Projected Gradient Based Color Image Decomposition

Authors:
Vincent Duval;Jean-François Aujol;Luminita Vese
Affiliations:
Institut TELECOM, TELECOM ParisTech, CNRS UMR 5141,;CMLA, ENS Cachan, CNRS, UniverSud,;Mathematics Department, UCLA,
Venue:
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Year:
2009

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Abstract

This work deals with color image processing, with a focus on color image decomposition. The problem of image decomposition consists in splitting an original image f into two components u and v = f *** u . u contains the geometric information of the original image, while v is made of the oscillating patterns of f , such as textures. We propose a numerical scheme based on a projected gradient algorithm to compute the solution of various decomposition models for color images or vector-valued images. A direct convergence proof of the scheme is provided, and some analysis on color texture modeling is given.