A note to “Dimensions of spline spaces over unconstricted triangulations J.Comput. Appl. Math. 192: 320-327, 2006

摘要：

Let Ω be a regular triangulation of a two dimensional domain and Srn(Ω) be a vector space of functions in Cr whose restriction to each small triangle in Ω is a polynomial of total degree at most n. Dimensions of bivariate spline spaces Srn(Ω) over a special kind of triangulation, called the unconstricted triangulation, were given by Farin in the paper J. Comput. Appl. Math. 192(2006), 320-327. In this paper, a counter example is given to show that the condition used in the main theorem in Farin’s paper is not correct, and then an improved necessary and sufficient condition is presented.

作者: Na Yi Huan-Wen Liu

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

会议类型: 国际会议

会议名称: 11th IEEE International Conference on Computer-Aided Design and Computer Graphics(第11届IEEE国际计算机辅助设计与图形学学术会议 IEEE CAD/GRAPHICS 2009)

会议地点: 黄山

会议语种:英文

页码: 259-262

在线出版日期: 2009-08-19（万方平台首次上网日期，不代表论文的发表时间）