Elliptical arc smooth compression interpolation algorithm suitable for high-speed and high-precision processing

Abstract

The invention relates to an elliptical arc smooth compression interpolation algorithm suitable for high-speed and high-precision processing. The elliptical arc smooth compression interpolation algorithm includes the following steps: identifying continuous minimal line segment processing areas; selecting, among the continuous minimal line segment processing areas, data points and carrying out fitting on the data points to obtain a quadratic rational Bezier curve; identifying elliptical arcs on the basis of features of the curve, and conducting geometrical transformation on the elliptical arcs;combining the adjacent elliptical arcs belonging to the same ellipse and obtaining an interpolation curve; and carrying out elliptical arc interpolation on the interpolation curve. On the basis of thefeatures of the spline curve, the elliptical arcs in a processing path are identified, and interpolation is carried out by using geometrical forms of the elliptical arcs. In this way, interpolation parameters corresponding to the arc length can be calculated accurately, computational complexity and frequent fluctuations of speed during processing can be reduced, and high-speed and high-precisionprocessing can be realized.

Description

technical field [0001] The invention relates to the fitting of parametric spline curves in high-quality machining and the identification and combination of elliptical arc segments, and belongs to the technical field of numerical control machining. Background technique [0002] The ellipse is a kind of conic section, which is more common in the workpiece processing program. Since the calculation of the arc length of an ellipse involves the elliptic integral problem, and its original function cannot be expressed in a finite form, it is impossible to directly interpolate the ellipse accurately. And because of its strong engineering practicability, scholars at home and abroad have conducted extensive research on it. [0003] Such as the mapping method, the ellipse is mapped to a certain plane, making it projected into a circle, interpolating the circle, and then using coordinate transformation to obtain the interpolation point on the ellipse. In the centrifugal angle increment...

AI Technical Summary

Problems solved by technology

[0006] In order to overcome the shortcomings of the direct interpolation algorithm and the existing small line segment interpolation algorithm that cannot be processed in high precision and have speed fluctuations, the purpose of the present invention is to provide a parametric spline fitting method, which can identify the processing path through the characteristics of the parametric spline curve The elliptical arc segment in the elliptical arc segment is interpolated to ensure the accuracy of machining and reduce the fluctuation of processing speed

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