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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IPOL - Image Processing On Line - http://ipol.im/
contact [email protected] - http://www.ipol.im/meta/contact/
news+feeds twitter @IPOL_journal - http://www.ipol.im/meta/feeds/
announces [email protected] - http://tools.ipol.im/mm/announce/
discussions [email protected] - http://tools.ipol.im/mm/discuss/
