Approximation by circles

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Sep 1989 English Publisher:Springer Science and Business Media LLCJournal:ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research, volume 33, pages 315-339 (issn: 0340-9422, eissn: 1432-5217,

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Authors: W. Bihlmayer; Wilhelm Forst;

doi: 10.1007/bf01416079

Approximation by circles

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Abstract

Summary: We derive algorithms which permit the inspection of plane hole patterns for their position tolerance. The entire hole pattern is measured by a coordinate measuring machine and then is fitted into the nominal pattern in such a way as to minimize the maximum of the distances between the nominal and the actual positions.

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Keywords

plane hole patterns, approximation by circles, active set method, Applications of mathematical programming, Numerical mathematical programming methods, Nonlinear programming, production metrology, Existence of solutions for minimax problems, position tolerance, Production models, minimax problems

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