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 SrnΔ 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 Email
Yu-Yu Feng Email
Jernej Kozak Email