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采用双三次参数 B 样条和最小二乘法拟合三坐标测量机测头中心轨迹曲面,通过测头半径的三维补偿,生成和重建被测自由曲面。本文方法无需要求采样点有序化和被测面边界的切矢和扭矢为已知,其曲面生成精度高,适用于三坐标测量机上自由曲面的快速、精密测量和重建。
Bicubic parameters B-spline and least square method were used to fit the center track surface of the CMM probe. The three-dimensional compensation of the probe radius was used to generate and reconstruct the measured free-form surface. The proposed method does not require the ordering of sampling points and the tangent vectors and twist vectors of the measured surface boundaries. The high precision of the surface generation method is suitable for rapid and precise measurement and reconstruction of free-form surfaces on CMMs.