Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (17): 27-29.

• 博士论坛 • Previous Articles     Next Articles

Design of developable Bezier surface based on ruled surface

WANG Shu-xun1,2,YE Zheng-lin1,BAI Hong-wu1,WANG Lie1,3,SHI Mao1,3   

  1. 1.College of Science,Northwestern Polytechnical University,Xi’an 710072,China
    2.Department of Mathematics,Shaanxi University of Technology,Hanzhong,Shaanxi 723000,China
    3.College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China
  • Received:2008-02-01 Revised:2008-03-13 Online:2008-06-11 Published:2008-06-11
  • Contact: WANG Shu-xun

基于直纹面的可展Bézier曲面的设计

王树勋1,2,叶正麟1,白鸿武1,王 烈1,3,石 茂1,3   

  1. 1.西北工业大学 理学院,西安 710072
    2.陕西理工学院 数学系,陕西 汉中 723000
    3.陕西师范大学 数学与信息科学学院,西安 710062
  • 通讯作者: 王树勋

Abstract: 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.

摘要: 利用de Casteljau算法,得到两条边界曲线分别为mn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。