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Comment on "A unified approach for circularity and spatial straightness evaluation using semi-definite programming" by Ye Ding, LiMin Zhu, Han Ding: [International Journal of Machine Tools & Manufacture 47(10) (2007) 1646-1650]
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2008 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 48, no 12-13, 1523-1524 p.Article in journal (Refereed) Published
Abstract [en]

In Ding et al. [A unified approach for circularity and spatial straightness evaluation using semi-definite programming, International Journal of Machine Tools & Manufacture 47(10) (2007) 1646–1650], the authors advocate semidefinite programming-based relaxations of quadratic optimization problems as a vehicle to solve two circularity and straightness evaluation problems. The purpose of this comment is to point out that the use of semidefinite relaxations for the problems at hand are redundant, since the problems are convex, or changed inter-alia to convex problems. We also take the opportunity to clarify some properties of the semidefinite relaxation, were it to be used for an actual nonconvex problem in this area.

Place, publisher, year, edition, pages
Elsevier, 2008. Vol. 48, no 12-13, 1523-1524 p.
Keyword [en]
Circularity evaluation, Spatial straightness evaluation, Minimum zone criterion (MZC), Computational metrology, Semi-definite programming
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-44585DOI: 10.1016/j.ijmachtools.2008.06.001Local ID: 77136OAI: oai:DiVA.org:liu-44585DiVA: diva2:265447
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2017-12-13

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Löfberg, Johan

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