Tight wavelet frames for subdivision

[摘要] 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 l(2), if the data are properly normalized. (C) 2007 Elsevier B.V. All rights reserved.

[发布日期] 2008-11-15

[效力级别]  Proceedings Paper

[关键词] Wavelet frames;Irregular MRA;Loop subdivisions;Multi-wavelets