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Author ID: weickert.joachim Recent zbMATH articles by "Weickert, Joachim"
Published as: Weickert, Joachim; Weickert, J.
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all top 5

Co-Authors

9 single-authored
18 Welk, Martin
16 Burgeth, Bernhard F.
15 Bruhn, Andrés
14 Schnörr, Christoph
11 Didas, Stephan
10 Brox, Thomas
9 Breuß, Michael
9 Steidl, Gabriele
6 Mrázek, Pavel
5 Peter, Pascal
4 Fuchs, Martin
4 Hafner, David
4 Kohlberger, Timo
4 Pizarro, Luis
3 Bildhauer, Michael
3 Cárdenas, Marcelo
3 Demetz, Oliver
3 Feddern, Christian
3 Papenberg, Nils
3 Scherzer, Otmar
3 Seidel, Hans-Peter
3 Zimmer, Henning
2 Alt, Tobias
2 Augustin, Matthias Albert
2 Becker, Florian
2 Cremers, Daniel
2 Galić, Irena
2 Grewenig, Sven
2 Hoffmann, Sebastian
2 Imiya, Atsushi
2 Schmidt, Martin
2 Schrader, Karl
2 Schroers, Christopher
2 Sonar, Thomas
1 Adam, Robin Dirk
1 Bae, Egil
1 Barbieri, Sebastiano
1 Beier, Markus
1 Belhachmi, Zakaria
1 Berdychevski, Anatoly
1 Bergerhoff, Leif
1 Bergmeister, Achim
1 Bodduna, Kireeti
1 Brüning, Ulrich
1 Bucur, Dorin
1 Bürgel, Andrea
1 Calatroni, Luca
1 Caliari, Marco
1 Cárdenas, Giovanno Marcelo
1 Dahlhaus, Rainer
1 Daropoulos, Viktor
1 Doerr, Benjamin
1 Effelsberg, Wolfgang
1 Fischer, Markus
1 Florack, Luc M. J.
1 Franke, Jürgen
1 Gilboa, Guy
1 Gwosdek, Pascal
1 Hagen, H.
1 Halim, Siana
1 Heers, Josef
1 Hinterberger, Walter
1 Hoeltgen, Laurent
1 Huckemann, Stephan F.
1 Ishikawa, Seiji
1 Jakob, Tobias
1 Johannsen, Daniel
1 Kaufhold, Lilli
1 Kim, Kwang-Rae
1 Kimmel, Ron
1 Klette, Reinhard
1 Kozera, Ryszard S.
1 Kühne, Gerald
1 Laidlaw, David H.
1 Mainberger, Markus
1 Meijering, Erik H. W.
1 Meinberger, Markus
1 Müller, Jan-Steffen
1 Munk, Axel
1 Neumann, Frank
1 Neunzert, Helmut
1 Niessen, Wiro J.
1 Noakes, Lyle
1 Parisotto, Simone
1 Plonka, Gerlind
1 Polzehl, Jörg
1 Rehfeldt, Florian
1 Reissel, Martin
1 Rjasanowa, Kerstin
1 Rösch, Ronald
1 Sánchez, Javier
1 Schäffer, Sarah
1 Schellewald, Christian
1 Schmaltz, C.
1 Schönlieb, Carola-Bibiane
1 Schultz, Thomas
1 Schuster, Thomas
1 Setzer, Simon
1 Sochen, Nir
1 Sommerfeld, Max
...and 15 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

88 Publications have been cited 994 times in 650 Documents Cited by Year
Anisotropic diffusion in image processing. Zbl 0886.68131
Weickert, Joachim
281
1998
High accuracy optical flow estimation based on a theory for warping. Zbl 1098.68736
Brox, Thomas; Bruhn, Andrés; Papenberg, Nils; Weickert, Joachim
61
2004
On the equivalence of soft wavelet shrinkage, Total variation diffusion, Total variation regularization, and SIDEs. Zbl 1083.94001
Steidl, Gabriele; Weickert, Joachim; Brox, Thomas; Mrázek, Pavel; Welk, Martin
48
2004
Variational optic flow computation with a spatio-temporal smoothness constraint. Zbl 0988.68821
Weickert, Joachim; Schnörr, Christoph
35
2001
A theoretical framework for convex regularizers in PDE-based computation of image motion. Zbl 0987.68600
Weickert, Joachim; Schnörr, Christoph
31
2001
Relations between regularization and diffusion filtering. Zbl 0945.68183
Scherzer, Otmar; Weickert, Joachim
29
2000
Linear scale-space has first been proposed in Japan. Zbl 1002.68177
Weickert, Joachim; Ishikawa, Seiji; Imiya, Atsushi
27
1999
A general structure tensor concept and coherence-enhancing diffusion filtering for matrix fields. Zbl 1171.68788
Burgeth, Bernhard; Didas, Stephan; Weickert, Joachim
26
2009
Diffusion snakes: Introducing statistical shape knowledge into the Mumford-Shah functional. Zbl 1012.68785
Cremers, Daniel; Tischhäuser, Florian; Weickert, Joachim; Schnörr, Christoph
22
2002
Applications of nonlinear diffusion in image processing and computer vision. Zbl 0988.35070
Weickert, J.
