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Orthonormal bases of compactly supported wavelets
Author(s) -
Daubechies Ingrid
Publication year - 1988
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160410705
Subject(s) - orthonormal basis , wavelet , mathematics , multiresolution analysis , construct (python library) , order (exchange) , decomposition , pure mathematics , algebra over a field , wavelet transform , artificial intelligence , computer science , discrete wavelet transform , ecology , physics , finance , quantum mechanics , economics , biology , programming language
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.