计算机工程与应用2011，Vol.47Issue(13)：201-203,211,4.DOI:10.3778/j.issn.1002-8331.2011.13.057
λ、μ-B样条上可展曲面的几何设计
Geometric design of λ、μ-B spline developable surface
摘要
Abstract
Two direct and simple design methods of developable surface are developed based on the duality of the mid-point of 3D projective space and the plane.The method makes the developable surface expressed by the control plane of blending function.A new piecewise polynomial spline curve with two local shape parameters λ and μ is defined by this blending function.Therefore the new developable surface has tunability of flexible local shape and more strong description ability,and increases degree of freedom of the modeling.A class of developable surface is obtained by regulating the parameters λ and μ and the class of developable surface keeps characteristics of B-spline surface,that is uniform B-spline surface is formed by special value of λ and μ.This provides a new method for the design of the surface.关键词
可展曲面/对偶性/局部形状参数/曲线设计/B样条Key words
developable surface/duality/local shape parameter/carve design/B-spline分类
信息技术与安全科学引用本文复制引用
李凯,秦新强,胡钢,岳丽..λ、μ-B样条上可展曲面的几何设计[J].计算机工程与应用,2011,47(13):201-203,211,4.基金项目
国家自然科学基金(the National Natural Science Foundation of China under Grant No.50879069) （the National Natural Science Foundation of China under Grant No.50879069）
陕西省教育厅基金资助项目(No.2010JK719). （No.2010JK719）
