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

Wenjie He; Ming-Jun Lai

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

Wenjie He, Ming-Jun Lai

University of Missouri-St. Louis

Research output: Contribution to journal › Article › peer-review

Abstract

We give a simple formula for the duals of the filters associated with bivariate box spline functions. We show how to construct bivariate non-separable compactly supported biorthogonal wavelets associated with box spline functions which have arbitrarily high regularities.

Original language	American English
Journal	Applied and Computational Harmonic Analysis
State	Published - 1999

Disciplines

Mathematics

Cite this

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title = "Construction of Bivariate Compactly Supported Biorthogonal Box Spline Wavelets with Arbitrarily High Regularities",

abstract = " We give a simple formula for the duals of the filters associated with bivariate box spline functions. We show how to construct bivariate non-separable compactly supported biorthogonal wavelets associated with box spline functions which have arbitrarily high regularities.",

author = "Wenjie He and Ming-Jun Lai",

year = "1999",

language = "American English",

journal = "Applied and Computational Harmonic Analysis",

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T1 - Construction of Bivariate Compactly Supported Biorthogonal Box Spline Wavelets with Arbitrarily High Regularities

AU - He, Wenjie

AU - Lai, Ming-Jun

PY - 1999

Y1 - 1999

N2 - We give a simple formula for the duals of the filters associated with bivariate box spline functions. We show how to construct bivariate non-separable compactly supported biorthogonal wavelets associated with box spline functions which have arbitrarily high regularities.

AB - We give a simple formula for the duals of the filters associated with bivariate box spline functions. We show how to construct bivariate non-separable compactly supported biorthogonal wavelets associated with box spline functions which have arbitrarily high regularities.

UR - https://www.umsl.edu/mathcs/about/People/Faculty/WenjieHe/He%20he%20Wen/construction%20of%20bivariate.pdf

M3 - Article

JO - Applied and Computational Harmonic Analysis

JF - Applied and Computational Harmonic Analysis

ER -

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

Abstract

Disciplines

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