Multiscale texture separation

Jerome Gilles

doi:10.1137/120881579

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arXiv · 2411.00894

Multiscale texture separation

Jerome Gilles

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Abstract

In this paper, we investigate theoretically the behavior of Meyer's image cartoon + texture decomposition model. Our main results is a new theorem which shows that, by combining the decomposition model and a well chosen Littlewood-Paley filter, it is possible to extract almost perfectly a certain class of textures. This theorem leads us to the construction of a parameterless multiscale texture separation algorithm. Finally, we propose to extend this algorithm into a directional multiscale texture separation algorithm by designing a directional Littlewood-Paley filter bank. Several experiments show the efficiency of the proposed method both on synthetic and real images.

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Jerome Gilles. 2024-11-01. Multiscale texture separation. https://doi.org/10.1137/120881579

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