In this paper, the author studies the relation of vertices, edges, and cells of the quasi-cross-cut partition. Moreover, the three-term recurrence relations of \(\dim(S_d^0(\Delta))\) over the quasi-cross-cut partition and the triangulation are presented.
Citation
Chun-Gang Zhu. Some Properties of the Quasi-Cross-Cut Partition and the Dimension of Bivariate Continuous Spline Space[J], Ars Combinatoria, Volume 105. 355-360. .