Otmar Scherzer

Orcid: 0000-0001-9378-7452

Affiliations:
  • University of Vienna, Austria


According to our database1, Otmar Scherzer authored at least 109 papers between 1993 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Uncertainty Quantification for Scale-Space Blob Detection.
J. Math. Imaging Vis., August, 2024

An Inversion Scheme for Elastic Diffraction Tomography Based on Mode Separation.
SIAM J. Appl. Math., February, 2024

Vertex characterization via second-order topological derivatives.
CoRR, 2024

Spectral Function Space Learning and Numerical Linear Algebra Networks for Solving Linear Inverse Problems.
CoRR, 2024

Computational inverse scattering with internal sources: a reproducing kernel Hilbert space approach.
CoRR, 2024

Using the Transport of Intensity and the Transport of Phase Equation for Phase Retrieval.
CoRR, 2024

Diffraction Tomography for a Generalized Incident Field.
CoRR, 2024

Classification with neural networks with quadratic decision functions.
CoRR, 2024

Quadratic neural networks for solving inverse problems.
CoRR, 2024

2023
Motion detection in diffraction tomography by common circle methods.
Math. Comput., June, 2023

Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty.
J. Comput. Phys., 2023

Analysis of Generalized Iteratively Regularized Landweber Iterations driven by data.
CoRR, 2023

2022
Computed Origami Tomography.
SIAM Rev., 2022

On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems.
Numerische Mathematik, 2022

Convergence Rates of First- and Higher-Order Dynamics for Solving Linear Ill-Posed Problems.
Found. Comput. Math., 2022

Uncertainty-Aware Blob Detection with an Application to Integrated-Light Stellar Population Recoveries.
CoRR, 2022

2021
Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion.
CoRR, 2021

Universal approximation properties of shallow quadratic neural networks.
CoRR, 2021

Fourier reconstruction for diffraction tomography of an object rotated into arbitrary orientations.
CoRR, 2021

Data driven reconstruction using frames and Riesz bases.
CoRR, 2021

Challenges for Optical Flow Estimates in Elastography.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2021

2020
Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography.
SIAM J. Imaging Sci., 2020

Regularization of systems of nonlinear ill-posed equations: II. Applications.
CoRR, 2020

Regularization of systems of nonlinear ill-posed equations: I. Convergence Analysis.
CoRR, 2020

On the relation between constraint regularization, level sets, and shape optimization.
CoRR, 2020

Analysis of regularization methods for the solution of ill-posed problems involving discontinuous operators.
CoRR, 2020

Displacement field estimation from OCT images utilizing speckle information with applications in quantitative elastography.
CoRR, 2020

2019
Invariant φ-Minimal Sets and Total Variation Denoising on Graphs.
SIAM J. Imaging Sci., 2019

Regularization with Metric Double Integrals of Functions with Values in a Set of Vectors.
J. Math. Imaging Vis., 2019

Data driven regularization by projection.
CoRR, 2019

The tangential cone condition for some coefficient identification model problems in parabolic PDEs.
CoRR, 2019

Inverse Problems of Trapped Objects.
CoRR, 2019

Preservation of Piecewise Constancy under TV Regularization with Rectilinear Anisotropy.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2019

2018
Lamé Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems.
SIAM J. Imaging Sci., 2018

Shape-Aware Matching of Implicit Surfaces Based on Thin Shell Energies.
Found. Comput. Math., 2018

2017
Critical Yield Numbers of Rigid Particles Settling in Bingham Fluids and Cheeger Sets.
SIAM J. Appl. Math., 2017

Nonlinear Flows for Displacement Correction and Applications in Tomography.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2017

2016
Inverse Boundary Value Problem For The Helmholtz Equation: Quantitative Conditional Lipschitz Stability Estimates.
SIAM J. Math. Anal., 2016

Dynamical optical flow of saliency maps for predicting visual attention.
CoRR, 2016

2015
Distance Measures and Applications to Multimodal Variational Imaging.
Proceedings of the Handbook of Mathematical Methods in Imaging, 2015

