NEW PROOF OF DIMENSION FORMULA OF SPLINE SPACES OVER T-MESHES VIA SMOOTHING COFACTORS  

作　　者：Zhang-jin Huang Jian-song Deng Yu-yu Feng Fa-lai Chen 

机构地区：[1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

出　　处：《Journal of Computational Mathematics》2006年第4期501-514,共14页计算数学（英文）

摘　　要：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.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.

关 键 词：Spline space T-mesh Smoothing cofactors. 

分 类 号：O241.5[理学—计算数学]