Preprints

2022

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K. Bredies, J. A. Iglesias and G. Mercier Boundedness and unboundedness in total variation regularization Preprint on ArXiv, 2203.03264, 2022 BibTeX | PDF )
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R. Chapko and L. Mindrinos On the numerical solution of a hyperbolic inverse boundary value problem in bounded domains Preprint on ArXiv, 2201.04846, 2022 BibTeX | funding | PDF )
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P. Elbau, L. Mindrinos and L. Veselka Development of mathematical models for quantitative OCT: A review Preprint on ArXiv, 2208.01642, 2022 BibTeX | funding | PDF )
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F. Faucher and O. Scherzer Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty Technical report, 2204.13017, 2022 BibTeX | funding | PDF )
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S. Hubmer and E. Sherina Characterizations of Adjoint Sobolev Embedding Operators for Inverse Problems Preprint on ArXiv, 2202.05101, 2022 BibTeX | PDF )
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J. A. Iglesias and G. Mercier Geometric convergence in fractional Laplacian regularization Preprint on ArXiv, 2201.13281, 2022 BibTeX | PDF )
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2021

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A. Aspri, L. Frischauf, Y. Korolev and O. Scherzer Data driven reconstruction using frames and Riesz bases Preprint on ArXiv, 2103.05718, 2021 BibTeX | funding | PDF )
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 F Faucher, C. Kirisits,  M Quellmalz, O. Scherzer and E. Setterqvist Diffraction Tomography, Fourier Reconstruction, and Full Wave Inversion Preprint on ArXiv, 2110.07921, 2021 BibTeX | funding | PDF )
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 L Frischauf, O. Scherzer and C. Shi Universal approximation properties of shallow quadratic neural networks Technical report, 2110.01536, 2021 BibTeX | funding | PDF )
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J. A. Iglesias and G. Mercier Convergence of level sets in total variation denoising through variational curvatures in unbounded domains Preprint on ArXiv, arXiv:2005.13910, 2021 BibTeX | PDF )
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C. Kirisits, M. Quellmalz, M. Ritsch-Marte, O. Scherzer, E. Setterqvist and G. Steidl Fourier reconstruction for diffraction tomography of an object rotated into arbitrary orientations Preprint on ArXiv, 2104.07990, 2021 BibTeX | funding | PDF )
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F. Parzer and O. Scherzer On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems Preprint on ArXiv, arXiv:2104.10895, 2021 BibTeX | funding | PDF )
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E. Sherina, L. Krainz, S. Hubmer, W. Drexler and O. Scherzer Challenges for Optical Flow Estimates in Elastography Preprint on ArXiv, 2103.14494, 2021 BibTeX | funding | PDF )
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L. Veselka, L. Krainz, L. Mindrinos, W. Drexler and P. Elbau A Quantitative Model for Optical Coherence Tomography Preprint on ArXiv, 2109.07477, 2021 BibTeX | funding | PDF )
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2020

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A. Aspri, E. Beretta, O. Scherzer and M. Muszkieta Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography Preprint on ArXiv, 1912.12361, 2020 BibTeX | funding | PDF )
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A. Aspri, Y. Korolev and O. Scherzer Data driven regularization by projection Preprint on ArXiv, 1909.11570, 2020 BibTeX | funding | PDF )
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H. Barucq, F. Faucher, D. Fournier, L. Gizon and H. Pham Efficient computation of the modal outgoing Green's kernel for the scalar wave equation in helioseismology Technical report, hal-02544701, 2020 BibTeX | funding | PDF )
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H. Barucq, F. Faucher, D. Fournier, L. Gizon and H. Pham On the outgoing solutions and radiation boundary conditions for the vectorial wave equation with ideal atmosphere in helioseismology Technical report, hal-02423882, 2020 BibTeX | funding | PDF )
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P. Elbau, L. Mindrinos and L. Veselka Reconstructing the Optical Parameters of a Layered Medium with Optical Coherence Elastography Preprint on ArXiv, arXiv:2002.03760, 2020 BibTeX | funding | PDF )
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F. Faucher, M. V. de Hoop and O. Scherzer Reciprocity-gap misfit functional for Distributed Acoustic Sensing, combining teleseismic and exploration data Preprint on ArXiv, arXiv:2004.04580, 2020 BibTeX | funding | PDF )
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D. Gintides, S. Giogiakas and L. Mindrinos The direct electromagnetic scattering problem by a piecewise constant inhomogeneous cylinder at oblique incidence Preprint on ArXiv, arXiv:2004.14082, 2020 BibTeX | funding | PDF )
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J. A. Iglesias and G. Mercier Convergence of level sets in TV denoising through variational curvatures in unbounded domains Preprint on ArXiv, arXiv:2005.13910v1, 2020 BibTeX | PDF )
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J. A. Iglesias, G. Mercier, E. Chaparian and I. A. Frigaard Computing the Yield Limit in Three-dimensional Flows of a Yield Stress Fluid About a Settling Particle Preprint on ArXiv, arXiv:2002.05557, 2020 BibTeX | PDF )
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A. Kittenberger, L. Mindrinos and O. Scherzer Computed Origami Tomography Preprint on ArXiv, arXiv:2006.03446, 2020 BibTeX | funding | PDF )
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M. Lopez-Martinez, G. Mercier, K. Sadiq, O. Scherzer, M. Schneider, J. C. Schotland, G. J. Schütz and R. Telschow Inverse Problems of Single Molecule Localization Microscopy Preprint on ArXiv, arXiv:2002.01741, 2020 BibTeX | funding | PDF )
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M. Melching and O. Scherzer Diffusion Tensor Regularization with Metric Double Integrals Preprint on ArXiv, arXiv:2004.01585, 2020 BibTeX | funding | PDF )
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M. C. Schneider, R. Telschow, G. Mercier, M. Lopez-Martinez, O. Scherzer and G. Schütz A workflow for sizing oligomeric biomolecules based on cryo single molecule localization microscopy Preprint on bioRxiv, 2020 BibTeX | funding | PDF )
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E. Sherina, L. Krainz, S. Hubmer, W. Drexler and O. Scherzer Displacement field estimation from OCT images utilizing speckle information with applications in quantitative elastography Preprint on ArXiv, 2008.07373, 2020 BibTeX | funding | PDF )
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2019

