = {1st}, editor = {Bauschke, H.~H. and Burachik, R.~S. and Combettes, P.~L. and Elser, V. and Luke, D.~R. and Wolkowicz, H.}, isbn = {978-1-4419-9568-1}, numpages = {xii+404}, pages = {131--154}, publisher = {Springer}, series = {Springer Optimization and Its Applications}, url = {http://dx.doi.org/10.1007/978-1-4419-9569-8}, volume = {49}, year = {2011}, }

@inproceedings{FruPonSch11, author = {Fr{\"u}hauf, F. and Pontow, C. and Scherzer, O.}, title = {Texture Enhancing Based on Variational Image Decomposition}, address = {Berlin Heidelberg}, booktitle = {Mathematical Image Processing}, doi = {10.1007/978-3-642-19604-1}, editor = {Bergounioux, M.}, isbn = {978-3-642-19603-4}, location = {University of Orl{\'e}ans, France}, numpages = {x+197}, pages = {127--140}, publisher = {Springer}, series = {Springer Proceedings in Mathematics}, url = {http://dx.doi.org/10.1007/978-3-642-19604-1}, volume = {5}, year = {2011}, }

@incollection{FucSch11, author = {Fuchs, M. and Scherzer, O.}, title = {Regularized Reconstruction of {M}-{R}ep Shapes with Statistical A Priori Knowledge}, booktitle = {Trends in Mathematical Imaging and Surface Processing}, doi = {10.4171/owr/2011/07}, editor = {Caselles, V. and Rumpf, M. and Sapiro, G. and Schr{\"o}der, P.}, location = {Oberwolfach, Germany}, pages = {11--12}, publisher = {EMS Publishing House}, series = {Oberwolfach reports}, url = {http://dx.doi.org/10.4171/OWR/2011/07}, volume = {08}, year = {2011}, }

@article{GraHalSch11, author = {Grasmair, M. and Haltmeier, M. and Scherzer, O.}, title = {Necessary and sufficient conditions for linear convergence of $l^1$-regularization}, doi = {10.1002/cpa.20350}, issn = {1097-0312}, journal = {Comm. Pure Appl. Math.}, fjournal = {Communications on Pure and Applied Mathematics}, number = {2}, pages = {161--182}, publisher = {Wiley Subscription Services, Inc., A Wiley Company}, url = {http://dx.doi.org/10.1002/cpa.20350}, volume = {64}, year = {2011}, }

@article{GraHalSch11b, author = {Grasmair, M. and Haltmeier, M. and Scherzer, O.}, title = {The residual method for regularizing ill-posed problems}, doi = {10.1016/j.amc.2011.08.009}, issn = {0096-3003}, journal = {Appl. Math. Comput.}, fjournal = {Applied Mathematics {\&} Computation}, number = {6}, pages = {2693--2710}, publisher = {Elsevier}, url = {http://www.sciencedirect.com/science/article/pii/S0096300311010356}, volume = {218}, year = {2011}, }

@article{KowSchBon11, author = {Kowar, R. and Scherzer, O. and Bonnefond, X.}, title = {Causality analysis of frequency-dependent wave attenuation}, doi = {10.1002/mma.1344}, issn = {1099-1476 (online)}, issue = {1}, journal = {Math. Methods Appl. Sci.}, fjournal = {Mathematical Methods in the Applied Sciences}, pages = {108--124}, publisher = {John Wiley \& Sons, Ltd.}, url = {http://dx.doi.org/10.1002/mma.1344}, volume = {34}, year = {2011}, }

@article{LenSch11, author = {Lenzen, F. and Scherzer, O.}, title = {Partial Differential Equations for Zooming, Deinterlacing and Dejittering}, doi = {10.1007/s11263-010-0326-x}, issn = {0920-5691}, journal = {Int. J. Comput. Vision}, fjournal = {International Journal of Computer Vision}, month = apr, number = {2}, pages = {162--176}, publisher = {Springer Netherlands}, url = {http://dx.doi.org/10.1007/s11263-010-0326-x}, volume = {92}, year = {2011}, }

@incollection{PoeSch11, author = {P{\"o}schl, C. and Scherzer, O.}, title = {Distance Measures and Applications to Multi-Modal Variational Imaging}, address = {New York}, booktitle = {Handbook of Mathematical Methods in Imaging}, doi = {10.1007/978-0-387-92920-0_4}, editor = {Scherzer, O.}, isbn = {978-0-387-92920-0}, pages = {111--138}, publisher = {Springer}, year = {2011}, }

@article{SchZanHolMeyHan11, author = {Schulze, R. and Zangerl, G. and Holotta, M. and Meyer, D. and Handle, F. and Nuster, R. and Paltauf, G. and Scherzer, O.}, title = {On the use of frequency-domain reconstruction algorithms for photoacoustic imaging}, doi = {10.1117/1.3605696}, issn = {1083-3668}, journal = {J. Biomed. Opt.}, fjournal = {Journal of Biomedical Optics}, number = {8}, pages = {086002}, publisher = {SPIE}, url = {http://dx.doi.org/10.1117/1.3605696}, volume = {16}, year = {2011}, }

@article{AbhSch10, author = {Abhau, J. and Scherzer, O.}, title = {A Combinatorial Method for Topology Adaptations in {3D} Deformable Models}, address = {Hingham, MA, USA}, doi = {10.1007/s11263-009-0282-5}, issn = {0920-5691}, journal = {Int. J. Comput. Vision}, fjournal = {International Journal of Computer Vision}, month = may, number = {3}, pages = {304--315}, publisher = {Kluwer Academic Publishers}, url = {http://dx.doi.org/10.1007/s11263-009-0282-5}, volume = {87}, year = {2010}, }

@article{ColFruFucSch10, author = {Colutto, S. and Fr{\"u}hauf, F. and Fuchs, M. and Scherzer, O.}, title = {The {CMA-ES} on Riemannian Manifolds to Reconstruct Shapes in {3-D} Voxel Images}, doi = {10.1109/tevc.2009.2029567}, issn = {1089-778X}, journal = {{IEEE} Trans. Evol. Comp.}, fjournal = {{IEEE} Transactions on Evolutionary Computation}, number = {2}, pages = {227--245}, publisher = {IEEE}, url = {http://dx.doi.org/10.1109/TEVC.2009.2029567}, volume = {14}, year = {2010}, }

@inproceedings{DecSchZub10, author = {De Cezaro, A. and Scherzer, O. and Zubelli, J.~P.}, title = {A Convex-Regularization Framework for Local-Volatility Calibration in Derivative Markets: The Connection with Convex Risk Measures and Exponential Families}, booktitle = {Proceedings of the 6th World Congress of the Bachelier Finance Society}, year = {2010}, }

@article{ElbGraLenSch10, author = {Elbau, P. and Grasmair, M. and Lenzen, F. and Scherzer, O.}, title = {Evolution by Non-Convex Functionals}, doi = {10.1080/01630563.2010.485853}, issn = {0163-0563}, journal = {Numer. Funct. Anal. Optim.}, fjournal = {Numerical Functional Analysis and Optimization}, month = jun, number = {4}, pages = {489--517}, publisher = {Taylor \& Francis Group, LLC}, url = {http://dx.doi.org/10.1080/01630563.2010.485853}, volume = {31}, year = {2010}, }

@article{FriSch10, author = {Frick, K. and Scherzer, O.}, title = {Regularization of ill-posed linear equations by the non-stationary augmented {L}agrangian method}, doi = {10.1216/jie-2010-22-2-217}, journal = {J. Integral Equations Appl.}, fjournal = {Journal of Integral Equations and Applications}, month = jun, number = {2}, pages = {217--257}, url = {http://projecteuclid.org/download/pdf\_1/euclid.jiea/1277125622}, volume = {22}, year = {2010}, }

@incollection{GraHalSch10, author = {Grasmair, M. and Haltmeier, M. and Scherzer, O.}, title = {Sparsity in Inverse Geophysical Problems}, booktitle = {Handbook of Geomathematics}, doi = {10.1007/978-3-642-01546-5}, editor = {Freeden, W. and Nashed, M.~Z. and Sonar, T.}, isbn = {978-3-642-01545-8}, pages = {763--784}, publisher = {Springer Berlin Heidelberg}, url = {http://dx.doi.org/10.1007/978-3-642-01546-5}, year = {2010}, }

@incollection{KowSch10, author = {Kowar, R. and Scherzer, O.}, title = {Photoacoustic Imaging taking into account Attenuation}, booktitle = {Mathematics and Algorithms in Tomography}, doi = {10.4171/owr/2010/18}, editor = {Burger, M. and Louis, A. and Quinto, T.}, location = {Oberwolfach, Germany}, numpages = {1017--1099}, pages = {54--56}, publisher = {EMS Publishing House}, series = {Oberwolfach reports}, url = {http://dx.doi.org/10.4171/OWR/2010/18}, volume = {7}, year = {2010}, }

@incollection{NusZanHalSchPal10, author = {Nuster, R. and Zangerl, G. and Haltmeier, M. and Scherzer, O. and Paltauf, G.}, title = {Using a Phase Contrast Imaging Method in Photoacoustic Tomography}, booktitle = {Photons Plus Ultrasound: Imaging and Sensing 2010}, doi = {10.1117/12.842348}, editor = {Oraevsky, A.~A. and Wang, L.~V.}, location = {San Francisco, California, USA}, numpages = {6}, pages = {75640Q}, publisher = {SPIE}, series = {Proceedings of SPIE}, url = {http://dx.doi.org/10.1117/12.842348}, volume = {7564}, year = {2010}, }

@article{PoeModSch10, author = {P{\"o}schl, C. and Modersitzki, J. and Scherzer, O.}, title = {A Variational Setting for Volume Constrained Image Registration}, doi = {10.3934/ipi.2010.4.505}, issn = {1930-8337}, journal = {Inverse Probl. Imaging}, fjournal = {Inverse Problems {\&} Imaging}, month = aug, number = {3}, pages = {505--522}, url = {http://dx.doi.org/10.3934/ipi.2010.4.505}, volume = {4}, year = {2010}, }

