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Wavelets and self-affine tilings

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Abstract

Given a self-affine periodic tiling ofR n we construct an associatedr-regular multiresolution analysis and wavelet basis with the same lattice of translations and scaling matrix as the tiling.

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Authors and Affiliations

  1. Mathematics Department, Cornell University, 14853, Ithaca, New York, U.S.A.

    Robert S. Strichartz

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  1. Robert S. Strichartz
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Communicated by Ronald A. DeVore.

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Strichartz, R.S. Wavelets and self-affine tilings. Constr. Approx 9, 327–346 (1993). https://doi.org/10.1007/BF01198010

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  • DOI: https://doi.org/10.1007/BF01198010

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