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A. Aspri, Y. Korolev and O. Scherzer Data driven regularization by projection Preprint on ArXiv, 1909.11570, 2019 BibTeX | funding | PDF )
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H. Barucq, F. Faucher and O. Scherzer Eigenvector Model Descriptors for Solving an Inverse Problem of Helmholtz Equation Preprint on ArXiv, arXiv:1903.08991v2, 2019 BibTeX | funding | PDF )
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A. Beigl, O. Scherzer, J. Sogn and W. Zulehner Preconditioning Inverse Problems for Hyperbolic Equations with Applications to Photoacoustic Tomography Preprint on ArXiv, arXiv:1905.13490, 2019 BibTeX | funding | PDF )
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A. Beigl, J. Sogn and W. Zulehner Robust Preconditioners for Multiple Saddle Point Problems and Applications to Optimal Control Problems Preprint on ArXiv, arXiv:1912.09995, 2019 BibTeX | funding | PDF )
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R. Boţ, D. Guozhi, P. Elbau and O. Scherzer Convergence Rates of First and Higher Order Dynamics for Solving Linear Inverse Problems Technical report, University of Vienna, Austria, 2019 BibTeX | funding | PDF )
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P. Elbau, L. Mindrinos and L. Veselka Quantitative OCT reconstructions for dispersive media Preprint on ArXiv, arXiv:1906.12315, 2019 BibTeX | funding | PDF )
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P. Elbau, M. Ritsch-Marte, O. Scherzer and D. Schmutz Inverse Problems of Trapped Objects Preprint on ArXiv, arXiv:1907.01387, 2019 BibTeX | funding | PDF )
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B. Kaltenbacher, T. T. N. Nguyen and O. Scherzer The tangential cone condition for some coefficient identification model problems in parabolic PDEs Preprint on ArXiv, arXiv:1908.01239, 2019 BibTeX | funding | PDF )
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C. Kirisits, O. Scherzer and E. Setterqvist Preservation of Piecewise Constancy under TV Regularization with Rectilinear Anisotropy Preprint on ArXiv, arXiv:1911.11454, 2019 BibTeX | funding | PDF )
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C. Kirisits, O. Scherzer and E. Setterqvist Invariant $varphi$-minimal sets and total variation denoising on graphs Preprint on ArXiv, arXiv:1807.10514v2, 2019 BibTeX | funding | PDF )
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C. Kirisits, O. Scherzer and E. Setterqvist Invariant $varphi$-minimal sets and total variation denoising on graphs Preprint on ArXiv, arXiv:1807.10514v3, 2019 BibTeX | funding | PDF )
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C. Kirisits and E. Setterqvist Universal Minimality in TV Regularization with Rectilinear Anisotropy Preprint on ArXiv, 1910.05186, 2019 BibTeX | PDF )
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M. Melching and O. Scherzer Regularization with Metric Double Integrals for Vector Tomography Preprint on ArXiv, arXiv:1911.06624, 2019 BibTeX | funding | PDF )
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E. Sherina Quantitative PAT-OCT Elastography for Biomechanical Parameter Imaging Technical report. Banff International Research Station for Mathematical Innovation and Discovery, 2019 BibTeX | funding | PDF )
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2018

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A. Aspri, S. Banert, O. Öktem and O. Scherzer A data-driven iteratively regularized Landweber iteration Preprint on ArXiv, 1812.00272, 2018 BibTeX | funding | PDF )
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R. Bot, G. Dong, P. Elbau and O. Scherzer Convergence Rates of First and Higher Order Dynamics for Solving Linear Ill-posed Problems Preprint on ArXiv, 1812.09343, 2018 BibTeX | funding | PDF )
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R. Ciak, M. Melching and O. Scherzer Regularization with Metric Double Integrals of Functions with Values in a Set of High-Dimensional Vectors Preprint on ArXiv, arXiv:1805.07552, 2018 BibTeX | funding | PDF )
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R. Ciak, M. Melching and O. Scherzer Regularization with Metric Double Integrals of Functions with Values in a Set of Vectors Preprint on ArXiv, arXiv:1805.07552, 2018 BibTeX | funding | PDF )
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R. Ciak, M. Melching and O. Scherzer Regularization with Metric Double Integrals of Functions with Values in a Set of Vectors Preprint on ArXiv, arXiv:1805.07552, 2018 BibTeX | funding | PDF )
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J. A. Iglesias and G. Mercier Influence of dimension on the convergence of level-sets in total variation regularization Preprint on ArXiv, arXiv:1811.12243, 2018 BibTeX | PDF )
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J. A. Iglesias, G. Mercier and O. Scherzer Critical yield numbers and limiting yield surfaces of particle arrays settling in a Bingham fluid Preprint on ArXiv, arXiv:1802.07560, 2018 BibTeX | funding | PDF )
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C. Kirisits and O. Scherzer A range condition for polyconvex variational regularization Preprint on ArXiv, arXiv:1802.05449, 2018 BibTeX | funding | PDF )
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C. Kirisits, O. Scherzer and E. Setterqvist Invariant $varphi$-minimal sets and total variation denoising on graphs Preprint on ArXiv, arXiv:1807.10514, 2018 BibTeX | funding | PDF )
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2017