@article{PoeResSch10, author = {P{\"o}schl, C. and Resmerita, E. and Scherzer, O.}, title = {Discretization of variational regularization in {B}anach spaces}, doi = {10.1088/0266-5611/26/10/105017}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {10}, pages = {105017}, publisher = {IOP Publishing Ltd}, url = {http://dx.doi.org/10.1088/0266-5611/26/10/105017}, volume = {26}, year = {2010}, }

@article{ZanSch10, author = {Zangerl, G. and Scherzer, O.}, title = {Exact reconstruction in photoacoustic tomography with circular integrating detectors II: Spherical geometry}, doi = {10.1002/mma.1266}, issn = {1099-1476 (Online)}, journal = {Math. Methods Appl. Sci.}, fjournal = {Mathematical Methods in the Applied Sciences}, number = {15}, pages = {1771--1782}, publisher = {John Wiley \& Sons, Ltd.}, url = {http://dx.doi.org/10.1002/mma.1266}, volume = {33}, year = {2010}, }

@incollection{AbhBelSch09, author = {Abhau, J. and Belhachmi, Z. and Scherzer, O.}, title = {On a Decomposition Model for Optical Flow}, address = {Berlin, Heidelberg}, booktitle = {Energy Minimization Methods in Computer Vision and Pattern Recognition}, doi = {10.1007/978-3-642-03641-5_10}, isbn = {978-3-642-03640-8}, location = {Bonn, Germany}, pages = {126--139}, publisher = {Springer-Verlag}, series = {Lecture Notes in Computer Science}, url = {http://dx.doi.org/10.1007/978-3-642-03641-5_10}, volume = {5681}, year = {2009}, }

@article{FruHeiSchnFelSch09, author = {Fr{\"u}hauf, F. and Heilig, A. and Schneebeli, M. and Fellin, W. and Scherzer, O.}, title = {Experiments and Algorithms to Detect Snow Avalanche Victims Using Airborne Ground-Penetrating Radar}, doi = {10.1109/tgrs.2009.2012717}, issn = {0196-2892}, journal = {{IEEE} Trans. Geosci. Remote Sens.}, fjournal = {{IEEE} Transactions on Geoscience and Remote Sensing}, month = jul, number = {7}, pages = {2240 -2251}, url = {http://dx.doi.org/10.1109/TGRS.2009.2012717}, volume = {47}, year = {2009}, }

@article{FucJueSchYan09a, author = {Fuchs, M. and J{\"u}ttler, B. and Scherzer, O. and Yang, H.}, title = {Shape metrics based on elastic deformations}, doi = {10.1007/s10851-009-0156-z}, issn = {0924-9907}, journal = {J. Math. Imaging Vision}, fjournal = {Journal of Mathematical Imaging and Vision}, number = {1}, pages = {86--102}, url = {http://dx.doi.org/10.1007/s10851-009-0156-z}, volume = {35}, year = {2009}, }

@article{FucJueSchYan09b, author = {Fuchs, M. and J{\"u}ttler, B. and Scherzer, O. and Yang, H.}, title = {Combined evolution of level sets and {B}-spline curves for imaging}, doi = {10.1007/s00791-008-0110-4}, issn = {1432-9360}, journal = {Comput. Vis. Sci.}, fjournal = {Computing and Visualization in Science}, number = {6}, pages = {287--295}, url = {http://dx.doi.org/10.1007/s00791-008-0110-4}, volume = {12}, year = {2009}, }

@inproceedings{HalSchZan09a, author = {Haltmeier, M. and Scherzer, O. and Zangerl, G.}, title = {Influence of detector bandwidth and detector size to the resolution of photoacoustic tomagraphy}, booktitle = {Argesim Report no. 35: Proceedings Mathmod 09 Vienna}, editor = {Breitenecker, F. and Troch, I.}, pages = {1736--1744}, year = {2009}, }

@article{HalSchZan09b, author = {Haltmeier, M. and Scherzer, O. and Zangerl, G.}, title = {A Reconstruction Algorithm for Photoacoustic Imaging Based on the Nonuniform {FFT}}, doi = {10.1109/tmi.2009.2022623}, issn = {0278-0062}, journal = {{IEEE} Trans. Med. Imag.}, fjournal = {{IEEE} Transactions on Medical Imaging}, month = nov, number = {11}, pages = {1727--1735}, url = {http://dx.doi.org/10.1109/TMI.2009.2022623}, volume = {28}, year = {2009}, }

@inproceedings{HolEstTorVoeKre09, author = {Holotta, M. and Esterhammer, R. and Torbica, P. and V{\"o}lkl, J. and Kremser, C. and Jaschke, W. and Grossauer, H. and Haltmeier, M. and Scherzer, O. and Nuster, R. and Paltauf, G. and Burgholzer P.}, title = {Photoacoustic Tomography of Small Animals and Organs}, booktitle = {Computational Vision and Medical Image -- VipIMAGE 2009}, editor = {Tavares, J. M. R. S. and Jorge, N. R. M.}, isbn = {978-0-415-57041-1}, location = {Porto, Portugal}, pages = {25--29}, publisher = {CRC Press}, year = {2009}, }

@inproceedings{LenSch09, author = {Lenzen, F. and Scherzer, O.}, title = {A Geometric PDE for Interpolation of $M$-channel Data}, address = {Berlin, Heidelberg}, booktitle = {SSVM '09: Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision}, doi = {10.1007/978-3-642-02256-2_35}, isbn = {978-3-642-02255-5}, location = {Voss, Norway}, pages = {413--425}, publisher = {Springer-Verlag}, url = {http://dx.doi.org/10.1007/978-3-642-02256-2_35}, year = {2009}, }

@inproceedings{SchWal09, author = {Scherzer, O. and Walch, B.}, title = {Sparsity Regularization for Radon Measures}, address = {Berlin, Heidelberg}, booktitle = {SSVM '09: Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision}, doi = {10.1007/978-3-642-02256-2_38}, isbn = {978-3-642-02255-5}, location = {Voss, Norway}, pages = {452--463}, publisher = {Springer-Verlag}, url = {http://dx.doi.org/10.1007/978-3-642-02256-2_38}, year = {2009}, }

@article{ZanSchHal09, author = {Zangerl, G. and Scherzer, O. and Haltmeier, M.}, title = {Circular integrating detectors in photo and thermoacoustic tomography}, doi = {10.1080/17415970802166782}, issn = {1741-5977}, journal = {Inverse Probl. Sci. Eng.}, fjournal = {Inverse Problems in Science and Engineering}, number = {1}, pages = {133--142}, url = {http://dx.doi.org/10.1080/17415970802166782}, volume = {17}, year = {2009}, }

@article{ZanSchHal09b, author = {Zangerl, G. and Scherzer, O. and Haltmeier, M.}, title = {Exact series reconstruction in photoacoustic tomography with circular integrating detectors}, issn = {1539-6746}, journal = {Commun. Math. Sci.}, fjournal = {Communications in Mathematical Sciences}, number = {3}, pages = {665--678}, url = {http://projecteuclid.org/getRecord?id=euclid.cms/1256562818}, volume = {7}, year = {2009}, }

@inproceedings{AbhSch08, author = {Abhau, J. and Scherzer, O.}, title = {An efficient topology adaptation system for parametric active contour segmentation of {3D} images}, address = {Washington, USA}, booktitle = {Medical Imaging 2008: Image Processing}, doi = {10.1117/12.770523}, isbn = {978-0-8194-7098-0}, issn = {1605-7422}, location = {San Diego, CA, USA}, pages = {69143T}, publisher = {SPIE}, series = {Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE)}, url = {http://dx.doi.org/10.1117/12.770523}, volume = {6914}, year = {2008}, }

@article{DecHalLeiSch08, author = {De Cezaro, A. and Haltmeier, M. and Leit{\~a}o, A. and Scherzer, O.}, title = {On steepest-descent-{K}aczmarz methods for regularizing systems of nonlinear ill-posed equations}, doi = {10.1016/j.amc.2008.03.010}, issn = {0096-3003}, journal = {Appl. Math. Comput.}, fjournal = {Applied Mathematics {\&} Computation}, number = {2}, pages = {596--607}, url = {http://dx.doi.org/10.1016/j.amc.2008.03.010}, volume = {202}, year = {2008}, }

@article{FeiFucJueSchYan08, author = {Feichtinger, R. and Fuchs, M. and J{\"u}ttler, B. and Scherzer, O. and Yang, H.}, title = {Dual evolution of planar parametric spline curves and {T}-spline level sets}, doi = {10.1016/j.cad.2007.08.003}, issn = {0010-4485}, journal = {Comput. Aided Design}, fjournal = {Computer Aided Design}, number = {1}, pages = {13--24}, url = {http://dx.doi.org/10.1016/j.cad.2007.08.003}, volume = {40}, year = {2008}, }

@article{FidGraSch08, author = {Fidler, T. and Grasmair, M. and Scherzer, O.}, title = {Identifiability and reconstruction of shapes from integral invariants}, issn = {1930-8337}, journal = {Inverse Probl. Imaging}, fjournal = {Inverse Problems {\&} Imaging}, number = {3}, pages = {341--354}, volume = {2}, year = {2008}, }

@article{FucSch08, author = {Fuchs, M. and Scherzer, O.}, title = {Regularized Reconstruction of Shapes with Statistical a priori Knowledge}, doi = {10.1007/s11263-007-0103-7}, issn = {0920-5691}, journal = {Int. J. Comput. Vision}, fjournal = {International Journal of Computer Vision}, number = {2}, pages = {119--135}, publisher = {Springer Netherlands}, url = {http://dx.doi.org/10.1007/s11263-007-0103-7}, volume = {79}, year = {2008}, }