21
2001
Anisotropic diffusion in image processing. Zbl 0888.68120
Weickert, Joachim
20
1996
A survey on variational optic flow methods for small displacements. Zbl 1231.68271
Weickert, Joachim; Bruhn, Andrés; Brox, Thomas; Papenberg, Nils
19
2006
Diffusion and regularization of vector- and matrix-valued images. Zbl 1047.68143
Weickert, Joachim; Brox, Thomas
16
2002
Dithering by differences of convex functions. Zbl 1214.49017
Teuber, T.; Steidl, G.; Gwosdek, P.; Schmaltz, C.; Weickert, J.
15
2011
Locally analytic schemes: a link between diffusion filtering and wavelet shrinkage. Zbl 1161.68831
Welk, Martin; Steidl, Gabriele; Weickert, Joachim
15
2008
Reliable estimation of dense optical flow fields with large displacements. Zbl 1060.68635
Alvarez, Luis; Weickert, Joachim; Sánchez, Javier
14
2000
Analysis of optical flow models in the framework of the calculus of variations. Zbl 1016.49002
Hinterberger, W.; Scherzer, O.; Schnörr, C.; Weickert, J.
13
2002
Towards PDE-based image compression. Zbl 1159.68589
Galić, Irena; Weickert, Joachim; Welk, Martin; Bruhn, Andrés; Belyaev, Alexander; Seidel, Hans-Peter
13
2005
Lucas/Kanade meets Horn/Schunck: combining local and global optic flow methods. Zbl 1477.68337
Bruhn, Andrés; Weickert, Joachim; Schnörr, Christoph
12
2005
Efficient image segmentation using partial differential equations and morphology. Zbl 1003.68712
Weickert, Joachim
10
2001
How to choose interpolation data in images. Zbl 1190.94006
Belhachmi, Zakaria; Bucur, Dorin; Burgeth, Bernhard; Weickert, Joachim
10
2009
Morphological operations on matrix-valued images. Zbl 1098.68738
Burgeth, Bernhard; Welk, Martin; Feddern, Christian; Weickert, Joachim
10
2004
Cyclic schemes for PDE-based image analysis. Zbl 1398.68600
Weickert, Joachim; Grewenig, Sven; Schroers, Christopher; Bruhn, Andrés
10
2016
Regularity and scale-space properties of fractional high order linear filtering. Zbl 1119.68469
Didas, Stephan; Burgeth, Bernhard; Imiya, Atsushi; Weickert, Joachim
9
2005
Correspondences between wavelet shrinkage and nonlinear diffusion. Zbl 1067.68758
Mrázek, Pavel; Weickert, Joachim; Steidl, Gabriele
9
2003
A generic approach to diffusion filtering of matrix-fields. Zbl 1158.35373
Burgeth, B.; Didas, S.; Florack, L.; Weickert, J.
8
2007
The circular SiZer, inferred persistence of shape parameters and application to early stem cell differentiation. Zbl 1349.62195
Huckemann, Stephan; Kim, Kwang-Rae; Munk, Axel; Rehfeldt, Florian; Sommerfeld, Max; Weickert, Joachim; Wollnik, Carina
8
2016
Mathematical morphology for matrix fields induced by the Loewner ordering in higher dimensions. Zbl 1186.94074
Burgeth, Bernhard; Bruhn, Andres; Papenberg, Nils; Welk, Martin; Weickert, Joachim
8
2007
Scale space and PDE methods in computer vision. 5th international conference, Scale-Space 2005, Hofgeismar, Germany, April 7–9, 2005. Proceedings. Zbl 1070.68003
7
2005
Visualization and processing of tensor fields. Zbl 1084.68135
7
2006
PDE-based deconvolution with forward-backward diffusivities and diffusion tensors. Zbl 1119.68511
Welk, Martin; Theis, David; Brox, Thomas; Weickert, Joachim
7
2005
Median and related local filters for tensor-valued images. Zbl 1186.94363
Welk, Martin; Weickert, Joachim; Becker, Florian; Schnörr, Christoph; Feddern, Christian; Burgeth, Bernhard
7
2007
Optic flow in harmony. Zbl 1235.94030
Zimmer, Henning; Bruhn, Andrés; Weickert, Joachim
7
2011
An explanation for the logarithmic connection between linear and morphological systems. Zbl 1067.68723
Burgeth, Bernhard; Weickert, Joachim
6
2003
Properties of higher order nonlinear diffusion filtering. Zbl 1490.94011
Didas, S.; Weickert, J.; Burgeth, B.
6
2009
Denoising and inpainting of images using TV-type energies: theoretical and computational aspects. Zbl 1381.94011
Bildhauer, M.; Fuchs, M.; Weickert, J.
