M. Welk

发表

Locally analytic schemes: A link between diffusion filtering and wavelet shrinkage

J. Weickert, G. Steidl, M. Welk, 2008 .

Enhancing 3-D cell structures in confocal and STED microscopy: a joint model for interpolation, deblurring and anisotropic smoothing

J. Weickert, Andrés Bruhn, Sven Grewenig, 2013 .

Mathematical morphology for tensor data induced by the Loewner orderingin higher dimensions

Joachim Weickert, Martin Welk, Bernhard Burgeth, 2005 .

Morphological Amoebas and Partial Differential Equations

M. Breuß, M. Welk, 2014 .

Discrimination of Image Textures Using Graph Indices

M. Welk, 2014 .

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

R. Schubert, M. Welk, Elias Tappeiner, 2022, International Journal of Computer Assisted Radiology and Surgery.

Superresolution Alignment with Innocence Assumption : Towards a Fair Quality Measurement for Blind Deconvolution

M. Welk, 2017 .

Quantile Filters for Multivariate Images

M. Welk, 2019 .

Universität Des Saarlandes Fachrichtung 6.1 – Mathematik Morphological Amoebas Are Self-snakes Morphological Amoebas Are Self-snakes Morphological Amoebas Are Self-snakes

M. Breuß, M. Welk, Oliver Vogel, 2022 .

Staircasing in semidiscrete stabilised inverse linear diffusion algorithms

M. Welk, M. Welk, M. Breuí, 2007 .

Theoretical foundations for 1-D shock filtering

J. Weickert, M. Welk, I. Galić, 2005 .

Image texture classiﬁcation with morphological amoeba descriptors

M. Welk, Franz Schwanninger, 2018 .

Differential calculus on quantum Euclidean spheres

M. Welk, 2000 .

1 9 Fe b 19 98 Differential Calculus on Quantum Spheres

M. Welk, 1998 .

Differential Calculus on Quantum Spheres

M. Welk, 1998, math/9802087.

Covariant differential calculus on quantum spheres of odd dimension

M. Welk, 1998 .

Graph entropies in texture segmentation of images pdf

Martin Welk, M. Welk, 2015, ArXiv.

Proceedings of the OAGM Workshop 2018: Medical Image Analysis

Martin Welk, Martin Urschler, Peter M. Roth, 2018 .

Scale Spaces for Cognitive Systems: A Position Paper

Michael Breuß, Martin Welk, Douglas W. Cunningham, 2015, GI-Jahrestagung.

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

Joachim Weickert, Martin Welk, J. Weickert, 2020, Journal of Mathematical Imaging and Vision.

Diffusion, Pre-smoothing and Gradient Descent

Martin Welk, M. Welk, 2021, SSVM.

Optimal compensation rules for integrated services

Martin Welk, Helge Löbler, Thorsten Posselt, 2006, OR Spectr..

A robust variational model for positive image deconvolution

M. Welk, 2015, Signal, Image and Video Processing.

Fast and Robust linear motion deblurring

M. Welk, P. Raudaschl, Martin Erler, 2013, Signal, Image and Video Processing.

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

Joachim Weickert, Martin Welk, Guy Gilboa, 2018, Journal of Mathematical Imaging and Vision.

The Convex-Hull-Stripping Median Approximates Affine Curvature Motion

Michael Breuß, Martin Welk, M. Breuß, 2019, SSVM.

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

Joachim Weickert, Martin Welk, J. Weickert, 2019, SSVM.

Non-adaptive and Amoeba Quantile Filters for Colour Images

Michael Breuß, Martin Welk, Andreas Kleefeld, 2015, ISMM.

Curvature-Driven PDE Methods for Matrix-Valued Images

Joachim Weickert, Martin Welk, Bernhard Burgeth, 2006, International Journal of Computer Vision.

PDEs for Tensor Image Processing

Thomas Brox, Joachim Weickert, Martin Welk, 2006, Visualization and Processing of Tensor Fields.

Morphology for matrix data: Ordering versus PDE-based approach

Joachim Weickert, Martin Welk, Bernhard Burgeth, 2007, Image Vis. Comput..

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

Joachim Weickert, Martin Welk, Bernhard Burgeth, 2007, Signal Process..

A Lattice Boltzmann Model for Rotationally Invariant Dithering

Kai Uwe Hagenburg, Michael Breuß, Oliver Vogel, 2009, ISVC.

Partial Differential Equations of Bivariate Median Filters

Martin Welk, M. Welk, 2015, SSVM.

Relations between Amoeba Median Algorithms and Curvature-Based PDEs

Martin Welk, M. Welk, 2013, SSVM.

Amoeba Active Contours

Martin Welk, M. Welk, 2011, SSVM.

Differential Equations for Morphological Amoebas

Michael Breuß, Oliver Vogel, Martin Welk, 2009, ISMM.

Tensor Median Filtering and M-Smoothing

Joachim Weickert, Martin Welk, Bernhard Burgeth, 2006, Visualization and Processing of Tensor Fields.

Morphological Operations on Matrix-Valued Images

Joachim Weickert, Martin Welk, Bernhard Burgeth, 2004, ECCV.

