Cutter track compression method based on G2 continuous Bezier curve

Abstract

The invention provides a gutter track compression method based on a G2 continuous Bezier curve. The method comprises the following steps of a continuous small-line-segment screening step: regions to be compressed are determined through the continuous small-line-segment screening step; a fitting step: shape value points in each region are fit into a three-order Bezier curve through the fitting step; an error estimation step: the error estimation step is adopted for controlling the precision during the fitting step execution; a transition fairing step: a G2 continuous firing processing path is generated through the transition fairing step. The gutter track compression method has the advantages that the linear cutter path in the numerical control processing code can be compressed into the G2 continuous Bezier curve, each section of Bezier curve only comprises one curvature extreme value point, the data compression rate is high, the whole algorithm does not have the iteration, the real-time performance is good, the estimated error is very similar to the real error, the fitting precision can be effectively controlled, and the method can be applied to the high-speed and high-precision numerical control processing.

Description

technical field [0001] The invention relates to the technical field of mechanical numerical control machining, in particular to a method for compressing a linear tool path in a numerical control machining code into a G2 continuous Bézier curve, in particular to a tool track compression method based on a G2 continuous Bézier curve. Background technique [0002] In the CNC machining of complex curved surfaces, the surface to be processed is converted into continuous straight line segments based on a certain approximation error through the CAD / CAM system, and then the corresponding G01 command is transmitted to the CNC system. There are many defects in this way of describing the curve trajectory based on many continuous small line segments: (1) The approximation error has a great influence on the number of line segments. If the precision requirement is high, the CAD / CAM system must use a large number of small straight line segments to approach the processing path, and the gener...

AI Technical Summary

Problems solved by technology

There are many defects in this way of describing the curve trajectory based on many continuous small line segments: (1) the approximation error has a great influence on the number of line segments

However, NURBS has some shortcomings: (1) The recursive algorithm has a large amount of calculation, which is difficult to meet the real-time requirements of the system

(2) The truncation Ta used when calculating the arc length of the curve y The lor series will produce a large error in the case of high speed and high curvature

But this method has a low compression ratio, and the slope and curvature between adjacent curves are discontinuous

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