Construction of trivariate compactly supported biorthogonal box spline wavelets

Authors:
Wenjie He;Ming-Jun Lai
Affiliations:
Department of Mathematics, University of Georgia, Athens, GA;Department of Mathematics and Computer Science, University of Missouri, St. Louis, MO
Venue:
Journal of Approximation Theory
Year:
2003

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Abstract

We give a formula for the duals of the masks associated with trivariate box spline functions. We show how to construct trivariate nonseparable compactly supported biorthogonal wavelets associated with box spline functions. The biorthogonal wavelets may have arbitrarily high regularities.