simoneparisotto / TDV-for-image-denoising

This is a companion software for the submission: "Higher-Order Total Directional Variation: Imaging Applications" by Simone Parisotto , Jan Lellmann, Simon Masnou, and Carola-Bibiane Schönlieb. SIAM J. Imaging Sci., 13(4), 2063–2104. (42 pages)

(High-order) Total directional variation for Image Denoising

Author: S. Parisotto

Other authors J. Lellmann, S. Masnou and C.-B. Schönlieb

Version 1.0

Date: January 2019

This is a companion software for the submission

S. Parisotto, J. Lellmann, S. Masnou and C.-B. Schönlieb 
"Higher-Order Total Directional Variation: Imaging Applications"
SIAM J. Imaging Sci., 13(4), 2063–2104. (42 pages) 

Please use the following entry to cite this code:

@article{ParLelMasSch2018,
  author = {{Parisotto}, S. and {Lellmann}, J. and {Masnou}, S. and {Sch{\"o}nlieb}, C.-B.},
  title = {{Higher-Order Total Directional Variation: Imaging Applications}},
  journal = {SIAM Journal on Imaging Sciences},
  year = {2020},
  volume = {13},
  pages = {2063-2104},
  doi = {10.1137/19M1239209}
  }

Example

Image with Gaussian noise (std=51/255) vs. BM3D reconstruction vs. TDV reconstruction

Software acknowledgements

• Primal-dual proximal splitting
• BM3D
• export_fig
• Diverging Color Maps

LICENSE

BSD 3-Clause License