【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。更多还原

【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.更多还原