Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605707 | Applied and Computational Harmonic Analysis | 2006 | 16 Pages |
Abstract
Wavelets with matrix dilation are studied. An explicit formula for masks providing vanishing moments is found. The class of interpolatory masks providing vanishing moments is also described. For an interpolatory mask, formulas for a dual mask which also provides vanishing moments of the same order and for wavelet masks are given explicitly. An example of construction of symmetric and antisymmetric wavelets for a concrete matrix dilation is presented.
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Physical Sciences and Engineering
Mathematics
Analysis