TY - JOUR
T1 - New Proof of Dimension Formula of Spline Spaces over T-Meshes via Smoothing Cofactors
AU - Zhang-jin Huang, Jian-song Deng, Yu-yu Feng & Fa-lai Chen
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 - <p style="text-align: justify;">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.</p>