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L. Baratchart and C. Gerhards On the Recovery of Core and Crustal Components of Geomagnetic Potential Fields Preprint on ArXiv, arXiv:1703.10920, 2017 BibTeX | PDF )
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A. Beigl, P. Elbau, K. Sadiq and O. Scherzer Quantitative Photoacoustic Imaging in the Acoustic Regime using SPIM Preprint on ArXiv, arXiv:1706.01818, 2017 BibTeX | funding | PDF )
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R. Chapko and L. Mindrinos On the numerical solution of the elastodynamic problem by a boundary integral equation method Preprint on ArXiv, arXiv:1705.07611, 2017 BibTeX | PDF )
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G. Dong and H. Guo Parametric polynomial preserving recovery on manifolds Preprint on ArXiv, arXiv:1703.06509, 2017 BibTeX | PDF )
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P. Elbau, L. Mindrinos and O. Scherzer The inverse scattering problem for orthotropic media in Polarization-sensitive Optical Coherence Tomography Preprint on ArXiv, arXiv:1705.08373, 2017 BibTeX | PDF )
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P. Elbau, L. Mindrinos and O. Scherzer Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging Preprint on ArXiv, arXiv:1709.00207, 2017 BibTeX | funding | PDF )
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D. Gintides and L. Mindrinos The inverse electromagnetic scattering problem by a penetrable cylinder at oblique incidence Preprint on ArXiv, arXiv:1701.01859, 2017 BibTeX | PDF )
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J. A. Iglesias, G. Mercier and O. Scherzer A note on convergence of solutions of total variation regularized linear inverse problems Preprint on ArXiv, arXiv:1711.06495, 2017 BibTeX | funding | PDF )
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L. F. Lang A Dynamic Programming Solution to Bounded Dejittering Problems Preprint on ArXiv, arXiv:1703.09161, 2017 BibTeX | Website | PDF )
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C. Shi and O. Scherzer Reconstruction formulas for Photoacoustic Imaging in Attenuating Media Preprint on ArXiv, 1705.07466, 2017 BibTeX | PDF )
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2016

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H. Akhouayri, M. Bergounioux, A. Da Silva, P. Elbau, A. Litman and L. Mindrinos Quantitative Thermoacoustic Tomography with microwaves sources Preprint on HAL, hal-01267412, University of Vienna, Austria, 2016 BibTeX | PDF )
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V. Albani, U. Ascher and J. P. Zubelli Local Volatility Models in Commodity Markets and Online Calibration Preprint on ArXiv, 1602.04372, 2016 BibTeX | PDF )
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H. Ammari, F. Romero and Shi C. A signal separation technique for sub-cellular imaging using dynamic optical coherence tomography Preprint on ArXiv, 2016 BibTeX | funding | PDF )
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R. Chapko, D. Gintides and L. Mindrinos The inverse scattering problem by an elastic inclusion Preprint on ArXiv, arXiv:1610.07376, 2016 BibTeX | PDF )
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G. Dong and O. Scherzer Nonlinear Flows for Displacement Correction and Applications in Tomography Preprint on ArXiv, 2016 BibTeX | PDF )
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P. Elbau, L. Mindrinos and O. Scherzer Inverse Problems of Combined Photoacoustic and Optical Coherence Tomography Preprint on ArXiv, arXiv:1601.03320, 2016 BibTeX | PDF )
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P. Elbau, O. Scherzer and C. Shi Singular Values of the Attenuated Photoacoustic Imaging Operator Preprint on ArXiv, arXiv:1611.05807, 2016 BibTeX | funding | PDF )
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W. Freeden and C. Gerhards Romberg Extrapolation for Euler Summation-Based Cubature on Regular Regions Technical report, University of Vienna, Austria, 2016 BibTeX | PDF )
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I. A. Frigaard, J. A. Iglesias, G. Mercier, C. Pöschl and O. Scherzer Critical yield numbers of rigid particles settling in Bingham fluids and Cheeger sets Preprint on ArXiv, arXiv:1608.01200, 2016 BibTeX | funding | PDF )
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C. Gerhards Spherical Potential Theory: Tools and Applications Preprint on ArXiv, 2016 BibTeX | PDF )
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C. Gerhards Improved Reconstrution of Dipole Directions from Spherical Magnetic Field Measurements Preprint on ArXiv, arXiv:1608.01216, 2016 BibTeX | PDF )
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C. Kirisits and O. Scherzer Convergence rates for regularization functionals with polyconvex integrands Preprint on ArXiv, arXiv:1612.06724, 2016 BibTeX | PDF )
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A. R. Patrone and O. Scherzer On a spatial-Temporal Decomposition of Optical Flow Preprint on ArXiv, 2016 BibTeX | PDF )
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A. R. Patrone, C. Valuch, U. Ansorge and O. Scherzer Dynamical optical flow of saliency maps for predicting visual attention Preprint on ArXiv, 2016 BibTeX | PDF )
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2015

