https://scholars.lib.ntu.edu.tw/handle/123456789/612023
Title: | Min-max problem for evaluating the form error of a circle | Authors: | Jywe W.-Y. Liu C.-H. Chen C.-K. Wen-Yuh Jywe |
Keywords: | Error analysis;Linear equations;Mathematical models;Problem solving;Minimum-maximum problems;Computational geometry | Issue Date: | 1999 | Journal Volume: | 26 | Journal Issue: | 4 | Start page/Pages: | 273-282 | Source: | Measurement: Journal of the International Measurement Confederation | Abstract: | 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 |
Appears in Collections: | 機械工程學系 |
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