@Article{JCM-18-2, author = {Zhi-Bin, Chen and Yu-Yu, Feng and Kozak, Jernej}, title = {The Blossom Approach to the Dimension of the Bivariate Spline Space}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {2}, pages = {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.  

}, issn = {1991-7139}, doi = {https://doi.org/2000-JCM-9034}, url = {https://global-sci.com/article/85541/the-blossom-approach-to-the-dimension-of-the-bivariate-spline-space} }