Median Filtering of Tensor-Valued Images. - Martin Welk; Christian Feddern; Bernhard Burgeth; Joachim Weickert (DAGM-Symposium, 2003)

Equivalence Results for TV Diffusion and TV Regularisation. - Thomas Brox; Martin Welk; Gabriele Steidl; Joachim Weickert (Scale-Space, 2003)

Families of Generalised Morphological Scale Spaces. - Martin Welk (Scale-Space, 2003)

Morphological Operations on Matrix-Valued Images. - Bernhard Burgeth; Martin Welk; Christian Feddern; Joachim Weickert (ECCV (4), 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)

Variational Deblurring of Images with Uncertain and Spatially Variant Blurs. - Martin Welk; David Theis; Joachim Weickert (DAGM-Symposium, 2005)

Morphology for Higher-Dimensional Tensor Data Via Loewner Ordering. - Bernhard Burgeth; Nils Papenberg; Andrés Bruhn; Martin Welk; Christian Feddern; Joachim Weickert (ISMM, 2005)

Semidiscrete and Discrete Well-Posedness of Shock Filtering. - Martin Welk; Joachim Weickert (ISMM, 2005)

Matrix-Valued Filters as Convex Programs. - Martin Welk; Florian Becker; Christoph Schnörr; Joachim Weickert (Scale-Space, 2005)

Denoising of Audio Data by Nonlinear Diffusion. - Martin Welk; Achim Bergmeister; Joachim Weickert (Scale-Space, 2005)

PDE-Based Deconvolution with Forward-Backward Diffusivities and Diffusion Tensors. - Martin Welk; David Theis; Thomas Brox; Joachim Weickert (Scale-Space, 2005)

A Four-Pixel Scheme for Singular Differential Equations. - Martin Welk; Joachim Weickert; Gabriele Steidl (Scale-Space, 2005)

Towards PDE-Based Image Compression. - Irena Galic; Joachim Weickert; Martin Welk; Andrés Bruhn; Alexander G. Belyaev; Hans-Peter Seidel (VLSM, 2005)

Diffusion Filters and Wavelets: What Can They Learn from Each Other? - Joachim Weickert; Gabriele Steidl; Pavel Mrázek; Martin Welk; Thomas Brox (Handbook of Mathematical Models in Computer Vision, 2006)

Mathematical Morphology on Tensor Data Using the Loewner Ordering. - Bernhard Burgeth; Martin Welk; Christian Feddern; Joachim Weickert (Visualization and Processing of Tensor Fields, 2006)

PDEs for Tensor Image Processing. - Joachim Weickert; Christian Feddern; Martin Welk; Bernhard Burgeth; Thomas Brox (Visualization and Processing of Tensor Fields, 2006)

Tensor Field Interpolation with PDEs. - Joachim Weickert; Martin Welk (Visualization and Processing of Tensor Fields, 2006)

Tensor Median Filtering and M-Smoothing. - Martin Welk; Christian Feddern; Bernhard Burgeth; Joachim Weickert (Visualization and Processing of Tensor Fields, 2006)

From Tensor-Driven Diffusion to Anisotropic Wavelet Shrinkage. - Martin Welk; Joachim Weickert; Gabriele Steidl (ECCV (1), 2006)

A conservative shock filter model for the numerical approximation of conservation laws. - Michael Breuß; Martin Welk (Appl. Math. Lett., 2006)

Curvature-Driven PDE Methods for Matrix-Valued Images. - Christian Feddern; Joachim Weickert; Bernhard Burgeth; Martin Welk (Int. J. Comput. Vis., 2006)

Optimal compensation rules for integrated services. - Helge Löbler; Thorsten Posselt; Martin Welk (OR Spectr., 2006)

Variational Deconvolution of Multi-channel Images with Inequality Constraints. - Martin Welk; James G. Nagy (IbPRIA (1), 2007)

Beauty with Variational Methods: An Optic Flow Approach to Hairstyle Simulation. - Oliver Demetz; Joachim Weickert; Andrés Bruhn; Martin Welk (SSVM, 2007)

