The use of Morozov's discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems. - Otmar Scherzer (Computing, 1993)

Spraying the Perfect Billet. - Ian A. Frigaard; Otmar Scherzer (SIAM J. Appl. Math., 1997)

Denoising with Higher Order Derivatives of Bounded Variation and an Application to Parameter Estimation. - Otmar Scherzer (Computing, 1998)

An iterative multi level algorithm for solving nonlinear ill-posed problems. - Otmar Scherzer (Numerische Mathematik, 1998)

Error Analysis of an Equation Error Method for the Identification of the Diffusion Coefficient in a Quasi-linear Parabolic Differential Equation. - Martin Hanke; Otmar Scherzer (SIAM J. Appl. Math., 1998)

Regularization for Curve Representations: Uniform Convergence for Discontinuous Solutions of Ill-Posed Problems. - Andreas Neubauer; Otmar Scherzer (SIAM J. Appl. Math., 1998)

Scale-Space Properties of Regularization Methods. - Esther Radmoser; Otmar Scherzer; Joachim Weickert (Scale-Space, 1999)

Relations Between Regularization and Diffusion Filtering. - Otmar Scherzer; Joachim Weickert (J. Math. Imaging Vis., 2000)

Scale-Space Properties of Nonstationary Iterative Regularization Methods. - Esther Radmoser; Otmar Scherzer; Joachim Weickert (J. Vis. Commun. Image Represent., 2000)

The Effects of Yield Stress Variation on Uniaxial Exchange Flows of Two Bingham Fluids in a Pipe. - Ian A. Frigaard; Otmar Scherzer (SIAM J. Appl. Math., 2000)

Inverse Scale Space Theory for Inverse Problems. - Otmar Scherzer; Charles W. Groetsch (Scale-Space, 2001)

Wavelets with Scale Dependent Properties. - Peter Paule; Otmar Scherzer; Armin Schoisswohl (SNSC, 2001)

Models for Image Interpolation Based on the Optical Flow. - Walter Hinterberger; Otmar Scherzer (Computing, 2001)

The Construction of Orthonormal Wavelets Using Symbolic Methods and a Matrix Analytical Approach for Wavelets on the Interval. - Frédéric Chyzak; Peter Paule; Otmar Scherzer; Armin Schoisswohl; Burkhard Zimmermann (Exp. Math., 2001)

Regularization Methods for Blind Deconvolution and Blind Source Separation Problems. - Martin Burger 001; Otmar Scherzer (Math. Control. Signals Syst., 2001)

Fast Parallel Algorithms for a Broad Class of Nonlinear Variational Diffusion Approaches. - Joachim Weickert; Josef Heers; Christoph Schnörr; Karel J. Zuiderveld; Otmar Scherzer; H. Siegfried Stiehl (Real Time Imaging, 2001)

Inverse Problems Light: Numerical Differentiation. - Martin Hanke; Otmar Scherzer (Am. Math. Mon., 2001)

A Fast and Robust Algorithm for 2D/3D Panorama Ultrasound Data. - Otmar Scherzer; Armin Schoisswohl (Real Time Imaging, 2002)

Using the Complex Ginzburg-Landau Equation for Digital Inpainting in 2D and 3D. - Harald Grossauer; Otmar Scherzer (Scale-Space, 2003)

Tube Methods for BV Regularization. - Walter Hinterberger; Michael Hintermüller; Karl Kunisch; Markus von Oehsen; Otmar Scherzer (J. Math. Imaging Vis., 2003)

On Effective Stopping Time Selection for Visco-Plastic Nonlinear BV Diffusion Filters Used in Image Denoising. - G. Ngwa; Ian A. Frigaard; Otmar Scherzer (SIAM J. Appl. Math., 2003)

A Non-convex PDE Scale Space. - Markus Grasmair; Frank Lenzen; Andreas Obereder; Otmar Scherzer; Matthias Fuchs (Scale-Space, 2005)

