Multivariate symmetric refinable functions and function vectors

Research output

2 Citations (Scopus)

Abstract

For any symmetry group, any appropriate matrix dilation (compatible with) and any appropriate symmetry center c we give an explicit method for the construction of -symmetric with respect to the center c refinable masks which have sum rule of an arbitrary order n. Moreover, we give a description of all these masks. For any symmetry group , any appropriate matrix dilation (compatible with) and any appropriate row of symmetry centers C we give two explicit methods for the construction of -symmetric with respect to the row of centers C refinable matrix masks which have sum rule of an arbitrary order n. A description of all such matrix masks is also presented.
Original languageEnglish
Pages (from-to)1-25
JournalInternational Journal of Wavelets, Multiresolution and Information Processing
Volume14
Issue number5
DOIs
Publication statusPublished - 2016

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