Post-Composition Primal-Dual Algorithm for Texture, Geometry, and Noise Separation

In this paper, we propose a new algorithm for separating geometry and texture in noisy images. The proposed algorithm uses a novel primal-dual approach exploiting postcomposition. We show that the latter exhibits significantly better computational performance than standard forward-backward iterations and provides a more flexible formulation, opening the door to future integration with proximal neural networks.

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Published
2025-09-08
DOI
https://doi.org/10.23919/eusipco63237.2025.11226623
Primary Topic
Image and Signal Denoising Methods
Type
article
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article

Post-Composition Primal-Dual Algorithm for Texture, Geometry, and Noise Separation

Luis M. Briceño-Arias, Adrien Meynard, Sylvain Meignen, Nelly Pustelnik
Image and Signal Denoising Methods
article

Post-Composition Primal-Dual Algorithm for Texture, Geometry, and Noise Separation

Luis M. Briceño-Arias, Adrien Meynard, Sylvain Meignen, Nelly Pustelnik
article en

Abstract

In this paper, we propose a new algorithm for separating geometry and texture in noisy images. The proposed algorithm uses a novel primal-dual approach exploiting postcomposition. We show that the latter exhibits significantly better computational performance than standard forward-backward iterations and provides a more flexible formulation, opening the door to future integration with proximal neural networks.

École Normale Supérieure de Lyon (FR), Centre National de la Recherche Scientifique (FR), Laboratoire de Physique de l'ENS de Lyon (FR), Laboratoire Jean Kuntzmann (FR), Federico Santa María Technical University (CL), Université Grenoble Alpes (FR)
Openalex Percentile: Top 71%
Image and Signal Denoising Methods
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Post-Composition Primal-Dual Algorithm for Texture, Geometry, and Noise Separation — Luis M. Briceño-Arias, Adrien Meynard, et al. · (2025) | TGRS Research Map | TGRS