Multiscale texture separation
Multiscale texture separation
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.
Jerome Gilles
数学
Jerome Gilles.Multiscale texture separation[EB/OL].(2024-10-31)[2025-08-25].https://arxiv.org/abs/2411.00894.点此复制
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