Mathematical Methods of Optical Coherence Tomography.
Proceedings of the Handbook of Mathematical Methods in Imaging, 2015

Modelling the Effect of Focusing Detectors in Photoacoustic Sectional Imaging.
SIAM J. Imaging Sci., 2015

A Penalization Method for Calculating the Flow Beneath Traveling Water Waves of Large Amplitude.
SIAM J. Appl. Math., 2015

An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints.
Numerische Mathematik, 2015

Optical Flow on Evolving Surfaces with Space and Time Regularisation.
J. Math. Imaging Vis., 2015

Texture Generation for Photoacoustic Elastography.
J. Math. Imaging Vis., 2015

On a spatial-temporal decomposition of the optical flow.
CoRR, 2015

Optical Flow on Evolving Sphere-Like Surfaces.
CoRR, 2015

Infinite Dimensional Optimization Models and PDEs for Dejittering.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2015

2014
Quantitative Photoacoustic Tomography with Piecewise Constant Material Parameters.
SIAM J. Imaging Sci., 2014

Derivatives of isogeometric functions on n-dimensional rational patches in R<sup>d</sup>.
Comput. Aided Geom. Des., 2014

The effect of cinematic cuts on human attention.
Proceedings of the ACM International Conference on Interactive Experiences for TV and Online Video, 2014

Visual Attention in Edited Dynamical Images.
Proceedings of the SIGMAP 2014, 2014

2013
Decomposition of Optical Flow on the Sphere.
CoRR, 2013

A Thin Shell Approach to the Registration of Implicit Surfaces.
Proceedings of the 18th International Workshop on Vision, Modeling, and Visualization, 2013

Optical Flow on Evolving Surfaces with an Application to the Analysis of 4D Microscopy Data.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2013

Scale and Edge Detection with Topological Derivatives.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2013

2012
Shape Reconstruction with A Priori Knowledge Based on Integral Invariants.
SIAM J. Imaging Sci., 2012

Simultaneous Reconstructions of Absorption Density and Wave Speed with Photoacoustic Measurements.
SIAM J. Appl. Math., 2012

2011
Partial Differential Equations for Zooming, Deinterlacing and Dejittering.
Int. J. Comput. Vis., 2011

The residual method for regularizing ill-posed problems.
Appl. Math. Comput., 2011

Non-Local Functionals for Imaging.
Proceedings of the Fixed-Point Algorithms for Inverse Problems in Science and Engineering, 2011

2010
The CMA-ES on Riemannian Manifolds to Reconstruct Shapes in 3-D Voxel Images.
IEEE Trans. Evol. Comput., 2010

A Combinatorial Method for Topology Adaptations in 3D Deformable Models.
Int. J. Comput. Vis., 2010

2009
A Reconstruction Algorithm for Photoacoustic Imaging Based on the Nonuniform FFT.
IEEE Trans. Medical Imaging, 2009

Experiments and Algorithms to Detect Snow Avalanche Victims Using Airborne Ground-Penetrating Radar.
IEEE Trans. Geosci. Remote. Sens., 2009

Shape Metrics Based on Elastic Deformations.
J. Math. Imaging Vis., 2009

Sparsity Regularization for Radon Measures.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

A Geometric PDE for Interpolation of M-Channel Data.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

On a Decomposition Model for Optical Flow.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2009

Variational Methods in Imaging.
Applied mathematical sciences 167, Springer, ISBN: 978-0-387-30931-6, 2009

2008
Impedance-Acoustic Tomography.
SIAM J. Appl. Math., 2008

Regularized Reconstruction of Shapes with Statistical a priori Knowledge.
Int. J. Comput. Vis., 2008

Dual evolution of planar parametric spline curves and T-spline level sets.
Comput. Aided Des., 2008

On Steepest-Descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations.
Appl. Math. Comput., 2008

An efficient topology adaptation system for parametric active contour segmentation of 3D images.
Proceedings of the Medical Imaging 2008: Image Processing, 2008

