<html> <head> <meta http-equiv="content-type" content="text/html; charset=ISO-8859-1"> </head> <body bgcolor="#FFFFFF" text="#000000"> A new preprint is available in IPOL: <a class="moz-txt-link-freetext" href="http://www.ipol.im/pub/pre/103/">http://www.ipol.im/pub/pre/103/</a> <meta charset="utf-8"> 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. </body> </html>