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ORCIDMartin Welk
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- affiliation: Private University for Health Sciences, Medical Informatics and Technology (UMIT), Hall/Tyrol, Austria
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2020 – today
- 2024
[c43]Marvin Kahra, Michael Breuß, Andreas Kleefeld, Martin Welk:
An Approach to Colour Morphological Supremum Formation Using the LogSumExp Approximation. DGMM 2024: 325-337- 2023
- [i12]Marvin Kahra, Michael Breuß, Andreas Kleefeld, Martin Welk:
An Approach to Colour Morphological Supremum Formation using the LogSumExp Approximation. CoRR abs/2312.13792 (2023) - 2022
- [j20]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): 2103-2111 (2022) - [c42]Martin Welk:
Equivariance-Based Analysis of PDE Evolutions Related to Multivariate Medians. DGMM 2022: 193-205 - [c41]Ghada Laribi, Martin Welk:
Towards Quality Assessment of Blind Deconvolution with Shift Compensation. ICPR 2022: 421-427 - [c40]Christian Gapp, Martin Welk:
Curvature-Based Denoising of Vector-Valued Images. IWCIA 2022: 270-287 - [i11]Elias Tappeiner, Martin Welk, Rainer Schubert:
Tackling the Class Imbalance Problem of Deep Learning Based Head and Neck Organ Segmentation. CoRR abs/2201.01636 (2022) - 2021
- [j19]Martin Welk, Joachim Weickert:
PDE Evolutions for M-Smoothers in One, Two, and Three Dimensions. J. Math. Imaging Vis. 63(2): 157-185 (2021) - [c39]Martin Welk:
Diffusion, Pre-smoothing and Gradient Descent. SSVM 2021: 78-90 - 2020
- [j18]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): 1417-1425 (2020) - [j17]Leif Bergerhoff, Marcelo Cárdenas, Joachim Weickert, Martin Welk:
Stable Backward Diffusion Models that Minimise Convex Energies. J. Math. Imaging Vis. 62(6-7): 941-960 (2020) - [i10]Martin Welk, Joachim Weickert:
PDE Evolutions for M-Smoothers in One, Two, and Three Dimensions. CoRR abs/2007.13191 (2020)
2010 – 2019
- 2019
- [c38]Martin Welk, Michael Breuß, Vivek Sridhar:
Matrix Morphology with Extremum Principle. ISMM 2019: 177-188 - [c37]Martin Welk, Michael Breuß:
The Convex-Hull-Stripping Median Approximates Affine Curvature Motion. SSVM 2019: 199-210 - [c36]Martin Welk, Joachim Weickert:
PDE Evolutions for M-Smoothers: From Common Myths to Robust Numerics. SSVM 2019: 236-248 - [i9]Leif Bergerhoff, Marcelo Cárdenas, Joachim Weickert, Martin Welk:
Stable Backward Diffusion Models that Minimise Convex Energies. CoRR abs/1903.03491 (2019) - [i8]Martin Welk:
Multivariate Medians for Image and Shape Analysis. CoRR abs/1911.00143 (2019) - 2018
- [j16]Martin Welk, Joachim Weickert, Guy Gilboa:
A Discrete Theory and Efficient Algorithms for Forward-and-Backward Diffusion Filtering. J. Math. Imaging Vis. 60(9): 1399-1426 (2018) - 2017
- [c35]Leif Bergerhoff, Giovanno Marcelo Cárdenas, Joachim Weickert, Martin Welk:
Modelling Stable Backward Diffusion and Repulsive Swarms with Convex Energies and Range Constraints. EMMCVPR 2017: 409-423 - [c34]Martin Welk:
PDE for Bivariate Amoeba Median Filtering. ISMM 2017: 271-283 - [c33]Martin Welk, Joachim Weickert:
An Efficient and Stable Two-Pixel Scheme for 2D Forward-and-Backward Diffusion. SSVM 2017: 94-106 - [c32]Martin Welk:
Robust Blind Deconvolution with Convolution-Spectrum-Based Kernel Regulariser and Poisson-Noise Data Terms. SSVM 2017: 159-171 - 2016
- [j15]Martin Welk:
Multivariate Median Filters and Partial Differential Equations. J. Math. Imaging Vis. 56(2): 320-351 (2016) - [j14]Martin Welk, Andreas Kleefeld, Michael Breuß:
Quantile Filtering of Colour Images via Symmetric Matrices. Math. Morphol. Theory Appl. 1(1) (2016) - [j13]Martin Welk:
A robust variational model for positive image deconvolution. Signal Image Video Process. 10(2): 369-378 (2016) - [p7]Martin Welk:
Amoeba Techniques for Shape and Texture Analysis. Perspectives in Shape Analysis 2016: 73-116 - 2015
- [j12]Martin Welk:
