Abstract
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.
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Song, R., Wang, X., Ou, M., Li, J. (2008). The Structure of V-System over Triangulated Domains. In: Chen, F., Jüttler, B. (eds) Advances in Geometric Modeling and Processing. GMP 2008. Lecture Notes in Computer Science, vol 4975. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79246-8_48
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DOI: https://doi.org/10.1007/978-3-540-79246-8_48
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-79245-1
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