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Piecewise linear prewavelets over type-2 triangulations
Authors:Jiansheng Cao  Don Hong
Institution:1. Department of Mathematics , East Tennessee State University , Johnson City, Tennessee 37614, USA caojiansheng@yahoo.com;3. Department of Mathematical Sciences , Middle Tennessee State University , Murfreesboro, TN 37132, USA
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.
Keywords:Linear splines  Prewavelets  Smaller support  Triangulation
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