@article{GebSch08, author = {Gebauer, B. and Scherzer, O.}, title = {Impedance-acoustic tomography}, doi = {10.1137/080715123}, issn = {0036-1399}, journal = {{SIAM} J. Appl. Math.}, fjournal = {{SIAM} Journal on Applied Mathematics}, number = {2}, pages = {565--576}, url = {http://dx.doi.org/10.1137/080715123}, volume = {69}, year = {2008}, }

@article{GraHalSch08, author = {Grasmair, M. and Haltmeier, M. and Scherzer, O.}, title = {Sparse regularization with {$l^q$} penalty term}, doi = {10.1088/0266-5611/24/5/055020}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {5}, pages = {055020, 13}, url = {http://dx.doi.org/10.1088/0266-5611/24/5/055020}, volume = {24}, year = {2008}, }

@incollection{PoeSch08, author = {P{\"o}schl, C. and Scherzer, O.}, title = {Characterization of minimizers of convex regularization functionals}, address = {Providence, RI}, booktitle = {Frames and operator theory in analysis and signal processing}, pages = {219--248}, publisher = {Amer. Math. Soc.}, series = {Contemp. Math.}, volume = {451}, year = {2008}, }

@conference{AbhHinSch07, author = {Abhau, J. and Hinterberger, W. and Scherzer, O.}, title = {Segmenting surfaces of arbitrary topology: a two-step approach}, booktitle = {Medical Imaging 2007: Ultrasonic Imaging and Signal Processing}, doi = {10.1117/12.709375}, editor = {Emelianov, S.~Y. and McAleavey, S.~A.}, eid = {651314}, location = {San Diego, CA, USA}, numpages = {9}, pages = {651314}, publisher = {SPIE}, series = {Proceedings of SPIE}, url = {http://dx.doi.org/10.1117/12.709375}, volume = {6513}, year = {2007}, }

@article{BurFriOshSch07, author = {Burger, M. and Frick, K. and Osher, S. and Scherzer, O.}, title = {Inverse total variation flow}, doi = {10.1137/060660564}, issn = {1540-3459}, journal = {Multiscale Model. Simul.}, fjournal = {Multiscale Modeling {\&} Simulation}, number = {2}, pages = {365--395 (electronic)}, url = {http://dx.doi.org/10.1137/060660564}, volume = {6}, year = {2007}, }

@inproceedings{FriSch07, author = {Frick, K. and Scherzer, O.}, title = {Convex inverse scale spaces}, address = {Berlin, Heidelberg}, booktitle = {{SSVM'07}: Proceedings of the 1st International Conference on Scale Space and Variational Methods in Computer Vision}, doi = {10.1007/978-3-540-72823-8_27}, isbn = {978-3-540-72822-1}, location = {Ischia, Italy}, numpages = {13}, pages = {313--325}, publisher = {Springer-Verlag}, series = {Lecture Notes in Computer Science}, url = {http://dx.doi.org/10.1007/978-3-540-72823-8_27}, volume = {4485}, year = {2007}, }

@incollection{FriSch07a, author = {Frick, K. and Scherzer, O.}, title = {Application of non-convex {BV} regularization for image segmentation}, address = {Berlin}, booktitle = {Image processing based on partial differential equations}, doi = {10.1007/978-3-540-33267-1_12}, pages = {211--228}, publisher = {Springer}, series = {Math. Vis.}, url = {http://dx.doi.org/10.1007/978-3-540-33267-1_12}, year = {2007}, }

@article{FruGebSch07, author = {Fr{\"u}hauf, F. and Gebauer, B. and Scherzer, O.}, title = {Detecting interfaces in a parabolic-elliptic problem from surface measurements}, doi = {10.1137/050641545}, issn = {0036-1429}, journal = {{SIAM} J. Numer. Anal.}, fjournal = {{SIAM} Journal on Numerical Analysis}, number = {2}, pages = {810--836 (electronic)}, url = {http://dx.doi.org/10.1137/050641545}, volume = {45}, year = {2007}, }

@incollection{FucSch07, author = {Fuchs, M. and Scherzer, O.}, title = {Segmentation of Biologic Image Data with A-Priori Knowledge}, address = {Barcelona, Spain}, booktitle = {Evolutionary and Deterministic Methods for Design, Optimization and Control with Applications to Industrial and Societal Problems}, editor = {Neittaanm{\"a}ki, P. and P{\'e}riaux, J. and Tuovinen, T.}, isbn = {978-951-39-2863-6}, location = {Jyv{\"a}skyl{\"a}, Finland}, numpages = {6}, publisher = {CIMNE}, series = {Proceedings of EUROGEN 2007}, year = {2007}, }

@article{HalKowLeiSch07, author = {Haltmeier, M. and Kowar, R. and Leit{\~a}o, A. and Scherzer, O.}, title = {Kaczmarz methods for regularizing nonlinear ill-posed equations. {II}. {A}pplications}, issn = {1930-8337}, journal = {Inverse Probl. Imaging}, fjournal = {Inverse Problems {\&} Imaging}, number = {3}, pages = {507--523}, volume = {1}, year = {2007}, }

@article{HalLeiSch07, author = {Haltmeier, M. and Leit{\~a}o, A. and Scherzer, O.}, title = {Kaczmarz methods for regularizing nonlinear ill-posed equations. {I}. {C}onvergence analysis}, doi = {10.3934/ipi.2007.1.289}, issn = {1930-8337}, journal = {Inverse Probl. Imaging}, fjournal = {Inverse Problems {\&} Imaging}, number = {2}, pages = {289--298}, volume = {1}, year = {2007}, }

@article{HalSchBurNusPal07, author = {Haltmeier, M. and Scherzer, O. and Burgholzer, P. and Nuster, R. and Paltauf, G.}, title = {Thermo\-acoustic tomography and the circular {R}adon transform: exact inversion formula}, doi = {10.1142/s0218202507002054}, issn = {0218-2025}, journal = {Math. Models Methods Appl. Sci.}, fjournal = {Mathematical Models and Methods in Applied Sciences}, number = {4}, pages = {635--655}, url = {http://dx.doi.org/10.1142/S0218202507002054}, volume = {17}, year = {2007}, }

@article{HofKalPoeSch07, author = {Hofmann, B. and Kaltenbacher, B. and P{\"o}schl, C. and Scherzer, O.}, title = {A convergence rates result for {T}ikhonov regularization in {B}anach spaces with non-smooth operators}, doi = {10.1088/0266-5611/23/3/009}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {3}, pages = {987--1010}, url = {http://dx.doi.org/10.1088/0266-5611/23/3/009}, volume = {23}, year = {2007}, }

@article{JuePotSch07, author = {J{\"u}ttler, B. and Pottmann, H. and Scherzer, O.}, title = {Variational and {PDE} level set methods [{S}pecial issue on industrial geometry]}, doi = {10.1007/s00607-007-0244-0}, issn = {0010-485X}, journal = {Computing}, fjournal = {Computing. Archives for Scientific Computing}, number = {2-3}, pages = {107--108}, url = {http://dx.doi.org/10.1007/s00607-007-0244-0}, volume = {81}, year = {2007}, }

@article{MoyFriSchTsa07, author = {Moyers-Gonz{\'a}lez, M.~A. and Frigaard, I.~A. and Scherzer, O. and Tsai, T.-P.}, title = {Transient effects in oilfield cementing flows: qualitative behaviour}, doi = {10.1017/s0956792507007048}, issn = {0956-7925}, journal = {European J. Appl. Math.}, fjournal = {European Journal of Applied Mathematics}, number = {4}, pages = {477--512}, url = {http://dx.doi.org/10.1017/S0956792507007048}, volume = {18}, year = {2007}, }

@article{ObeSchKov07, author = {Obereder, A. and Scherzer, O. and Kovac, A.}, title = {Bivariate density estimation using {BV} regularisation}, doi = {10.1016/j.csda.2007.04.019}, issn = {0167-9473}, journal = {Comput. Statist. Data Anal.}, fjournal = {Computational Statistics \& Data Analysis}, number = {12}, pages = {5622--5634}, url = {http://dx.doi.org/10.1016/j.csda.2007.04.019}, volume = {51}, year = {2007}, }

@article{PatSch07, author = {Patch, S.~K. and Scherzer, O.}, title = {Special section on photo- and thermo-acoustic imaging}, doi = {10.1088/0266-5611/23/6/s01}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {6}, pages = {S1--S10}, url = {http://dx.doi.org/10.1088/0266-5611/23/6/S01}, volume = {23}, year = {2007}, }

@conference{ZanSchHal07, author = {Zangerl, G. and Haltmeier, M. and Scherzer, O.}, title = {Cylindrical coordinates in Thermoacoustic Tomography}, booktitle = {IPDO Symposium on inverse problems, design and optimization, Miami, Florida}, eprint = {http://www.ipdos.org/ipdo2007/papers}, year = {2007}, }

@incollection{BurHofPalMatHal06, author = {Burgholzer, P. and Hofer, C. and Matt, G.~J. and Paltauf, G. and Haltmeier, M. and Scherzer, O.}, title = {Thermoacoustic tomography using fiber based Fabry-Perot interferometer as an integrating line detector}, booktitle = {Photons Plus Ultrasound: Imaging and Sensing 2006: The Seventh Conference on Biomedical Thermoacoustics, Optoacoustics, and Acousto-optics}, doi = {10.1117/12.644047}, editor = {Oraevsky, A.~A. and Wang, L.~V.}, location = {San Jose, CA, USA}, numpages = {9}, pages = {60861N}, publisher = {SPIE}, series = {Proceedings of SPIE}, url = {http://dx.doi.org/10.1117/12.644047}, volume = {6086}, year = {2006}, }