Iterative Regularization Methods for Nonlinear Ill-Posed Problems.
Radon Series on Computational and Applied Mathematics 6, de Gruyter, ISBN: 978-3-11-020420-9, 2008

2007
Detecting Interfaces in a Parabolic-Elliptic Problem from Surface Measurements.
SIAM J. Numer. Anal., 2007

Inverse Total Variation Flow.
Multiscale Model. Simul., 2007

Bivariate density estimation using BV regularisation.
Comput. Stat. Data Anal., 2007

Variational and PDE level set methods.
Computing, 2007

Convex Inverse Scale Spaces.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007

2006
Variational Methods on the Space of Functions of Bounded Hessian for Convexification and Denoising.
Computing, 2006

Evolution of T-Spline Level Sets with Distance Field Constraints for Geometry Reconstruction and Image Segmentation.
Proceedings of the 2006 International Conference on Shape Modeling and Applications (SMI 2006), 2006

2005
Analysis of Regularization Methods for the Solution of Ill-Posed Problems Involving Discontinuous Operators.
SIAM J. Numer. Anal., 2005

Taut-String Algorithm and Regularization Programs with <i>G</i>-Norm Data Fit.
J. Math. Imaging Vis., 2005

Analysis of Iterative Methods for Solving a Ginzburg-Landau Equation.
Int. J. Comput. Vis., 2005

A Non-convex PDE Scale Space.
Proceedings of the Scale Space and PDE Methods in Computer Vision, 2005

2003
On Effective Stopping Time Selection for Visco-Plastic Nonlinear BV Diffusion Filters Used in Image Denoising.
SIAM J. Appl. Math., 2003

Tube Methods for BV Regularization.
J. Math. Imaging Vis., 2003

Using the Complex Ginzburg-Landau Equation for Digital Inpainting in 2D and 3D.
Proceedings of the Scale Space Methods in Computer Vision, 4th International Conference, 2003

2002
A Fast and Robust Algorithm for 2D/3D Panorama Ultrasound Data.
Real Time Imaging, 2002

2001
Inverse Problems Light: Numerical Differentiation.
Am. Math. Mon., 2001

Fast Parallel Algorithms for a Broad Class of Nonlinear Variational Diffusion Approaches.
Real Time Imaging, 2001

Regularization Methods for Blind Deconvolution and Blind Source Separation Problems.
Math. Control. Signals Syst., 2001

The Construction of Orthonormal Wavelets Using Symbolic Methods and a Matrix Analytical Approach for Wavelets on the Interval.
Exp. Math., 2001

Models for Image Interpolation Based on the Optical Flow.
Computing, 2001

Wavelets with Scale Dependent Properties.
Proceedings of the Symbolic and Numerical Scientific Computation, 2001

Inverse Scale Space Theory for Inverse Problems.
Proceedings of the Scale-Space and Morphology in Computer Vision, 2001

2000
The Effects of Yield Stress Variation on Uniaxial Exchange Flows of Two Bingham Fluids in a Pipe.
SIAM J. Appl. Math., 2000

Scale-Space Properties of Nonstationary Iterative Regularization Methods.
J. Vis. Commun. Image Represent., 2000

Relations Between Regularization and Diffusion Filtering.
J. Math. Imaging Vis., 2000

1999
Scale-Space Properties of Regularization Methods.
Proceedings of the Scale-Space Theories in Computer Vision, 1999

1998
Regularization for Curve Representations: Uniform Convergence for Discontinuous Solutions of Ill-Posed Problems.
SIAM J. Appl. Math., 1998

Error Analysis of an Equation Error Method for the Identification of the Diffusion Coefficient in a Quasi-linear Parabolic Differential Equation.
SIAM J. Appl. Math., 1998

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

Denoising with Higher Order Derivatives of Bounded Variation and an Application to Parameter Estimation.
Computing, 1998

1997
Spraying the Perfect Billet.
SIAM J. Appl. Math., 1997

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


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