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1. A method for constructing trivariate nonseparable compactly supported orthogonal wavelets.

Author

Leng, Jin-Song, Huang, Ting-Zhu, Fu, Ying-Ding, and Lai, Choi-Hong

Subjects
*MATHEMATICAL statistics, *CORRECTION factors, *STATISTICAL correlation, *MATHEMATICAL variables, *ORTHOGONALIZATION, *LINEAR algebra, *NUMERICAL analysis, *WAVELETS (Mathematics), *HARMONIC analysis (Mathematics)
Abstract

We first introduce trivariate multiresolution analysis and trivariate orthogonal wavlets. We then give a method for constructing a class of trivariate nonseparable compactly supported orthogonal scaling functions and the related wavelets. Finally, we study the regularity of these wavelets. We can get arbitrarily smooth trivariate orthogonal wavelets. [ABSTRACT FROM AUTHOR]

Published
2009
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