@article{FriSch06, author = {Frigaard, I.~A. and Scherzer, O.}, title = {Herschel-{B}ulkley diffusion filtering: non-{N}ewtonian fluid mechanics in image processing}, doi = {10.1002/zamm.200510256}, issn = {0044-2267}, journal = {ZAMM Z. Angew. Math. Mech.}, fjournal = {Zeitschrift f {\"u}r Angewandte Mathematik und Mechanik. Journal of Applied Mathematics and Mechanics}, number = {6}, pages = {474--494}, url = {http://dx.doi.org/10.1002/zamm.200510256}, volume = {86}, year = {2006}, }

@incollection{HalKowSch06, author = {Haltmeier, M. and Kowar, R. and Scherzer, O.}, title = {Computer aided location of avalanche victims with ground penetrating radar mounted on a helicopter}, booktitle = {Digital Imaging and Pattern Recognition: 30th Workshop of the Austrian Association for Pattern Recognition {(OAGM/AAPR)}}, editor = {Lenzen, F. and Scherzer, O. and Vincze, M.}, isbn = {3-85403-209-9}, location = {Obergurgl, Austria}, numpages = {10}, pages = {19--28}, publisher = {Oesterreichische Computer Gesellschaft}, series = {Proceedings of OCG}, volume = {209}, year = {2006}, }

@article{HinSch06, author = {Hinterberger, W. and Scherzer, O.}, title = {Variational methods on the space of functions of bounded {H}essian for convexification and denoising}, doi = {10.1007/s00607-005-0119-1}, issn = {0010-485X}, journal = {Computing}, fjournal = {Computing. Archives for Scientific Computing}, number = {1-2}, pages = {109--133}, url = {http://dx.doi.org/10.1007/s00607-005-0119-1}, volume = {76}, year = {2006}, }

@incollection{LeiLenSch06, author = {Leimgruber, S. and Lenzen, F. and Scherzer, O.}, title = {Automatic Detection and Counting of Small Airborne Dust Particles}, booktitle = {Digital Imaging and Pattern Recognition: 30th Workshop of the Austrian Association for Pattern Recognition {(OAGM/AAPR)}}, editor = {Lenzen, F. and Scherzer, O. and Vincze, M.}, isbn = {3-85403-209-9}, location = {Obergurgl, Austria}, numpages = {8}, pages = {29--36}, publisher = {Oesterreichische Computer Gesellschaft}, series = {Proceedings of OCG}, volume = {209}, year = {2006}, }

@incollection{ObeOshSch06, author = {Obereder, A. and Osher, S. and Scherzer, O.}, title = {On the use of Dual Norms in Bounded Variation Type Regularization}, address = {Dordrecht, The Netherlands}, booktitle = {Geometric Properties for Incomplete Data}, doi = {10.1007/1-4020-3858-8_20}, editor = {Klette, R. and Kozera, R. and Noakes, L. and Weickert, J.}, isbn = {978-1-4020-3858-7}, pages = {373--390}, publisher = {Springer}, series = {Computational Imaging and Vision}, url = {http://dx.doi.org/10.1007/1-4020-3858-8_20}, volume = {31}, year = {2006}, }

@article{ResSch06, author = {Resmerita, E. and Scherzer, O.}, title = {Error estimates for non-quadratic regularization and the relation to enhancement}, doi = {10.1088/0266-5611/22/3/004}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {3}, pages = {801--814}, url = {http://dx.doi.org/10.1088/0266-5611/22/3/004}, volume = {22}, year = {2006}, }

@inproceedings{YanFucJueSch06, author = {Yang, H. and Fuchs, M. and J{\"u}ttler, B. and Scherzer, O.}, title = {Evolution of {T}-spline Level Sets with Distance Field Constraints for Geometry Reconstruction and Image Segmentation}, address = {Los Alamitos, CA, USA}, booktitle = {Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006 (SMI06)}, doi = {10.1109/smi.2006.12}, isbn = {0-7695-2591-1}, location = {Matsushima, Japan}, numpages = {6}, pages = {37}, publisher = {IEEE Computer Society}, url = {http://dx.doi.org/10.1109/SMI.2006.12}, year = {2006}, }

@article{BorGroSch05, author = {Borzi, A. and Grossauer, H. and Scherzer, O.}, title = {Analysis of Iterative Methods for Solving a {G}inzburg-{L}andau Equation}, address = {Hingham, MA, USA}, doi = {10.1007/s11263-005-1844-9}, issn = {0920-5691}, journal = {Int. J. Comput. Vision}, fjournal = {International Journal of Computer Vision}, number = {2-3}, pages = {203--219}, publisher = {Kluwer Academic Publishers}, url = {http://dx.doi.org/10.1007/s11263-005-1844-9}, volume = {64}, year = {2005}, }

@article{BurHofPalHalSch05, author = {Burgholzer, P. and Hofer, C. and Paltauf, G. and Haltmeier, M. and Scherzer, O.}, title = {Thermo\-acoustic tomography with integrating area and line detectors}, doi = {10.1109/tuffc.2005.1516030}, issn = {0885-3010}, journal = {{IEEE} Trans. Ultrason., Ferroeletr., Freq. Control}, fjournal = {{IEEE} Transactions on Ultrasonics, Ferroelectrics, and Frequency Control}, month = sep, number = {9}, pages = {1577--1583}, url = {http://dx.doi.org/10.1109/TUFFC.2005.1516030}, volume = {52}, year = {2005}, }

@incollection{BurHofPalHalSch05a, author = {Burgholzer, P. and Hofer, C. and Paltauf, G. and Haltmeier, M. and Scherzer, O.}, title = {Thermoacoustic Tomography Using Integrating Detectors}, booktitle = {Novel Optical Instrumentation for Biomedical Applications II}, editor = {Depeursinge, C.~D.}, location = {Munich, Germany}, pages = {SuD3}, publisher = {SPIE and OSA}, series = {Proceedings of SPIE-OSA}, url = {http://www.opticsinfobase.org/abstract.cfm?URI=ECBO-2005-SuD3}, volume = {5864}, year = {2005}, }

@incollection{BurHofPalNusHal05, author = {Burgholzer, P. and Hofer, C. and Nuster, R. and Paltauf, G. and Haltmeier, M. and Scherzer, O.}, title = {Thermoacoustic tomography using integrating line detectors}, booktitle = {Ultrasonics Symposium, 2005 IEEE}, doi = {10.1109/ultsym.2005.1602822}, isbn = {0-7803-9382-1}, location = {Rotterdam, The Netherlands}, pages = {166--169}, publisher = {IEEE}, url = {http://dx.doi.org/10.1109/ULTSYM.2005.1602822}, volume = {1}, year = {2005}, }

@article{FruSchLei05, author = {Fr{\"u}hauf, F. and Scherzer, O. and Leit{\~a}o, A.}, title = {Analysis of regularization methods for the solution of ill-posed problems involving discontinuous operators}, doi = {10.1137/s0036142903430906}, issn = {0036-1429}, journal = {{SIAM} J. Numer. Anal.}, fjournal = {{SIAM} Journal on Numerical Analysis}, number = {2}, pages = {767--786 (electronic)}, url = {http://dx.doi.org/10.1137/S0036142903430906}, volume = {43}, year = {2005}, }

@incollection{GraLenObeSchFuc05, author = {Grasmair, M. and Lenzen, F. and Obereder, A. and Scherzer, O. and Fuchs, M.}, title = {A Non-convex {PDE} Scale Space}, address = {Berlin / Heidelberg}, booktitle = {Scale Space and PDE Methods in Computer Vision}, doi = {10.1007/11408031_26}, editor = {Kimmel, R. and Sochen, N. and Weickert, J.}, isbn = {978-3-540-25547-5}, location = {Hofgeismar, Germany}, pages = {303--315}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, url = {http://dx.doi.org/10.1007/11408031_26}, volume = {3459}, year = {2005}, }

@article{GraSch05, author = {Grasmair, M. and Scherzer, O.}, title = {Relaxation of nonlocal singular integrals}, doi = {10.1080/01630560500323067}, issn = {0163-0563}, journal = {Numer. Funct. Anal. Optim.}, fjournal = {Numerical Functional Analysis and Optimization}, number = {4-5}, pages = {481--506}, url = {http://dx.doi.org/10.1080/01630560500323067}, volume = {26}, year = {2005}, }

@article{HalSchuSch05, author = {Haltmeier, M. and Schuster, T. and Scherzer, O.}, title = {Filtered backprojection for thermoacoustic computed tomography in spherical geometry}, doi = {10.1002/mma.648}, issn = {0170-4214}, journal = {Math. Methods Appl. Sci.}, fjournal = {Mathematical Methods in the Applied Sciences}, number = {16}, pages = {1919--1937}, url = {http://dx.doi.org/10.1002/mma.648}, volume = {28}, year = {2005}, }

@article{LenSchSchi05, author = {Lenzen, F. and Scherzer, O. and Schindler, S.}, title = {Robust Reconstruction from Chopped and Nodded Images}, doi = {10.1051/0004-6361:20053398}, issn = {0004-6361}, journal = {Astronom. and Astrophys.}, fjournal = {Astronomy {\&} Astrophysics}, number = {3}, pages = {1087--1093}, publisher = {EDP Sciences}, url = {http://dx.doi.org/10.1051/0004-6361:20053398}, volume = {443}, year = {2005}, }

@inproceedings{PalBurHalSch05, author = {Paltauf, G. and Burgholzer, P. and Haltmeier, M. and Scherzer, O.}, title = {Thermo\-acoustic tomography using optical line detection}, booktitle = {Novel Optical Instrumentation for Biomedical Applications II}, doi = {10.1117/12.632907}, editor = {Depeursinge, C. D.}, eid = {586402}, location = {Munich, Germany}, numpages = {8}, pages = {586402}, publisher = {SPIE}, series = {Proceedings of SPIE}, url = {http://dx.doi.org/10.1117/12.632907}, volume = {5864}, year = {2005}, }

