TY - JOUR
T1 - The Blossom Approach to the Dimension of the Bivariate Spline Space
AU - Chen , Zhi-Bin
AU - Feng , Yu-Yu
AU - Kozak , Jernej
JO - Journal of Computational Mathematics
VL - 2
SP - 183
EP - 198
PY - 2000
DA - 2000/04
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9034.html
KW - Bivariate spline space
KW - Blossom
KW - Dimension
AB - <p style="text-align: justify;">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. &nbsp;</p>