Article ID Journal Published Year Pages File Type
4605707 Applied and Computational Harmonic Analysis 2006 16 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis