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Shearlet frames with short support

2011/01/25 by Song Li, Li Song, Yi Shen +2
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Digital Filter Design and Implementation #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #math.FA

paper · pdf · doi:10.48550/arxiv.1101.4725

arxiv created 2011/01/25 · openalex publication_date 2011/01/25 · arxiv updated 2011/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Compactly supported shearlets have been studied in both theory and applications. In this paper, we construct symmetric compactly supported shearlet systems based on pseudo splines of type II. Specially, using B-splines, we construct shearlet frame having explicit analytical forms which is important for applications. The shearlet systems based on B-splines also provide optimally sparse approximation within cartoon-liked image.

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