Fast cartoon + texture image filters

Abstract : Can images be decomposed into the sum of a geometric part and a textural part? In a theoretical breakthrough, Yves Meyer proposed 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. It is the object of a literature rich in variants and numerical attempts. This paper starts with the linear model, which reduces to a low-pass/high-pass filter pair. A simple conversion of the linear filter pair into a non-linear filter pair involving the total variation is introduced. This new-proposed nonlinear filter pair retains both the essential features of Meyer's models and the simplicity and rapidity of the linear model. It depends on only one transparent parameter: the texture scale, measured in pixel mesh. Comparative experiments show a better and faster separation of cartoon from texture. One application is illustrated: edge detection.
Type de document :
Pré-publication, Document de travail
MAP5 2010-05. 2010
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Contributeur : Antoni Buades <>
Soumis le : jeudi 4 février 2010 - 11:12:00
Dernière modification le : jeudi 9 février 2017 - 15:35:34
Document(s) archivé(s) le : vendredi 18 juin 2010 - 18:49:19


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  • HAL Id : hal-00453255, version 1



Antoni Buades, Triet Le, Jean-Michel Morel, Luminita Vese. Fast cartoon + texture image filters. MAP5 2010-05. 2010. <hal-00453255>



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