Construction of Bivariate Compactly Supported Biorthogonal Box Spline Wavelets with Arbitrarily High Regularities

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Construction of Bivariate Compactly Supported Biorthogonal Box Spline Wavelets with Arbitrarily High Regularities

(For properties of box spline functions, see [3, 2]. For computation of these bivariate box spline functions, see [4, 13].) It is known that Bl,m,n generates a multi-resolution approximation of L2(R ) (cf. [14]). We are interested in constructing a compactly supported function B̃l,m,n generating a multi-resolution approximation of L2(R ) which is a biorthogonal dual to Bl,m,n in the following se...

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ژورنال

عنوان ژورنال: Applied and Computational Harmonic Analysis

سال: 1999

ISSN: 1063-5203

DOI: 10.1006/acha.1998.0245