摘要
空间三维曲线有两种数学表达形式:隐式方程曲线及参数方程曲线。本文提出这两种方程的高效准确的插补算法,实现了数控机床的空间三维曲线轨迹插补。其中隐式方程曲面交线采用的是建立在进给选择基础上的插补算法,而且保证了该算法的位置误差不超过一个进给单位;参数方程曲线采用小直线段逼近的插补算法,这种线性化方法对插补参数曲线而言具有高效的优点。
There are two kinds of curve definitions： implicit curve and parametric curve. An efficient and accurate interpolation algorithms for two curves was proposed which can drive the cutter of a CNC machine along three-dimensional （3D） trajectories. The method uses the implicit definition to interpolate the intersection curve based on step selection rules which guarantees one step position error at most. For the parametric curve, the method uses straight-line segments to approximate the desired path. This linearization has obvious advantage of high efficient.
出处
《机床与液压》
北大核心
2007年第10期94-95,142,共3页
Machine Tool & Hydraulics
关键词
插补算法
交线
三维轨迹
参数化
Interpolation algorithms
Intersection curve
Three-dimensional trajectories
Parametric