6
2016
Integrodifferential equations for continuous multiscale wavelet shrinkage. Zbl 1141.42318
Didas, Stephan; Weickert, Joachim
6
2007
Image compression with anisotropic diffusion. Zbl 1448.94012
Galić, Irena; Weickert, Joachim; Welk, Martin; Bruhn, Andrés; Belyaev, Alexander; Seidel, Hans-Peter
6
2008
Visualization and processing of tensor fields. Advances and perspectives. Zbl 1159.68003
5
2009
PDE-based morphology for matrix fields: Numerical solution schemes. Zbl 1192.68762
Burgeth, Bernhard; Breuß, Michael; Didas, Stephan; Weickert, Joachim
5
2009
Discontinuity-preserving computation of variational optic flow in real-time. Zbl 1119.68462
Bruhn, Andrés; Weickert, Joachim; Kohlberger, Timo; Schnörr, Christoph
5
2005
A four-pixel scheme for singular differential equations. Zbl 1119.68512
Welk, Martin; Weickert, Joachim; Steidl, Gabriele
5
2005
Fast implicit active contour models. Zbl 1017.68766
Kühne, Gerald; Weickert, Joachim; Beier, Markus; Effelsberg, Wolfgang
5
2002
Combining the advantages of local and global optic flow methods. Zbl 1017.68599
Bruhn, Andrés; Weickert, Joachim; Schnörr, Christoph
5
2002
A TV flow based local scale measure for texture discrimination. Zbl 1098.68737
Brox, Thomas; Weickert, Joachim
5
2004
Morphological counterparts of linear shift-invariant scale-spaces. Zbl 1392.68428
Schmidt, Martin; Weickert, Joachim
5
2016
Curvature-driven PDE methods for matrix-valued images. Zbl 1477.94010
Feddern, Christian; Weickert, Joachim; Burgeth, Bernhard; Welk, Martin
5
2006
A directional Rouy-Tourin scheme for adaptive matrix-valued morphology. Zbl 1252.94017
Pizarro, Luis; Burgeth, Bernhard; Breuß, Michael; Weickert, Joachim
4
2009
Information measures in scale-spaces. Zbl 0945.94005
Sporring, Jon; Weickert, Joachim
4
1999
Relations between soft wavelet shrinkage and total variation denoising. Zbl 1017.68889
Steidl, Gabriele; Weickert, Joachim
4
2002
Nonlinear matrix diffusion for optic flow estimation. Zbl 1017.68598
Brox, Thomas; Weickert, Joachim
4
2002
Diffusion-inspired shrinkage functions and stability results for wavelet denoising. Zbl 1477.94019
Mrázek, Pavel; Weickert, Joachim; Steidl, Gabriele
4
2005
Stabilised nonlinear inverse diffusion for approximating hyperbolic PDEs. Zbl 1119.68459
Breuß, Michael; Brox, Thomas; Sonar, Thomas; Weickert, Joachim
3
2005
A higher-order structure tensor. Zbl 1171.68812
Schultz, Thomas; Weickert, Joachim; Seidel, Hans-Peter
3
2009
On the application of projection methods for computing optical flow fields. Zbl 1147.68817
Schuster, Thomas; Weickert, Joachim
3
2007
A shock-capturing algorithm for the differential equations of dilation and erosion. Zbl 1478.94015
Breuß, Michael; Weickert, Joachim
3
2006
Highly accurate schemes for PDE-based morphology with general convex structuring elements. Zbl 1235.68249
Breuß, Michael; Weickert, Joachim
3
2011
Dense versus sparse approaches for estimating the fundamental matrix. Zbl 1235.68293
Valgaerts, Levi; Bruhn, Andrés; Mainberger, Markus; Weickert, Joachim
3
2012
A discrete theory and efficient algorithms for forward-and-backward diffusion filtering. Zbl 1433.94017
Welk, Martin; Weickert, Joachim; Gilboa, Guy
3
2018
Optimizing spatial and tonal data for PDE-based inpainting. Zbl 1443.94016
Hoeltgen, Laurent; Meinberger, Markus; Hoffmann, Sebastian; Weickert, Joachim; Tang, Ching Hoo; Setzer, Simon; Johannsen, Daniel; Neumann, Frank; Doerr, Benjamin
3
2017
Anisotropic osmosis filtering for shadow removal in images. Zbl 1448.94030
Parisotto, Simone; Calatroni, Luca; Caliari, Marco; Schönlieb, Carola-Bibiane; Weickert, Joachim
2
2019
Relativistic scale-spaces. Zbl 1119.68463
Burgeth, Bernhard; Didas, Stephan; Weickert, Joachim
2
2005
Matrix-valued filters as convex programs. Zbl 1119.68509
Welk, Martin; Becker, Florian; Schnörr, Christoph; Weickert, Joachim
2
2005
Equivalence results for TV diffusion and TV regularisation. Zbl 1067.68722
Brox, Thomas; Welk, Martin; Steidl, Gabriele; Weickert, Joachim
2
2003
Optic flow scale space. Zbl 1309.94029
Demetz, Oliver; Weickert, Joachim; Bruhn, Andrés; Zimmer, Henning
2
2012
Mathematical image processing using ideas from Nature. (Mathematische Bildverarbeitung mit Ideen aus der Natur.) Zbl 1260.94022
Weickert, Joachim
2
2012
A multigrid platform for real-time motion computation with discontinuity-preserving variational methods. Zbl 1477.68336
Bruhn, Andrés; Weickert, Joachim; Kohlberger, Timo; Schnörr, Christoph
2
2006
Energy-based image simplification with nonlocal data and smoothness terms. Zbl 1147.65302
Didas, Stephan; Mrázek, Pavel; Weickert, Joachim
2
2007
3D-coherence-enhancing diffusion filtering for matrix fields. Zbl 1245.94014
Burgeth, Bernhard; Pizarro, Luis; Didas, Stephan; Weickert, Joachim
2
2012
Pseudo-inverses of difference matrices and their application to sparse signal approximation. Zbl 1338.15013
Plonka, Gerlind; Hoffmann, Sebastian; Weickert, Joachim
2
2016
Numerical aspects of TV flow. Zbl 1116.65099
Breuß, Michael; Bürgel, Andrea; Brox, Thomas; Sonar, Thomas; Weickert, Joachim
2
2006
Generalised nonlocal image smoothing. Zbl 1477.94020
Pizarro, Luis; Mrázek, Pavel; Didas, Stephan; Grewenig, Sven; Weickert, Joachim
2
2010
A mathematical model for diffusion and exchange phenomena in ultra napkins. Zbl 0790.35050
Weickert, Joachim
1
1993
PDE evolutions for M-smoothers in one, two, and three dimensions. Zbl 07358834
Welk, Martin; Weickert, Joachim
1
2021
Nonlinear diffusion scale-spaces: From the continuous to the discrete setting. Zbl 0851.68120
Weickert, Joachim
1
1996
Foundations and applications of nonlinear anisotropic diffusion filtering. Zbl 0884.68129
Weickert, J.
