A method for constructing trivariate nonseparable compactly supported orthogonal wavelets

Jinsong Leng, Ting‐Zhu Huang, Ying-Ding Fu, Choi-Hong Lai · International Journal of Computer Mathematics · 2008

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.

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