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Tight wavelet frames for subdivision

✍ Scribed by Maria Charina; Joachim Stöckler

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
435 KB
Volume
221
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper we construct multivariate tight wavelet frame decompositions for scalar and vector subdivision schemes with nonnegative masks. The constructed frame generators have one vanishing moment and are obtained by factorizing certain positive semi-definite matrices. The construction is local and allows us to obtain framelets even in the vicinity of irregular vertices. Constructing tight frames, instead of wavelet bases, we avoid extra computations of the dual masks. In addition, the frame decomposition algorithm is stable as the discrete frame transform is an isometry on 2 , if the data are properly normalized.

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