A Method of Reverse Control Point Estimation for Nurbs
A technology of control points and tool position points, which is applied in the field of numerical control technology spline tool position trajectory fitting, can solve the problems of low calculation efficiency and large number of calculations, and achieve the effect of reducing calculations
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[0038] Step 1: According to the known tool position points and the contour error fitted into the NURBS curve, the tool position points are simplified, and the tool position points representing the typical contour are selected;
[0039] Such as figure 2 As shown, input the tool position point P 0 ,...,P n , given the contour error d r as a control factor. Let P k point as the starting point, P j As an endpoint, where 0≤k≤j-2, k+2≤j≤n. Pick the middle point P i , ki to line P k P j The error d. Compare d with threshold d r size, if d is greater than d r , continue to search down, otherwise save P j point to P k =P j As a new starting point, P j =P j+2 As a new destination, continue the search.
[0040] Such as image 3 As shown, taking a mouse tool point as an example, different contour errors are used as thresholds to obtain different simplified tool points.
[0041] Step 2: Take the simplified relief point as the initial value, usually the simplified relief p...
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