Analysis of Iterative Methods for Solving a Ginzburg-Landau Equation. - Alfio Borzì; Harald Grossauer; Otmar Scherzer (Int. J. Comput. Vis., 2005)

Taut-String Algorithm and Regularization Programs with G-Norm Data Fit. - Otmar Scherzer (J. Math. Imaging Vis., 2005)

Analysis of Regularization Methods for the Solution of Ill-Posed Problems Involving Discontinuous Operators. - Florian Frühauf; Otmar Scherzer; Antonio Leitão (SIAM J. Numer. Anal., 2005)

Evolution of T-Spline Level Sets with Distance Field Constraints for Geometry Reconstruction and Image Segmentation. - Huaiping Yang; Matthias Fuchs; Bert Jüttler; Otmar Scherzer (SMI, 2006)

Variational Methods on the Space of Functions of Bounded Hessian for Convexification and Denoising. - Walter Hinterberger; Otmar Scherzer (Computing, 2006)

Convex Inverse Scale Spaces. - Klaus Frick; Otmar Scherzer (SSVM, 2007)

Variational and PDE level set methods. - Bert Jüttler; Helmut Pottmann; Otmar Scherzer (Computing, 2007)

Bivariate density estimation using BV regularisation. - Andreas Obereder; Otmar Scherzer; Arne Kovac (Comput. Stat. Data Anal., 2007)

Inverse Total Variation Flow. - Martin Burger 001; Klaus Frick; Stanley J. Osher; Otmar Scherzer (Multiscale Model. Simul., 2007)

Detecting Interfaces in a Parabolic-Elliptic Problem from Surface Measurements. - Florian Frühauf; Bastian Gebauer; Otmar Scherzer (SIAM J. Numer. Anal., 2007)

Iterative Regularization Methods for Nonlinear Ill-Posed Problems. - Barbara Kaltenbacher; Andreas Neubauer; Otmar Scherzer (de Gruyter, 2008)

An efficient topology adaptation system for parametric active contour segmentation of 3D images. - Jochen Abhau; Otmar Scherzer (Image Processing, 2008)

On Steepest-Descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations. - A. De Cezaro; Markus Haltmeier; Antonio Leitão; Otmar Scherzer (Appl. Math. Comput., 2008)

Dual evolution of planar parametric spline curves and T-spline level sets. - Robert Feichtinger; Matthias Fuchs; Bert Jüttler; Otmar Scherzer; Huaiping Yang (Comput. Aided Des., 2008)

Regularized Reconstruction of Shapes with Statistical a priori Knowledge. - Matthias Fuchs; Otmar Scherzer (Int. J. Comput. Vis., 2008)

Impedance-Acoustic Tomography. - Bastian Gebauer; Otmar Scherzer (SIAM J. Appl. Math., 2008)

Variational Methods in Imaging. - Otmar Scherzer; Markus Grasmair; Harald Grossauer; Markus Haltmeier; Frank Lenzen (Springer, 2009)

On a Decomposition Model for Optical Flow. - Jochen Abhau; Zakaria Belhachmi; Otmar Scherzer (EMMCVPR, 2009)

A Geometric PDE for Interpolation of M-Channel Data. - Frank Lenzen; Otmar Scherzer (SSVM, 2009)

Sparsity Regularization for Radon Measures. - Otmar Scherzer; Birgit Walch (SSVM, 2009)

Shape Metrics Based on Elastic Deformations. - Matthias Fuchs; Bert Jüttler; Otmar Scherzer; Huaiping Yang (J. Math. Imaging Vis., 2009)

Experiments and Algorithms to Detect Snow Avalanche Victims Using Airborne Ground-Penetrating Radar. - Florian Frühauf; Achim Heilig; Martin Schneebeli; Wolfgang Fellin; Otmar Scherzer (IEEE Trans. Geosci. Remote. Sens., 2009)

A Reconstruction Algorithm for Photoacoustic Imaging Based on the Nonuniform FFT. - Markus Haltmeier; Otmar Scherzer; Gerhard Zangerl (IEEE Trans. Medical Imaging, 2009)

