Title :
Nonstandard diffusion in image restoration and decomposition
Author :
Hamidi, A. El ; Ghannam, C. ; Bailly-Maitre, G. ; Menard, M.
Author_Institution :
Lab. MIA, Univ. of La Rochelle, La Rochelle, France
Abstract :
This work deals with image restoration and decomposition, into geometric and texture components, via nonstandard diffusion. A genuine class of convex functionals, for which the corresponding minimization problems have existence and uniqueness solutions, is proposed. Finally, efficient regularization or decomposition algorithms, based on projection methods, are proposed in the case of scalar and vectorial images.
Keywords :
convex programming; function approximation; image colour analysis; image restoration; image texture; minimisation; convex functionals; decomposition algorithm; existence solution; geometric component; image decomposition; image restoration; nonstandard diffusion; projection methods; regularization algorithm; scalar image; texture component; uniqueness solutions; vectorial image; Color; Degradation; Filters; Image restoration; Interpolation; Laplace equations; Polynomials; White noise; Chambolle´s projection; color image; nonstandard diffusion; texture; total variation;
Conference_Titel :
Image Processing (ICIP), 2009 16th IEEE International Conference on
Conference_Location :
Cairo
Print_ISBN :
978-1-4244-5653-6
Electronic_ISBN :
1522-4880
DOI :
10.1109/ICIP.2009.5414037
