From frame-like wavelets to wavelet frames keeping approximation properties and symmetry

A.V. Krivoshein

Applied Mathematics and Computation, 2019, vol. 344-345, 204-218

Abstract: For a given symmetric refinable mask obeying the sum rule of order n, an explicit method is suggested for the construction of mutually symmetric almost frame-like wavelet system providing approximation order n. A transformation based on the lifting scheme is described that allows to improve almost frame-like wavelets up to dual wavelet frames and preserve other properties. A direct method for the construction of dual wavelet frames providing approximation order n and mutual symmetry properties is also discussed. For an abelian symmetry group H, a technique providing the H-symmetry property for each wavelet function is given for the above three methods.

Keywords: Multivariate wavelets; Frames; Symmetry; Lifting Scheme (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:344-345:y:2019:i::p:204-218

DOI: 10.1016/j.amc.2018.10.004

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