2008 | OriginalPaper | Chapter
The Structure of V-System over Triangulated Domains
Authors : Ruixia Song, Xiaochun Wang, Meifang Ou, Jian Li
Published in: Advances in Geometric Modeling and Processing
Publisher: Springer Berlin Heidelberg
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The V-system on
L
2
[0,1]constructed in 2005 is a complete orthogonal system. It has multiresolution property. This paper further studies the V-system of two variables. The orthogonal V-system of degree
k
defined over triangulated domains is presented. With the orthogonal V-system over triangulated domains, all the application of the V-system on
L
2
[0,1] can be generalized onto the surface. Especially, the triangulated surface represented by piecewise polynomial of two variables of degree
k
with multi-levels discontinuities can be precisely reconstructed by finite terms of the V-series.