Analysis of Amoeba Active Contours. J. Math. Imaging Vis. 52(1): 37-54 (2015) - [j11]Martin Welk, Patrik Raudaschl, Thomas Schwarzbauer, Martin Erler, Martin Läuter:
Fast and Robust linear motion deblurring. Signal Image Video Process. 9(5): 1221-1234 (2015) - [c31]Andreas Kleefeld, Michael Breuß, Martin Welk, Bernhard Burgeth:
Adaptive Filters for Color Images: Median Filtering and Its Extensions. CCIW 2015: 149-158 - [c30]Michael Breuß, Douglas W. Cunningham, Martin Welk:
Scale Spaces for Cognitive Systems: A Position Paper. GI-Jahrestagung 2015: 1253-1255 - [c29]Martin Welk, Andreas Kleefeld, Michael Breuß:
Non-adaptive and Amoeba Quantile Filters for Colour Images. ISMM 2015: 398-409 - [c28]Martin Welk:
Partial Differential Equations of Bivariate Median Filters. SSVM 2015: 53-65 - [i7]Martin Welk:
Multivariate Median Filters and Partial Differential Equations. CoRR abs/1509.08082 (2015) - [i6]Martin Welk:
Graph entropies in texture segmentation of images. CoRR abs/1512.08424 (2015) - 2014
- [i5]Martin Welk:
Amoeba Techniques for Shape and Texture Analysis. CoRR abs/1411.3285 (2014) - 2013
- [c27]Thomas Schwarzbauer, Martin Welk, Chris Mayrhofer, Rainer Schubert:
Automated Quality Inspection of Microfluidic Chips Using Morphologic Techniques. ISMM 2013: 508-519 - [c26]Joachim Weickert, Martin Welk, Marco Wickert:
L 2-Stable Nonstandard Finite Differences for Anisotropic Diffusion. SSVM 2013: 380-391 - [c25]Martin Welk:
Relations between Amoeba Median Algorithms and Curvature-Based PDEs. SSVM 2013: 392-403 - [i4]Martin Welk, Martin Erler:
Algorithmic Optimisations for Iterative Deconvolution Methods. CoRR abs/1304.7211 (2013) - [i3]Martin Welk:
Analysis of Amoeba Active Contours. CoRR abs/1310.0097 (2013) - [i2]Martin Welk:
A Robust Variational Model for Positive Image Deconvolution. CoRR abs/1310.2085 (2013) - 2012
- [i1]Martin Welk, Patrik Raudaschl, Thomas Schwarzbauer, Martin Erler, Martin Läuter:
Fast and Robust Linear Motion Deblurring. CoRR abs/1212.2245 (2012) - 2011
- [j10]Martin Welk, Michael Breuß, Oliver Vogel:
Morphological Amoebas Are Self-snakes. J. Math. Imaging Vis. 39(2): 87-99 (2011) - [c24]Ahmed Elhayek, Martin Welk, Joachim Weickert:
Simultaneous Interpolation and Deconvolution Model for the 3-D Reconstruction of Cell Images. DAGM-Symposium 2011: 316-325 - [c23]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: 554-561 - [c22]Martin Welk:
Amoeba Active Contours. SSVM 2011: 374-385
2000 – 2009
- 2009
- [c21]Martin Welk, Michael Breuß, Oliver Vogel:
Differential Equations for Morphological Amoebas. ISMM 2009: 104-114 - [c20]Kai Uwe Hagenburg, Michael Breuß, Oliver Vogel, Joachim Weickert, Martin Welk:
A Lattice Boltzmann Model for Rotationally Invariant Dithering. ISVC (2) 2009: 949-959 - [c19]Martin Welk, Guy Gilboa, Joachim Weickert:
Theoretical Foundations for Discrete Forward-and-Backward Diffusion Filtering. SSVM 2009: 527-538 - [c18]Michael Backes, Tongbo Chen, Markus Dürmuth, Hendrik P. A. Lensch, Martin Welk:
Tempest in a Teapot: Compromising Reflections Revisited. SP 2009: 315-327 - [p6]Sebastiano Barbieri, Martin Welk, Joachim Weickert:
A Variational Approach to the Registration of Tensor-Valued Images. Tensors in Image Processing and Computer Vision 2009: 59-77 - 2008
- [j9]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): 255-269 (2008) - [c17]Sebastiano Barbieri, Martin Welk, Joachim Weickert:
Variational registration of tensor-valued images. CVPR Workshops 2008: 1-6 - 2007
- [j8]Martin Welk, Joachim Weickert, Irena Galic:
Theoretical foundations for spatially discrete 1-D shock filtering. Image Vis. Comput. 25(4): 455-463 (2007) - [j7]Bernhard Burgeth, Andrés Bruhn, Stephan Didas, Joachim Weickert, Martin Welk:
Morphology for matrix data: Ordering versus PDE-based approach. Image Vis. Comput. 25(4): 496-511 (2007) - [j6]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): 277-290 (2007) - [j5]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): 291-308 (2007) - [c16]Martin Welk, James G. Nagy:
