Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

8-2002

Committee Chair or Co-Chairs

Don Hong

Committee Members

James Boland, Jeff R. Knisley, Robert B. Gardner

Abstract

It is well known that in many areas of computational mathematics, wavelet based algorithms are becoming popular for modeling and analyzing data and for providing efficient means for hierarchical data decomposition of function spaces into mutually orthogonal wavelet spaces. Wavelet construction in more than one-dimensional setting is a very challenging and important research topic. In this thesis, we first introduce the method of construction wavelets by using semi-wavelets. Second, we construct piecewise linear wavelets with smaller support over type-2 triangulations. Then, parameterized wavelets are constructed using the orthogonality conditions.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

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