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V. Albani, U. Ascher, X. Yang and J. P. Zubelli Data driven recovery of local volatility surfaces Preprint on ArXiv, 1512.07660, 2015 BibTeX | PDF )
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V. Albani, A. De Cezaro and J. Zubelli On the Choice of the Tikhonov Regularization Parameter and the Discretization Level: A Discrepancy-Based Strategy Preprint on ArXiv, 1410.6222, 2015 BibTeX | PDF )
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V. Albani, P. Elbau, M. V. de Hoop and O. Scherzer Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces Preprint on ArXiv, arxiv:1511.02950, 2015 BibTeX | funding | PDF )
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Z. Belhachmi, T. Glatz and O. Scherzer A Direct Method for Photoacoustic Tomography with Inhomogeneous Sound Speed Preprint on ArXiv, arXiv:1507.01741, 2015 BibTeX | PDF )
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Z. Belhachmi, T. Glatz and O. Scherzer Photoacoustic Tomography With Spatially Varying Compressibility and Density Preprint on ArXiv, arXiv: 1512.07411, 2015 BibTeX | PDF )
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E. Beretta, M. Muszkieta, W. Naetar and O. Scherzer A variational method for quantitative photoacoustic tomography with piecewise constant coefficients Preprint on ArXiv, arXiv:1509.04982, 2015 BibTeX | funding | PDF )
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A. Constantin, K. Kalimeris and O. Scherzer Approximations of steady periodic water waves in flows with constant vorticity Preprint on ArXiv, arXiv:1503.04032, 2015 BibTeX | PDF )
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G. Dong, T. Takacs, B. Juettler and Scherzer O. Regularization in ambient space for recovering tangential vector fields Preprint on ArXiv, arXiv:1510.07028, 2015 BibTeX | PDF )
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C. Gerhards On the Unique Reconstruction of Spherical Induced Magnetizations Preprint on ArXiv, arXiv:1507.07570, 2015 BibTeX | PDF )
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C. Gerhards, S. Pereverzyev Jr. and P. Tkachenko A Parameter Choice Strategy for the Inversion of Multiple Observations Preprint on ArXiv, arXiv:1507.02076, 2015 BibTeX | PDF )
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D. Gintides and L. Mindrinos The direct scattering problem of obliquely incident electromagnetic waves by a penetrable homogeneous cylinder Preprint on ArXiv, arXiv:1509.06268, 2015 BibTeX | PDF )
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J. A. Iglesias and C. Kirisits Convective regularization for optical flow Preprint on ArXiv, arXiv:1505.04938, 2015 BibTeX | funding | PDF )
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J. A. Iglesias, M. Rumpf and O. Scherzer Shape Aware Matching of Implicit Surfaces based on Thin Shell Energies Preprint on ArXiv, arXiv:1509.06559, 2015 BibTeX | PDF )
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L. F. Lang and O. Scherzer Optical Flow on Evolving Sphere-Like Surfaces Preprint on ArXiv, arXiv:1506.03358, 2015 BibTeX | PDF )
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A. R. Patrone and O. Scherzer On a spatial-temporal decomposition of the optical flow Preprint on ArXiv, arXiv:1505.03505, 2015 BibTeX | funding | PDF )
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K. Sadiq, O. Scherzer and A. Tamasan On the X-ray transform of planar symmetric 2-tensors Preprint on ArXiv, arXiv:1503.04322, 2015 BibTeX | PDF )
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J. Schmid, T. Glatz, B. Zabihian, M. Liu, W. Drexler and O. Scherzer Non-Equispaced Grid Sampling in Photoacoustics with a Non-Uniform FFT Preprint on ArXiv, arXiv:1510.01078, 2015 BibTeX | PDF )
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J. Schmid, T. Glatz, B. Zabihian, M. Liu, W. Drexler and O. Scherzer Computational Realization of a Non-Equidistant Grid Sampling in Photoacoustics with a Non-Uniform FFT Preprint on ArXiv, arXiv:1501.02946, 2015 BibTeX | PDF )
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2014

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R. Andreev, P. Elbau, M. V. de Hoop, L. Qiu and O. Scherzer Generalized Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces Preprint on ArXiv, arXiv:1409.7610, 2014 BibTeX | funding | PDF )
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R. Andreev, O. Scherzer and W. Zulehner Simultaneous optical flow and source estimation: space-time discretization and preconditioning RICAM Report, 2014-23, RICAM, 2014 BibTeX | funding | PDF )
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M. Bauer, M. Grasmair and C. Kirisits Optical Flow on Moving Manifolds Preprint on ArXiv, arXiv:1404.3885v1, 2014 BibTeX | PDF )
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E. Beretta, M. V. de Hoop, L. Qiu and O. Scherzer Inverse boundary value problem for the Helmholtz equation: Multi-level approach and iterative reconstruction Preprint on ArXiv, arXiv:1406.2391, 2014 BibTeX | funding | PDF )
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A. Constantin, K. Kalimeris and O. Scherzer A penalization method for calculating the flow beneath travelling water waves of large amplitude Preprint on ArXiv, arXiv:1408.2471, 2014 BibTeX | PDF )
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P. Elbau, L. Mindrinos and O. Scherzer Mathematical Modelling of Optical Coherence Tomography Preprint on ArXiv, arXiv:1403.0726, 2014 BibTeX | PDF )
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T. Glatz, O. Scherzer and T. Widlak Texture Generation for Photoacoustic Elastography Preprint on ArXiv, arXiv:1407.6982, 2014 BibTeX | funding | PDF )
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W. Naetar and O. Scherzer Quantitative photoacoustic tomography with piecewise constant material parameters Preprint on ArXiv, arXiv:1403.2620v1, 2014 BibTeX | PDF )
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A. Patrone and O. Scherzer On a Spatio-Temporal Decomposition of Optical Flow Preprint on ArXiv, 2014 BibTeX | PDF )
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T. Widlak and O. Scherzer Stability in the linearized problem of quantitative elastography Preprint on ArXiv, arXiv:1406.0291, 2014 BibTeX | PDF )
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2013

