The structure of V-system over triangulated domains

Authors:
Ruixia Song;Xiaochun Wang;Meifang Ou;Jian Li
Affiliations:
College of Sciences, North China University of Technology, Beijing, China;College of Sciences, Beijing Forestry University, Beijing, China;College of Sciences, North China University of Technology, Beijing, China;Faculty of Information Tech., Macau University of Science and Tech., Macau, China
Venue:
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Year:
2008

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Abstract

The V-system on L2[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 L2[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.