@article{RegSch05, author = {Regensburger, G. and Scherzer, O.}, title = {Symbolic computation for moments and filter coefficients of scaling functions}, doi = {10.1007/s00026-005-0253-7}, issn = {0218-0006}, journal = {Ann. Comb.}, fjournal = {Annals of Combinatorics}, number = {2}, pages = {223--243}, url = {http://dx.doi.org/10.1007/s00026-005-0253-7}, volume = {9}, year = {2005}, }

@article{Sch05, author = {Scherzer, O.}, title = {Taut-string algorithm and regularization programs with {$G$}-norm data fit}, doi = {10.1007/s10851-005-6462-1}, issn = {0924-9907}, journal = {J. Math. Imaging Vision}, fjournal = {Journal of Mathematical Imaging and Vision}, number = {2}, pages = {135--143}, url = {http://dx.doi.org/10.1007/s10851-005-6462-1}, volume = {23}, year = {2005}, }

@article{SchYinOsh05, author = {Scherzer, O. and Yin, W. and Osher, S.}, title = {Slope and {$G$}-set characterization of set-valued functions and applications to non-differentiable optimization problems}, issn = {1539-6746}, journal = {Commun. Math. Sci.}, fjournal = {Communications in Mathematical Sciences}, number = {4}, pages = {479--492}, url = {http://projecteuclid.org/getRecord?id=euclid.cms/1144429327}, volume = {3}, year = {2005}, }

@article{HalSchBurPal04, author = {Haltmeier, M. and Scherzer, O. and Burgholzer, P. and Paltauf, G.}, title = {Thermoacoustic computed tomography with large planar receivers}, doi = {10.1088/0266-5611/20/5/021}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {5}, pages = {1663--1673}, url = {http://dx.doi.org/10.1088/0266-5611/20/5/021}, volume = {20}, year = {2004}, }

@incollection{LenSch04, author = {Lenzen, F. and Scherzer, O.}, title = {{T}ikhonov type regularization methods: history and recent progress}, booktitle = {Proceedings of ECCOMAS 2004}, editor = {Neittaanm{\"a}ki, P. and Rossi, T. and Majava, K. and Pironneau, O.}, location = {Jyv{\"a}skyl{\"a}, Finland}, publisher = {University of Jyv{\"a}skyl{\"a}}, year = {2004}, }

@article{LenSchiSch04, author = {Lenzen, F. and Schindler, S. and Scherzer, O.}, title = {Automatic Detection of Arclets formed by Gravitational Lensing}, doi = {10.1051/0004-6361:20034619}, issn = {0004-6361}, journal = {Astronom. and Astrophys.}, fjournal = {Astronomy {\&} Astrophysics}, number = {1}, pages = {391--401}, publisher = {EDP Sciences}, url = {http://dx.doi.org/10.1051/0004-6361:20034619}, volume = {416}, year = {2004}, }

@article{OshSch04, author = {Osher, S. and Scherzer, O.}, title = {{$G$}-norm properties of bounded variation regularization}, issn = {1539-6746}, journal = {Commun. Math. Sci.}, fjournal = {Communications in Mathematical Sciences}, number = {2}, pages = {237--254}, url = {http://projecteuclid.org/getRecord?id=euclid.cms/1109706537}, volume = {2}, year = {2004}, }

@article{FriLeiSch03, author = {Frigaard, I.~A. and Leimgruber, S. and Scherzer, O.}, title = {Variational methods and maximal residual wall layers}, doi = {10.1017/s0022112003004105}, issn = {0022-1120}, journal = {J. Fluid Mech.}, fjournal = {Journal of Fluid Mechanics}, pages = {37--65}, url = {http://dx.doi.org/10.1017/S0022112003004105}, volume = {483}, year = {2003}, }

@article{FriNgwSch03, author = {Frigaard, I.~A. and Ngwa, G. and Scherzer, O.}, title = {On effective stopping time selection for visco-plastic nonlinear {BV} diffusion filters used in image denoising}, doi = {10.1137/s0036139902400465}, issn = {0036-1399}, journal = {{SIAM} J. Appl. Math.}, fjournal = {{SIAM} Journal on Applied Mathematics}, number = {6}, pages = {1911--1934 (electronic)}, url = {http://dx.doi.org/10.1137/S0036139902400465}, volume = {63}, year = {2003}, }

@inproceedings{GroSch03, author = {Grossauer, H. and Scherzer, O.}, title = {Using the complex {G}inzburg--{L}andau equation for digital inpainting in {2D} and {3D}}, booktitle = {Scale Space Methods in Computer Vision, 4th International Conference, Scale-Space 2003}, editor = {Griffin, L. D. and Lillholm, M.}, isbn = {3-540-40368-X}, number = {2695}, pages = {225--236}, series = {Lecture Notes in Computer Science}, year = {2003}, }

@article{HinHinKunOehSch03, author = {Hinterberger, W. and Hinterm{\"u}ller, M. and Kunisch, K. and von Oehsen, M. and Scherzer, O.}, title = {Tube methods for {BV} regularization}, doi = {10.1023/a:1026276804745}, issn = {0924-9907}, journal = {J. Math. Imaging Vision}, fjournal = {Journal of Mathematical Imaging and Vision}, number = {3}, pages = {219--235}, url = {http://dx.doi.org/10.1023/A:1026276804745}, volume = {19}, year = {2003}, }

@article{KabSchShi03, author = {Kabanikhin, S.~I. and Scherzer, O. and Shishlenin, M.~A.}, title = {Iteration methods for solving a two dimensional inverse problem for a hyperbolic equation}, doi = {10.1163/156939403322004955}, issn = {0928-0219}, journal = {J. Inverse Ill-Posed Probl.}, fjournal = {Journal of Inverse and Ill-Posed Problems}, number = {1}, pages = {87--109}, url = {http://dx.doi.org/10.1163/156939403322004955}, volume = {11}, year = {2003}, }

@article{LeiSch03, author = {Leit{\~a}o, A. and Scherzer, O.}, title = {On the relation between constraint regularization, level sets, and shape optimization}, doi = {10.1088/0266-5611/19/1/101}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {1}, pages = {L1--L11}, url = {http://dx.doi.org/10.1088/0266-5611/19/1/101}, volume = {19}, year = {2003}, }

@incollection{PauSchScho03, author = {Paule, P. and Scherzer, O. and Schoisswohl, A.}, title = {Wavelets with scale dependent properties}, address = {Berlin}, booktitle = {Symbolic and numerical scientific computation ({H}agenberg, 2001)}, doi = {10.1007/3-540-45084-x_12}, pages = {255--265}, publisher = {Springer}, series = {Lecture Notes in Comput. Sci.}, url = {http://dx.doi.org/10.1007/3-540-45084-X_12}, volume = {2630}, year = {2003}, }

@article{Sch03, author = {Scherzer, O.}, title = {Scale space methods for denoising and inverse problem}, doi = {10.1016/s1076-5670(03)80067-8}, issn = {1076-5670}, journal = {Adv. Imaging Electron Phys.}, fjournal = {Advances in Imaging and Electron Physics}, pages = {445--530}, publisher = {Elsevier}, url = {http://dx.doi.org/10.1016/S1076-5670(03)80067-8}, volume = {128}, year = {2003}, }

@incollection{GroSch02, author = {Groetsch, C.~W. and Scherzer, O.}, title = {Iterative stabilization and edge detection}, address = {Providence, Rhode Island}, booktitle = {Inverse problems, image analysis, and medical imaging}, editor = {Nashed, M.~Z. and Scherzer, O.}, isbn = {978-0-8218-2979-0}, location = {New Orleans, Louisiana}, pages = {129--141}, publisher = {American Mathematical Society}, series = {Contemporary Mathematics}, volume = {313}, year = {2002}, }

@article{HinSchSchnWei02, author = {Hinterberger, W. and Scherzer, O. and Schn{\"o}rr, C. and Weickert, J.}, title = {Analysis of Optical Flow Models in the Framework of Calculus of Variations}, doi = {10.1081/nfa-120004011}, issn = {0163-0563}, journal = {Numer. Funct. Anal. Optim.}, fjournal = {Numerical Functional Analysis and Optimization}, number = {1-2}, pages = {69--89}, url = {http://dx.doi.org/10.1081/NFA-120004011}, volume = {23}, year = {2002}, }

@incollection{KowSch02, author = {Kowar, R. and Scherzer, O.}, title = {Convergence analysis of a {L}andweber-{K}aczmarz method for solving nonlinear ill-posed problems}, address = {Zeist, Netherlands}, booktitle = {Ill-posed and Inverse Problems}, editor = {Romanov, V.~G. and Kabanikhin, S.~I. and Anikonov, Yu.~E. and Bukhgeim, A.~L.}, isbn = {90-6764-362-9}, pages = {253--270}, publisher = {VSP}, year = {2002}, }

@article{KowSch02a, author = {Kowar, R. and Scherzer, O.}, title = {Beam-forming for nonlinear ultrasound inversion}, issn = {0928-0219}, journal = {J. Inverse Ill-Posed Probl.}, fjournal = {Journal of Inverse and Ill-Posed Problems}, number = {2}, pages = {195--211}, volume = {10}, year = {2002}, }

@incollection{Sch02, author = {Scherzer, O.}, title = {Explicit versus implicit relative error regularization on the space of functions of bounded variation}, address = {Providence, Rhode Island}, booktitle = {Inverse problems, image analysis, and medical imaging}, doi = {10.1090/conm/313}, editor = {Nashed, M.~Z. and Scherzer, O.}, isbn = {978-0-8218-2979-0}, location = {New Orleans, Louisiana}, pages = {171--198}, publisher = {American Mathematical Society}, series = {Contemporary Mathematics}, url = {http://dx.doi.org/10.1090/conm/313}, volume = {313}, year = {2002}, }