Joachim Weickert, Martin Welk, Bernhard Burgeth, 2007, Signal Process..

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

Martin Welk, M. Welk, 2017, SSVM.

A robust variational model for positive image deconvolution

Martin Welk, M. Welk, 2013, Signal Image Video Process..

Fast and Robust linear motion deblurring

Martin Welk, Martin Erler, Patrik Raudaschl, 2012, Signal Image Video Process..

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

Thomas Brox, Joachim Weickert, Martin Welk, 2005, Scale-Space.

A Four-Pixel Scheme for Singular Differential Equations

Joachim Weickert, Martin Welk, Gabriele Steidl, 2005, Scale-Space.

Denoising of Audio Data by Nonlinear Diffusion

Joachim Weickert, Martin Welk, Achim Bergmeister, 2005, Scale-Space.

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

Thomas Brox, Joachim Weickert, Martin Welk, 2004, SIAM J. Numer. Anal..

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

Thomas Brox, Joachim Weickert, Martin Welk, 2006, Handbook of Mathematical Models in Computer Vision.

An Algorithm for Generalized Principal Curves with Adaptive Topology in Complex Data Sets

Ralf Der, Michael Herrmann, G. Balzuweit, 1998 .

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

Martin Welk, Rainer Schubert, Elias Tappeiner, 2020, International Journal of Computer Assisted Radiology and Surgery.

Variational Deblurring of Images with Uncertain and Spatially Variant Blurs

Joachim Weickert, Martin Welk, David Theis, 2005, DAGM-Symposium.

Tempest in a Teapot: Compromising Reflections Revisited

Martin Welk, Michael Backes, Hendrik P. A. Lensch, 2009, 2009 30th IEEE Symposium on Security and Privacy.

Stable Backward Diffusion Models that Minimise Convex Energies

Joachim Weickert, Martin Welk, Leif Bergerhoff, 2019, Journal of Mathematical Imaging and Vision.

Variational Deconvolution of Multi-channel Images with Inequality Constraints

Martin Welk, James G. Nagy, J. Nagy, 2007, IbPRIA.

Theoretical Foundations for Discrete Forward-and-Backward Diffusion Filtering

Joachim Weickert, Martin Welk, Guy Gilboa, 2009, SSVM.

Multivariate Medians for Image and Shape Analysis

M. Welk, 2019, ArXiv.

Multivariate Median Filters and Partial Differential Equations

Martin Welk, M. Welk, 2015, Journal of Mathematical Imaging and Vision.

Morphological Amoebas Are Self-snakes

Michael Breuß, Oliver Vogel, Martin Welk, 2011, Journal of Mathematical Imaging and Vision.

Theoretical foundations for spatially discrete 1-D shock filtering

Joachim Weickert, Martin Welk, Irena Galic, 2007, Image Vis. Comput..

Towards PDE-Based Image Compression

Hans-Peter Seidel, Joachim Weickert, Martin Welk, 2005, VLSM.

Image Compression with Anisotropic Diffusion

Hans-Peter Seidel, Joachim Weickert, Martin Welk, 2008, Journal of Mathematical Imaging and Vision.

PDE for Bivariate Amoeba Median Filtering

Martin Welk, M. Welk, 2017, ISMM.

Quantile Filtering of Colour Images via Symmetric Matrices

Michael Breuß, Martin Welk, Andreas Kleefeld, 2016, Math. Morphol. Theory Appl..

Adaptive Filters for Color Images: Median Filtering and Its Extensions

Michael Breuß, Martin Welk, Bernhard Burgeth, 2015, CCIW.

Amoeba Techniques for Shape and Texture Analysis pdf

Martin Welk, M. Welk, 2014, Perspectives in Shape Analysis.

Analysis of Amoeba Active Contours

Martin Welk, M. Welk, 2013, Journal of Mathematical Imaging and Vision.

L 2-Stable Nonstandard Finite Differences for Anisotropic Diffusion

Joachim Weickert, Martin Welk, Marco Wickert, 2013, SSVM.

Median Filtering of Tensor-Valued Images

Joachim Weickert, Martin Welk, Bernhard Burgeth, 2003, DAGM-Symposium.

Equivalence Results for TV Diffusion and TV Regularisation

Thomas Brox, Joachim Weickert, Martin Welk, 2003, Scale-Space.

Tensor Field Interpolation with PDEs

Joachim Weickert, Martin Welk, J. Weickert, 2006, Visualization and Processing of Tensor Fields.

Variational registration of tensor-valued images

Joachim Weickert, Martin Welk, Sebastiano Barbieri, 2008, 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops.

Image Compression with Anisotropic Diffusion

H. Seidel, J. Weickert, Andrés Bruhn, 2008, Journal of Mathematical Imaging and Vision.

Tensor Field Interpolation with PDEs

J. Weickert, M. Welk, 2006, Visualization and Processing of Tensor Fields.

Universität Des Saarlandes Fachrichtung 6.1 – Mathematik on the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and Sides on the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and Sides

T. Brox, P. Mrázek, J. Weickert, 2022 .

An Approach to Colour Morphological Supremum Formation using the LogSumExp Approximation

M. Welk, A. Kleefeld, Marvin Kahra, 2023, 2312.13792.