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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 1
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Original Articles

Piecewise linear prewavelets over type-2 triangulations

Jiansheng Cao Department of Mathematics, East Tennessee State University, Johnson City, Tennessee 37614, USACorrespondence[email protected]
&
Don Hong Department of Mathematical Sciences, Middle Tennessee State University, Murfreesboro, TN 37132, USA
Pages 83-98 | Received 01 Apr 2004, Accepted 22 Oct 2006, Published online: 10 Apr 2007
 
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Abstract

In this article, we study the construction of piecewise linear prewavelets over type-2 triangulations. Different from a so-called semi-prewavelet approach, we investigate the orthogonal conditions directly and obtain parameterized prewavelets with a smaller support. The conditions for parameterized prewavelet basis on the parameters are also given.

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