Variational Deconvolution of Multi-channel Images with Inequality Constraints. IbPRIA (1) 2007: 386-393 - [c15]Martin Welk, Pilwon Kim, Peter J. Olver:
Numerical Invariantization for Morphological PDE Schemes. SSVM 2007: 508-519 - [c14]Oliver Demetz, Joachim Weickert, Andrés Bruhn, Martin Welk:
Beauty with Variational Methods: An Optic Flow Approach to Hairstyle Simulation. SSVM 2007: 825-836 - 2006
- [j4]Michael Breuß, Martin Welk:
A conservative shock filter model for the numerical approximation of conservation laws. Appl. Math. Lett. 19(9): 954-959 (2006) - [j3]Christian Feddern, Joachim Weickert, Bernhard Burgeth, Martin Welk:
Curvature-Driven PDE Methods for Matrix-Valued Images. Int. J. Comput. Vis. 69(1): 93-107 (2006) - [j2]Helge Löbler, Thorsten Posselt, Martin Welk:
Optimal compensation rules for integrated services. OR Spectr. 28(3): 355-373 (2006) - [c13]Martin Welk, Joachim Weickert, Gabriele Steidl:
From Tensor-Driven Diffusion to Anisotropic Wavelet Shrinkage. ECCV (1) 2006: 391-403 - [p5]Joachim Weickert, Gabriele Steidl, Pavel Mrázek, Martin Welk, Thomas Brox:
Diffusion Filters and Wavelets: What Can They Learn from Each Other? Handbook of Mathematical Models in Computer Vision 2006: 1-16 - [p4]Joachim Weickert, Martin Welk:
Tensor Field Interpolation with PDEs. Visualization and Processing of Tensor Fields 2006: 315-325 - [p3]Martin Welk, Christian Feddern, Bernhard Burgeth, Joachim Weickert:
Tensor Median Filtering and M-Smoothing. Visualization and Processing of Tensor Fields 2006: 345-356 - [p2]Bernhard Burgeth, Martin Welk, Christian Feddern, Joachim Weickert:
Mathematical Morphology on Tensor Data Using the Loewner Ordering. Visualization and Processing of Tensor Fields 2006: 357-368 - [p1]Joachim Weickert, Christian Feddern, Martin Welk, Bernhard Burgeth, Thomas Brox:
PDEs for Tensor Image Processing. Visualization and Processing of Tensor Fields 2006: 399-414 - 2005
- [c12]Martin Welk, David Theis, Joachim Weickert:
Variational Deblurring of Images with Uncertain and Spatially Variant Blurs. DAGM-Symposium 2005: 485-492 - [c11]Martin Welk, Joachim Weickert:
Semidiscrete and Discrete Well-Posedness of Shock Filtering. ISMM 2005: 311-320 - [c10]Bernhard Burgeth, Nils Papenberg, Andrés Bruhn, Martin Welk, Christian Feddern, Joachim Weickert:
Morphology for Higher-Dimensional Tensor Data Via Loewner Ordering. ISMM 2005: 407-416 - [c9]Martin Welk, Florian Becker, Christoph Schnörr, Joachim Weickert:
Matrix-Valued Filters as Convex Programs. Scale-Space 2005: 204-216 - [c8]Martin Welk, David Theis, Thomas Brox, Joachim Weickert:
PDE-Based Deconvolution with Forward-Backward Diffusivities and Diffusion Tensors. Scale-Space 2005: 585-597 - [c7]Martin Welk, Achim Bergmeister, Joachim Weickert:
Denoising of Audio Data by Nonlinear Diffusion. Scale-Space 2005: 598-609 - [c6]Martin Welk, Joachim Weickert, Gabriele Steidl:
A Four-Pixel Scheme for Singular Differential Equations. Scale-Space 2005: 610-621 - [c5]Irena Galic, Joachim Weickert, Martin Welk, Andrés Bruhn, Alexander G. Belyaev, Hans-Peter Seidel:
Towards PDE-Based Image Compression. VLSM 2005: 37-48 - 2004
- [j1]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): 686-713 (2004) - [c4]Bernhard Burgeth, Martin Welk, Christian Feddern, Joachim Weickert:
Morphological Operations on Matrix-Valued Images. ECCV (4) 2004: 155-167 - 2003
- [c3]Martin Welk, Christian Feddern, Bernhard Burgeth, Joachim Weickert:
Median Filtering of Tensor-Valued Images. DAGM-Symposium 2003: 17-24 - [c2]Thomas Brox, Martin Welk, Gabriele Steidl, Joachim Weickert:
Equivalence Results for TV Diffusion and TV Regularisation. Scale-Space 2003: 86-100 - [c1]Martin Welk:
Families of Generalised Morphological Scale Spaces. Scale-Space 2003: 770-784
Coauthor Index
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