The minimum zone evaluation for elliptical profile error based on the geometry optimal approximation algorithm
The minimum zone evaluation for elliptical profile error based on the geometry optimal approximation algorithm
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基于几何最优逼近算法的椭圆轮廓误差最小区域评估
DOI：
10.1016/j.measurement.2015.03.001
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发表时间：
2015-11
期刊：
影响因子：
5.6
通讯作者：
Wang Shifeng
中科院分区：
文献类型：
--
作者：
Lei Xianqing;Gao Zuobin;Cui Jingwei;Wang Haiyang;Wang Shifeng
To realize a more accurate evaluation for elliptical profile error, based on the minimum zone geometry optimization approach method, an algorithm for evaluating elliptical profile error is presented. Firstly, based on the least squares method, a reference ellipse and a pair of initial reference points are determined, taking the pair of reference points as reference points, auxiliary focuses is established and auxiliary ellipses are constructed by using the auxiliary focuses. Secondly, the elliptical profile errors are calculated, when the reference ellipse and the auxiliary ellipses as supposed ideal ellipses. Through comparing, judging and changing the reference points, constructing new auxiliary points and auxiliary ellipses, forming new assumed ideal ellipses, the minimum zone evaluation for elliptical profile error is realized finally by using the iterative approximation method. The process and the steps of solving elliptical profile error are described in detail, the mathematical formulas are given. Which shows this algorithm can not only get the results accurately but also stably.
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DOI：
--
发表时间：
2002
期刊：
--
影响因子：
--
作者：
Liu Shu
通讯作者：
Liu Shu
DOI：
10.1016/0167-8655(95)00114-x
发表时间：
1996-03
期刊：
Pattern Recognit. Lett.
影响因子：
--
作者：
Yuntao Cui;J. Weng;Herbert Reynolds
通讯作者：
Yuntao Cui;J. Weng;Herbert Reynolds
DOI：
10.1016/0020-7357(85)90031-9
发表时间：
1985
期刊：
International Journal of Machine Tool Design and Research
影响因子：
--
作者：
T. Murthy
通讯作者：
T. Murthy
DOI：
10.1109/34.765658
发表时间：
1999-05-01
影响因子：
23.6
作者：
Fitzgibbon, A;Pilu, M;Fisher, RB
通讯作者：
Fisher, RB
影响因子：
8
作者：
Ahn, SJ;Rauh, W;Warnecke, HJ
通讯作者：
Warnecke, HJ