Submesh Splines over Hierarchical T-meshes

摘要：

In this paper we propose a new type of splines-biquadratic submesh splines over hierarchical T-meshes. The biquadratic submesh splines are in rational form consisting of some biquadratic B-splines defined over tensor-product submeshes of a hierarchical T-mesh, where every submesh is around a cell in the crossing-vertex relationship graph of the T-mesh. We provide an effective algorithm to locate the valid tensor-product submeshes. A local refinement algorithm is presented and the application of submesh splines in surface fitting is provided.

关键词： hierarchical T-mesh submesh splines local refinement surface fitting

作者: Liangbing Jin Jiansong Deng Falai Chen

作者单位: Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, 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: 204-209

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）