A Combinatorial Method for Topology Adaptations in 3D Deformable Models. - Jochen Abhau; Otmar Scherzer (Int. J. Comput. Vis., 2010)

The CMA-ES on Riemannian Manifolds to Reconstruct Shapes in 3-D Voxel Images. - Sebastian Colutto; Florian Frühauf; Matthias Fuchs; Otmar Scherzer (IEEE Trans. Evol. Comput., 2010)

Non-Local Functionals for Imaging. - Jérôme Boulanger; Peter Elbau; Carsten Pontow; Otmar Scherzer (Fixed-Point Algorithms for Inverse Problems in Science and Engineering, 2011)

The residual method for regularizing ill-posed problems. - Markus Grasmair; Markus Haltmeier; Otmar Scherzer (Appl. Math. Comput., 2011)

Partial Differential Equations for Zooming, Deinterlacing and Dejittering. - Frank Lenzen; Otmar Scherzer (Int. J. Comput. Vis., 2011)

Simultaneous Reconstructions of Absorption Density and Wave Speed with Photoacoustic Measurements. - Andreas Kirsch 001; Otmar Scherzer (SIAM J. Appl. Math., 2012)

Shape Reconstruction with A Priori Knowledge Based on Integral Invariants. - Thomas Fidler; Markus Grasmair; Otmar Scherzer (SIAM J. Imaging Sci., 2012)

Scale and Edge Detection with Topological Derivatives. - Guozhi Dong; Markus Grasmair; Sung Ha Kang; Otmar Scherzer (SSVM, 2013)

Optical Flow on Evolving Surfaces with an Application to the Analysis of 4D Microscopy Data. - Clemens Kirisits; Lukas F. Lang; Otmar Scherzer (SSVM, 2013)

A Thin Shell Approach to the Registration of Implicit Surfaces. - José A. Iglesias 002; Benjamin Berkels; Martin Rumpf; Otmar Scherzer (VMV, 2013)

Decomposition of Optical Flow on the Sphere. - Clemens Kirisits; Lukas F. Lang; Otmar Scherzer (CoRR, 2013)

Visual Attention in Edited Dynamical Images. - Ulrich Ansorge; Shelley Buchinger; Christian Valuch; Aniello Raffaele Patrone; Otmar Scherzer (SIGMAP, 2014)

The effect of cinematic cuts on human attention. - Christian Valuch; Ulrich Ansorge; Shelley Buchinger; Aniello Raffaele Patrone; Otmar Scherzer (TVX, 2014)

Derivatives of isogeometric functions on n-dimensional rational patches in Rd. - Thomas Takacs; Bert Jüttler; Otmar Scherzer (Comput. Aided Geom. Des., 2014)

Quantitative Photoacoustic Tomography with Piecewise Constant Material Parameters. - Wolf Naetar; Otmar Scherzer (SIAM J. Imaging Sci., 2014)

Infinite Dimensional Optimization Models and PDEs for Dejittering. - Guozhi Dong; Aniello Raffaele Patrone; Otmar Scherzer; Ozan Öktem (SSVM, 2015)

Optical Flow on Evolving Sphere-Like Surfaces. - Lukas F. Lang; Otmar Scherzer (CoRR, 2015)

On a spatial-temporal decomposition of the optical flow. - Aniello Raffaele Patrone; Otmar Scherzer (CoRR, 2015)

Texture Generation for Photoacoustic Elastography. - Thomas Glatz; Otmar Scherzer; Thomas Widlak (J. Math. Imaging Vis., 2015)

Optical Flow on Evolving Surfaces with Space and Time Regularisation. - Clemens Kirisits; Lukas F. Lang; Otmar Scherzer (J. Math. Imaging Vis., 2015)

An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints. - Maarten V. de Hoop; Lingyun Qiu; Otmar Scherzer (Numerische Mathematik, 2015)

A Penalization Method for Calculating the Flow Beneath Traveling Water Waves of Large Amplitude. - Adrian Constantin; Konstantinos Kalimeris; Otmar Scherzer (SIAM J. Appl. Math., 2015)

Modelling the Effect of Focusing Detectors in Photoacoustic Sectional Imaging. - Peter Elbau; Otmar Scherzer (SIAM J. Imaging Sci., 2015)

Mathematical Methods of Optical Coherence Tomography. - Peter Elbau; Leonidas Mindrinos; Otmar Scherzer (Handbook of Mathematical Methods in Imaging, 2015)

Distance Measures and Applications to Multimodal Variational Imaging. - Christiane Pöschl; Otmar Scherzer (Handbook of Mathematical Methods in Imaging, 2015)

Dynamical optical flow of saliency maps for predicting visual attention. - Aniello Raffaele Patrone; Christian Valuch; Ulrich Ansorge; Otmar Scherzer (CoRR, 2016)

Inverse Boundary Value Problem For The Helmholtz Equation: Quantitative Conditional Lipschitz Stability Estimates. - Elena Beretta; Maarten V. de Hoop; Florian Faucher; Otmar Scherzer (SIAM J. Math. Anal., 2016)

Nonlinear Flows for Displacement Correction and Applications in Tomography. - Guozhi Dong; Otmar Scherzer (SSVM, 2017)

Critical Yield Numbers of Rigid Particles Settling in Bingham Fluids and Cheeger Sets. - Ian A. Frigaard; José A. Iglesias 002; Gwenael Mercier; Christiane Pöschl; Otmar Scherzer (SIAM J. Appl. Math., 2017)

Shape-Aware Matching of Implicit Surfaces Based on Thin Shell Energies. - José A. Iglesias 002; Martin Rumpf; Otmar Scherzer (Found. Comput. Math., 2018)

Lamé Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems. - Simon Hubmer; Ekaterina Sherina; Andreas Neubauer; Otmar Scherzer (SIAM J. Imaging Sci., 2018)

Preservation of Piecewise Constancy under TV Regularization with Rectilinear Anisotropy. - Clemens Kirisits; Otmar Scherzer; Eric Setterqvist (SSVM, 2019)

Inverse Problems of Trapped Objects. - Peter Elbau; Monika Ritsch-Marte; Otmar Scherzer; Denise Schmutz (CoRR, 2019)

The tangential cone condition for some coefficient identification model problems in parabolic PDEs. - Barbara Kaltenbacher; Tram Thi Ngoc Nguyen; Otmar Scherzer (CoRR, 2019)

Data driven regularization by projection. - Andrea Aspri; Yury Korolev; Otmar Scherzer (CoRR, 2019)

Regularization with Metric Double Integrals of Functions with Values in a Set of Vectors. - René Ciak; Melanie Melching; Otmar Scherzer (J. Math. Imaging Vis., 2019)

Invariant φ-Minimal Sets and Total Variation Denoising on Graphs. - Clemens Kirisits; Otmar Scherzer; Eric Setterqvist (SIAM J. Imaging Sci., 2019)

Displacement field estimation from OCT images utilizing speckle information with applications in quantitative elastography. - Ekaterina Sherina; Lisa Krainz; Simon Hubmer; Wolfgang Drexler; Otmar Scherzer (CoRR, 2020)

Analysis of regularization methods for the solution of ill-posed problems involving discontinuous operators. - Florian Frühauf; Otmar Scherzer; A. Leitao (CoRR, 2020)

On the relation between constraint regularization, level sets, and shape optimization. - A. Leitao; Otmar Scherzer (CoRR, 2020)

Regularization of systems of nonlinear ill-posed equations: I. Convergence Analysis. - Markus Haltmeier; A. Leitao; Otmar Scherzer (CoRR, 2020)

Regularization of systems of nonlinear ill-posed equations: II. Applications. - Markus Haltmeier; Richard Kowar; A. Leitao; Otmar Scherzer (CoRR, 2020)

Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography. - Andrea Aspri; Elena Beretta; Otmar Scherzer; Monika Muszkieta (SIAM J. Imaging Sci., 2020)

Challenges for Optical Flow Estimates in Elastography. - Ekaterina Sherina; Lisa Krainz; Simon Hubmer; Wolfgang Drexler; Otmar Scherzer (SSVM, 2021)

Data driven reconstruction using frames and Riesz bases. - Andrea Aspri; Leon Frischauf; Yury Korolev; Otmar Scherzer (CoRR, 2021)

Fourier reconstruction for diffraction tomography of an object rotated into arbitrary orientations. - Clemens Kirisits; Michael Quellmalz; Monika Ritsch-Marte; Otmar Scherzer; Eric Setterqvist; Gabriele Steidl (CoRR, 2021)

Universal approximation properties of shallow quadratic neural networks. - Leon Frischauf; Otmar Scherzer; Cong Shi (CoRR, 2021)

Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion. - Florian Faucher; Clemens Kirisits; Michael Quellmalz; Otmar Scherzer; Eric Setterqvist (CoRR, 2021)

Uncertainty-Aware Blob Detection with an Application to Integrated-Light Stellar Population Recoveries. - Prashin Jethwa; Fabian Parzer; Otmar Scherzer; Glenn van de Ven (CoRR, 2022)

Convergence Rates of First- and Higher-Order Dynamics for Solving Linear Ill-Posed Problems. - Radu Ioan Bot; Guozhi Dong; Peter Elbau; Otmar Scherzer (Found. Comput. Math., 2022)

On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems. - Fabian Parzer; Otmar Scherzer (Numerische Mathematik, 2022)

Computed Origami Tomography. - Axel Kittenberger; Leonidas Mindrinos; Otmar Scherzer (SIAM Rev., 2022)

Analysis of Generalized Iteratively Regularized Landweber Iterations driven by data. - Andrea Aspri; Otmar Scherzer (CoRR, 2023)

Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty. - Florian Faucher; Otmar Scherzer (J. Comput. Phys., 2023)

Motion detection in diffraction tomography by common circle methods. - Michael Quellmalz; Peter Elbau; Otmar Scherzer; Gabriele Steidl (Math. Comput., 2023)

Quadratic neural networks for solving inverse problems. - Leon Frischauf; Otmar Scherzer; Cong Shi (CoRR, 2024)

Classification with neural networks with quadratic decision functions. - Leon Frischauf; Otmar Scherzer; Cong Shi (CoRR, 2024)

Diffraction Tomography for a Generalized Incident Field. - Clemens Kirisits; Noemi Naujoks; Otmar Scherzer (CoRR, 2024)

Using the Transport of Intensity and the Transport of Phase Equation for Phase Retrieval. - Clemens Kirisits; Kemal Raik; Otmar Scherzer; Christina Strohmenger; Jikai Yan (CoRR, 2024)

Computational inverse scattering with internal sources: a reproducing kernel Hilbert space approach. - Yakun Dong; Kamran Sadiq; Otmar Scherzer; John C. Schotland (CoRR, 2024)

Spectral Function Space Learning and Numerical Linear Algebra Networks for Solving Linear Inverse Problems. - Andrea Aspri; Leon Frischauf; Otmar Scherzer (CoRR, 2024)

Vertex characterization via second-order topological derivatives. - Peter Gangl; Bochra Mejri; Otmar Scherzer (CoRR, 2024)

An Inversion Scheme for Elastic Diffraction Tomography Based on Mode Separation. - Bochra Mejri; Otmar Scherzer (SIAM J. Appl. Math., 2024)

Uncertainty Quantification for Scale-Space Blob Detection. - Fabian Parzer; Clemens Kirisits; Otmar Scherzer (J. Math. Imaging Vis., 2024)

Deciphering scrolls with tomography: A training experiment. - Sonia Foschiatti; Axel Kittenberger; Otmar Scherzer (CoRR, 2025)