Multivariate Wavelet Frames

2007/04/18 by M. Skopina, Skopina, M. · 2 citations
Computer Science · Mathematics · #42C40 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Image and Signal Denoising Methods #math.CA #msc:42C40

paper · pdf · doi:10.48550/arxiv.0704.2395

LaTex file, 28 pages

arxiv created 2007/04/18 · openalex publication_date 2007/04/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We proved that for any matrix dilation and for any positive integer n, there exists a compactly supported tight wavelet frame with approximation order n. Explicit methods for construction of dual and tight wavelet frames with a given number of vanishing moments are suggested.

Cited by

• Construction of Bases in Modules over Laurent Polynomial Rings and Applications to Box Spline Prewavelets
• Discrete frames of non-uniform shifts in frequency domain

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