This paper discusses and proposes a new algorithm of roundness error evaluation based on minimum circumscribed circle. In the algorithm, two or three points of the target profile are used to decide a prime circle. The farthest point away from the circle is found out and the farthest point is joined to the points or one of the points is replaced with it to make a bigger new circle. This proce-dure is repeated until into the minimum circumscribed circle, the new circle contain all the profiles are changed and then the round-ness error is calculated according to the minimum circumscribed circle. It also proposes and verifies a judgement method of the mini-mum circumscribed circle and describes the algorithm and the convergency in detail. Then the algorithm is verified by experiments.%提出一種以最小外接圓法評定圓度誤差的新算法.該算法以輪廓點集中的二點或三點為圓上的點確定某初始圓,然后每次都以圓外最遠點加入先前的點或者替代其中一點以構造更大的新圓,重復該步驟直至新圓包容所有輪廓成為最小外接圓,最后根據最小外接圓計算圓度誤差.提出并論證了最小外接圓判定準則,描述了算法的詳細步驟并說明了它的收斂性,通過實驗驗證了算法的準確性和高效性.
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