1
1996
Fast parallel algorithms for a broad class of nonlinear variational diffusion approaches. Zbl 1010.68934
Weickert, Joachim; Heers, Josef; Schnörr, Christoph; Zuiderveld, Karel J.; Scherzer, Otmar; Stiehl, H. Siegfried
1
2001
Geometric properties for incomplete data. Zbl 1119.68215
1
2006
Parallel variational motion estimation by domain decomposition and cluster computing. Zbl 1098.68791
Kohlberger, Timo; Schnörr, Christoph; Bruhn, Andrés; Weickert, Joachim
1
2004
Mathematical foundations and generalisations of the census transform for robust optic flow computation. Zbl 1331.94020
Hafner, David; Demetz, Oliver; Weickert, Joachim; Reißel, Martin
1
2015
Efficient numerical techniques for perspective shape from shading. Zbl 1171.65403
Breuss, Michael; Vogel, Oliver; Weickert, Joachim
1
2009
An alternative approach towards the higher order denoising of images. analytical aspects. Zbl 1384.35019
Bildhauer, M.; Fuchs, M.; Weickert, J.
1
2017
Adaptive continuous-scale morphology for matrix fields. Zbl 1235.68250
Burgeth, Bernhard; Pizarro, Luis; Breuß, Michael; Weickert, Joachim
1
2011
Morphologically invariant matching of structures with the complete rank transform. Zbl 1398.68574
Demetz, Oliver; Hafner, David; Weickert, Joachim
1
2015
Turning diffusion-based image colorization into efficient color compression. Zbl 1409.94488
Peter, Pascal; Kaufhold, Lilli; Weickert, Joachim
1
2017
Translating numerical concepts for PDEs into neural architectures. Zbl 07449739
Alt, Tobias; Peter, Pascal; Weickert, Joachim; Schrader, Karl
1
2021
Compressing images with diffusion- and exemplar-based inpainting. Zbl 1444.94021
Peter, Pascal; Weickert, Joachim
1
2015
Variational exposure fusion with optimal local contrast. Zbl 1451.65018
Hafner, David; Weickert, Joachim
1
2015
PDE evolutions for M-smoothers in one, two, and three dimensions. Zbl 07358834
Welk, Martin; Weickert, Joachim
1
2021
Translating numerical concepts for PDEs into neural architectures. Zbl 07449739
Alt, Tobias; Peter, Pascal; Weickert, Joachim; Schrader, Karl
1
2021
Anisotropic osmosis filtering for shadow removal in images. Zbl 1448.94030
Parisotto, Simone; Calatroni, Luca; Caliari, Marco; Schönlieb, Carola-Bibiane; Weickert, Joachim
2
2019
A discrete theory and efficient algorithms for forward-and-backward diffusion filtering. Zbl 1433.94017
Welk, Martin; Weickert, Joachim; Gilboa, Guy
3
2018
Optimizing spatial and tonal data for PDE-based inpainting. Zbl 1443.94016
Hoeltgen, Laurent; Meinberger, Markus; Hoffmann, Sebastian; Weickert, Joachim; Tang, Ching Hoo; Setzer, Simon; Johannsen, Daniel; Neumann, Frank; Doerr, Benjamin
3
2017
An alternative approach towards the higher order denoising of images. analytical aspects. Zbl 1384.35019
Bildhauer, M.; Fuchs, M.; Weickert, J.
1
2017
Turning diffusion-based image colorization into efficient color compression. Zbl 1409.94488
Peter, Pascal; Kaufhold, Lilli; Weickert, Joachim
1
2017
Cyclic schemes for PDE-based image analysis. Zbl 1398.68600
Weickert, Joachim; Grewenig, Sven; Schroers, Christopher; Bruhn, Andrés
10
2016
The circular SiZer, inferred persistence of shape parameters and application to early stem cell differentiation. Zbl 1349.62195
Huckemann, Stephan; Kim, Kwang-Rae; Munk, Axel; Rehfeldt, Florian; Sommerfeld, Max; Weickert, Joachim; Wollnik, Carina
8
2016
Denoising and inpainting of images using TV-type energies: theoretical and computational aspects. Zbl 1381.94011
Bildhauer, M.; Fuchs, M.; Weickert, J.
6
2016
Morphological counterparts of linear shift-invariant scale-spaces. Zbl 1392.68428
Schmidt, Martin; Weickert, Joachim
5
2016
Pseudo-inverses of difference matrices and their application to sparse signal approximation. Zbl 1338.15013
Plonka, Gerlind; Hoffmann, Sebastian; Weickert, Joachim
2
2016
Mathematical foundations and generalisations of the census transform for robust optic flow computation. Zbl 1331.94020
Hafner, David; Demetz, Oliver; Weickert, Joachim; Reißel, Martin
1
2015
Morphologically invariant matching of structures with the complete rank transform. Zbl 1398.68574
Demetz, Oliver; Hafner, David; Weickert, Joachim
1
2015
Compressing images with diffusion- and exemplar-based inpainting. Zbl 1444.94021
Peter, Pascal; Weickert, Joachim
1
2015
Variational exposure fusion with optimal local contrast. Zbl 1451.65018
Hafner, David; Weickert, Joachim
1
2015
Dense versus sparse approaches for estimating the fundamental matrix. Zbl 1235.68293
Valgaerts, Levi; Bruhn, Andrés; Mainberger, Markus; Weickert, Joachim
3
2012
Optic flow scale space. Zbl 1309.94029
Demetz, Oliver; Weickert, Joachim; Bruhn, Andrés; Zimmer, Henning
2
2012
Mathematical image processing using ideas from Nature. (Mathematische Bildverarbeitung mit Ideen aus der Natur.) Zbl 1260.94022
Weickert, Joachim
2
2012
3D-coherence-enhancing diffusion filtering for matrix fields. Zbl 1245.94014
Burgeth, Bernhard; Pizarro, Luis; Didas, Stephan; Weickert, Joachim
2
2012
Dithering by differences of convex functions. Zbl 1214.49017
Teuber, T.; Steidl, G.; Gwosdek, P.; Schmaltz, C.; Weickert, J.
15
2011
Optic flow in harmony. Zbl 1235.94030
Zimmer, Henning; Bruhn, Andrés; Weickert, Joachim
7
2011
Highly accurate schemes for PDE-based morphology with general convex structuring elements. Zbl 1235.68249
Breuß, Michael; Weickert, Joachim
3
2011
Adaptive continuous-scale morphology for matrix fields. Zbl 1235.68250
Burgeth, Bernhard; Pizarro, Luis; Breuß, Michael; Weickert, Joachim
1
2011
Generalised nonlocal image smoothing. Zbl 1477.94020
Pizarro, Luis; Mrázek, Pavel; Didas, Stephan; Grewenig, Sven; Weickert, Joachim
2
2010
A general structure tensor concept and coherence-enhancing diffusion filtering for matrix fields. Zbl 1171.68788
Burgeth, Bernhard; Didas, Stephan; Weickert, Joachim
26
2009
How to choose interpolation data in images. Zbl 1190.94006
Belhachmi, Zakaria; Bucur, Dorin; Burgeth, Bernhard; Weickert, Joachim
10
2009
Properties of higher order nonlinear diffusion filtering. Zbl 1490.94011
Didas, S.; Weickert, J.; Burgeth, B.
6
2009
Visualization and processing of tensor fields. Advances and perspectives. Zbl 1159.68003
5
2009
PDE-based morphology for matrix fields: Numerical solution schemes. Zbl 1192.68762
Burgeth, Bernhard; Breuß, Michael; Didas, Stephan; Weickert, Joachim
5
2009
A directional Rouy-Tourin scheme for adaptive matrix-valued morphology. Zbl 1252.94017
Pizarro, Luis; Burgeth, Bernhard; Breuß, Michael; Weickert, Joachim
4
2009
A higher-order structure tensor. Zbl 1171.68812
Schultz, Thomas; Weickert, Joachim; Seidel, Hans-Peter
3
2009
Efficient numerical techniques for perspective shape from shading. Zbl 1171.65403
Breuss, Michael; Vogel, Oliver; Weickert, Joachim
1
2009
Locally analytic schemes: a link between diffusion filtering and wavelet shrinkage. Zbl 1161.68831
Welk, Martin; Steidl, Gabriele; Weickert, Joachim
15
2008
Image compression with anisotropic diffusion. Zbl 1448.94012
Galić, Irena; Weickert, Joachim; Welk, Martin; Bruhn, Andrés; Belyaev, Alexander; Seidel, Hans-Peter
6
2008
A generic approach to diffusion filtering of matrix-fields. Zbl 1158.35373
Burgeth, B.; Didas, S.; Florack, L.; Weickert, J.