@inproceedings{Sch02a, author = {Scherzer, O.}, title = {Relative error regularization for functions of bounded variation}, booktitle = {Proceedings PICOF 02}, pages = {181--188}, year = {2002}, }

@article{SchScho02, author = {Scherzer, O. and Schoisswohl, A.}, title = {A fast and robust algorithm for {2D/3D} panorama ultrasound data}, address = {London, UK, UK}, doi = {10.1006/rtim.2001.0258}, issn = {1077-2014}, journal = {Real-Time Imaging}, fjournal = {Real-Time Imaging}, number = {1}, pages = {53--60}, publisher = {Academic Press Ltd.}, url = {http://dx.doi.org/10.1006/rtim.2001.0258}, volume = {8}, year = {2002}, }

@article{BurSch01, author = {Burger, M. and Scherzer, O.}, title = {Regularization methods for blind deconvolution and blind source separation problems}, doi = {10.1007/s498-001-8041-y}, issn = {0932-4194}, journal = {Math. Control Signals Systems}, fjournal = {Mathematics of Control, Signals, and Systems}, number = {4}, pages = {358--383}, url = {http://dx.doi.org/10.1007/s498-001-8041-y}, volume = {14}, year = {2001}, }

@article{ChyPauSchSchoZim01, author = {Chyzak, F. and Paule, P. and Scherzer, O. and Schoisswohl, A. and Zimmermann, B.}, title = {The construction of orthonormal wavelets using symbolic methods and a matrix analytical approach for wavelets on the interval}, issn = {1058-6458}, journal = {Experiment. Math.}, fjournal = {Experimental Mathematics}, number = {1}, pages = {67--86}, url = {http://projecteuclid.org/getRecord?id=euclid.em/999188421}, volume = {10}, year = {2001}, }

@article{FriSchSon01, author = {Frigaard, I.~A. and Scherzer, O. and Sona, G.}, title = {Uniqueness and non-uniqueness in the steady displacement of two visco-plastic fluids}, doi = {10.1002/1521-4001(200102)81:2<99::aid-zamm99>3.3.co;2-h}, issn = {0044-2267}, journal = {ZAMM Z. Angew. Math. Mech.}, fjournal = {Zeitschrift f {\"u}r Angewandte Mathematik und Mechanik. Journal of Applied Mathematics and Mechanics}, number = {2}, pages = {99--118}, url = {http://dx.doi.org/10.1002/1521-4001(200102)81:2<99::AID-ZAMM99>3.3.CO;2-H}, volume = {81}, year = {2001}, }

@article{HanSch01, author = {Hanke, M. and Scherzer, O.}, title = {Inverse problems light: numerical differentiation}, doi = {10.2307/2695705}, issn = {0002-9890}, journal = {Amer. Math. Mon.}, fjournal = {The American Mathematical Monthly}, number = {6}, pages = {512--521}, url = {http://dx.doi.org/10.2307/2695705}, volume = {108}, year = {2001}, }

@article{HinSch01, author = {Hinterberger, W. and Scherzer, O.}, title = {Models for image interpolation based on the optical flow}, doi = {10.1007/s006070170023}, issn = {0010-485X}, journal = {Computing}, fjournal = {Computing. Archives for Scientific Computing}, number = {3}, pages = {231--247}, url = {http://dx.doi.org/10.1007/s006070170023}, volume = {66}, year = {2001}, }

@article{KabKowSchVas01, author = {Kabanikhin, S.~I. and Kowar, R. and Scherzer, O. and Vasin, V.~V.}, title = {Numerical comparison of iterative regularization methods for a parameter estimation problem in a hyperbolic {PDE}}, issn = {0928-0219}, journal = {J. Inverse Ill-Posed Probl.}, fjournal = {Journal of Inverse and Ill-Posed Problems}, number = {6}, pages = {615--626}, volume = {9}, year = {2001}, }

@article{Sch01a, author = {Scherzer, O.}, title = {A posteriori error estimates for the solution of nonlinear ill-posed operator equations}, doi = {10.1016/s0362-546x(99)00413-7}, issn = {0362-546X}, journal = {Nonlinear Anal.}, fjournal = {Nonlinear Analysis: Theory, Methods {\&} Applications}, number = {4}, pages = {459--481}, volume = {45}, year = {2001}, }

@inproceedings{SchGro01, author = {Scherzer, O. and Groetsch, C.~W.}, title = {Inverse Scale Space Theory for Inverse Problems}, address = {Berlin/Heidelberg}, booktitle = {Scale-Space and Morphology in Computer Vision}, doi = {10.1007/3-540-47778-0_29}, editor = {Kerckhove, M.}, isbn = {978-3-540-42317-1}, location = {Vancouver, Canada}, number = {2106}, pages = {317--325}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, url = {http://dx.doi.org/10.1007/3-540-47778-0_29}, year = {2001}, }

@article{WeiHeeSchnZuiSch01, author = {Weickert, J. and Heers, J. and Schn{\"o}rr, C. and Zuiderveld, K.~J. and Scherzer, O. and Stiehl, H.~S.}, title = {Fast Parallel Algorithms for a Broad Class of Nonlinear Variational Diffusion Approaches}, doi = {10.1006/rtim.2000.0221}, issn = {1077-2014}, journal = {Real-Time Imaging}, fjournal = {Real-Time Imaging}, number = {1}, pages = {31--45}, publisher = {Academic Press}, url = {http://dx.doi.org/10.1006/rtim.2000.0221}, volume = {7}, year = {2001}, }

@incollection{EngSch00, author = {Engl, H.~W. and Scherzer, O.}, title = {Convergence rates results for iterative methods for solving nonlinear ill-posed problems}, address = {Vienna}, booktitle = {Surveys on solution methods for inverse problems}, pages = {7--34}, publisher = {Springer}, year = {2000}, }

@article{FriSch00, author = {Frigaard, I.~A. and Scherzer, O.}, title = {The effects of yield stress variation on uniaxial exchange flows of two {B}ingham fluids in a pipe}, doi = {10.1137/s0036139998335165}, issn = {0036-1399}, journal = {{SIAM} J. Appl. Math.}, fjournal = {{SIAM} Journal on Applied Mathematics}, number = {6}, pages = {1950--1976 (electronic)}, url = {http://dx.doi.org/10.1137/S0036139998335165}, volume = {60}, year = {2000}, }

@article{GroSch00, author = {Groetsch, C.~W. and Scherzer, O.}, title = {Non-stationary iterated {T}ikhonov-{M}orozov method and third-order differential equations for the evaluation of unbounded operators}, doi = {10.1002/1099-1476(200010)23:15<1287::aid-mma165>3.3.co;2-e}, issn = {0170-4214}, journal = {Math. Methods Appl. Sci.}, fjournal = {Mathematical Methods in the Applied Sciences}, number = {15}, pages = {1287--1300}, url = {http://dx.doi.org/10.1002/1099-1476(200010)23:15<1287::AID-MMA165>3.3.CO;2-E}, volume = {23}, year = {2000}, }

@article{RadSchWei00, author = {Radmoser, E. and Scherzer, O. and Weickert, J.}, title = {Scale-Space Properties of Nonstationary Iterative Regularization Methods}, doi = {10.1006/jvci.1999.0437}, issn = {1047-3203}, journal = {J. Vis. Commun. Image Represent.}, fjournal = {Journal of Visual Communication and Image Representation}, number = {2}, pages = {96--114}, url = {http://dx.doi.org/10.1006/jvci.1999.0437}, volume = {11}, year = {2000}, }

@article{SchWei00, author = {Scherzer, O. and Weickert, J.}, title = {Relations between regularization and diffusion filtering}, doi = {10.1023/a:1008344608808}, issn = {0924-9907}, journal = {J. Math. Imaging Vision}, fjournal = {Journal of Mathematical Imaging and Vision}, number = {1}, pages = {43--63}, url = {http://dx.doi.org/10.1023/A:1008344608808}, volume = {12}, year = {2000}, }

@article{HanSch99, author = {Hanke, M. and Scherzer, O.}, title = {Error analysis of an equation error method for the identification of the diffusion coefficient in a quasi-linear parabolic differential equation}, doi = {10.1137/s0036139997331628}, issn = {0036-1399}, journal = {{SIAM} J. Appl. Math.}, fjournal = {{SIAM} Journal on Applied Mathematics}, number = {3}, pages = {1012--1027 (electronic)}, url = {http://dx.doi.org/10.1137/S0036139997331628}, volume = {59}, year = {1999}, }

@inproceedings{RadSchWei99, author = {Radmoser, E. and Scherzer, O. and Weickert, J.}, title = {Scale-Space Properties of Regularization Methods}, address = {Berlin/Heidelberg}, booktitle = {Scale-Space Theories in Computer Vision}, doi = {10.1007/3-540-48236-9_19}, editor = {Nielsen, M. and Johansen, P. and Olsen, O. and Weickert, J.}, isbn = {978-3-540-66498-7}, location = {Corfu, Greece}, pages = {211--222}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, url = {http://dx.doi.org/10.1007/3-540-48236-9_19}, volume = {1682}, year = {1999}, }

@article{SchGul99, author = {Scherzer, O. and Gulliksson, M.}, title = {Adaptive strategy for the damping parameters in an iteratively regularized {G}auss-{N}ewton method}, doi = {10.1023/a:1021773116353}, issn = {0022-3239}, journal = {J. Optim. Theory Appl.}, fjournal = {Journal of Optimization Theory and Applications}, number = {1}, pages = {161--180}, url = {http://dx.doi.org/10.1023/A:1021773116353}, volume = {100}, year = {1999}, }

@article{DeuEngSch98, author = {Deuflhard, P. and Engl, H.~W. and Scherzer, O.}, title = {A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions}, doi = {10.1088/0266-5611/14/5/002}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {5}, pages = {1081--1106}, url = {http://dx.doi.org/10.1088/0266-5611/14/5/002}, volume = {14}, year = {1998}, }

