空间曲线偏移算法研究

Research on Space Curve Offset Algorithm

解决在使用三维绘图软件过程中,对空间曲线执行偏移曲线命令时,经常会出现曲线偏移不理想甚至不能偏移的状况。为了这一问题,对这些状况进行了总结分析,归纳出了影响空间曲线偏移的三个关键要素,并根据这三个要素相应地确定了执行偏移曲线命令时的注意事项。根据偏移特点得到了一套可行的空间曲线偏移算法与其相应的数学表达。对比了两款常用软件在执行曲线偏移命令时的差异,针对较为不理想的偏移结果按照文中给出的算法进行了优化处理,得到了一个较为理想的偏移结果。

This paper analyzes and summarizes these situations,concluded three key factors affecting the space curve offset,and determines the key needing attention in executing the curve offset command according to these three factors.According to the offset characteristics,a set of feasible space curve offset algorithm with its corresponding mathematical expressions are obtained.This paper compares the difference between two common types of software in the execution of curve offset command.and optimizes the unsatisfactory migration result according to the algorithm given in this paper.