On construction of multivariate symmetric MRA-based wavelets

Research output

7 Citations (Scopus)

Abstract

Let n be an integer and c be an integer or a semi-integer. For an arbitrary matrix dilation, we describe all masks that are symmetric with respect to the point c and have sum rule of order n. For each such mask, we give explicit formulas for the wavelet masks that are point symmetric/antisymmetric and generate a frame-like wavelet system providing approximation order n. For any matrix dilation (that is appropriate for the axial symmetry group on Zd in some natural sense), axial symmetric/antisymmetric frame-like wavelet systems providing approximation order n are constructed. Also, for several matrix dilations, the explicit construction of highly symmetric frame-like wavelet systems providing approximation order n is presented.
Original languageEnglish
Pages (from-to)215-238
JournalApplied and Computational Harmonic Analysis
Volume36
Issue number2
DOIs
Publication statusPublished - 2014

Fingerprint Dive into the research topics of 'On construction of multivariate symmetric MRA-based wavelets'. Together they form a unique fingerprint.

Cite this