Publications

Selected publications of Pavel Mrázek are listed below, newest first.

2006

• T. Brox, R. van den Boomgaard, F. Lauze, J. van de Weijer, J. Weickert, P. Mrázek, P. Kornprobst:
  Adaptive structure tensors and their applications.
  In J. Weickert, H. Hagen (Eds.): Visualization and Processing of Tensor Fields. Springer, Berlin, 2006.
  

  Revised version of Technical Report No. 141, Department of Mathematics, Saarland University, Saarbrücken, Germany, 2005.
  

• J. Weickert, G. Steidl, P. Mrázek, M. Welk, T. Brox:
  Diffusion filters and wavelets: What can they learn from each other?
  In N. Paragios, Y. Chen, O. Faugeras (Eds.): Handbook of Mathematical Models in Computer Vision. Springer, New York, 2006.
  

  Also available as Preprint No. 77, DFG Priority Programme 1114, University of Bremen, Germany, January 2005.
  

• P. Mrázek, J. Weickert, A. Bruhn:
  On robust estimation and smoothing with spatial and tonal kernels.
  In R. Klette, R. Kozera, L. Noakes, J. Weickert (Eds.): Geometric Properties from Incomplete Data. Springer 2006.
  

  Revised version of Preprint No. 51, DFG Priority Program 1114, University of Bremen, Germany, June 2004.

• T. Brox, J. Weickert, B. Burgeth, P. Mrázek:
  Nonlinear structure tensors.
  Image and Vision Computing, 24(1): 41-55, January 2006.
  

  Revised version of Technical Report No. 113, Department of Mathematics, Saarland University, Saarbrücken, Germany, 2004.
  

2005

• S. Didas, P. Mrázek, J. Weickert:
  Energy-based image simplification with nonlocal data and smoothness terms.
  Preprint No. 136, Series DFG-SPP 1114, Department of Mathematics, University of Bremen, Germany, November 2005.
• P. Mrázek, J. Weickert, G. Steidl:
  Diffusion-inspired shrinkage functions and stability results for wavelet denoising.
  International Journal of Computer Vision, Vol. 64, No. 2/3, 171-186, Sept. 2005.
  

• P. Mrázek, J. Weickert:
  From two-dimensional nonlinear diffusion to coupled Haar wavelet shrinkage.
  Preprint No. 132, DFG Priority Programme 1114, University of Bremen, Germany, August 2005.
  

2004

• G. Steidl, J. Weickert, T. Brox, P. Mrázek and M. Welk
  On the equivalence of soft wavelet shrinkage, total variation diffusion, total variation regularization, and SIDEs
  SIAM Journal on Numerical Analysis 42 (2), pp.686-713, 2004. [Bib]

  An extended version appeared as Technical Report No. 94, Department of Mathematics, Saarland University, Saarbrücken, Germany, August 2003. [Bib]

2003

• P. Mrázek and J. Weickert
  Rotationally invariant wavelet shrinkage
  B. Michaelis and G. Krell (Eds.): DAGM 2003, LNCS 2781, pp. 156-163. Springer, 2003. [Bib]

• P. Mrázek, J. Weickert and G. Steidl
  Correspondences between wavelet shrinkage and nonlinear diffusion
  L.D. Griffin and M. Lillholm (Eds.): Scale-Space 2003, LNCS 2695, pp. 101-116. Springer, 2003. [Bib]

• P. Mrázek and M. Navara
  Selection of optimal stopping time for nonlinear diffusion filtering
  International Journal of Computer Vision, 52 (2/3), pp.189-203. Kluwer Academic Publishers, 2003. [Bib]

• P. Mrázek, J. Weickert, G. Steidl and M. Welk
  On iterations and scales of nonlinear filters
  O. Drbohlav (ed.): Computer Vision Winter Workshop 2003, Valtice, Czech Republic, pp.61-66. Czech Pattern Recognition Society, 2003. [Bib]

2002

• P. Mrázek
  Monotonicity enhancing nonlinear diffusion
  Journal of Visual Communication and Image Representation, Vol. 13, No. 1-2, pp. 313-323, Academic Press, 2002. [Bib]

  Available here through ScienceDirect.

• P. Mrázek
  Decorrelation criterion to select diffusion stopping time: experimental evaluation
  Research Report K333-13/02 and CTU-CMP-2002-01, Department of Cybernetics, Faculty of Electrical Engineering, Czech Technical University, Prague, January 2002. [Bib]

2001

• P. Mrázek
  Nonlinear diffusion for image filtering and monotonicity enhancement
  PhD Thesis, Czech Technical University, Prague, June 2001. [Bib]

• P. Mrázek
  Selection of optimal stopping time for nonlinear diffusion filtering
  M. Kerckhove (ed.): Scale-Space and Morphology in Computer Vision. Third International Conference, Scale-Space 2001, Vancouver, Canada, pp.290-298. Springer-Verlag, 2001. [Bib]

• P. Mrázek and M. Navara
  Consistent positive directional splitting of anisotropic diffusion
  Bostjan Likar (ed.): Computer Vision Winter Workshop 2001, Bled, Slovenia, 7-9 February 2001. [Bib]

2000

• P. Mrázek
  Enhancing monotonicity by nonlinear diffusion of image derivatives
  T. Svoboda (ed.): Czech Patern Recognition Workshop 2000, Perslak, Czech Republic, 2-4 February 2000. Czech Pattern Recognition Society. [Bib]

1999

• A. J. Stoddart, P. Mrázek, D. Ewins and D. Hynd
  A computational method for hip joint centre location from optical markers
  In: BMVC'99, Proceedings of the 10th British Machine Vision Conference, 13-16 Sept. 1999, Nottingham, U.K.
  [109kB postscript], [Bib]

• P. Mrázek
  Monotonicity in interpolation and approximation
  Research report K335-CMP/99/179, Czech Technical University, Prague, 1999.
  [1525kB postscript], [Bib]

1996

• P. Mrázek
  Model-based segmentation of medical data
  Master's thesis, Czech Technical University, Prague, 1996.
  [2041kB postscript] , [Bib]

• P. Mrázek
  Genetic algorithms and image search
  WSCG'96, 4. International Conference in Central Europe on Computer Graphics and Visualisation, Pilsen 1996.
  [286kB postscript], [Bib]