Considering the characteristics of roundness error, a new method for roundness error evaluation in the rectangular coordinates, named as Geometric Approximation Searching Algorithm, is presented in this paper. The principle and steps of the algorithm are described in detail. The mathematical formulas and program flowchart are given. At first the algorithm allocates a square and predetermines the ideal centre point as the initial reference point. The radius value of all the measured points are calculated by each corresponding vertexes of the square respectively. After each vertex of the square and the initial reference point are used as the ideal centre point to calculate the roundness error, the minimum difference of the radius is obtained. The judgment and arranged square can be done repeatedly. Finally, the roundness error value of the minimum zone circle is determined. The experimental results show that the roundness error can be evaluated effectively and accurately by using this algorithm.
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