Numerical Invariantization for Morphological PDE Schemes. - Martin Welk; Pilwon Kim; Peter J. Olver (SSVM, 2007)

Morphology for matrix data: Ordering versus PDE-based approach. - Bernhard Burgeth; Andrés Bruhn; Stephan Didas; Joachim Weickert; Martin Welk (Image Vis. Comput., 2007)

Theoretical foundations for spatially discrete 1-D shock filtering. - Martin Welk; Joachim Weickert; Irena Galic (Image Vis. Comput., 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)

Median and related local filters for tensor-valued images. - Martin Welk; Joachim Weickert; Florian Becker; Christoph Schnörr; Christian Feddern; Bernhard Burgeth (Signal Process., 2007)

Variational registration of tensor-valued images. - Sebastiano Barbieri; Martin Welk; Joachim Weickert (CVPR Workshops, 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)

Differential Equations for Morphological Amoebas. - Martin Welk; Michael Breuß; Oliver Vogel (ISMM, 2009)

A Lattice Boltzmann Model for Rotationally Invariant Dithering. - Kai Uwe Hagenburg; Michael Breuß; Oliver Vogel; Joachim Weickert; Martin Welk (ISVC (2), 2009)

Theoretical Foundations for Discrete Forward-and-Backward Diffusion Filtering. - Martin Welk; Guy Gilboa; Joachim Weickert (SSVM, 2009)

Tempest in a Teapot: Compromising Reflections Revisited. - Michael Backes 001; Tongbo Chen; Markus Dürmuth; Hendrik P. A. Lensch; Martin Welk (SP, 2009)

A Variational Approach to the Registration of Tensor-Valued Images. - Sebastiano Barbieri; Martin Welk; Joachim Weickert (Tensors in Image Processing and Computer Vision, 2009)

Simultaneous Interpolation and Deconvolution Model for the 3-D Reconstruction of Cell Images. - Ahmed Elhayek; Martin Welk; Joachim Weickert (DAGM-Symposium, 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 (MICCAI (3), 2011)

Amoeba Active Contours. - Martin Welk (SSVM, 2011)

Morphological Amoebas Are Self-snakes. - Martin Welk; Michael Breuß; Oliver Vogel (J. Math. Imaging Vis., 2011)

Automated Quality Inspection of Microfluidic Chips Using Morphologic Techniques. - Thomas Schwarzbauer; Martin Welk; Chris Mayrhofer; Rainer Schubert (ISMM, 2013)

L 2-Stable Nonstandard Finite Differences for Anisotropic Diffusion. - Joachim Weickert; Martin Welk; Marco Wickert (SSVM, 2013)

Relations between Amoeba Median Algorithms and Curvature-Based PDEs. - Martin Welk (SSVM, 2013)

Algorithmic Optimisations for Iterative Deconvolution Methods - Martin Welk; Martin Erler (CoRR, 2013)

Amoeba Techniques for Shape and Texture Analysis. - Martin Welk (CoRR, 2014)

Adaptive Filters for Color Images: Median Filtering and Its Extensions. - Andreas Kleefeld; Michael Breuß; Martin Welk; Bernhard Burgeth (CCIW, 2015)

Scale Spaces for Cognitive Systems: A Position Paper. - Michael Breuß; Douglas W. Cunningham; Martin Welk (GI-Jahrestagung, 2015)

Non-adaptive and Amoeba Quantile Filters for Colour Images. - Martin Welk; Andreas Kleefeld; Michael Breuß (ISMM, 2015)

Partial Differential Equations of Bivariate Median Filters. - Martin Welk (SSVM, 2015)

Graph entropies in texture segmentation of images. - Martin Welk (CoRR, 2015)

Analysis of Amoeba Active Contours. - Martin Welk (J. Math. Imaging Vis., 2015)