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U. Ansorge, S. Buchinger, A. Patrone, C. Valuch and O. Scherzer Visual Attention in Edited Dynamical Images Technical report, University of Vienna, Austria, 2013 BibTeX | funding | PDF )
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M. Bauer, M. Grasmair and C. Kirisits Optical Flow on Moving Surfaces Technical report, University of Vienna, Austria, 2013 BibTeX | PDF )
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E. Beretta, M. Grasmair, M. Muszkieta and O. Scherzer A variational algorithm for the detection of line segments Preprint on ArXiv, arXiv:1306.2466, 2013 BibTeX | PDF )
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C. Kirisits, L. F. Lang and O. Scherzer Optical Flow on Evolving Surfaces with an Application to the Analysis of 4D Microscopy Data Preprint on ArXiv, arXiv:1301.1576, 2013 BibTeX | PDF )
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C. Kirisits, L. F. Lang and O. Scherzer Optical Flow on Evolving Surfaces with Space and Time Regularisation Preprint on ArXiv, arXiv:1301.0322, 2013 BibTeX | PDF )
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C. Kirisits, L. F. Lang and O. Scherzer Decomposition of Optical Flow on the Sphere Preprint on ArXiv, arXiv:1312.4354, 2013 BibTeX | PDF )
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Pöschl C. and Scherzer O. Exact Solutions of One-Dimensional TGV Preprint on ArXiv, arXiv:1309.7152, 2013 BibTeX | PDF )
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T. Takacs, B. Jüttler and O. Scherzer Derivatives of Isogeometric Functions on Rationally Parametrized Patches Reports of FSP S117 - ``Geometry and Simulation, 11, University of Linz, Austria, 2013 BibTeX | PDF )
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2012

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G. Bal, W. Naetar, O. Scherzer and J. Schotland The Levenberg-Marquardt Iteration for Numerical Inversion of the Power Density Operator Preprint on ArXiv, arXiv:1204.3855v1, 2012 BibTeX | PDF )
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P. Elbau and O. Scherzer Reconstruction Formulas for a Single Scattering Model in Photoacoustic Imaging and Applications to Sectional Imaging Preprint on ArXiv, arXiv:1206.6989v1, 2012 BibTeX | PDF )
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K. Frick and M. Grasmair Regularization of Linear Ill-posed Problems by the Augmented Lagrangian Method and Variational Inequalities Preprint on ArXiv, arXiv:1204.0771v1, 2012 BibTeX | PDF )
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M. Grasmair, O. Scherzer and A. Vanhems Nonparametric instrumental regression with non-convex constraints Preprint on ArXiv, arXiv:1209.0304, 2012 BibTeX | PDF )
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K. Kalimeris and O. Scherzer Photoacoustic imaging in attenuating acoustic media based on strongly causal models Preprint on ArXiv, arXiv:1211.1516, 2012 BibTeX | PDF )
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C. Kirisits Total Variation Denoising on Hexagonal Grids Preprint on ArXiv, arXiv:1204.3855v1, 2012 BibTeX | PDF )
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2011

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M. Bauer, T. Fidler and M. Grasmair Local Uniqueness of the Circular Integral Invariant Preprint on ArXiv, arXiv:1107.4257, 2011 BibTeX | PDF )
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P. Elbau Sequential Lower Semi-Continuity of Non-Local Functionals Preprint on ArXiv, arXiv:1104.2686, 2011 BibTeX | PDF )
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P. Elbau, O. Scherzer and R. Schulze Reconstruction Formulas for Photoacoustic Sectional Imaging Preprint on ArXiv, arXiv:1109.0841v1, 2011 BibTeX | funding | PDF )
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T. Fidler, M. Grasmair and O. Scherzer Shape Reconstruction with A Priori Knowledge Based on Integral Invariants Reports of FSP S092 - ``Industrial Geometry, 113, University of Vienna, Austria, 2011 BibTeX | funding | PDF )
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M. Grasmair Linear Convergence Rates for Tikhonov Regularisation with Positively Homogeneous Functionals Reports of FSP S092 - ``Industrial Geometry, 112, University of Vienna, Austria, 2011 BibTeX | funding | PDF )
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M. Grasmair Multi-parameter Tikhonov Regularisation in Topological Spaces Preprint on ArXiv, arXiv:1109.0364v1, 2011 BibTeX | PDF )
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M. Grasmair, M. Muszkieta and O. Scherzer An Approach to the Minimization of the Mumford–Shah Functional using Γ-convergence and Topological Asymptotic Expansion Preprint on ArXiv, arXiv:1103.4722v2, 2011 BibTeX | funding | PDF )
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H. Grün, H. Altmisdört, T. Berer, G. Paltauf, G. Zangerl, M. Haltmeier and P. Burgholzer Photoacoustic Tomography with integrating fiber-based annular detectors Reports of FSP S105 - ``Photoacoustic Imaging, 34, University of Vienna, Austria, 2011 BibTeX | funding | PDF )
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M. van De Hoop, L. Qiu and O. Scherzer Local Analysis of Inverse Problems: Hölder Stability and Iterative Reconstruction Preprint on ArXiv, arXiv:1108.3570v1, 2011 BibTeX | PDF )
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A. Kirsch and O. Scherzer Simultaneous Reconstructions of Absorption Density and Wave Speed with Photoacoustic Measurements Preprint on ArXiv, arXiv:1109.5795, 2011 BibTeX | PDF )
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R. Schulze, G. Zangerl, M. Holotta, D. Meyer, F. Handle, R. Nuster, G. Paltauf and O. Scherzer On the Use of Frequency-Domain Reconstruction Algorithms for Photoacoustic Imaging Reports of FSP S105 - ``Photoacoustic Imaging, 35, University of Vienna, Austria, 2011 BibTeX | funding | PDF )
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N. Thorstensen and O. Scherzer Convergence of Variational Regularization Methods for Imaging on Riemannian Manifolds Preprint on ArXiv, arXiv:1105.2407v1, 2011 BibTeX | funding | PDF )
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T. Widlak and O. Scherzer Hybrid Tomography for Conductivity Imaging Preprint on ArXiv, arXiv:1112.2958, 2011 BibTeX | funding | PDF )
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2010

