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. © 2008 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Song, R., Wang, X., Ou, M., & Li, J. (2008). The structure of V-system over triangulated domains. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4975 LNCS, pp. 563–569). Springer Verlag. https://doi.org/10.1007/978-3-540-79246-8_48
Mendeley helps you to discover research relevant for your work.