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Orthonormal bases of compactly supported wavelets

Publication ,  Journal Article
Daubechies, I
Published in: Communications on Pure and Applied Mathematics
January 1, 1988

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. Copyright © 1988 Wiley Periodicals, Inc., A Wiley Company

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Published In

Communications on Pure and Applied Mathematics

DOI

EISSN

1097-0312

ISSN

0010-3640

Publication Date

January 1, 1988

Volume

41

Issue

7

Start / End Page

909 / 996

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

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Daubechies, I. (1988). Orthonormal bases of compactly supported wavelets. Communications on Pure and Applied Mathematics, 41(7), 909–996. https://doi.org/10.1002/cpa.3160410705
Daubechies, I. “Orthonormal bases of compactly supported wavelets.” Communications on Pure and Applied Mathematics 41, no. 7 (January 1, 1988): 909–96. https://doi.org/10.1002/cpa.3160410705.
Daubechies I. Orthonormal bases of compactly supported wavelets. Communications on Pure and Applied Mathematics. 1988 Jan 1;41(7):909–96.
Daubechies, I. “Orthonormal bases of compactly supported wavelets.” Communications on Pure and Applied Mathematics, vol. 41, no. 7, Jan. 1988, pp. 909–96. Scopus, doi:10.1002/cpa.3160410705.
Daubechies I. Orthonormal bases of compactly supported wavelets. Communications on Pure and Applied Mathematics. 1988 Jan 1;41(7):909–996.
Journal cover image

Published In

Communications on Pure and Applied Mathematics

DOI

EISSN

1097-0312

ISSN

0010-3640

Publication Date

January 1, 1988

Volume

41

Issue

7

Start / End Page

909 / 996

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics