Generalized zone separation functionals for convex perfect forms and incomplete data sets
Kaiser, Mark J.
Kaiser, Mark J.
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1998-03
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Mark J. Kaiser, Generalized zone separation functionals for convex perfect forms and incomplete data sets, International Journal of Machine Tools and Manufacture, Volume 38, Issue 4, 1998, Pages 375-404, ISSN 0890-6955, https://doi.org/10.1016/S0890-6955(97)00042-4.
Abstract
The minimum zone separation functional describes global shape characteristics of form tolerance for a metrological artefact and is computed from measurement data described by a simple planar polygon. The nominal (perfect form) geometry is realized by a convex polygon. An analytic expression to compute the minimum zone measure is derived in the case of a regular polygonal perfect form, and a geometric procedure is adopted in the solution for a convex perfect form. A minimum area difference measure is introduced, and the geometry of typical separation functionals is examined. Separation measures are also calculated for nominal convex polygonal components described by a discontinuous (incomplete) data set such as commonly occurs with keyways, flats, and partial arcs. Computational considerations, including algorithm performance, are also addressed. © 1998 Elsevier Science Ltd. All rights reserved.
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Elsevier Ltd
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International Journal of Machine Tools and Manufacture
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08906955