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International Journal of Computer Mathematics Volume 86, 2009 - Issue 7
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Section B

A method for constructing trivariate nonseparable compactly supported orthogonal wavelets

Jin-Song Leng Faculty of Applied Mathematics, University of Electronic of Science and Technology of China, Chengdu, P. R. ChinaCorrespondence[email protected]
,
Ting-Zhu Huang Faculty of Applied Mathematics, University of Electronic of Science and Technology of China, Chengdu, P. R. China
,
Ying-Ding Fu Faculty of Applied Mathematics, University of Electronic of Science and Technology of China, Chengdu, P. R. China
&
Choi-Hong Lai School of Computing and Mathematical Sciences, University of Greenwich, London, UK
Pages 1264-1273 | Received 09 Oct 2007, Accepted 16 Nov 2007, Published online: 17 Jun 2009
 
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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.

2000 AMS Subject Classification :

Acknowledgements

The authors would like to thank the referees for their valuable comments and suggestions.

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