The Blossom Approach to the Dimension of the Bivariate Spline Space

The Blossom Approach to the Dimension of the Bivariate Spline Space

Year:    2000

Author:    Zhi-Bin Chen, Yu-Yu Feng, Jernej Kozak

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 2 : pp. 183–198

Abstract

The dimension of the bivariate spline space $S^r_nΔ$ may depend on geometric properties of triangulation Δ, in particular if $n$ is not much bigger than $r$. In the paper, the blossom approach to the dimension count is outlined. It leads to the symbolic algorithm that gives the answer whether a triangulation is singular or not. The approach is demonstrated on the case of Morgan-Scott partition and twice differentiable splines.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JCM-9034

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 2 : pp. 183–198

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Bivariate spline space

Author Details

Zhi-Bin Chen

Yu-Yu Feng

Jernej Kozak