Martin Welk

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 33

Top Topics

Diffusion Models

Organ Segmentation

Top Venues

J. Math. Imaging Vis.

Publications

Marvin Kahra, Michael Breuß, Andreas Kleefeld, Martin Welk
An Approach to Colour Morphological Supremum Formation Using the LogSumExp Approximation. DGMM (2024)
Marvin Kahra, Michael Breuß, Andreas Kleefeld, Martin Welk
An Approach to Colour Morphological Supremum Formation using the LogSumExp Approximation. CoRR (2023)
Elias Tappeiner, Martin Welk, Rainer Schubert
Tackling the class imbalance problem of deep learning-based head and neck organ segmentation. Int. J. Comput. Assist. Radiol. Surg. 17 (11) (2022)
Martin Welk
Equivariance-Based Analysis of PDE Evolutions Related to Multivariate Medians. DGMM (2022)
Ghada Laribi, Martin Welk
Towards Quality Assessment of Blind Deconvolution with Shift Compensation. ICPR (2022)
Christian Gapp, Martin Welk
Curvature-Based Denoising of Vector-Valued Images. IWCIA (2022)
Elias Tappeiner, Martin Welk, Rainer Schubert
Tackling the Class Imbalance Problem of Deep Learning Based Head and Neck Organ Segmentation. CoRR (2022)
Martin Welk, Joachim Weickert
PDE Evolutions for M-Smoothers in One, Two, and Three Dimensions. J. Math. Imaging Vis. 63 (2) (2021)
Martin Welk
Diffusion, Pre-smoothing and Gradient Descent. SSVM (2021)
Leif Bergerhoff, Marcelo Cárdenas, Joachim Weickert, Martin Welk
Stable Backward Diffusion Models that Minimise Convex Energies. J. Math. Imaging Vis. 62 (6-7) (2020)
Martin Welk, Joachim Weickert
PDE Evolutions for M-Smoothers in One, Two, and Three Dimensions. CoRR (2020)
Elias Tappeiner, Samuel Pröll, Karl D. Fritscher, Martin Welk, Rainer Schubert
Training of head and neck segmentation networks with shape prior on small datasets. Int. J. Comput. Assist. Radiol. Surg. 15 (9) (2020)
Martin Welk, Joachim Weickert
PDE Evolutions for M-Smoothers: From Common Myths to Robust Numerics. SSVM (2019)
Martin Welk, Michael Breuß
The Convex-Hull-Stripping Median Approximates Affine Curvature Motion. SSVM (2019)
Martin Welk
Multivariate Medians for Image and Shape Analysis. CoRR (2019)
Martin Welk, Michael Breuß, Vivek Sridhar
Matrix Morphology with Extremum Principle. ISMM (2019)
Leif Bergerhoff, Marcelo Cárdenas, Joachim Weickert, Martin Welk
Stable Backward Diffusion Models that Minimise Convex Energies. CoRR (2019)
Martin Welk, Joachim Weickert, Guy Gilboa
A Discrete Theory and Efficient Algorithms for Forward-and-Backward Diffusion Filtering. J. Math. Imaging Vis. 60 (9) (2018)
Martin Welk
PDE for Bivariate Amoeba Median Filtering. ISMM (2017)
Leif Bergerhoff, Giovanno Marcelo Cárdenas, Joachim Weickert, Martin Welk
Modelling Stable Backward Diffusion and Repulsive Swarms with Convex Energies and Range Constraints. EMMCVPR (2017)
Martin Welk
Robust Blind Deconvolution with Convolution-Spectrum-Based Kernel Regulariser and Poisson-Noise Data Terms. SSVM (2017)
Martin Welk, Joachim Weickert
An Efficient and Stable Two-Pixel Scheme for 2D Forward-and-Backward Diffusion. SSVM (2017)
Martin Welk
Multivariate Median Filters and Partial Differential Equations. J. Math. Imaging Vis. 56 (2) (2016)
Martin Welk
A robust variational model for positive image deconvolution. Signal Image Video Process. 10 (2) (2016)
Martin Welk, Andreas Kleefeld, Michael Breuß
