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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 3, Pages 431–440 (Mi zvmmf20)  
This article is cited in 8 scientific papers (total in 8 papers)

Procedures for calculating the nonconvexity measures of a plane set

P. D. Lebedev, A. A. Uspenskii

Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620219, Russia
Full-text PDF (1213 kB) Citations (8)
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Abstract: The geometry of nonconvex sets is analyzed. The measure of nonconvexity of a closed set that has the sense of an angle is considered. Characteristic manifolds of nonconvex sets are constructed. Procedures for calculating the measure of nonconvexity are proposed for a class of plane sets.
Key words: measure of nonconvexity, angular characteristic, convex hull, wavefront.
Received: 21.11.2007
Revised: 27.10.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 3, Pages 418–427
DOI: https://doi.org/10.1134/S096554250903004X
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: P. D. Lebedev, A. A. Uspenskii, “Procedures for calculating the nonconvexity measures of a plane set”, Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009), 431–440; Comput. Math. Math. Phys., 49:3 (2009), 418–427
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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