Three-point circle method parameter self-adaptive interpolation algorithm applied to numerical control machine tool
An interpolation algorithm and circular interpolation technology, applied in the field of CNC machine tools, can solve the problems of reducing the amount of calculation, complex solution process, and large amount of calculation, so as to improve the quality and efficiency of interpolation, simplify the calculation of interpolation, and solve the process simple effect
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[0028] When pressing and other parameters The method takes three points D, E, F on the curve, , then the coordinates of the three points are known, respectively D ( , ), E ( , ), F ( , ), then the coordinates of the center point C of the circle passing through the three points ( , ) can be obtained, and the radius R of the circle can also be obtained. Take the middle point H of the parameters of the two points D and E, and take the middle point I of the parameters of E and F, then the parameter of the H point pair is , the parameter of point I is , the coordinates of its H and I points are H ( , ), I ( , ), are known, then the distance from point H to the center C of the circle can be calculated , the distance from point I to the center C ;calculate The difference from the arc radius R , The difference from the arc radius R , and take it as the imputation error.
[0029] Compare , and the size of the allowable error value, when with
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