C1 Bicubic Splines over General T-meshes

摘要：

The present authors have introduced polynomial splines over T-meshes (PHT-splines) and provided the theories and applications for PHT-splines over hierarchical T-meshes. This paper generalizes PHT-splines to arbitrary topology over general T-meshes with any structures. The general PHT-spline surfaces can be constructed through an unified scheme to interpolate the local geometric information at the basis vertices of the T-mesh. We also discuss the edge insertion and removal algorithms for PHT-splines over general Tmeshes. As applications, we present algorithms to construct a spline surface over a T-mesh from a quadrilateral mesh.

关键词： Splines PHT-splines T-meshes Basis Function

作者: Xin Li Jiansong Deng Falai Chen

作者单位: Department of Mathematics, University of Science and Technology of China,Hefei, Anhui, China, 230026

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: 92-95

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）