Papers › Convolutional Simultaneous Sparse Approximation with Applications to RGB-NIR Image Fusion

Convolutional Simultaneous Sparse Approximation with Applications to RGB-NIR Image Fusion

18 Mar 2022arXiv:2203.09913archive 2025-07-28

Farshad G. Veshki, Sergiy A. Vorobyov

Simultaneous sparse approximation (SSA) seeks to represent a set of dependent signals using sparse vectors with identical supports. The SSA model has been used in various signal and image processing applications involving multiple correlated input signals. In this paper, we propose algorithms for convolutional SSA (CSSA) based on the alternating direction method of multipliers. Specifically, we address the CSSA problem with different sparsity structures and the convolutional feature learning problem in multimodal data/signals based on the SSA model. We evaluate the proposed algorithms by applying them to multimodal and multifocus image fusion problems.

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