A new algorithm for designing developable Bézier surfaces

作     者：ZHANG Xing-wang WANG Guo-jin 

作者机构：Institute of Computer Images and Graphics Zhejiang University Hangzhou 310027. China State Key Laboratory of CAD ＆ CG. Zhejiang University Hangzhou 310027. China 

基　　金：Project supported by the National Basic Research Program (973) of China (No. 2004CB719400)  the National Natural Science Founda-tion of China (Nos. 60373033 and 60333010) and the National Natural Science Foundation for Innovative Research Groups (No. 60021201)  China 

出 版 物：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 (浙江大学学报（英文版）A辑（应用物理与工程）)

年 卷 期：2006年第7卷第12期

页      码：2050-2056页

摘      要：A new algorithm is presented that generates developable Bézier surfaces through a Bézier curve called a directrix. The algorithm is based on differential geometry theory on necessary and sufficient conditions for a surface which is developable, and on degree evaluation formula for parameter curves and linear independence for Bernstein basis. No nonlinear characteristic equations have to be solved. Moreover the vertex for a cone and the edge of regression for a tangent surface can be obtained easily. Aumann’s algorithm for developable surfaces is a special case of this paper.

主 题 词：Bézier表面 可发展表面 Bemstein基础 线性独立性 特征方程 

学科分类：1305[艺术学-设计学类] 13[艺术学] 08[工学] 080203[080203] 081304[081304] 0802[工学-机械学] 0813[工学-化工与制药类] 080201[080201] 

核心收录：

D　O　I：10.1631/jzus.2006.A2050

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