Martin Burger

According to our database1, Martin Burger authored at least 91 papers between 2000 and 2019.

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

Timeline

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Bibliography

2019
Unified Models for Second-Order TV-Type Regularisation in Imaging: A New Perspective Based on Vector Operators.
Journal of Mathematical Imaging and Vision, 2019

An entropic projection method for linear ill-posed problems.
CoRR, 2019

Reconstruction Methods in THz Single-pixel Imaging.
CoRR, 2019

A total variation based regularizer promoting piecewise-Lipschitz reconstructions.
CoRR, 2019

Variational Graph Methods for Efficient Point Cloud Sparsification.
CoRR, 2019

Computing Nonlinear Eigenfunctions via Gradient Flow Extinction.
CoRR, 2019

Computing Nonlinear Eigenfunctions via Gradient Flow Extinction.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2019

A Total Variation Based Regularizer Promoting Piecewise-Lipschitz Reconstructions.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2019

2018
Sorting Phenomena in a Mathematical Model For Two Mutually Attracting/Repelling Species.
SIAM J. Math. Analysis, 2018

A Variational Model for Joint Motion Estimation and Image Reconstruction.
SIAM J. Imaging Sciences, 2018

Convergence rates and structure of solutions of inverse problems with imperfect forward models.
CoRR, 2018

Modern regularization methods for inverse problems.
Acta Numer., 2018

2017
Block compressive sensing of image and video with nonlocal Lagrangian multiplier and patch-based sparse representation.
Sig. Proc.: Image Comm., 2017

Cross-Diffusion Systems with Excluded-Volume Effects and Asymptotic Gradient Flow Structures.
J. Nonlinear Science, 2017

Bias Reduction in Variational Regularization.
Journal of Mathematical Imaging and Vision, 2017

Analysis of the Diffuse Domain Method for Second Order Elliptic Boundary Value Problems.
Foundations of Computational Mathematics, 2017

Adaptive Regularization of Some Inverse Problems in Image Analysis.
CoRR, 2017

Block Compressive Sensing of Image and Video with Nonlocal Lagrangian Multiplier and Patch-based Sparse Representation.
CoRR, 2017

Nonlinear Spectral Image Fusion.
CoRR, 2017

Nonlinear Spectral Image Fusion.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2017

Adaptive Regularization in Convex Composite Optimization for Variational Imaging Problems.
Proceedings of the Pattern Recognition - 39th German Conference, 2017

2016
Lane Formation by Side-Stepping.
SIAM J. Math. Analysis, 2016

Spectral Decompositions Using One-Homogeneous Functionals.
SIAM J. Imaging Sciences, 2016

An Optimization Approach for Well-Targeted Transcranial Direct Current Stimulation.
SIAM Journal of Applied Mathematics, 2016

On a Boltzmann Mean Field Model for Knowledge Growth.
SIAM Journal of Applied Mathematics, 2016

Using reciprocity for relating the simulation of transcranial current stimulation to the EEG forward problem.
NeuroImage, 2016

Nonlinear Spectral Analysis via One-Homogeneous Functionals: Overview and Future Prospects.
Journal of Mathematical Imaging and Vision, 2016

Infimal Convolution Regularisation Functionals of BV and Lp Spaces - Part I: The Finite p Case.
Journal of Mathematical Imaging and Vision, 2016

Adaptive Parameter Balancing for Composite Optimization Problems in Imaging.
CoRR, 2016

Spectral Decompositions using One-Homogeneous Functionals.
CoRR, 2016

A Variational Model for Joint Motion Estimation and Image Reconstruction.
CoRR, 2016

2015
Iterative Solution Methods.
Proceedings of the Handbook of Mathematical Methods in Imaging, 2015

Second-Order Edge-Penalization in the Ambrosio-Tortorelli functional.
Multiscale Modeling & Simulation, 2015

Nonlinear Spectral Analysis via One-homogeneous Functionals - Overview and Future Prospects.
CoRR, 2015

On Optical Flow Models for Variational Motion Estimation.
CoRR, 2015

Spectral Representations of One-Homogeneous Functionals.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2015

Regularization with Sparse Vector Fields: From Image Compression to TV-type Reconstruction.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2015

Infimal Convolution Regularisation Functionals of BV and Lp Spaces. The Case p=∞.
Proceedings of the System Modeling and Optimization - 27th IFIP TC 7 Conference, CSMO 2015, 2015

2014
Color Bregman TV.
SIAM J. Imaging Sciences, 2014

Stationary States and Asymptotic Behavior of Aggregation Models with Nonlinear Local Repulsion.
SIAM J. Applied Dynamical Systems, 2014

A framework for automated cell tracking in phase contrast microscopic videos based on normal velocities.
J. Visual Communication and Image Representation, 2014

First order algorithms in variational image processing.
CoRR, 2014

Registration of Noisy Images via Maximum A-Posteriori Estimation.
Proceedings of the Biomedical Image Registration - 6th International Workshop, 2014

2013
A Hyperelastic Regularization Energy for Image Registration.
SIAM J. Scientific Computing, 2013

Multiscale Methods for Polyhedral Regularizations.
SIAM Journal on Optimization, 2013

An adaptive inverse scale space method for compressed sensing.
Math. Comput., 2013

