Abstract：For the minimum zone method based on the evaluation method, there are problems such as the placement of parts will affect the optimization results when the data extraction of parts is performed and the cumbersome local convergence of the multi-sampling point solution,a new method for evaluating the cylindricity error in the minimum zonen is studied. First, the minimum zone evaluation mathematical model is established. Then, the spatial coordinate transformation projection is carried out to transform the data points of any position of the cylinder into a fixed position, and the spatial multi-sampling point problem is converted into a plane for feature point extraction. Finally, the internal and external scanning area and the replacement of coordinate axes are set up and the results of optimization are reviewed to achieve effective prevention of local optimal solutions. The example test results show that for the dataset with the largest number of data samples, the computational efficiency is improved by 1.5 times, which can effectively handle the cylindricity error of multi-sampling points and sampling points at arbitrary position. Moreover, as the number of sample points in the dataset increases, the computational efficiency improves more significantly, and the solution has a high stability.
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2023, Vol. 44 
