插补

Through the error analysis of eonventional interpolating method by point-to point comparison as generally used in numerical control of machine tools, the paper introducs a half-step deviation interpolating method in which both the speed and deviation conditions are considered.

本文通过对机床数控中逐点比较法等常用插补方法的误差分析，提出了一种既考虑速度条件，同时又考虑偏差条件的插补方法──半步偏差法。

Interpolate of spatial figure is that completes interpolate algorithm of spatial arch and straight line.

空间形面插补是完成微空间曲线和直线的插补运算。

At the same time, the method which feed can be adjusted with curvature of curve to implement the control of interpolation error in high speed and high precision is found.

同时为了保证自由曲线插补精度要求，提出了进给速度能随曲线曲率自适应调整，实现高速高精度插补误差控制的方法。

Based on the minimum path error interpolation method, a new circular interpolation algorithm is proposed, which is of simplity, short run time and positive deviation.

基于最小偏差插补算法的基本思想，提出了一种新的圆弧插补递推算法，该方法算法简单、行速度快、具有正偏差特性。

By analyzing the differences of three rank parameter curve from zero rank to three ranks, the interpolation successive formula is deduced.

通过对三次参数曲线 0 3阶差分的分析，导出了其插补递推公式，其中只包含加法运算，可以得到很高的插补速度。

In order to improve our CNC system to a higher level, an interpolation problem of circular in an arbitrary plane was also studied in the paper, where three kinds of interpolation algorithm were given, their feasibility were analysed and compared, and the best algorithm was obtained; In the end of this paper, a new concept of zero—following error position control was advanced, whose control principle and algorithm wre derived.

为使数控系统向更高档次发展，本文还研究了空间圆弧插补问题，给出了三种插补算法，通过分析比较，得到了最佳算法，并用汇编语言进行了可行性验证；在本文的最后，提出了零跟随误差位置控制的概念，并推导出了控制原理和算法。

In the interpolating process, S-shape acceleration and deceleration control algorithm and small line segment interpolation are used.

插补过程应用了S曲线加减速控制和小线段插补结合的算法。

CNC machine only to the general linear and circular interpolation, and other curves (such as becoming more open lines) with mathematical method linear and circular approximation, linear and circular interpolation can be special machine outside the curve.

一般数控机床仅对圆弧和直线插补，其它曲线用数学方法，采用直线和圆弧逼近，特殊机床可插补直线和圆弧外的曲线。

The simulation results for linear G01, circular G02 and G03, and NURBS surface interpolation can be displayed by the CNC system.The interpolation parameters can be on-line input and modified on the CNC system.

在介面中输入各插补所需之参数，如起点座标、终点座标、圆心座标等，即可依所推导之演算法则插补出所需之进给命令。

The error compensation is introduced in the interpolation algorithm to increase the interpolation point's solution precision in the cutting direction of the parametric curved surface. The reasonable simplification of the computed result of the interpolation point's parameter value is carried in the operation process by focusing on the character that curvature of slow-varying parametric curved surface changed slowly and the feature that the scanned profile of translational scanned curved surface is parallel along the scanned line.

通过引入误差补偿值以提高参数曲面在走刀方向上插补点的计算精度，针对缓变参数曲面曲率缓变和平移扫描曲面扫描轮廓沿扫描线平行的特点在运算过程中对插补点参数值的计算结果进行合理简化。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。