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

fYear

2009

fDate

7-10 Nov. 2009

Firstpage

3945

Lastpage

3948

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing (ICIP), 2009 16th IEEE International Conference on

Conference_Location

Cairo

ISSN

1522-4880

Print_ISBN

978-1-4244-5653-6

Electronic_ISBN

1522-4880

Type

conf

DOI

10.1109/ICIP.2009.5414037

Filename

5414037