@article{FriSch98, author = {Frigaard, I.~A. and Scherzer, O.}, title = {Uniaxial exchange flows of two {B}ingham fluids in a cylindrical duct}, doi = {10.1093/imamat/61.3.237}, issn = {0272-4960}, journal = {{IMA} J. Appl. Math.}, fjournal = {{IMA} Journal of Applied Mathematics}, number = {3}, pages = {237--266}, url = {http://dx.doi.org/10.1093/imamat/61.3.237}, volume = {61}, year = {1998}, }

@article{HofSch98, author = {Hofmann, B. and Scherzer, O.}, title = {Local ill-posedness and source conditions of operator equations in {H}ilbert spaces}, doi = {10.1088/0266-5611/14/5/007}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {5}, pages = {1189--1206}, url = {http://dx.doi.org/10.1088/0266-5611/14/5/007}, volume = {14}, year = {1998}, }

@article{KabKowSch98, author = {Kabanikhin, S.~I. and Kowar, R. and Scherzer, O.}, title = {On the {L}andweber iteration for the solution of a parameter identification problem in a hyperbolic partial differential equation of second order}, doi = {10.1515/jiip.1998.6.5.403}, issn = {0928-0219}, journal = {J. Inverse Ill-Posed Probl.}, fjournal = {Journal of Inverse and Ill-Posed Problems}, number = {5}, pages = {403--430}, url = {http://dx.doi.org/10.1515/jiip.1998.6.5.403}, volume = {6}, year = {1998}, }

@article{NasSch98, author = {Nashed, M.~Z. and Scherzer, O.}, title = {Least squares and bounded variation regularization with nondifferentiable functionals}, doi = {10.1080/01630569808816863}, issn = {0163-0563}, journal = {Numer. Funct. Anal. Optim.}, fjournal = {Numerical Functional Analysis and Optimization}, number = {7-8}, pages = {873--901}, url = {http://dx.doi.org/10.1080/01630569808816863}, volume = {19}, year = {1998}, }

@article{NeuSch98, author = {Neubauer, A. and Scherzer, O.}, title = {Regularization for curve representations: uniform convergence for discontinuous solutions of ill-posed problems}, doi = {10.1137/s0036139997321451}, issn = {0036-1399}, journal = {{SIAM} J. Appl. Math.}, fjournal = {{SIAM} Journal on Applied Mathematics}, number = {6}, pages = {1891--1900 (electronic)}, url = {http://dx.doi.org/10.1137/S0036139997321451}, volume = {58}, year = {1998}, }

@article{Sch98, author = {Scherzer, O.}, title = {A modified {L}andweber iteration for solving parameter estimation problems}, doi = {10.1007/s002459900081}, issn = {0095-4616}, journal = {Appl. Math. Optim.}, fjournal = {Applied Mathematics {\&} Optimization}, number = {1}, pages = {45--68}, url = {http://dx.doi.org/10.1007/s002459900081}, volume = {38}, year = {1998}, }

@article{Sch98a, author = {Scherzer, O.}, title = {Denoising with higher order derivatives of bounded variation and an application to parameter estimation}, doi = {10.1007/bf02684327}, issn = {0010-485X}, journal = {Computing}, fjournal = {Computing}, number = {1}, pages = {1--27}, url = {http://dx.doi.org/10.1007/BF02684327}, volume = {60}, year = {1998}, }

@article{Sch98b, author = {Scherzer, O.}, title = {An iterative multi-level algorithm for solving nonlinear ill-posed problems}, doi = {10.1007/s002110050379}, issn = {0029-599X}, journal = {Numer. Math.}, fjournal = {Numerische Mathematik}, number = {4}, pages = {579--600}, url = {http://dx.doi.org/10.1007/s002110050379}, volume = {80}, year = {1998}, }

@article{SchStr98, author = {Scherzer, O. and Strohmer, T.}, title = {A multi-level algorithm for the solution of moment problems}, doi = {10.1080/01630569808816833}, issn = {0163-0563}, journal = {Numer. Funct. Anal. Optim.}, fjournal = {Numerical Functional Analysis and Optimization}, number = {3-4}, pages = {353--375}, url = {http://dx.doi.org/10.1080/01630569808816833}, volume = {19}, year = {1998}, }

@article{BlaNeuSch97, author = {Blaschke, B. and Neubauer, A. and Scherzer, O.}, title = {On convergence rates for the iteratively regularized {G}auss-{N}ewton method}, doi = {10.1093/imanum/17.3.421}, issn = {0272-4979}, journal = {{IMA} J. Numer. Anal.}, fjournal = {{IMA} Journal of Numerical Analysis}, number = {3}, pages = {421--436}, url = {http://dx.doi.org/10.1093/imanum/17.3.421}, volume = {17}, year = {1997}, }

@article{FriSch97, author = {Frigaard, I.~A. and Scherzer, O.}, title = {Spraying the perfect billet}, doi = {10.1137/s0036139995287132}, issn = {0036-1399}, journal = {{SIAM} J. Appl. Math.}, fjournal = {{SIAM} Journal on Applied Mathematics}, number = {3}, pages = {649--682}, url = {http://dx.doi.org/10.1137/S0036139995287132}, volume = {57}, year = {1997}, }

@incollection{NasSch97a, author = {Nashed, M.~Z. and Scherzer, O.}, title = {Stable approximation of nondifferentiable optimization problems with variational inequalities}, address = {Providence, RI}, booktitle = {Recent developments in optimization theory and nonlinear analysis (Jerusalem, 1995)}, pages = {155--170}, publisher = {Amer. Math. Soc.}, series = {Contemp. Math.}, volume = {204}, year = {1997}, }

@article{NasSch97b, author = {Nashed, M.~Z. and Scherzer, O.}, title = {Stable approximations of a minimal surface problem with variational inequalities}, doi = {10.1155/s1085337597000316}, issn = {1085-3375}, journal = {Abstr. Appl. Anal.}, fjournal = {Abstract and Applied Analysis}, number = {1-2}, pages = {137--161}, url = {http://dx.doi.org/10.1155/S1085337597000316}, volume = {2}, year = {1997}, }

@incollection{NeuSch97, author = {Neubauer, A. and Scherzer, O.}, title = {Reconstruction of discontinuous solutions from blurred data}, booktitle = {Computational, Experimental, and Numerical Methods for Solving Ill-Posed Inverse Imaging Problems: Medical and Nonmedical Applications}, doi = {10.1117/12.279730}, editor = {Barbour, R.~L. and Carvlin, M.~J. and Fiddy, M.~A.}, location = {San Diego, CA, USA}, pages = {34--41}, publisher = {SPIE}, series = {Proceedings of SPIE}, url = {http://dx.doi.org/10.1117/12.279730}, volume = {3171}, year = {1997}, }

@article{Sch97, author = {Scherzer, O.}, title = {Stable evaluation of differential operators and linear and nonlinear multi-scale filtering}, issn = {1072-6691}, journal = {Electron. J. Differential Equations}, fjournal = {Electronic Journal of Differential Equations}, pages = {12 pp. (electronic)}, url = {http://ejde.math.unt.edu}, volume = {15}, year = {1997}, }

@article{BinHanSch96, author = {Binder, A. and Hanke, M. and Scherzer, O.}, title = {On the {L}andweber iteration for nonlinear ill-posed problems}, doi = {10.1515/jiip.1996.4.5.381}, issn = {0928-0219}, journal = {J. Inverse Ill-Posed Probl.}, fjournal = {Journal of Inverse and Ill-Posed Problems}, number = {5}, pages = {381--389}, url = {http://dx.doi.org/10.1515/jiip.1996.4.5.381}, volume = {4}, year = {1996}, }

@article{DobSch96, author = {Dobson, D. and Scherzer, O.}, title = {Analysis of regularized total variation penalty methods for denoising}, doi = {10.1088/0266-5611/12/5/005}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {5}, pages = {601--617}, url = {http://dx.doi.org/10.1088/0266-5611/12/5/005}, volume = {12}, year = {1996}, }

@incollection{HetMorSch96, author = {Hettlich, F. and Morgan, J. and Scherzer, O.}, title = {On the estimation of interfaces from boundary measurements}, address = {Philadelphia, PA}, booktitle = {Inverse problems in geophysical applications ({Y}osemite, {CA}, 1995)}, pages = {163--178}, publisher = {SIAM}, year = {1996}, }

@article{Sch96, author = {Scherzer, O.}, title = {A convergence analysis of a method of steepest descent and a two-step algorithm for nonlinear ill-posed problems}, doi = {10.1080/01630569608816691}, issn = {0163-0563}, journal = {Numer. Funct. Anal. Optim.}, fjournal = {Numerical Functional Analysis and Optimization}, number = {1-2}, pages = {197--214}, url = {http://dx.doi.org/10.1080/01630569608816691}, volume = {17}, year = {1996}, }

@inproceedings{HanHetSch95, author = {Hanke, M. and Hettlich, F. and Scherzer, O.}, title = {The {L}andweber iteration for an inverse scattering problem}, address = {New York}, booktitle = {Volume 3C: 15th Biennial Conference on Mechanical Vibration and Noise -- Vibration Control, Analysis, and Identification}, doi = {10.1115/detc1995-0658}, editor = {Wang, K.-W. and Yang, B. and Sun, J.Q. and Seto, K. and Nonami, K. and Tzou, H.-S. and Rao, S.S. and Tomlinson, G.R. and Yang, B. and Banks, H.T. and Gladwell, G.M.L. and Link, M. and Lallement, G. and Alberts, T.E. and Tan, C.-A. and Hung, Y.Y.}, pages = {909--915}, publisher = {The American Society of Mechanical Engineers}, year = {1995}, }