8
2007
Mathematical morphology for matrix fields induced by the Loewner ordering in higher dimensions. Zbl 1186.94074
Burgeth, Bernhard; Bruhn, Andres; Papenberg, Nils; Welk, Martin; Weickert, Joachim
8
2007
Median and related local filters for tensor-valued images. Zbl 1186.94363
Welk, Martin; Weickert, Joachim; Becker, Florian; Schnörr, Christoph; Feddern, Christian; Burgeth, Bernhard
7
2007
Integrodifferential equations for continuous multiscale wavelet shrinkage. Zbl 1141.42318
Didas, Stephan; Weickert, Joachim
6
2007
On the application of projection methods for computing optical flow fields. Zbl 1147.68817
Schuster, Thomas; Weickert, Joachim
3
2007
Energy-based image simplification with nonlocal data and smoothness terms. Zbl 1147.65302
Didas, Stephan; Mrázek, Pavel; Weickert, Joachim
2
2007
A survey on variational optic flow methods for small displacements. Zbl 1231.68271
Weickert, Joachim; Bruhn, Andrés; Brox, Thomas; Papenberg, Nils
19
2006
Visualization and processing of tensor fields. Zbl 1084.68135
7
2006
Curvature-driven PDE methods for matrix-valued images. Zbl 1477.94010
Feddern, Christian; Weickert, Joachim; Burgeth, Bernhard; Welk, Martin
5
2006
A shock-capturing algorithm for the differential equations of dilation and erosion. Zbl 1478.94015
Breuß, Michael; Weickert, Joachim
3
2006
A multigrid platform for real-time motion computation with discontinuity-preserving variational methods. Zbl 1477.68336
Bruhn, Andrés; Weickert, Joachim; Kohlberger, Timo; Schnörr, Christoph
2
2006
Numerical aspects of TV flow. Zbl 1116.65099
Breuß, Michael; Bürgel, Andrea; Brox, Thomas; Sonar, Thomas; Weickert, Joachim
2
2006
Geometric properties for incomplete data. Zbl 1119.68215
1
2006
Towards PDE-based image compression. Zbl 1159.68589
Galić, Irena; Weickert, Joachim; Welk, Martin; Bruhn, Andrés; Belyaev, Alexander; Seidel, Hans-Peter
13
2005
Lucas/Kanade meets Horn/Schunck: combining local and global optic flow methods. Zbl 1477.68337
Bruhn, Andrés; Weickert, Joachim; Schnörr, Christoph
12
2005
Regularity and scale-space properties of fractional high order linear filtering. Zbl 1119.68469
Didas, Stephan; Burgeth, Bernhard; Imiya, Atsushi; Weickert, Joachim
9
2005
Scale space and PDE methods in computer vision. 5th international conference, Scale-Space 2005, Hofgeismar, Germany, April 7–9, 2005. Proceedings. Zbl 1070.68003
7
2005
PDE-based deconvolution with forward-backward diffusivities and diffusion tensors. Zbl 1119.68511
Welk, Martin; Theis, David; Brox, Thomas; Weickert, Joachim
7
2005
Discontinuity-preserving computation of variational optic flow in real-time. Zbl 1119.68462
Bruhn, Andrés; Weickert, Joachim; Kohlberger, Timo; Schnörr, Christoph
5
2005
A four-pixel scheme for singular differential equations. Zbl 1119.68512
Welk, Martin; Weickert, Joachim; Steidl, Gabriele
5
2005
Diffusion-inspired shrinkage functions and stability results for wavelet denoising. Zbl 1477.94019
Mrázek, Pavel; Weickert, Joachim; Steidl, Gabriele
4
2005
Stabilised nonlinear inverse diffusion for approximating hyperbolic PDEs. Zbl 1119.68459
Breuß, Michael; Brox, Thomas; Sonar, Thomas; Weickert, Joachim
3
2005
Relativistic scale-spaces. Zbl 1119.68463
Burgeth, Bernhard; Didas, Stephan; Weickert, Joachim
2
2005
Matrix-valued filters as convex programs. Zbl 1119.68509
Welk, Martin; Becker, Florian; Schnörr, Christoph; Weickert, Joachim
2
2005
High accuracy optical flow estimation based on a theory for warping. Zbl 1098.68736
Brox, Thomas; Bruhn, Andrés; Papenberg, Nils; Weickert, Joachim
61
2004
On the equivalence of soft wavelet shrinkage, Total variation diffusion, Total variation regularization, and SIDEs. Zbl 1083.94001
Steidl, Gabriele; Weickert, Joachim; Brox, Thomas; Mrázek, Pavel; Welk, Martin
48
2004
Morphological operations on matrix-valued images. Zbl 1098.68738
Burgeth, Bernhard; Welk, Martin; Feddern, Christian; Weickert, Joachim
10
2004
A TV flow based local scale measure for texture discrimination. Zbl 1098.68737
Brox, Thomas; Weickert, Joachim
5
2004
Parallel variational motion estimation by domain decomposition and cluster computing. Zbl 1098.68791
Kohlberger, Timo; Schnörr, Christoph; Bruhn, Andrés; Weickert, Joachim
1
2004
Correspondences between wavelet shrinkage and nonlinear diffusion. Zbl 1067.68758
Mrázek, Pavel; Weickert, Joachim; Steidl, Gabriele
9
2003
An explanation for the logarithmic connection between linear and morphological systems. Zbl 1067.68723
Burgeth, Bernhard; Weickert, Joachim
6
2003
Equivalence results for TV diffusion and TV regularisation. Zbl 1067.68722
Brox, Thomas; Welk, Martin; Steidl, Gabriele; Weickert, Joachim
2
2003
Diffusion snakes: Introducing statistical shape knowledge into the Mumford-Shah functional. Zbl 1012.68785
Cremers, Daniel; Tischhäuser, Florian; Weickert, Joachim; Schnörr, Christoph
22
2002
Diffusion and regularization of vector- and matrix-valued images. Zbl 1047.68143
Weickert, Joachim; Brox, Thomas
16
2002
Analysis of optical flow models in the framework of the calculus of variations. Zbl 1016.49002
Hinterberger, W.; Scherzer, O.; Schnörr, C.; Weickert, J.
