参数曲线的恒速通用插补原理与实例分析

阐述了参数曲线恒速插补的通用原理，同时讨论了廓误差近似计算方法。以摆线为例推导了相庆的插补公式和轮廓误差近似计算公式。最后通过VISUAL LISP编程进行插补模拟，表明该插补原理具有无累计误差、恒速进给以及轮廓误差易于控制的特点，而且该算法插补功能的开发和应用前景十分广阔。

General Interpolation Principal for Parametric Curves with Constant Feedrate and Examples Analysis

The paper develops general interpolation principals for parametric curves with constant feedrate, and contour error's approximate evaluations are discussed also. As examples, the interpolation algorithms and the contour error approximate formulations for the cycloid curves are deduced from the above principals. By simulation of the proposed cycloid interpolation algorithms which programmed in graphics developing language AutoLISP, it shows some very important features such as non accumulative error, constant feedrate and contour error being controlled easily. Moreover, there is a vast prospect for the development and application of the proposed interpolation algorithms.