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A. De Cezaro, O. Scherzer and J. P. Zubelli Convex Regularization of Local Volatility Models from Option Prices: Convergence Analysis and Rates Reports of FSP S092 - ``Industrial Geometry, 101, University of Vienna, Austria, 2010 BibTeX | funding | PDF )
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F. Frühauf, C. Pontow and O. Scherzer Texture Enhancing Based on Variational Image Decomposition Reports of FSP S092 - ``Industrial Geometry, 108, University of Vienna, Austria, 2010 BibTeX | funding | PDF )
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M. Grasmair A Locally Adaptive Total Variation Based Algorithm for Image Restoration Reports of FSP S092 - ``Industrial Geometry, 102, University of Vienna, Austria, 2010 BibTeX | funding | PDF )
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M. Grasmair A Coarea Formula for Anisotropic Total Variation Regularisation Reports of FSP S092 - ``Industrial Geometry, 103, University of Vienna, Austria, 2010 BibTeX | funding | PDF )
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M. Grasmair Generalized Bregman Distances and Convergence Rates for Non-convex Regularization Methods Reports of FSP S092 - ``Industrial Geometry, 104, University of Vienna, Austria, 2010 BibTeX | funding | PDF )
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M. Grasmair Well-posedness Classes for Sparse Regularisation Reports of FSP S092 - ``Industrial Geometry, 107, University of Vienna, Austria, 2010 BibTeX | funding | PDF )
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M. Haltmeier and G. Zangerl Spatial Resolution in Photoacoustic Tomography: Effects of Detector Size and Detector Bandwidth Reports of FSP S105 - ``Photoacoustic Imaging, 30, University of Vienna, Austria, 2010 BibTeX | funding | PDF )
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R. Kowar and O. Scherzer Photoacoustic Imaging taking into account Attenuation Reports of FSP S105 - ``Photoacoustic Imaging, 31, University of Vienna, Austria, 2010 BibTeX | PDF )
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R. Kowar and O. Scherzer Photoacoustic Imaging taking into account Attenuation Reports of FSP S105 - ``Photoacoustic Imaging, 33, University of Vienna, Austria, 2010 BibTeX | funding | PDF )
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R. Nuster, G. Zangerl, M. Haltmeier and G. Paltauf Full field detection in photoacoustic tomography Reports of FSP S105 - ``Photoacoustic Imaging, 22, University of Vienna, Austria, 2010 BibTeX | funding | PDF )
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C. Pöschl, E. Resmerita and O. Scherzer Discretization of variational regularization in Banach spaces Reports of FSP S105 - ``Photoacoustic Imaging, 24, University of Vienna, Austria, 2010 BibTeX | funding | PDF )
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C. Pöschl and O. Scherzer Distance Measures and Applications to Multi-Modal Variational Imaging Reports of FSP S105 - ``Photoacoustic Imaging, 23, University of Vienna, Austria, 2010 BibTeX | funding | PDF )
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2009

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J. Abhau, O. Aichholzer, S. Colutto, B. Kornberger and O. Scherzer Shape Spaces via Medial Axis Transforms for Segmentation of 3D Voxel Data Reports of FSP S092 - ``Industrial Geometry, 92, University of Vienna, Austria, 2009 BibTeX | funding | PDF )
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J. Abhau, Z. Belhachmi and O. Scherzer On a Decomposition Model for Optical Flow Reports of FSP S105 - ``Photoacoustic Imaging, 15, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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C. Fiegl and Pontow C. Online scheduling of pick-up and delivery tasks in hospitals Technical report, ETH Z"urich, 2009 BibTeX | PDF )
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K. Frick and O. Scherzer Regularization of Ill-Posed Linear Equations by the Non-Stationary Augmented Lagrangian Method Reports of FSP S105 - ``Photoacoustic Imaging, 20, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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M. Grasmair Locally Adaptive Total Variation Regularization Reports of FSP S092 - ``Industrial Geometry, 81, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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M. Grasmair Non-convex Sparse Regularisation Reports of FSP S092 - ``Industrial Geometry, 86, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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M. Grasmair, M. Haltmeier and O. Scherzer Necessary and Sufficient Conditions for Linear Convergence of l1-Regularization Reports of FSP S105 - ``Photoacoustic Imaging, 18, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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M. Grasmair, M. Haltmeier and O. Scherzer The Residual Method for Regularizing Ill-Posed Problems Reports of FSP S105 - ``Photoacoustic Imaging, 14, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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M. Grasmair, M. Haltmeier and O. Scherzer Sparsity in Inverse Geophysical Problems Reports of FSP S105 - ``Photoacoustic Imaging, 21, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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M. Grasmair and F. Lenzen Anisotropic Total Variation Filtering Reports of FSP S092 - ``Industrial Geometry, 84, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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M. Holotta, R. Esterhammer, P. Torbica, J. Völkl, C. Kremser, W. Jaschke, H. Grossauer, M. Haltmeier, O. Scherzer, R. Nuster, G. Paltauf and P. Burgholzer Photoacoustic Tomography of Small Animals and Organs Reports of FSP S105 - ``Photoacoustic Imaging, 13, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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R. Kowar Causality analysis of waves and wave equations obeying attenuation Reports of FSP S105 - ``Photoacoustic Imaging, 6, University of Innsbruck, Austria, 2009 BibTeX | PDF )
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R. Kowar, O. Scherzer and X. Bonnefond Frequency Dependent Attenuation Revisited Reports of FSP S105 - ``Photoacoustic Imaging, 16, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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R. Kowar, O. Scherzer and X. Bonnefond Causality Analysis of Frequency Dependent Wave Attenuation Preprint on ArXiv, arXiv:0906.4678v2, 2009 BibTeX | funding | PDF )
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F. Lenzen and O. Scherzer A Geometric PDE for Interpolation of M-channel Data Reports of FSP S092 - ``Industrial Geometry, 82, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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F. Lenzen and O. Scherzer Morphological Partial Differential Equations for Optical Flow Computations and Applications to Image Interpolation Reports of FSP S092 - ``Industrial Geometry, 85, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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R. Nuster, Hollota M., H. Grossauer, P. Burgholzer and G. Paltauf Photoacoustic micro-tomography using optical interferometric detection Reports of FSP S105 - ``Photoacoustic Imaging, 19, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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C. Pöschl, J. Modersitzki and O. Scherzer A Variational Setting for Volume Constrained Image Registration Reports of FSP S092 - ``Industrial Geometry, 83, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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C. Pontow and O. Scherzer A Derivative Free Approach for Total Variation Regularization Preprint on ArXiv, arXiv:0911.1293, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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O. Scherzer and B. Walch Sparsity Regularization for Radon Measures Reports of FSP S105 - ``Photoacoustic Imaging, 10, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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G. Zangerl and O. Scherzer Exact Reconstruction in Photoacoustic Tomography with Circular Integrating Detectors II: Spherical Geometry Reports of FSP S105 - ``Photoacoustic Imaging, 17, University of Innsbruck, Austria, 2009 BibTeX | funding | PDF )
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2008

