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Article
Orthonormal bases of compactly supported wavelets
Article first published online: 18 OCT 2006
DOI: 10.1002/cpa.3160410705
Copyright © 1988 Wiley Periodicals, Inc., A Wiley Company
1097-0312/asset/cover.gif?v=1&s=27e2b2132052ff78aa82eddfab7608281350adb9 "Communications on Pure and Applied Mathematics")
Additional Information
How to Cite
Daubechies, I. (1988), Orthonormal bases of compactly supported wavelets. Communications on Pure and Applied Mathematics, 41: 909–996. doi: 10.1002/cpa.3160410705
Publication History
- Issue published online: 18 OCT 2006
- Article first published online: 18 OCT 2006
- Manuscript Received:
Funded by
- “Bevoegdverklaard Navorser” at the Belgium National Science Foundation
- Department of Theoretical Physics, Vrije Universiteit, Brussel
- Abstract
- References
- Cited By
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.