Reacher on Ellipticity Error by Use of Minimum Circumscribed Ellipse and Maximum Inscribed Ellipse Algorithm

Abstract:

A data processing method based on a mesh search algorithm for elliptical profile error evaluation is proposed. First ellipse focuses of the least-square are set as reference points, according to a certain rules, a series of grid points are arranged and supposed as hypothetical ideal ellipse focuses respectively , then the distances of supposed ideal ellipse to the measuring points are calculated repeatedly. The minimum circumscribed ellipse and the maximum inscribed ellipse are constructed by comparison and judgment, and the corresponding value of ellipse profile error is obtained. Furthermore, the principle of the grid search algorithm and the process of ellipse profile error evaluation by using the minimum circumscribed ellipse method and the maximum inscribed ellipse method are stated . The results of examples show that the ellipse profile error can be evaluated accurately and effectively by this algorithm.

• Periodical: Applied Mechanics and Materials (Volumes 333-335)
• Pages: 1461-1464
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.333-335.1461
• Online since: July 2013
• Authors: Jing Wei Cui, Xian Qing Lei, Xian Ping Tu, Hai Yang Wang
• Keywords: Ellipticity Error, Error Evaluation, Maximum Inscribed Ellipse, Mesh Search Algorithm, Minimum Circumscribed Ellipse

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