基于直纹面的可展Bézier曲面的设计  

Design of developable Bezier surface based on ruled surface

作　　者：王树勋[1] 叶正麟[1] 白鸿武[1] 王烈[1] 石茂[1] 

机构地区：[1]西北工业大学理学院

出　　处：《计算机工程与应用》2008年第17期27-29,32,共4页Computer Engineering and Applications

基　　金：国家自然科学基金(the National Natural Science Foundation of Chinaunder Grant No.60672135);陕西省自然科学基金(the Natural Science Foundation of ShaanxiProvince of Chinaunder Grant No.07JK209)。

摘　　要：利用deCasteljau算法,得到两条边界曲线分别为m,n次的空间曲线所生成的直纹面为可展曲面的充分必要条件,给出了可展曲面所满足的约束条件的个数,提出了(2,3)次可展曲面的一个新的设计方法。数值实验说明,该方法设计简便,易于控制曲面形状。Using de Casteljau algorithm,The allthors derive the sufficient and necessary conditions of a developable surface being a ruled surface generated by curves of n degree and m degree respectively as its two boundaries, point out the number of constraint conditions of a ruled surface,and present a new method of designing ruled surface of （2,3） degree.Experimental results show that the design method proposed is easy to design and easy to control the surface shape.

关 键 词：直纹面 可展曲面 曲面设计 计算机辅助几何设计 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]