Procedures for calculating the nonconvexity measures of a plane set |
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| Authors: | P D Lebedev A A Uspenskii |
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| Institution: | (1) Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620219, Russia |
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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. |
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| Keywords: | measure of nonconvexity angular characteristic convex hull wavefront |
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