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1988•Communications on Pure and Applied MathematicsRequires access

Orthonormal bases of compactly supported wavelets

Ingrid Daubechies

Open publisher page 8,217 citations

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.

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What this paper is about

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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Available 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.

Key concepts: Orthonormal basis, Wavelet, Mathematics, Multiresolution analysis, Construct (python library), Order (exchange), Decomposition, Pure mathematics

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