利用对偶性设计非均匀样条上的可展曲面  

Design of Nonuniformly Developable Surfaces Using Duality

作　　者：周敏[1] 叶正麟[1] 彭国华[1] 杨俊清[2] 

机构地区：[1]西北工业大学应用数学系,西安710072 [2]西安航空技术高等专科学校计算机工程系,西安710077

出　　处：《工程数学学报》2005年第2期353-356,共4页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10071060)

摘　　要：提出了任意次非均匀样条上可展面的设计方法,讨论了所设计可展面的特点,并以中心点表示控制平面的方式对曲面的设计进行了较详细的实例分析,实例表明设计结果良好。We extend the important idea of duality between point and plane geometries used in the computer-aided design of uniformly developable surface proposed by Bodduluri and Ravani to make it applicable to the case of nonuniformly developable surface. This paper gives detail analysis of examples about using the same control planes to design developable surfsaces. The paper also presents that representating control planes according to its centre point and the distance to the centre point from the origin may display range of control planes by it centre point. This allows a designer to the control planes directly in designing a surface and displaying the trajectory of the generating plane.

关 键 词：可展面 非均匀B-样条 对偶性 控制半面 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]