k次非均匀样条上可展面的设计

将Bodduluri和Ravani对三次均匀样条上可展面的研究推广到了非均匀的情形 ,提出了任意次非均匀样条上可展面的设计方法 ,并以不同的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 .本文的设计方法直接、简单、有效 ,实例表明设计结果良好 .

Design of no uniformly degree k developable surfaces

Using the concept of duality between points and planes in 3D projective space, t he paper presents a direct explicit representation for developable surfaces util izing control planes. In this manner, a developable surface is designed using co ntrol planes with appropriate no uniformly any degree B-spline basis functions. Techniques for the geometric design of developable surfaces in this paper have a ll the characteristics of existing methods for curves design. By two design methods that a developable surface is the envelope and a developab le surfaces is tangent lines surface, this paper gives detail analysis of examp les about using the same control planes to design developable surfaces.