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Bivariate Daubechies Scaling Functions (Wavelets)

Functional Analysis 2007-05-23 v1 Mathematical Physics math.MP

Abstract

Using the Daubechies conditions of compact support, orthogonal, and regularity, we were able to derive bivariate scaling functions with which to reproduce linear functions (planes). We describe how to create all possible masks of refinement coefficients that satisfy those conditions.

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Cite

@article{arxiv.math/0103198,
  title  = {Bivariate Daubechies Scaling Functions (Wavelets)},
  author = {Edward Aboufadel and Amanda Cox and Amy Vander Zee},
  journal= {arXiv preprint arXiv:math/0103198},
  year   = {2007}
}

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10 pages