Higher-Order TV Methods - Enhancement via Bregman Iteration.
J. Sci. Comput., 2013

A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models.
Journal of Mathematical Imaging and Vision, 2013

On a mean field game optimal control approach modeling fast exit scenarios in human crowds.
Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

2012
Motion Correction in Dual Gated Cardiac PET Using Mass-Preserving Image Registration.
IEEE Trans. Med. Imaging, 2012

A Variational Approach for Sharpening High Dimensional Images.
SIAM J. Imaging Sciences, 2012

Hierarchical Bayesian inference for the EEG inverse problem using realistic FE head models: Depth localization and source separation for focal primary currents.
NeuroImage, 2012

Influences of skull segmentation inaccuracies on EEG source analysis.
NeuroImage, 2012

A Framework for Automated Cell Tracking in Phase Contrast Microscopic Videos based on Normal Velocities
CoRR, 2012

Impact of Physical Noise Modeling on Image Segmentation in Echocardiography.
Proceedings of the Eurographics Workshop on Visual Computing for Biomedicine, 2012

Atlas-Based Whole-Body PET-CT Segmentation Using a Passive Contour Distance.
Proceedings of the Medical Computer Vision. Recognition Techniques and Applications in Medical Imaging, 2012

A Simplified Pipeline for Motion Correction in Dual Gated Cardiac PET.
Proceedings of the Bildverarbeitung für die Medizin 2012 - Algorithmen - Systeme, 2012

2011
Parallel medical image reconstruction: from graphics processing units (GPU) to Grids.
The Journal of Supercomputing, 2011

A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration.
J. Sci. Comput., 2011

Primal and Dual Bregman Methods with Application to Optical Nanoscopy.
International Journal of Computer Vision, 2011

2010
Nonlinear Cross-Diffusion with Size Exclusion.
SIAM J. Math. Analysis, 2010

Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction.
SIAM J. Imaging Sciences, 2010

A Continuity Equation Based Optical Flow Method for Cardiac Motion Correction in 3D PET Data.
Proceedings of the Medical Imaging and Augmented Reality - 5th International Workshop, 2010

2009
Cahn--Hilliard Inpainting and a Generalization for Grayvalue Images.
SIAM J. Imaging Sciences, 2009

Bregman-EM-TV Methods with Application to Optical Nanoscopy.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

Parallel Medical Image Reconstruction: From Graphics Processors to Grids.
Proceedings of the Parallel Computing Technologies, 10th International Conference, 2009

Total Variation Processing of Images with Poisson Statistics.
Proceedings of the Computer Analysis of Images and Patterns, 13th International Conference, 2009

2008
Shape from Defocus via Diffusion.
IEEE Trans. Pattern Anal. Mach. Intell., 2008

Large time behavior of nonlocal aggregation models with nonlinear diffusion.
NHM, 2008

Finite Element-Based Level Set Methods for Higher Order Flows.
J. Sci. Comput., 2008

Discovering a Point Source in Unknown Environments.
Proceedings of the Algorithmic Foundation of Robotics VIII, 2008

2007
Inverse Problems Related to Ion Channel Selectivity.
SIAM Journal of Applied Mathematics, 2007

Inverse Total Variation Flow.
Multiscale Modeling & Simulation, 2007

A level set approach to anisotropic flows with curvature regularization.
J. Comput. Physics, 2007

Error estimation for Bregman iterations and inverse scale space methods in image restoration.
Computing, 2007

2006
Regularizing Newton-Kaczmarz Methods for Nonlinear Ill-Posed Problems.
SIAM J. Numerical Analysis, 2006

The Keller-Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion.
SIAM J. Math. Analysis, 2006

Phase-Field Relaxation of Topology Optimization with Local Stress Constraints.
SIAM J. Control and Optimization, 2006

Mesoscale Averaging of Nucleation and Growth Models.
Multiscale Modeling & Simulation, 2006

Iterative Total Variation Regularization with Non-Quadratic Fidelity.
Journal of Mathematical Imaging and Vision, 2006

2005
An Iterative Regularization Method for Total Variation-Based Image Restoration.
Multiscale Modeling & Simulation, 2005

Regularized Greedy Algorithms for Network Training with Data Noise.
Computing, 2005

Nonlinear Inverse Scale Space Methods for Image Restoration.
Proceedings of the Variational, 2005

2004
Scene and Motion Reconstruction from Defocused and Motion-Blurred Images via Anisotropic Diffusion.
Proceedings of the Computer Vision, 2004

2003
Fast Optimal Design of Semiconductor Devices.
SIAM Journal of Applied Mathematics, 2003

Analysis of Tikhonov regularization for function approximation by neural networks.
Neural Networks, 2003

2002
Numerical Approximation of an SQP-Type Method for Parameter Identification.
SIAM J. Numerical Analysis, 2002

2001
Iterative Regularization of a Parameter Identification Problem Occurring in Polymer Crystallization.
SIAM J. Numerical Analysis, 2001

Regularization Methods for Blind Deconvolution and Blind Source Separation Problems.
MCSS, 2001

Error Bounds for Approximation with Neural Networks.
Journal of Approximation Theory, 2001

2000
Training neural networks with noisy data as an ill-posed problem.
Adv. Comput. Math., 2000


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