13
2002
Fast implicit active contour models. Zbl 1017.68766
Kühne, Gerald; Weickert, Joachim; Beier, Markus; Effelsberg, Wolfgang
5
2002
Combining the advantages of local and global optic flow methods. Zbl 1017.68599
Bruhn, Andrés; Weickert, Joachim; Schnörr, Christoph
5
2002
Relations between soft wavelet shrinkage and total variation denoising. Zbl 1017.68889
Steidl, Gabriele; Weickert, Joachim
4
2002
Nonlinear matrix diffusion for optic flow estimation. Zbl 1017.68598
Brox, Thomas; Weickert, Joachim
4
2002
Variational optic flow computation with a spatio-temporal smoothness constraint. Zbl 0988.68821
Weickert, Joachim; Schnörr, Christoph
35
2001
A theoretical framework for convex regularizers in PDE-based computation of image motion. Zbl 0987.68600
Weickert, Joachim; Schnörr, Christoph
31
2001
Applications of nonlinear diffusion in image processing and computer vision. Zbl 0988.35070
Weickert, J.
21
2001
Efficient image segmentation using partial differential equations and morphology. Zbl 1003.68712
Weickert, Joachim
10
2001
Fast parallel algorithms for a broad class of nonlinear variational diffusion approaches. Zbl 1010.68934
Weickert, Joachim; Heers, Josef; Schnörr, Christoph; Zuiderveld, Karel J.; Scherzer, Otmar; Stiehl, H. Siegfried
1
2001
Relations between regularization and diffusion filtering. Zbl 0945.68183
Scherzer, Otmar; Weickert, Joachim
29
2000
Reliable estimation of dense optical flow fields with large displacements. Zbl 1060.68635
Alvarez, Luis; Weickert, Joachim; Sánchez, Javier
14
2000
Linear scale-space has first been proposed in Japan. Zbl 1002.68177
Weickert, Joachim; Ishikawa, Seiji; Imiya, Atsushi
27
1999
Information measures in scale-spaces. Zbl 0945.94005
Sporring, Jon; Weickert, Joachim
4
1999
Anisotropic diffusion in image processing. Zbl 0886.68131
Weickert, Joachim
281
1998
Anisotropic diffusion in image processing. Zbl 0888.68120
Weickert, Joachim
20
1996
Nonlinear diffusion scale-spaces: From the continuous to the discrete setting. Zbl 0851.68120
Weickert, Joachim
1
1996
Foundations and applications of nonlinear anisotropic diffusion filtering. Zbl 0884.68129
Weickert, J.
1
1996
A mathematical model for diffusion and exchange phenomena in ultra napkins. Zbl 0790.35050
Weickert, Joachim
1
1993
all top 5

Cited by 1,104 Authors

