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- W2949836708 abstract "For an arbitrary matrix dilation, any integer n and any integer/semi-integer c, 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 wavelet functions that are point symmetric/antisymmetric and generate frame-like wavelet system providing approximation order n. For any matrix dilations (which are appropriate for axial symmetry group on R^2 in some natural sense) and given integer n, 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." @default.
- W2949836708 created "2019-06-27" @default.
- W2949836708 creator A5063768542 @default.
- W2949836708 date "2012-01-12" @default.
- W2949836708 modified "2023-09-25" @default.
- W2949836708 title "On construction of multivariate symmetric MRA-based wavelets" @default.
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- W2949836708 doi "https://doi.org/10.48550/arxiv.1201.2606" @default.
- W2949836708 hasPublicationYear "2012" @default.
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