MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
James Boland, Jeff R. Knisley, Robert B. Gardner
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.
Thesis - Open Access
Cao, Jiansheng, "Construction of Piecewise Linear Wavelets." (2002). Electronic Theses and Dissertations. Paper 693. https://dc.etsu.edu/etd/693
Copyright by the authors.