41 Weickert, Joachim
22 Steidl, Gabriele
16 Scherzer, Otmar
13 Breuß, Michael
12 Welk, Martin
11 Lindeberg, Tony
10 Cremers, Daniel
10 Duits, Remco
10 Guo, Zhichang
9 Burgeth, Bernhard F.
9 Gilboa, Guy
9 Schnörr, Christoph
9 Wu, Boying
8 Barbu, Tudor
8 Fuchs, Martin
8 Tai, Xuecheng
7 Bruhn, Andrés
7 Schönlieb, Carola-Bibiane
6 Bildhauer, Michael
6 Burger, Martin
6 Didas, Stephan
6 Setzer, Simon
5 Bergmann, Ronny
5 Caselles Costa, Vicent
5 Facciolo, Gabriele
5 Huang, Weizhang
5 Huckemann, Stephan F.
5 Laghrib, Amine
5 Lang, Lukas F.
5 Ma, Jianwei
5 Möller, Michael
5 Peyré, Gabriel
5 Plonka, Gerlind
5 Yezzi, Anthony jun.
4 Arias, Pablo
4 Bredies, Kristian
4 Brox, Thomas
4 Fitschen, Jan Henrik
4 Florack, Luc M. J.
4 Guidotti, Patrick Q.
4 Jost, Jürgen
4 Kirisits, Clemens
4 Kleefeld, Andreas
4 Lellmann, Jan
4 Lenzen, Frank
4 Müller, Jan-Steffen
4 Peter, Pascal
4 Pock, Thomas
4 Pu, Yifei
4 Riey, Giuseppe
4 Skrypnik, Igor Igorievich
4 Soatto, Stefano
4 Sochen, Nir
4 Sonar, Thomas
4 Sun, Jiebao
4 Valkonen, Tuomo
4 Voitovych, Mykhailo V.
4 Wang, Guofang
4 Xu, Guoliang
4 Zhang, Kewei
4 Zhang, Ni
4 Zhou, Jiliu
3 Afraites, Lekbir
3 Alimohammady, Mohsen
3 Angulo, Jesús
3 Åström, Freddie
3 Atlas, Abdelghafour
3 Aujol, Jean-François
3 Becker, Florian
3 Belhachmi, Zakaria
3 Bruckstein, Alfred Marcel
3 Bürgel, Andrea
3 Calder, Jeff
3 Cárdenas, Marcelo
3 Chambolle, Antonin
3 Chan, Tony Fan-Cheong
3 Dong, Bin
3 Duran, Joan
3 El Hamidi, Abdallah
3 Eltzner, Benjamin
3 Fornasier, Massimo
3 Grasmair, Markus
3 Hadri, Aissam
3 Hafner, David
3 Hakim, Abdelilah
3 Hoeltgen, Laurent
3 Janssen, Michiel H. J.
3 Jiang, Qingtang
3 Jin, Yan
3 Karami, Fahd
3 Kimmel, Ron
3 Kiryati, Nahum
3 Kuijper, Arjan
3 Lorenz, Dirk Alfred
3 March, Riccardo
3 Meskine, Driss
3 Mirebeau, Jean-Marie
3 Morel, Jean-Michel
3 Neumayer, Sebastian
3 Nikolova, Mila
...and 1,004 more Authors
all top 5

Cited in 190 Serials

96 Journal of Mathematical Imaging and Vision
64 International Journal of Computer Vision
38 SIAM Journal on Imaging Sciences
18 Pattern Recognition
17 Inverse Problems and Imaging
12 Computers & Mathematics with Applications
11 Journal of Computational and Applied Mathematics
10 Journal of Scientific Computing
8 Applied Numerical Mathematics
8 Abstract and Applied Analysis
8 International Journal of Wavelets, Multiresolution and Information Processing
7 Inverse Problems
7 Journal of Computational Physics
7 Journal of Mathematical Sciences (New York)
6 Applied Mathematics and Computation
6 Multidimensional Systems and Signal Processing
5 Applied and Computational Harmonic Analysis
5 Nonlinear Analysis. Real World Applications
4 Computing
4 Numerical Functional Analysis and Optimization
4 Numerical Algorithms
4 International Journal of Computer Mathematics
4 Mathematical Problems in Engineering
4 Discrete and Continuous Dynamical Systems. Series B
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 GEM - International Journal on Geomathematics
4 Journal of Mathematics
4 Mathematical Morphology. Theory and Applications
3 Applicable Analysis
3 International Journal for Numerical Methods in Fluids
3 Mathematics of Computation
3 Applied Mathematics and Optimization
3 BIT
3 Journal of Differential Equations
3 Numerische Mathematik
3 SIAM Journal on Numerical Analysis
3 Computer Aided Geometric Design
3 Signal Processing
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Computational Statistics and Data Analysis
3 Engineering Analysis with Boundary Elements
3 Applied Sciences
3 Computational Methods for Differential Equations
2 Computers and Fluids
2 Indian Journal of Pure & Applied Mathematics
2 Journal of the Franklin Institute
2 Journal of Mathematical Biology
2 Mathematical Methods in the Applied Sciences
2 Journal of Optimization Theory and Applications
2 Mathematics and Computers in Simulation
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Programming and Computer Software
2 Acta Mathematicae Applicatae Sinica. English Series
2 Numerical Methods for Partial Differential Equations
2 Applied Mathematical Modelling
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of Nonlinear Science
2 SIAM Journal on Scientific Computing
2 Calculus of Variations and Partial Differential Equations
2 St. Petersburg Mathematical Journal
2 Numerical Linear Algebra with Applications
2 Advances in Computational Mathematics
2 The Journal of Fourier Analysis and Applications
2 Computing and Visualization in Science
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 New Journal of Physics
2 Communications in Contemporary Mathematics
2 Foundations of Computational Mathematics
2 Multiscale Modeling & Simulation
2 Acta Numerica
2 Advances in Difference Equations
2 Boundary Value Problems
2 Complex Variables and Elliptic Equations
2 Computational & Mathematical Methods in Medicine
2 The Annals of Applied Statistics
2 International Journal for Numerical Methods in Biomedical Engineering
2 Information and Inference
2 Iranian Journal of Numerical Analysis and Optimization
2 Research in the Mathematical Sciences
2 Actes des Rencontres du C.I.R.M.
1 Archive for Rational Mechanics and Analysis
1 Biological Cybernetics
1 Bulletin of the Australian Mathematical Society
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 International Journal of Control
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Fluid Mechanics
1 Journal of Mathematical Analysis and Applications
1 Lithuanian Mathematical Journal
1 Nonlinearity
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Statistics
1 Calcolo
1 Fuzzy Sets and Systems
1 International Journal of Circuit Theory and Applications
1 International Journal for Numerical Methods in Engineering
1 Journal of Approximation Theory
...and 90 more Serials
all top 5

Cited in 44 Fields

321 Information and communication theory, circuits (94-XX)
279 Computer science (68-XX)
222 Numerical analysis (65-XX)
190 Partial differential equations (35-XX)
101 Calculus of variations and optimal control; optimization (49-XX)
60 Biology and other natural sciences (92-XX)
35 Statistics (62-XX)
32 Operations research, mathematical programming (90-XX)
21 Differential geometry (53-XX)
19 Harmonic analysis on Euclidean spaces (42-XX)
18 Fluid mechanics (76-XX)
17 Real functions (26-XX)
16 Probability theory and stochastic processes (60-XX)
14 Operator theory (47-XX)
14 Global analysis, analysis on manifolds (58-XX)
10 Functional analysis (46-XX)
10 Systems theory; control (93-XX)
9 Approximations and expansions (41-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Optics, electromagnetic theory (78-XX)
7 Ordinary differential equations (34-XX)
7 Dynamical systems and ergodic theory (37-XX)
5 Difference and functional equations (39-XX)
5 Convex and discrete geometry (52-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Geophysics (86-XX)
4 General and overarching topics; collections (00-XX)
4 Combinatorics (05-XX)
4 Integral equations (45-XX)
4 Mechanics of deformable solids (74-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Special functions (33-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year

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