Martin Welk

According to our database, Martin Welk authored at least 74 papers between 2003 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

An Approach to Colour Morphological Supremum Formation Using the LogSumExp Approximation.

Marvin Kahra, Michael Breuß, Andreas Kleefeld, Martin Welk

Proceedings of the Discrete Geometry and Mathematical Morphology, 2024

2022

Tackling the class imbalance problem of deep learning-based head and neck organ segmentation.

Elias Tappeiner, Martin Welk, Rainer Schubert

Int. J. Comput. Assist. Radiol. Surg., 2022

Curvature-Based Denoising of Vector-Valued Images.

Christian Gapp, Martin Welk

Proceedings of the Combinatorial Image Analysis - 21st International Workshop, 2022

Towards Quality Assessment of Blind Deconvolution with Shift Compensation.

Ghada Laribi, Martin Welk

Proceedings of the 26th International Conference on Pattern Recognition, 2022

Equivariance-Based Analysis of PDE Evolutions Related to Multivariate Medians.

Martin Welk

Proceedings of the Discrete Geometry and Mathematical Morphology, 2022

2021

PDE Evolutions for M-Smoothers in One, Two, and Three Dimensions.

Martin Welk, Joachim Weickert

J. Math. Imaging Vis., 2021

Diffusion, Pre-smoothing and Gradient Descent.

Martin Welk

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2021

2020

Stable Backward Diffusion Models that Minimise Convex Energies.

Leif Bergerhoff, Marcelo Cárdenas, Joachim Weickert, Martin Welk

J. Math. Imaging Vis., 2020

Training of head and neck segmentation networks with shape prior on small datasets.

Elias Tappeiner, Samuel Pröll, Karl D. Fritscher, Martin Welk, Rainer Schubert

Int. J. Comput. Assist. Radiol. Surg., 2020

2019

Multivariate Medians for Image and Shape Analysis.

Martin Welk

CoRR, 2019

PDE Evolutions for M-Smoothers: From Common Myths to Robust Numerics.

Martin Welk, Joachim Weickert

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2019

The Convex-Hull-Stripping Median Approximates Affine Curvature Motion.

Martin Welk, Michael Breuß

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2019

Matrix Morphology with Extremum Principle.

Martin Welk, Michael Breuß, Vivek Sridhar

Proceedings of the Mathematical Morphology and Its Applications to Signal and Image Processing, 2019

2018

A Discrete Theory and Efficient Algorithms for Forward-and-Backward Diffusion Filtering.

Martin Welk, Joachim Weickert, Guy Gilboa

J. Math. Imaging Vis., 2018

2017

An Efficient and Stable Two-Pixel Scheme for 2D Forward-and-Backward Diffusion.

Martin Welk, Joachim Weickert

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2017

Robust Blind Deconvolution with Convolution-Spectrum-Based Kernel Regulariser and Poisson-Noise Data Terms.

Martin Welk

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2017

PDE for Bivariate Amoeba Median Filtering.

Martin Welk

Proceedings of the Mathematical Morphology and Its Applications to Signal and Image Processing, 2017

Modelling Stable Backward Diffusion and Repulsive Swarms with Convex Energies and Range Constraints.

Leif Bergerhoff, Giovanno Marcelo Cárdenas, Joachim Weickert, Martin Welk

Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2017

2016

A robust variational model for positive image deconvolution.

Martin Welk

Signal Image Video Process., 2016

Quantile Filtering of Colour Images via Symmetric Matrices.

Martin Welk, Andreas Kleefeld, Michael Breuß

Math. Morphol. Theory Appl., 2016

Multivariate Median Filters and Partial Differential Equations.

Martin Welk

J. Math. Imaging Vis., 2016

Amoeba Techniques for Shape and Texture Analysis.

Martin Welk

Proceedings of the Perspectives in Shape Analysis, 2016

2015

Fast and Robust linear motion deblurring.

Martin Welk, Patrik Raudaschl, Thomas Schwarzbauer, Martin Erler, Martin Läuter

Signal Image Video Process., 2015

Analysis of Amoeba Active Contours.

Martin Welk

J. Math. Imaging Vis., 2015

Graph entropies in texture segmentation of images.

Martin Welk

CoRR, 2015

Partial Differential Equations of Bivariate Median Filters.

Martin Welk

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2015

Non-adaptive and Amoeba Quantile Filters for Colour Images.

Martin Welk, Andreas Kleefeld, Michael Breuß

Proceedings of the Mathematical Morphology and Its Applications to Signal and Image Processing, 2015

Scale Spaces for Cognitive Systems: A Position Paper.

