Image representation and denoising using squared eigenfunctions of Schrodinger operator

2014/09/12 by Zineb Kaisserli, Taous-Meriem Laleg-Kirati, Kaisserli, Zineb +2
Computer Science · Engineering · Mathematics · #Advanced Image Fusion Techniques #FOS: Mathematics #Image and Signal Denoising Methods #Medical Image Segmentation Techniques #Spectral Theory (math.SP) #math.SP

paper · pdf · doi:10.48550/arxiv.1409.3720

26 pages

arxiv created 2014/09/12 · openalex publication_date 2014/09/12 · arxiv updated 2014/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper extends to two dimensions the recent signal analysis method based on the semi-classical analysis of the Schrodinger operator. The generalization uses the separation of variables technique when writing the eigenfunctions of the Schrodinger operator. The algorithm is described and the effect of some parameters on the convergence of this method are numerically studied. Some examples on image reconstruction and denosing are illustrated.

Citations

• Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries
• rm K-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation

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