Dimensions of spline spaces over T-meshes

作者：Deng JS^*; Chen FL; Feng YY

来源：Journal of Computational and Applied Mathematics, 2006, 194(2): 267-283.

DOI：10.1016/j.cam.2005.07.009

• spline
• Bezier ordinate
• dimension
• T-mesh

A T-mesh is basically a rectangular grid that allows T-junctions. In this paper, we propose a method based on Bezier 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.

• 出版日期2006-10-1
• 单位中国科学技术大学