Dimensions of Bivariate Quintic Spline Spaces over Generalized Type-II Triangulations

摘要：

In this paper, a class of four-corner quadrangulations ◇mn is introduced, which is homeomorphic to a rectangular partition of a rectangle. Then, by adding two diagonals of each quadrilateral in ◇mn, a generalized type-II trian-gulation ◇mn is obtained. By using the method of Bezier-net, a minimal determining set for spline space S52(◇mn) over ◇mn is constructed and dimensions of bivariate spline spaces S52(◇mn) are given.

作者: Xuqiong Luo HuanWen Liu

作者单位: Faculty of Mathematics and Computer Science Guangxi University for Nationalities Nanning 530006, P.R.China

会议类型: 国际会议

会议名称: The Second International Joint Conference on Computational Science and Optimization(CSO 2009)(2009 国际计算科学与优化会议)

会议地点: 三亚

会议语种:英文

页码: 119-122

在线出版日期: 2009-04-24（万方平台首次上网日期，不代表论文的发表时间）