Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605544 | Applied and Computational Harmonic Analysis | 2008 | 8 Pages |
Abstract
Using results on syzygy modules over a multivariate polynomial ring, we are able to construct compactly supported wavelet bi-frames with few generators from almost any pair of compactly supported multivariate refinable functions. In our examples, we focus on wavelet bi-frames whose primal and dual wavelets are both derived from one box spline function. Our wavelet bi-frames have fewer generators than comparable constructions available in the literature.
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