2024/01/27 by Takanobu Furuhashi, Furuhashi, Takanobu, Hidekata Hontani +3 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Image Fusion Techniques #FOS: Computer and information sciences #FOS: Electrical engineering #Image and Signal Denoising Methods #Machine Learning (cs.LG) #Signal Processing (eess.SP) #Statistical and numerical algorithms #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2401.15292
openalex publication_date 2024/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a convex and fast signal reconstruction method for block sparsity under arbitrary linear transform with unknown block structure. The proposed method is a generalization of the similar existing method and can reconstruct signals with block sparsity under non-invertible transforms, unlike the existing method. Our work broadens the scope of block sparse regularization, enabling more versatile and powerful applications across various signal processing domains. We derive an iterative algorithm for solving proposed method and provide conditions for its convergence to the optimal solution. Numerical experiments demonstrate the effectiveness of the proposed method.