Michael Breuß, Douglas W. Cunningham, Martin Welk

Proceedings of the 45. Jahrestagung der Gesellschaft für Informatik, Informatik, Energie und Umwelt, INFORMATIK 2015, Cottbus, Germany, September 28, 2015

Adaptive Filters for Color Images: Median Filtering and Its Extensions.

Andreas Kleefeld, Michael Breuß, Martin Welk, Bernhard Burgeth

Proceedings of the Computational Color Imaging - 5th International Workshop, 2015

2014

Amoeba Techniques for Shape and Texture Analysis.

Martin Welk

CoRR, 2014

2013

Algorithmic Optimisations for Iterative Deconvolution Methods

Martin Welk, Martin Erler

CoRR, 2013

Relations between Amoeba Median Algorithms and Curvature-Based PDEs.

Martin Welk

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2013

L 2-Stable Nonstandard Finite Differences for Anisotropic Diffusion.

Joachim Weickert, Martin Welk, Marco Wickert

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2013

Automated Quality Inspection of Microfluidic Chips Using Morphologic Techniques.

Thomas Schwarzbauer, Martin Welk, Chris Mayrhofer, Rainer Schubert

Proceedings of the Mathematical Morphology and Its Applications to Signal and Image Processing, 2013

2011

Morphological Amoebas Are Self-snakes.

Martin Welk, Michael Breuß, Oliver Vogel

J. Math. Imaging Vis., 2011

Amoeba Active Contours.

Martin Welk

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011

3-D Graph Cut Segmentation with Riemannian Metrics to Avoid the Shrinking Problem.

Shohei Hanaoka, Karl D. Fritscher, Martin Welk, Mitsutaka Nemoto, Yoshitaka Masutani, Naoto Hayashi, Kuni Ohtomo, Rainer Schubert

Proceedings of the Medical Image Computing and Computer-Assisted Intervention - MICCAI 2011, 2011

Simultaneous Interpolation and Deconvolution Model for the 3-D Reconstruction of Cell Images.

Ahmed Elhayek, Martin Welk, Joachim Weickert

Proceedings of the Pattern Recognition - 33rd DAGM Symposium, Frankfurt/Main, Germany, August 31, 2011

2009

A Variational Approach to the Registration of Tensor-Valued Images.

Sebastiano Barbieri, Martin Welk, Joachim Weickert

Proceedings of the Tensors in Image Processing and Computer Vision, 2009

Tempest in a Teapot: Compromising Reflections Revisited.

Michael Backes, Tongbo Chen, Markus Dürmuth, Hendrik P. A. Lensch, Martin Welk

Proceedings of the 30th IEEE Symposium on Security and Privacy (SP 2009), 2009

Theoretical Foundations for Discrete Forward-and-Backward Diffusion Filtering.

Martin Welk, Guy Gilboa, Joachim Weickert

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

A Lattice Boltzmann Model for Rotationally Invariant Dithering.

Kai Uwe Hagenburg, Michael Breuß, Oliver Vogel, Joachim Weickert, Martin Welk

Proceedings of the Advances in Visual Computing, 5th International Symposium, 2009

Differential Equations for Morphological Amoebas.

Martin Welk, Michael Breuß, Oliver Vogel

Proceedings of the Mathematical Morphology and Its Application to Signal and Image Processing, 2009

2008

Image Compression with Anisotropic Diffusion.

Irena Galic, Joachim Weickert, Martin Welk, Andrés Bruhn, Alexander G. Belyaev, Hans-Peter Seidel

J. Math. Imaging Vis., 2008

Variational registration of tensor-valued images.

Sebastiano Barbieri, Martin Welk, Joachim Weickert

Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2008

2007

Median and related local filters for tensor-valued images.

Martin Welk, Joachim Weickert, Florian Becker, Christoph Schnörr, Christian Feddern, Bernhard Burgeth

Signal Process., 2007

Mathematical morphology for matrix fields induced by the Loewner ordering in higher dimensions.

Bernhard Burgeth, Andrés Bruhn, Nils Papenberg, Martin Welk, Joachim Weickert

Signal Process., 2007

Theoretical foundations for spatially discrete 1-D shock filtering.

Martin Welk, Joachim Weickert, Irena Galic

Image Vis. Comput., 2007

Morphology for matrix data: Ordering versus PDE-based approach.

Bernhard Burgeth, Andrés Bruhn, Stephan Didas, Joachim Weickert, Martin Welk

Image Vis. Comput., 2007

Numerical Invariantization for Morphological PDE Schemes.

Martin Welk, Pilwon Kim, Peter J. Olver

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007

Beauty with Variational Methods: An Optic Flow Approach to Hairstyle Simulation.

Oliver Demetz, Joachim Weickert, Andrés Bruhn, Martin Welk

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007

Variational Deconvolution of Multi-channel Images with Inequality Constraints.

