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Image decomposition, image restoration, and texture modeling using total variation minimization and the H-1 norm

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3 Author(s)
Osher, S. ; Dept. of Math., Univ. of Southern California, Los Angeles, CA, USA ; Sole, A. ; Vese, L.

We propose a new model for image restoration and decomposition, based on the total variation minimization of Rudin-Osher-Fatemi (1992), and on some new techniques by Y. Meyer (2002) for oscillatory functions. An initial image f is decomposed into a cartoon part u and a texture or noise part v. The u component is modeled by a function of bounded variation, while the v component by an oscillatory function, with bounded H-1 norm. After some transformation, the resulting PDE is of fourth order. The proposed model continues the ideas and techniques previously introduced by the authors in L Vese et al., (2002). Image decomposition and denoising numerical results will be shown by the proposed new fourth order nonlinear partial differential equation.

Published in:

Image Processing, 2003. ICIP 2003. Proceedings. 2003 International Conference on  (Volume:1 )

Date of Conference:

14-17 Sept. 2003