Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605069 | Applied and Computational Harmonic Analysis | 2014 | 24 Pages |
Abstract
Let n be an integer and c be an integer or a semi-integer. For an arbitrary matrix dilation, we describe all masks that are symmetric with respect to the point c and have sum rule of order n. For each such mask, we give explicit formulas for the wavelet masks that are point symmetric/antisymmetric and generate a frame-like wavelet system providing approximation order n  . For any matrix dilation (that is appropriate for the axial symmetry group on ZdZd in some natural sense), axial symmetric/antisymmetric frame-like wavelet systems providing approximation order n are constructed. Also, for several matrix dilations, the explicit construction of highly symmetric frame-like wavelet systems providing approximation order n is presented.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
A.V. Krivoshein,