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J. Abhau and O. Scherzer A Combinatorial Method for Topology Adaptations in 3D Deformable Models Reports of FSP S092 - ``Industrial Geometry, 72, University of Innsbruck, Austria, 2008 BibTeX | funding | PDF )
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S. Colutto, F. Frühauf, M. Fuchs and O. Scherzer The CMA-ES on Riemannian manifolds to reconstruct shapes in 3D voxel images Reports of FSP S092 - ``Industrial Geometry, 70, University of Innsbruck, Austria, 2008 BibTeX | funding | PDF )
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A. De Cezaro, M. Haltmeier, A. Leitao and O. Scherzer On Steepest-Descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations Preprint on ArXiv, arXiv:0801.3088v3, University of Innsbruck, Austria, 2008 BibTeX | PDF )
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P. Elbau, M. Grasmair, F. Lenzen and O. Scherzer Evolution by Non-Convex Energy Functionals Reports of FSP S092 - ``Industrial Geometry, 75, University of Innsbruck, Austria, 2008 BibTeX | funding | PDF )
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M. Fuchs and S. Gerber Variational Shape Detection in Microscope Images Based on Joint Shape and Image Feature Statistics Reports of FSP S092 - ``Industrial Geometry, 69, University of Innsbruck, Austria, 2008 BibTeX | funding | PDF )
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M. Fuchs and S. Gerber Energy Training for Variational Shape Detection Reports of FSP S092 - ``Industrial Geometry, 66, University of Innsbruck, Austria, 2008 BibTeX | PDF )
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M. Fuchs, B. Jüttler, O. Scherzer and H. Yang Shape Metrics Based on Elastic Deformations Reports of FSP S092 - ``Industrial Geometry, 71, University of Innsbruck, Austria, 2008 BibTeX | funding | PDF )
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B. Gebauer and O. Scherzer Impedance-Acoustic Tomography Reports of FSP S105 - ``Photoacoustic Imaging, 2, University of Innsbruck, Austria, 2008 BibTeX | funding | PDF )
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M. Grasmair Well-posedness and Convergence Rates for Sparse Regularization with Sublinear lq Penalty Term Reports of FSP S092 - ``Industrial Geometry, 74, University of Innsbruck, Austria, 2008 BibTeX | funding | PDF )
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M. Grasmair, M. Haltmeier and O. Scherzer Sparse Regularization with lq Penalty Term Reports of FSP S105 - ``Photoacoustic Imaging, 1, University of Innsbruck, Austria, 2008 BibTeX | funding | PDF )
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H. Grossauer and P. Thoman GPU-based Multigrid: Real-Time Performance in High Resolution Nonlinear Image Processing Reports of FSP S092 - ``Industrial Geometry, 68, University of Innsbruck, Austria, 2008 BibTeX | funding | PDF )
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M. Haltmeier and T. Fidler Mathematical Challenges Arising in Thermoacoustic Tomography with Line Detectors Preprint on ArXiv, arXiv:math/0610155v4, University of Innsbruck, Austria, 2008 BibTeX | funding | PDF )
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M. Haltmeier, A. Leitao and E. Resmerita On regularization methods of EM-Kaczmarz type Reports of FSP S105 - ``Photoacoustic Imaging, 5, University of Innsbruck, Austria, 2008 BibTeX | funding | PDF )
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M. Haltmeier, O. Scherzer and G. Zangerl A Reconstruction Algorithm for Photoacoustic Imaging based on the Nonuniform FFT Reports of FSP S105 - ``Photoacoustic Imaging, 3, University of Innsbruck, Austria, 2008 BibTeX | funding | PDF )
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G. Zangerl, O. Scherzer and M. Haltmeier Exact Series Reconstruction in Photoacoustic Tomography with Circular Integrating Detectors Reports of FSP S105 - ``Photoacoustic Imaging, 4, University of Innsbruck, Austria, 2008 BibTeX | funding | PDF )
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2007

