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

Research output

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 a technique providing the -symmetry property for each wavelet function is given for the above three methods.
Translated title of the contributionОт фреймоподобных систем к фреймам всплесков с сохранением аппроксимационных свойств и симметрии
Original languageEnglish
Pages (from-to)204-218
JournalApplied Mathematics and Computation
Volume344-345
Early online date31 Oct 2018
DOIs
Publication statusPublished - 1 Mar 2019

Scopus subject areas

  • Analysis

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