Quantile Filtering of Colour Images via Symmetric Matrices. Math. Morphol. Theory Appl. 1 (1) (2016)
Martin Welk
Analysis of Amoeba Active Contours. J. Math. Imaging Vis. 52 (1) (2015)
Martin Welk
Partial Differential Equations of Bivariate Median Filters. SSVM (2015)
Michael Breuß, Douglas W. Cunningham, Martin Welk
Scale Spaces for Cognitive Systems: A Position Paper. GI-Jahrestagung (2015)
Martin Welk
Graph entropies in texture segmentation of images. CoRR (2015)
Martin Welk, Patrik Raudaschl, Thomas Schwarzbauer, Martin Erler, Martin Läuter
Fast and Robust linear motion deblurring. Signal Image Video Process. 9 (5) (2015)
Martin Welk, Andreas Kleefeld, Michael Breuß
Non-adaptive and Amoeba Quantile Filters for Colour Images. ISMM (2015)
Martin Welk
Multivariate Median Filters and Partial Differential Equations. CoRR (2015)
Andreas Kleefeld, Michael Breuß, Martin Welk, Bernhard Burgeth
Adaptive Filters for Color Images: Median Filtering and Its Extensions. CCIW (2015)
Martin Welk
Amoeba Techniques for Shape and Texture Analysis. CoRR (2014)
Martin Welk
A Robust Variational Model for Positive Image Deconvolution. CoRR (2013)
Joachim Weickert, Martin Welk, Marco Wickert
L 2-Stable Nonstandard Finite Differences for Anisotropic Diffusion. SSVM (2013)
Martin Welk
Analysis of Amoeba Active Contours. CoRR (2013)
Thomas Schwarzbauer, Martin Welk, Chris Mayrhofer, Rainer Schubert
Automated Quality Inspection of Microfluidic Chips Using Morphologic Techniques. ISMM (2013)
Martin Welk, Martin Erler
Algorithmic Optimisations for Iterative Deconvolution Methods CoRR (2013)
Martin Welk
Relations between Amoeba Median Algorithms and Curvature-Based PDEs. SSVM (2013)
Martin Welk, Patrik Raudaschl, Thomas Schwarzbauer, Martin Erler, Martin Läuter
Fast and Robust Linear Motion Deblurring CoRR (2012)
Ahmed Elhayek, Martin Welk, Joachim Weickert
Simultaneous Interpolation and Deconvolution Model for the 3-D Reconstruction of Cell Images. DAGM-Symposium (2011)
Shohei Hanaoka, Karl D. Fritscher, Martin Welk, Mitsutaka Nemoto, Yoshitaka Masutani, Naoto Hayashi, Kuni Ohtomo, Rainer Schubert
3-D Graph Cut Segmentation with Riemannian Metrics to Avoid the Shrinking Problem. MICCAI (3) (2011)
Martin Welk
Amoeba Active Contours. SSVM (2011)
Martin Welk, Michael Breuß, Oliver Vogel
Morphological Amoebas Are Self-snakes. J. Math. Imaging Vis. 39 (2) (2011)
Kai Uwe Hagenburg, Michael Breuß, Oliver Vogel, Joachim Weickert, Martin Welk
A Lattice Boltzmann Model for Rotationally Invariant Dithering. ISVC (2) (2009)
Michael Backes, Tongbo Chen, Markus Dürmuth, Hendrik P. A. Lensch, Martin Welk
Tempest in a Teapot: Compromising Reflections Revisited. IEEE Symposium on Security and Privacy (2009)
Martin Welk, Michael Breuß, Oliver Vogel
Differential Equations for Morphological Amoebas. ISMM (2009)
Martin Welk, Guy Gilboa, Joachim Weickert
Theoretical Foundations for Discrete Forward-and-Backward Diffusion Filtering. SSVM (2009)
Irena Galic, Joachim Weickert, Martin Welk, Andrés Bruhn, Alexander G. Belyaev, Hans-Peter Seidel
Image Compression with Anisotropic Diffusion. J. Math. Imaging Vis. 31 (2-3) (2008)
Sebastiano Barbieri, Martin Welk, Joachim Weickert
Variational registration of tensor-valued images. CVPR Workshops (2008)
Bernhard Burgeth, Andrés Bruhn, Nils Papenberg, Martin Welk, Joachim Weickert
