Martin Welk
Martin Welk
Associate Professor for Image Analysis
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On the equivalence of soft wavelet shrinkage, total variation diffusion, total variation regularization, and SIDEs
G Steidl, J Weickert, T Brox, P Mrázek, M Welk
SIAM Journal on Numerical Analysis 42 (2), 686-713, 2004
Image compression with anisotropic diffusion
I Galić, J Weickert, M Welk, A Bruhn, A Belyaev, HP Seidel
Journal of Mathematical Imaging and Vision 31, 255-269, 2008
Tempest in a teapot: Compromising reflections revisited
M Backes, T Chen, M Dürmuth, HPA Lensch, M Welk
2009 30th IEEE Symposium on Security and Privacy, 315-327, 2009
Towards PDE-based image compression
I Galić, J Weickert, M Welk, A Bruhn, A Belyaev, HP Seidel
International Workshop on Variational, Geometric, and Level Set Methods in …, 2005
Tensor field interpolation with PDEs
J Weickert, M Welk
Visualization and processing of tensor fields, 315-325, 2006
Median and related local filters for tensor-valued images
M Welk, J Weickert, F Becker, C Schnörr, C Feddern, B Burgeth
Signal Processing 87 (2), 291-308, 2007
Curvature-driven PDE methods for matrix-valued images
C Feddern, J Weickert, B Burgeth, M Welk
International Journal of Computer Vision 69, 93-107, 2006
Locally analytic schemes: A link between diffusion filtering and wavelet shrinkage
M Welk, G Steidl, J Weickert
Applied and Computational Harmonic Analysis 24 (2), 195-224, 2008
PDE-based deconvolution with forward-backward diffusivities and diffusion tensors
M Welk, D Theis, T Brox, J Weickert
Scale Space and PDE Methods in Computer Vision: 5th International Conference …, 2005
Median filtering of tensor-valued images
M Welk, C Feddern, B Burgeth, J Weickert
Pattern Recognition: 25th DAGM Symposium, Magdeburg, Germany, September 10 …, 2003
Morphology for matrix data: Ordering versus pde-based approach
B Burgeth, A Bruhn, S Didas, J Weickert, M Welk
Image and Vision Computing 25 (4), 496-511, 2007
A four-pixel scheme for singular differential equations
M Welk, J Weickert, G Steidl
International Conference on Scale-Space Theories in Computer Vision, 610-621, 2005
Variational deblurring of images with uncertain and spatially variant blurs
M Welk, D Theis, J Weickert
Pattern Recognition: 27th DAGM Symposium, Vienna, Austria, August 31 …, 2005
Mathematical morphology for matrix fields induced by the Loewner ordering in higher dimensions
B Burgeth, A Bruhn, N Papenberg, M Welk, J Weickert
Signal Processing 87 (2), 277-290, 2007
Equivalence results for TV diffusion and TV regularisation
T Brox, M Welk, G Steidl, J Weickert
Scale Space Methods in Computer Vision: 4th International Conference, Scale …, 2003
Morphological operations on matrix-valued images
B Burgeth, M Welk, C Feddern, J Weickert
Computer Vision-ECCV 2004: 8th European Conference on Computer Vision …, 2004
Morphological amoebas are self-snakes
M Welk, M Breuß, O Vogel
Journal of Mathematical Imaging and Vision 39, 87-99, 2011
Theoretical foundations for discrete forward-and-backward diffusion filtering
M Welk, G Gilboa, J Weickert
International Conference on Scale Space and Variational Methods in Computer …, 2009
Diffusion filters and wavelets: What can they learn from each other?
J Weickert, G Steidl, P Mräzek, M Welk, T Brox
Handbook of Mathematical Models in Computer Vision, 1-16, 2006
On iterations and scales of nonlinear filters
P Mrázek, J Weickert, G Steidl, M Welk
Proc. Eighth Computer Vision Winter Workshop, 61-66, 2003
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