We give a simple and explicit construction of primal and dual wavelet filters based on refinable multivariate splines (with respect to dilation matrices M) such that the corresponding wavelet functions generate dual affine frames of arbitrarily high regularity. Furthermore, the number of wavelets does not depend on the regularity. We apply the method also to generalized B-splines.

Affine frames of multivariate box splines and their affine duals / M.E. Salvatori, P.M. Soardi. - In: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. - ISSN 1069-5869. - 8:3(2002), pp. 269-290.

Affine frames of multivariate box splines and their affine duals

M.E. Salvatori
Primo
;
2002

Abstract

We give a simple and explicit construction of primal and dual wavelet filters based on refinable multivariate splines (with respect to dilation matrices M) such that the corresponding wavelet functions generate dual affine frames of arbitrarily high regularity. Furthermore, the number of wavelets does not depend on the regularity. We apply the method also to generalized B-splines.
Settore MAT/05 - Analisi Matematica
2002
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/24353
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