Mathematical morphology for matrix fields induced by the Loewner ordering in higher dimensions. Signal Process. 87 (2) (2007)
Martin Welk, Pilwon Kim, Peter J. Olver
Numerical Invariantization for Morphological PDE Schemes. SSVM (2007)
Oliver Demetz, Joachim Weickert, Andrés Bruhn, Martin Welk
Beauty with Variational Methods: An Optic Flow Approach to Hairstyle Simulation. SSVM (2007)
Bernhard Burgeth, Andrés Bruhn, Stephan Didas, Joachim Weickert, Martin Welk
Morphology for matrix data: Ordering versus PDE-based approach. Image Vis. Comput. 25 (4) (2007)
Martin Welk, James G. Nagy
Variational Deconvolution of Multi-channel Images with Inequality Constraints. IbPRIA (1) (2007)
Martin Welk, Joachim Weickert, Irena Galic
Theoretical foundations for spatially discrete 1-D shock filtering. Image Vis. Comput. 25 (4) (2007)
Martin Welk, Joachim Weickert, Florian Becker, Christoph Schnörr, Christian Feddern, Bernhard Burgeth
Median and related local filters for tensor-valued images. Signal Process. 87 (2) (2007)
Martin Welk, Joachim Weickert, Gabriele Steidl
From Tensor-Driven Diffusion to Anisotropic Wavelet Shrinkage. ECCV (1) (2006)
Helge Löbler, Thorsten Posselt, Martin Welk
Optimal compensation rules for integrated services. OR Spectr. 28 (3) (2006)
Christian Feddern, Joachim Weickert, Bernhard Burgeth, Martin Welk
Curvature-Driven PDE Methods for Matrix-Valued Images. Int. J. Comput. Vis. 69 (1) (2006)
Michael Breuß, Martin Welk
A conservative shock filter model for the numerical approximation of conservation laws. Appl. Math. Lett. 19 (9) (2006)
Martin Welk, Achim Bergmeister, Joachim Weickert
Denoising of Audio Data by Nonlinear Diffusion. Scale-Space (2005)
Martin Welk, Florian Becker, Christoph Schnörr, Joachim Weickert
Matrix-Valued Filters as Convex Programs. Scale-Space (2005)
Martin Welk, Joachim Weickert
Semidiscrete and Discrete Well-Posedness of Shock Filtering. ISMM (2005)
Irena Galic, Joachim Weickert, Martin Welk, Andrés Bruhn, Alexander G. Belyaev, Hans-Peter Seidel
Towards PDE-Based Image Compression. VLSM (2005)
Martin Welk, David Theis, Thomas Brox, Joachim Weickert
PDE-Based Deconvolution with Forward-Backward Diffusivities and Diffusion Tensors. Scale-Space (2005)
Martin Welk, Joachim Weickert, Gabriele Steidl
A Four-Pixel Scheme for Singular Differential Equations. Scale-Space (2005)
Martin Welk, David Theis, Joachim Weickert
Variational Deblurring of Images with Uncertain and Spatially Variant Blurs. DAGM-Symposium (2005)
Bernhard Burgeth, Nils Papenberg, Andrés Bruhn, Martin Welk, Christian Feddern, Joachim Weickert
Morphology for Higher-Dimensional Tensor Data Via Loewner Ordering. ISMM (2005)
Gabriele Steidl, Joachim Weickert, Thomas Brox, Pavel Mrázek, Martin Welk
On the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs. SIAM J. Numer. Anal. 42 (2) (2004)
Bernhard Burgeth, Martin Welk, Christian Feddern, Joachim Weickert
Morphological Operations on Matrix-Valued Images. ECCV (4) (2004)
Martin Welk
Families of Generalised Morphological Scale Spaces. Scale-Space (2003)
Thomas Brox, Martin Welk, Gabriele Steidl, Joachim Weickert
Equivalence Results for TV Diffusion and TV Regularisation. Scale-Space (2003)
Martin Welk, Christian Feddern, Bernhard Burgeth, Joachim Weickert
Median Filtering of Tensor-Valued Images. DAGM-Symposium (2003)