@Article{JCM-18-183, author = {Chen , Zhi-BinFeng , Yu-Yu 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/}, url = {http://global-sci.org/intro/article_detail/jcm/9034.html} }