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Orthonormal bases of compactly supported wavelets

Ingrid Daubechies · Communications on Pure and Applied Mathematics · 1988

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Author / responsible party
Ingrid Daubechies
Publisher
Communications on Pure and Applied Mathematics
Year
1988
Language
English

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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.

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APA 7

Daubechies, I. (1988). Orthonormal bases of compactly supported wavelets. https://doi.org/10.1002/cpa.3160410705

MLA

Daubechies, Ingrid. "Orthonormal bases of compactly supported wavelets." 1988. https://doi.org/10.1002/cpa.3160410705.

Chicago

Daubechies, Ingrid. 1988. "Orthonormal bases of compactly supported wavelets.". https://doi.org/10.1002/cpa.3160410705.

Harvard

Daubechies, I. 1988, Orthonormal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics, available at: https://doi.org/10.1002/cpa.3160410705 [Accessed 7 Aug. 2026].

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Title
Orthonormal bases of compactly supported wavelets
Author / contributors
Ingrid Daubechies
Publisher
Communications on Pure and Applied Mathematics
Publication year
1988
Language
English

Subjects

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Orthonormal basis; Wavelet; Mathematics; Multiresolution analysis; Construct (python library); Order (exchange); Decomposition; Pure mathematics; Algebra over a field; Applied mathematics; Wavelet transform; Artificial intelligence
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