• DOI:10.1002/CPA.3160410705
Corpus ID: 2727398

Orthonormal bases of compactly supported wavelets

@article{Daubechies1988OrthonormalBO,
  title={Orthonormal bases of compactly supported wavelets},
  author={I. Daubechies},
  journal={Communications on Pure and Applied Mathematics},
  year={1988},
  volume={41},
  pages={909-996}
}

I. Daubechies

Published 1988

Mathematics

Communications on Pure and Applied Mathematics

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We construct orthonormal bases of compactly supported wavelets, with arbitrarily high regularity. The order of regularity increases linearly with the support width. We start by reviewing the concept of multiresolution analysis as well as several algorithms in vision decomposition and reconstruction. The construction then follows from a synthesis of these different approaches.