Fast and Robust linear motion deblurring. - Martin Welk; Patrik Raudaschl; Thomas Schwarzbauer; Martin Erler; Martin Läuter (Signal Image Video Process., 2015)

Amoeba Techniques for Shape and Texture Analysis. - Martin Welk (Perspectives in Shape Analysis, 2016)

Multivariate Median Filters and Partial Differential Equations. - Martin Welk (J. Math. Imaging Vis., 2016)

Quantile Filtering of Colour Images via Symmetric Matrices. - Martin Welk; Andreas Kleefeld; Michael Breuß (Math. Morphol. Theory Appl., 2016)

A robust variational model for positive image deconvolution. - Martin Welk (Signal Image Video Process., 2016)

Modelling Stable Backward Diffusion and Repulsive Swarms with Convex Energies and Range Constraints. - Leif Bergerhoff; Giovanno Marcelo Cárdenas; Joachim Weickert; Martin Welk (EMMCVPR, 2017)

PDE for Bivariate Amoeba Median Filtering. - Martin Welk (ISMM, 2017)

Robust Blind Deconvolution with Convolution-Spectrum-Based Kernel Regulariser and Poisson-Noise Data Terms. - Martin Welk (SSVM, 2017)

An Efficient and Stable Two-Pixel Scheme for 2D Forward-and-Backward Diffusion. - Martin Welk; Joachim Weickert (SSVM, 2017)

A Discrete Theory and Efficient Algorithms for Forward-and-Backward Diffusion Filtering. - Martin Welk; Joachim Weickert; Guy Gilboa (J. Math. Imaging Vis., 2018)

Matrix Morphology with Extremum Principle. - Martin Welk; Michael Breuß; Vivek Sridhar (ISMM, 2019)

The Convex-Hull-Stripping Median Approximates Affine Curvature Motion. - Martin Welk; Michael Breuß (SSVM, 2019)

PDE Evolutions for M-Smoothers: From Common Myths to Robust Numerics. - Martin Welk; Joachim Weickert (SSVM, 2019)

Multivariate Medians for Image and Shape Analysis. - Martin Welk (CoRR, 2019)

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)

Stable Backward Diffusion Models that Minimise Convex Energies. - Leif Bergerhoff; Marcelo Cárdenas; Joachim Weickert; Martin Welk (J. Math. Imaging Vis., 2020)

Diffusion, Pre-smoothing and Gradient Descent. - Martin Welk (SSVM, 2021)

PDE Evolutions for M-Smoothers in One, Two, and Three Dimensions. - Martin Welk; Joachim Weickert (J. Math. Imaging Vis., 2021)

Equivariance-Based Analysis of PDE Evolutions Related to Multivariate Medians. - Martin Welk (DGMM, 2022)

Towards Quality Assessment of Blind Deconvolution with Shift Compensation. - Ghada Laribi; Martin Welk (ICPR, 2022)

Curvature-Based Denoising of Vector-Valued Images. - Christian Gapp; Martin Welk (IWCIA, 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)

An Approach to Colour Morphological Supremum Formation Using the LogSumExp Approximation. - Marvin Kahra; Michael Breuß; Andreas Kleefeld; Martin Welk (DGMM, 2024)

Head and Neck Tumor Segmentation on MRIs with Fast and Resource-Efficient Staged nnU-Nets. - Elias Tappeiner; Christian Gapp; Martin Welk; Rainer Schubert (HNTS-MRG@MICCAI, 2024)

Matrix-Valued LogSumExp Approximation for Colour Morphology. - Marvin Kahra; Michael Breuß; Andreas Kleefeld; Martin Welk (CoRR, 2024)

Multimodal Medical Disease Classification with LLaMA II. - Christian Gapp; Elias Tappeiner; Martin Welk; Rainer Schubert (CoRR, 2024)

What are You Looking at? Modality Contribution in Multimodal Medical Deep Learning Methods. - Christian Gapp; Elias Tappeiner; Martin Welk; Karl D. Fritscher; Elke Ruth Gizewski; Rainer Schubert (CoRR, 2025)