https://scholars.lib.ntu.edu.tw/handle/123456789/612023
標題: | Min-max problem for evaluating the form error of a circle | 作者: | Jywe W.-Y. Liu C.-H. Chen C.-K. Wen-Yuh Jywe |
關鍵字: | Error analysis;Linear equations;Mathematical models;Problem solving;Minimum-maximum problems;Computational geometry | 公開日期: | 1999 | 卷: | 26 | 期: | 4 | 起(迄)頁: | 273-282 | 來源出版物: | Measurement: Journal of the International Measurement Confederation | 摘要: | There have been many studies to evaluate the form error of a circle. Most of them, such as the optimum methods and limacon model, employed the approximate solution to obtain the desired results. In this paper, three mathematical models depending on the method used to select the exact control points are constructed to evaluate the analytic solution of the minimum circumscribed circle, the maximum inscribed circle and the minimum zone circle by directly resolving the simultaneous linear algebraic equations. These new and simple mathematical methods are verified to be useful for determining the exact solution. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0033319154&doi=10.1016%2fS0263-2241%2899%2900052-4&partnerID=40&md5=98bbeadf6bc88a06dbdbab45b3e2ead0 https://scholars.lib.ntu.edu.tw/handle/123456789/612023 |
DOI: | 10.1016/S0263-2241(99)00052-4 |
顯示於: | 機械工程學系 |
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