Martin Welk, James G. Nagy

Proceedings of the Pattern Recognition and Image Analysis, Third Iberian Conference, 2007

2006

Optimal compensation rules for integrated services.

Helge Löbler, Thorsten Posselt, Martin Welk

OR Spectr., 2006

Curvature-Driven PDE Methods for Matrix-Valued Images.

Christian Feddern, Joachim Weickert, Bernhard Burgeth, Martin Welk

Int. J. Comput. Vis., 2006

A conservative shock filter model for the numerical approximation of conservation laws.

Michael Breuß, Martin Welk

Appl. Math. Lett., 2006

From Tensor-Driven Diffusion to Anisotropic Wavelet Shrinkage.

Martin Welk, Joachim Weickert, Gabriele Steidl

Proceedings of the Computer Vision, 2006

Tensor Median Filtering and M-Smoothing.

Martin Welk, Christian Feddern, Bernhard Burgeth, Joachim Weickert

Proceedings of the Visualization and Processing of Tensor Fields, 2006

Tensor Field Interpolation with PDEs.

Joachim Weickert, Martin Welk

Proceedings of the Visualization and Processing of Tensor Fields, 2006

PDEs for Tensor Image Processing.

Joachim Weickert, Christian Feddern, Martin Welk, Bernhard Burgeth, Thomas Brox

Proceedings of the Visualization and Processing of Tensor Fields, 2006

Mathematical Morphology on Tensor Data Using the Loewner Ordering.

Bernhard Burgeth, Martin Welk, Christian Feddern, Joachim Weickert

Proceedings of the Visualization and Processing of Tensor Fields, 2006

Diffusion Filters and Wavelets: What Can They Learn from Each Other?

Joachim Weickert, Gabriele Steidl, Pavel Mrázek, Martin Welk, Thomas Brox

Proceedings of the Handbook of Mathematical Models in Computer Vision, 2006

2005

Towards PDE-Based Image Compression.

Irena Galic, Joachim Weickert, Martin Welk, Andrés Bruhn, Alexander G. Belyaev, Hans-Peter Seidel

Proceedings of the Variational, 2005

A Four-Pixel Scheme for Singular Differential Equations.

Martin Welk, Joachim Weickert, Gabriele Steidl

Proceedings of the Scale Space and PDE Methods in Computer Vision, 2005

PDE-Based Deconvolution with Forward-Backward Diffusivities and Diffusion Tensors.

Martin Welk, David Theis, Thomas Brox, Joachim Weickert

Proceedings of the Scale Space and PDE Methods in Computer Vision, 2005

Denoising of Audio Data by Nonlinear Diffusion.

Martin Welk, Achim Bergmeister, Joachim Weickert

Proceedings of the Scale Space and PDE Methods in Computer Vision, 2005

Matrix-Valued Filters as Convex Programs.

Martin Welk, Florian Becker, Christoph Schnörr, Joachim Weickert

Proceedings of the Scale Space and PDE Methods in Computer Vision, 2005

Semidiscrete and Discrete Well-Posedness of Shock Filtering.

Martin Welk, Joachim Weickert

Proceedings of the Mathematical Morphology: 40 Years On, 2005

Morphology for Higher-Dimensional Tensor Data Via Loewner Ordering.

Bernhard Burgeth, Nils Papenberg, Andrés Bruhn, Martin Welk, Christian Feddern, Joachim Weickert

Proceedings of the Mathematical Morphology: 40 Years On, 2005

Variational Deblurring of Images with Uncertain and Spatially Variant Blurs.

Martin Welk, David Theis, Joachim Weickert

Proceedings of the Pattern Recognition, 27th DAGM Symposium, Vienna, Austria, August 31, 2005

2004

On the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs.

Gabriele Steidl, Joachim Weickert, Thomas Brox, Pavel Mrázek, Martin Welk

SIAM J. Numer. Anal., 2004

Morphological Operations on Matrix-Valued Images.

Bernhard Burgeth, Martin Welk, Christian Feddern, Joachim Weickert

Proceedings of the Computer Vision, 2004

2003

Families of Generalised Morphological Scale Spaces.

Martin Welk

Proceedings of the Scale Space Methods in Computer Vision, 4th International Conference, 2003

Equivalence Results for TV Diffusion and TV Regularisation.

Thomas Brox, Martin Welk, Gabriele Steidl, Joachim Weickert

Proceedings of the Scale Space Methods in Computer Vision, 4th International Conference, 2003

Median Filtering of Tensor-Valued Images.

Martin Welk, Christian Feddern, Bernhard Burgeth, Joachim Weickert

Proceedings of the Pattern Recognition, 2003