Certified Efficient Global Roundness Evaluation-Reference-Cited by-同舟云学术

Certified Efficient Global Roundness Evaluation

Published:2020-06-12 Issue:1 Volume:186 Page:169-190
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Schöpfer Frank,Chernov Alexey

Abstract

AbstractWe 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

https://link.springer.com/content/pdf/10.1007/s10957-020-01689-8.pdf

Reference19 articles.

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4. Huang, J.: An exact solution for the roundness evaluation problems. Precis. Eng. 23(1), 2–8 (1999)

5. Huang, J.: An exact minimum zone solution for sphericity evaluation. Comput. Aided Des. 31(13), 845–853 (1999)

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