Certified Efficient Global Roundness Evaluation

Frank Schöpfer () and Alexey Chernov ()
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Frank Schöpfer: Carl von Ossietzky Universität Oldenburg
Alexey Chernov: Carl von Ossietzky Universität Oldenburg

Journal of Optimization Theory and Applications, 2020, vol. 186, issue 1, No 9, 169-190

Abstract: Abstract We propose and analyze a global search algorithm for the computation of the minimum zone sphericity (circularity) error of a given set. The formulation is valid in any dimension and covers both finite sets of data points as well as infinite sets like polygonal chains or triangulations of surfaces. We derive theoretical estimates for the cost to reach a desired accuracy, and validate the performance of the algorithm with various numerical experiments.

Keywords: Circularity error; Global optimization; Minimum zone; Minimum width annulus; Roundness evaluation; Sphericity error; 90C26; 90C90 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10957-020-01689-8

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