Abstract
Abstract 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.
Keywords
Orthonormal basisWaveletMathematicsMultiresolution analysisConstruct (python library)Order (exchange)DecompositionPure mathematicsAlgebra over a fieldApplied mathematicsWavelet transformArtificial intelligenceComputer scienceDiscrete wavelet transform
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Publication Info
- Year
- 1988
- Type
- article
- Volume
- 41
- Issue
- 7
- Pages
- 909-996
- Citations
- 8080
- Access
- Closed
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Cite This
Ingrid Daubechies
(1988).
Orthonormal bases of compactly supported wavelets.
Communications on Pure and Applied Mathematics
, 41
(7)
, 909-996.
https://doi.org/10.1002/cpa.3160410705
Identifiers
- DOI
- 10.1002/cpa.3160410705