Constructing an interpolatory subdivision scheme from Doo-Sabin subdivision

摘要：

This paper presents an interpolatory subdivision scheme derived from the Doo-Sabin subdivision scheme. We first present the relations among three curve subdivision schemes, namely a four point interpolatory subdivision scheme, a cubic B-spline curve subdivision scheme, and the Chaikin’s algorithm that generates uniform quadratic B-spline curves. By generalizing these relations to the surface case, we derive an interpolatory surface subdivision scheme from the Doo- Sabin subdivision scheme, a generalization of the Chaikin’s algorithm to surface subdivision. In the new subdivision scheme, we also introduce a variable tension parameter that is dependent to local control vertices. The variable tension parameter can be used to eectively control the resulting limit surface of the proposed subdivision scheme.

关键词： Interpolatory subdivision scheme Doo-Sabin subdivision Surface interpolation Variable tension parameter

作者: Chongyang Deng Weiyin Ma

作者单位: School of Science Hangzhou Dianzi University Hangzhou 310018,China Department of MEEM City University of Hong Kong Hong Kong,China

会议类型: 国际会议

会议名称: 2011国际计算机辅助设计与图形学学术会议(CAD/Graphics 2011)

会议地点: 济南

会议语种:英文

页码: 1-9

在线出版日期: 2011-09-15（万方平台首次上网日期，不代表论文的发表时间）