Ellipsoid part is now increasingly applied to the product manufacturing, while the high-quality ellipsoid part depends not only on the manufacturing and machining techniques, but also on the adopted measurement and evaluation approaches. Based on the typical quadratic surface, an evaluation method of the least squares ellipsoid deviation is proposed in this paper to quantify the form deviation of measured ellipsoid. The method can overcome the weakness of the low measurement adaptability compared with other evaluation methods. With obtaining the coefficients of surface equation to replace the linear superposing of the coordinates of measured points, the measurement error existing in the coordinates of measured points is homogenized and reduced effectively, which prompts to obtain the accurate measurement result. Finally, the results from experimental verifications show that the proposed method is effective for the measurement and evaluation of the ellipsoid deviation in Cartesian coordinates, and the adaptability is also a significant advantage in the measurement and evaluation of geometry deviation.

椭圆形零件现在越来越多地应用于产品制造，而高质量的椭圆形零件不仅取决于制造和加工技术，还取决于所采用的测量和评估方法。基于典型的二次曲面，提出了最小二乘椭球偏差的评估方法，以量化所测椭球的形式偏差。与其他评估方法相比，该方法可以克服测量适应性差的缺点。通过求出表面方程的系数来代替被测点坐标的线性叠加，有效地减小了被测点坐标中存在的测量误差，有效地获得了准确的测量结果。最后，