@article{HanNeuSch95, author = {Hanke, M. and Neubauer, A. and Scherzer, O.}, title = {A convergence analysis of the {L}andweber iteration for nonlinear ill-posed problems}, doi = {10.1007/s002110050158}, issn = {0029-599X}, journal = {Numer. Math.}, fjournal = {Numerische Mathematik}, number = {1}, pages = {21--37}, url = {http://dx.doi.org/10.1007/s002110050158}, volume = {72}, year = {1995}, }

@article{NeuSch95, author = {Neubauer, A. and Scherzer, O.}, title = {A convergence rate result for a steepest descent method and a minimal error method for the solution of nonlinear ill-posed problems}, issn = {0232-2064}, journal = {Z. Anal. Anwend.}, fjournal = {Zeitschrift f{\"u}r Analysis und ihre Anwendungen. Journal of Analysis and its Applications}, number = {2}, pages = {369--377}, volume = {14}, year = {1995}, }

@article{Sch95, author = {Scherzer, O.}, title = {Convergence Criteria of Iterative Methods based on {L}andweber Iteration for Solving Nonlinear Problems}, doi = {10.1006/jmaa.1995.1335}, issn = {0022-247X}, journal = {J. Math. Anal. Appl.}, fjournal = {Journal of Mathematical Analysis and Applications}, number = {3}, pages = {911--933}, url = {http://dx.doi.org/10.1006/jmaa.1995.1335}, volume = {194}, year = {1995}, }

@article{BinEngGroNeuSch94, author = {Binder, A. and Engl, H.~W. and Groetsch, C.~W. and Neubauer, A. and Scherzer, O.}, title = {Weakly closed nonlinear operators and parameter identification in parabolic equations by {T}ikhonov regularization}, doi = {10.1080/00036819408840301}, issn = {0003-6811}, journal = {Appl. Anal.}, fjournal = {Applicable Analysis}, number = {3-4}, pages = {215--234}, url = {http://dx.doi.org/10.1080/00036819408840301}, volume = {55}, year = {1994}, }

@article{BurSch94, author = {Burgholzer, P. and Scherzer, O.}, title = {On the numerical determination of optimal textures of aluminium}, journal = {Text. Microstruct.}, fjournal = {Textures and Microstructures}, pages = {177--186}, publisher = {Gordon and Breach Science Publishers S.A.}, volume = {22}, year = {1994}, }

@article{EngRunSch94, author = {Engl, H.~W. and Rundell, W. and Scherzer, O.}, title = {A regularization scheme for an inverse problem in age-structured populations}, doi = {10.1006/jmaa.1994.1112}, issn = {0022-247X}, journal = {J. Math. Anal. Appl.}, fjournal = {Journal of Mathematical Analysis and Applications}, number = {3}, pages = {658--679}, url = {http://dx.doi.org/10.1006/jmaa.1994.1112}, volume = {182}, year = {1994}, }

@article{EngSchYam94, author = {Engl, H.~W. and Scherzer, O. and Yamamoto, M.}, title = {Uniqueness and stable determination of forcing terms in linear partial differential equations with overspecified boundary data}, doi = {10.1088/0266-5611/10/6/006}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {6}, pages = {1253--1276}, url = {http://dx.doi.org/10.1088/0266-5611/10/6/006}, volume = {10}, year = {1994}, }

@article{HofSch94, author = {Hofmann, B. and Scherzer, O.}, title = {Factors influencing the ill-posedness of nonlinear problems}, doi = {10.1088/0266-5611/10/6/007}, issn = {0266-5611}, journal = {Inverse Probl.}, fjournal = {Inverse Problems}, number = {6}, pages = {1277--1297}, url = {http://dx.doi.org/10.1088/0266-5611/10/6/007}, volume = {10}, year = {1994}, }

@article{GroSch93, author = {Groetsch, C.~W. and Scherzer, O.}, title = {Optimal order of convergence for stable evaluation of differential operators}, issn = {1072-6691}, journal = {Electron. J. Differential Equations}, fjournal = {Electronic Journal of Differential Equations}, pages = {1--10}, url = {http://ejde.math.unt.edu}, volume = {4}, year = {1993}, }

@article{Sch93, author = {Scherzer, O.}, title = {The use of {M}orozov's discrepancy principle for {T}ikhonov regularization for solving nonlinear ill-posed problems}, doi = {10.1007/bf02243828}, issn = {0010-485X}, journal = {Computing}, fjournal = {Computing. Archives for Scientific Computing}, number = {1}, pages = {45--60}, url = {http://dx.doi.org/10.1007/BF02243828}, volume = {51}, year = {1993}, }

@article{Sch93b, author = {Scherzer, O.}, title = {Convergence rates of iterated {T}ikhonov regularized solutions of nonlinear ill-posed problems}, doi = {10.1007/bf01385697}, issn = {0029-599X}, journal = {Numer. Math.}, fjournal = {Numerische Mathematik}, number = {2}, pages = {259--279}, url = {http://dx.doi.org/10.1007/BF01385697}, volume = {66}, year = {1993}, }

@article{Sch93c, author = {Scherzer, O.}, title = {A parameter choice for {T}ikhonov regularization for solving nonlinear inverse problems leading to optimal convergence rates}, issn = {0862-7940}, journal = {Appl. Math.}, fjournal = {Applications of Mathematics}, number = {6}, pages = {479--487}, publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic}, volume = {38}, year = {1993}, }

@article{SchEngAnd93, author = {Scherzer, O. and Engl, H.~W. and Anderssen, R.~S.}, title = {Parameter identification from boundary measurements in a parabolic equation arising from geophysics}, doi = {10.1016/0362-546x(93)90013-i}, issn = {0362-546X}, journal = {Nonlinear Anal.}, fjournal = {Nonlinear Analysis: Theory, Methods {\&} Applications}, number = {2}, pages = {127--156}, url = {http://dx.doi.org/10.1016/0362-546X(93)90013-I}, volume = {20}, year = {1993}, }

@article{SchEngKun93, author = {Scherzer, O. and Engl, H.~W. and Kunisch, K.}, title = {Optimal a posteriori parameter choice for {T}ikhonov regularization for solving nonlinear ill-posed problems}, doi = {10.1137/0730091}, issn = {0036-1429}, journal = {{SIAM} J. Numer. Anal.}, fjournal = {{SIAM} Journal on Numerical Analysis}, number = {6}, pages = {1796--1838}, url = {http://dx.doi.org/10.1137/0730091}, volume = {30}, year = {1993}, }

@article{Sch92, author = {Scherzer, O.}, title = {The use of {T}ikhonov regularization in the identification of electrical conductivities from overdetermined boundary data}, issn = {0378-6218}, journal = {Results Math.}, fjournal = {Results in Mathematics. Resultate der Mathematik}, number = {1-2}, pages = {598--618}, volume = {22}, year = {1992}, }

@article{NeuSch90, author = {Neubauer, A. and Scherzer, O.}, title = {Finite-dimensional approximation of {T}ikhonov regularized solutions of nonlinear ill-posed problems}, doi = {10.1080/01630569008816362}, issn = {0163-0563}, journal = {Numer. Funct. Anal. Optim.}, fjournal = {Numerical Functional Analysis and Optimization}, number = {1-2}, pages = {85--99}, url = {http://dx.doi.org/10.1080/01630569008816362}, volume = {11}, year = {1990}, }

@book{RamSch19, title = {The Radon Transform: The First 100 Years and Beyond}, editor = {Ramlau, R. and Scherzer, O.}, isbn = {978-3-11-056085-5}, number = {22}, publisher = {De Gruyter}, series = {Radon Series on Computational and Applied Mathematics}, url = {https://www.degruyter.com/view/product/495447}, year = {2019}, }

@book{Sch15, title = {Handbook of Mathematical Methods in Imaging}, address = {New York}, doi = {10.1007/978-1-4939-0790-8}, edition = {2}, editor = {Scherzer, O.}, isbn = {978-1-4939-0789-2}, publisher = {Springer}, year = {2015}, }

@book{Sch11, title = {Handbook of Mathematical Methods in Imaging}, address = {New York}, doi = {10.1007/978-0-387-92920-0}, editor = {Scherzer, O.}, isbn = {978-0-387-92919-4}, publisher = {Springer}, url = {http://dx.doi.org/10.1007/978-0-387-92920-0}, year = {2011}, }

@book{SchGraGroHalLen09, author = {Scherzer, O. and Grasmair, M. and Grossauer, H. and Haltmeier, M. and Lenzen, F.}, title = {Variational Methods in Imaging}, address = {New York}, doi = {10.1007/978-0-387-69277-7}, isbn = {978-0-387-30931-6}, number = {167}, publisher = {Springer}, series = {Applied Mathematical Sciences}, url = {http://dx.doi.org/10.1007/978-0-387-69277-7}, year = {2009}, }

@book{KalNeuSch08, author = {Kaltenbacher, B. and Neubauer, A. and Scherzer, O.}, title = {Iterative regularization methods for nonlinear ill-posed problems}, address = {Berlin}, doi = {10.1515/9783110208276}, isbn = {978-3-11-020420-9}, publisher = {Walter de Gruyter}, series = {Radon Series on Computational and Applied Mathematics}, url = {http://dx.doi.org/10.1515/9783110208276}, volume = {6}, year = {2008}, }

@book{Sch06, title = {Mathematical models for registration and applications to medical imaging}, address = {Berlin}, doi = {10.1007/978-3-540-34767-5}, editor = {Scherzer, O.}, isbn = {978-3-540-25029-6; 3-540-25029-8}, publisher = {Springer-Verlag}, series = {Mathematics in Industry}, url = {http://dx.doi.org/10.1007/978-3-540-34767-5}, volume = {10}, year = {2006}, }

@book{BerSch03, title = {Special section on imaging}, address = {Bristol}, doi = {10.1088/0266-5611/19/6/e01}, editor = {Bertero, M. and Scherzer, O.}, issn = {0266-5611}, publisher = {Institute of Physics Publishing}, url = {http://dx.doi.org/10.1088/0266-5611/19/6/E01}, year = {2003}, }