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Minimum Zone Evaluation of the Form Errors of Quadric Surfaces

Zhang, Xiangchao, Jiang, Xiang and Scott, Paul J. (2011) Minimum Zone Evaluation of the Form Errors of Quadric Surfaces. Precision Engineering, 35 (2). pp. 383-389. ISSN 0141-6359

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Abstract

Quadric surfaces commonly exist in natural objects and artificial components. It is widely needed to evaluate the form quality of a measured data set, but the mostly used least squares method will lead to over-estimation and its results are not consistent with the definitions in ISO standards. In this paper a shape recognition approach is presented to determine the surface type and shape parameters from the general implicit quadratic function. Then a self-adaptive differential evolution algorithm is utilized to perform minimum zone evaluation for generic quadrics. The maximal orthogonal distance from the data points to the associated surface is taken as the target to be optimized. Finally experimental examples are presented to verify the developed algorithm.

Item Type: Article
Uncontrolled Keywords: Coordinate metrology; Quadric surfaces; Minimum zone; Form error; Self-adaptive differential evolution
Subjects: T Technology > TJ Mechanical engineering and machinery
T Technology > TS Manufactures
Schools: School of Computing and Engineering
School of Computing and Engineering > Centre for Precision Technologies
School of Computing and Engineering > Centre for Precision Technologies > Surface Metrology Group
School of Computing and Engineering > Systems Engineering Research Group
Related URLs:
Depositing User: Xianchao Zhang
Date Deposited: 27 Jan 2011 09:24
Last Modified: 16 Jun 2011 07:58
URI: http://eprints.hud.ac.uk/id/eprint/9183

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