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Tight frames of compactly supported multivariate multi-wavelets

✍ Scribed by Maria Charina; Charles K. Chui; Wenjie He

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
927 KB
Volume
233
Category
Article
ISSN
0377-0427

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✦ Synopsis

This paper is devoted to the study and construction of compactly supported tight frames of multivariate multi-wavelets. In particular, a necessary condition for their existence is derived to provide some useful guide for constructing such MRA tight frames, by reducing the factorization task of the associated polyphase matrix-valued Laurent polynomial to that of certain scalar-valued non-negative ones. We illustrate our construction method with examples of both multivariate scalar-and vector-valued subdivision schemes. Since our constructions for C 1 and C 2 piecewise cubic schemes are quite involved, we also include the corresponding Matlab code in the Appendix.

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