[IPOL announce] new preprint: Cartoon + texture image decomposition by the TV-L1 model

[announcements about the IPOL journal]

A new preprint is available in IPOL: http://www.ipol.im/pub/pre/103/

Cartoon + texture image decomposition by the TV-L1 model
by Vincent Le Guen

Abstract
The cartoon + texture problem aims at decomposing an image into a 
geometric part and a textural part. Yves Meyer was the first to propose 
variational models that force the geometric part into the space of 
functions with bounded variation, and the textural part into a space of 
oscillatory distributions. Meyer's models are simple minimization 
problems extending the famous total variation model. However, their 
numerical solution has proved challenging.
There exists a wide literature of variants and numerical attempts to 
solve these optimization problems. In this paper, we present an 
implementation of a primal dual algorithm proposed by Antonin Chambolle 
and Thomas Pock applied to this image decomposition problem, formalized 
by the TV-L1 model initiated by Tony Chan and Selim Esedoglu. A thorough 
experimental comparison is performed with a recent filter pair proposed 
in IPOL for the cartoon+texture decomposition.




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