Developable Conditions for Ruled Surfaces and Design of Developable Surfaces

摘要：

With the operator representation of Bézier curves, we first derive the sufficient and necessary conditions of a ruled surface being a developable surface, where the ruled surface is generated from two Bézier curves of degree m and n respectively as its boundary curves. Then we present a new method for designing the developable surface of degree (2, 3) with four corner points and one free control vertex. The experiment results indicate that the proposed method is simple to perform and can be easily used to control the shape of surface.

关键词： Ruled Surface Developable Surface Surface Design Computer Aided Geometric Design

作者: Shuxun Wang Zhenglin Ye Zuoping Chen Xiaohong An

作者单位: College of Science, Northwestern Polytechnical University Xi’an Shaanxi 710072, China Department of College of Science, Northwestern Polytechnical University Xi’an Shaanxi 710072, China Industrial Centre, The Hong Kong Polytechnic University Hong Kong, China

会议类型: 国际会议

会议名称: 2009 IEEE 10th International Conference on Computer-Aided Industrial Design & Conceptual Design(2009 IEEE 第十届国际计算机辅助工业设计与概念设计学术会议 CAID&CD2009)

会议地点: 温州

会议语种:英文

页码: 572-575

在线出版日期: 2009-11-26（万方平台首次上网日期，不代表论文的发表时间）