On the basis of the principle point-by point comparison method and least error method, the accumulative limit control in-terpolation and the math model of interpolation are studied and verified in this paper.

Interpolation arithmetic based on image in laser incised curve;

The software realizes the method for not circle contour curve interpolation arithmetic proceeded the detailed description.

The process is made up of designing the overall arrangement and framework,choosing the movement mode of numerical control system,designing the mechanical system and control system,selecting,analyzing and realizing the process of 3D-engrave interpolation arithmetic.

An improved interpolation algorithm for high speed thread cutting;

Research and implementation of NURBS interpolation algorithm for adaptive feed speed;

The circle arc interpolation algorithm of eight octants;

Study on transition between sections of B-Spline curves used in direct interpolation algorithm;

Take the single-chip computer as control and calculating unit,the stepping motor as executing unit,the design applies the interpolation algorithm to achieve the accurate control on the position and trace of the object.

Point-to-point method is one of algorithms that are widely used in a line inteoplation, and the deviation calculation involved in thes method holds an important position in the course of interpolation.