Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643013 | Journal of Computational and Applied Mathematics | 2006 | 17 Pages |
Abstract
A T-mesh is basically a rectangular grid that allows T-junctions. In this paper, we propose a method based on Bézier nets to calculate the dimension of a spline function space over a T-mesh. When the order of the smoothness is less than half of the degree of the spline functions, a dimension formula is derived which involves only the topological quantities of the T-mesh. The construction of basis functions is briefly discussed. Furthermore, the dimension formulae for T-meshes after mesh operations, such as edge insertion and mesh merging, are also obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jiansong Deng, Falai Chen, Yuyu Feng,