A joint method based on the relative diameter is introduced for evaluating the minimum circumscribed circle and maximum inscribed circle in this article. The definition and calculation of the relative diameter is given in detail. The proposed method is an approximate method based on the least square circle solution, and just for the minimum circumscribed circle and maximum inscribed circle criteria. Several examples from the literatures have been carried out to validate the effectiveness of the proposed algorithm.
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Li et al. (2016) studied this question.