TY - JOUR T1 - New Proof of Dimension Formula of Spline Spaces over T-Meshes via Smoothing Cofactors JO - Journal of Computational Mathematics VL - 4 SP - 501 EP - 514 PY - 2006 DA - 2006/08 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8770.html KW - Spline space, T-mesh, Smoothing cofactors. AB -

A T-mesh is basically a rectangular grid that allows T-junctions. Recently, Deng $etal$ introduced splines over T-meshes, which are generalizations of T-splines invented by Sederberg $etal$, and proposed a dimension formula based on the B-net method. In this paper, we derive an equivalent dimension formula in a different form with the smoothing cofactor method.