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T. Fidler, M. Grasmair, H. Pottmann and O. Scherzer Inverse problems of integral invariants and shape signatures Reports of FSP S092 - ``Industrial Geometry, 40, University of Innsbruck, Austria, 2007 BibTeX | funding | PDF )
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T. Fidler, M. Grasmair and O. Scherzer Identifiability and Reconstruction of Shapes from Integral Invariants Reports of FSP S092 - ``Industrial Geometry, 58, University of Innsbruck, Austria, 2007 BibTeX | funding | PDF )
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M. Fuchs, B. Jüttler, O. Scherzer and H. Yang Combined evolution of level sets and B-spline curves for imaging Reports of FSP S092 - ``Industrial Geometry, 41, University of Innsbruck, Austria, 2007 BibTeX | funding | PDF )
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M. Fuchs and O. Scherzer Regularized Reconstruction of Shapes with Statistical A Priori Knowledge Reports of FSP S092 - ``Industrial Geometry, 51, University of Innsbruck, Austria, 2007 BibTeX | funding | PDF )
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M. Fuchs and O. Scherzer Segmentation of Biologic Image Data with A-Priori Knowledge Reports of FSP S092 - ``Industrial Geometry, 52, University of Innsbruck, Austria, 2007 BibTeX | funding | PDF )
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M. Grasmair Convex Regularization Methods with Non-Uniform Total Variation Penalization Reports of FSP S092 - ``Industrial Geometry, 57, University of Innsbruck, Austria, 2007 BibTeX | funding | PDF )
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M. Grasmair and A. Obereder Generalizations of the taut string method Reports of FSP S092 - ``Industrial Geometry, 53, University of Innsbruck, Austria, 2007 BibTeX | funding | PDF )
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2006

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J. Abhau, W. Hinterberger and Scherzer O. Segmenting Surfaces of Arbitrary Topology: A Two-Step Approach Reports of FSP S092 - ``Industrial Geometry, 33, University of Innsbruck, Austria, 2006 BibTeX | funding | PDF )
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M. Burger, K. Frick, S. Osher and O. Scherzer Inverse Total Variation Flow Reports of FSP S092 - ``Industrial Geometry, 31, University of Innsbruck, Austria, 2006 BibTeX | funding | PDF )
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R. Feichtinger, M. Fuchs, B. Jüttler, O. Scherzer and H. Yang Dual Evolution of Planar Parametric Spline Curves and T–spline Level Sets Reports of FSP S092 - ``Industrial Geometry, 24, University of Innsbruck, Austria, 2006 BibTeX | funding | PDF )
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K. Frick and O. Scherzer Convex Inverse Scale Spaces Reports of FSP S092 - ``Industrial Geometry, 32, University of Innsbruck, Austria, 2006 BibTeX | funding | PDF )
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F. Frühauf, B. Gebauer and O. Scherzer Detecting interfaces in a parabolic-elliptic problem from surface measurements Reports of FSP S092 - ``Industrial Geometry, 35, University of Innsbruck, Austria, 2006 BibTeX | funding | PDF )
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M. Grasmair Dual settings for total variation regularization Institutsbericht, Fachbereich Mathematik und Informatik, 48, University of Innsbruck, Austria, 2006 BibTeX | PDF )
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M. Haltmeier, O. Scherzer and A. Leitao Tikhonov and Iterative Regularization Methods for Embedded Inverse Problems Reports of FSP S092 - ``Industrial Geometry, 18, University of Innsbruck, Austria, 2006 BibTeX | funding | PDF )
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B. Hofmann, B. Kaltenbacher, C. Pöschl and O. Scherzer A Convergence Rates Result in Banach Spaces with Non-Smooth Operators Reports of FSP S092 - ``Industrial Geometry, 37, University of Innsbruck, Austria, 2006 BibTeX | funding | PDF )
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R. Kowar, M. Haltmeier and T. Riser Rapid location of avalanche victims via ground penetrating radar from a helicopter. Part 1: Simulation of diffraction patterns in radargrams Institutsbericht, Fachbereich Mathematik und Informatik, 40, University of Innsbruck, Austria, 2006 BibTeX | PDF )
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A. Obereder, O. Scherzer and A. Kovac Bivariate density estimation using BV regularisation Reports of FSP S092 - ``Industrial Geometry, 36, University of Innsbruck, Austria, 2006 BibTeX | funding | PDF )
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C. Pöschl and O. Scherzer Characterization of Minimizers of Convex Regularization Functionals Reports of FSP S092 - ``Industrial Geometry, 34, University of Innsbruck, Austria, 2006 BibTeX | funding | PDF )
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2005

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F. Frühauf, H. Grossauer and O. Scherzer Solving Constraint Ill-Posed Problems Using Ginzburg-Landau Regularization Functionals Reports of FSP S092 - ``Industrial Geometry, 16, University of Innsbruck, Austria, 2005 BibTeX | PDF )
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H. Yang, M. Fuchs, B. Jüttler and O. Scherzer Evolution of T-spline Level Sets with Distance Field Constraints for Geometry Reconstruction and Image Segmentation Reports of FSP S092 - ``Industrial Geometry, 1, University of Innsbruck, Austria, 2005 BibTeX | funding | PDF )
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2003

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H. Grossauer A combined PDE and Texture synthesis approach to inpainting Institutsbericht, Fachbereich Mathematik und Informatik, 14, University of Innsbruck, Austria, 2003 BibTeX | PDF )
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1999

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O. Scherzer, A. Schoisswohl and A. Kratochwil Compression of 3D Ultrasound Data Using Wavelet Bases on Intervals Technical report, University of Vienna, Austria, 1999 BibTeX | PDF )
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1998

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O. Scherzer, A. Schoisswohl and A. Kratochwil Wavelet compression of 3D Ultrasound data Technical report, 1998 BibTeX | PDF )
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Contact

Computational Science Center
Faculty of Mathematics
University of Vienna

Oskar-Morgenstern-Platz 1
1090 Wien
T: +43-1-4277-55771