Point-by-point comparison method plane straight line interpolation calculation method

Abstract

The invention provides a point-by-point comparison method plane straight line interpolation calculation method, belonging to the field of numerical control. The method comprises the following steps: assuming that a prop at a certain moment is located at a moving point P (Xm,Yn); determining the symbol of a deviation discriminant, wherein the deviation expression is FM, and n=XeYn-XmYe for obtaining the cutter feeding direction; performing the deviation calculation, wherein the position reached by the cutter after being fed and the coordinates of the cutter are changed as follows: if the cutteris fed toward the +X direction one step, the new deviation expression is Fm+1.n=Fm.n-Ye; if the cutter is fed toward the +Y direction one step, the new deviation expression is Fm.n+1=Fm.n+Xe; if thecutter is fed toward the +X direction and the +Y direction one step respectively, the new deviation expression is Fm+1.n+1=Fm.n+Xe-Ye; every time the cutter moves forward one step, the destination determination is carried out, if the destination is not reached, step a is carried out, if the destination is reached, the interpolation calculation is completed. According to the point-by-point comparison method plane straight line interpolation calculation method, the feeding direction can be positive or negative at the same time, so that the contour error of the interpolated curve reaches the minimum value, and the deviation value of each step of feeding is the minimum.

Description

technical field [0001] The invention relates to a point-by-point comparison method plane linear interpolation calculation method, which belongs to the field of numerical control. Background technique [0002] In general, in the processing program of a part, it is not enough to provide some relevant parameters of the curve, such as the known starting point and end point coordinates of the straight line, the known circle center, starting point, end point coordinates, and forward and reverse circles of the arc. Requirements for component motion control. Calculate several intermediate points between known coordinate points to meet the real-time requirements of line shape and motion speed. At this time, the concept of interpolation is introduced: in the contour control system, the feed speed and contour shape are given by the known feed speed and contour shape. The method of inserting the required intermediate points between the specified parameter points is called the interpola...

AI Technical Summary

Problems solved by technology

[0002] In general, in the processing program of a part, it is not enough to provide some relevant parameters of the curve, such as the known starting point and end point coordinates of the straight line, and the known center, starting point, end point coordinates, and forward and reverse circles of the arc. Requirements for component motion control

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