Rotation interpolation method for arbitrary curves
A curve interpolation and interpolation technology, applied in the field of numerical control, can solve the problem of less application of rotary interpolation
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[0037] Such as figure 1 As shown, an arbitrary curve rotation interpolation method of the present invention includes the following steps:
[0038] Step (1) The matrix form of the rotation transformation is:
[0039] (1)
[0040] Representation point Rotate a certain angle counterclockwise around the origin of the coordinates , Get a new point . among them For point coordinates Means, For point coordinates Means, Is the angle of counterclockwise rotation.
[0041] Step (2) Since the graph of the rotation curve in the coordinate system is not a monotonic function, the trajectory is generally not a monotonic function, and it has to involve the control of the interpolation direction. The entire rotation curve can be divided into N parts by re-dividing each part, so that the rotation curve in each part is a monotonic function.
[0042] Step (3) Determine the interpolation direction output of this part of the rotation curve according to the s...
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