关于通过两个三重点曲率严格单调曲线的计算

ON THE CALCULATION OF THE CURVE WITH MONOTONE CURVATURE AND PASSING TWO TRIPLE PONITS

讨论了通过两个三重点的曲率严格单调的 C^2—类曲线的计算问题;证明了用圆的渐开线拼接的可行性;给出了用四段圆的渐开线拼接曲率严格单调的 C^2—类曲线并通过给定三重点的算法。同时,还给出了一种计算通过两个三重点曲率近似单调的曲线方法。

In this paper,we discuss the problem of calculation of curves withmonotone curture and passing two triple points and prove that it is feasibleto build up a monotone curvature curve by several pieces of involute ofcircle and give a algorithm at the same time.We secondly obtain a methodto calculate a curve passing two given triple points with nearly monotonecurvature.