On the minimization of area among chord-convex sets
Acciaio B, Pratelli A (2015)
Publication Type: Book chapter / Article in edited volumes
Publication year: 2015
Edited Volumes: New Trends in Shape Optimization
Series: International Series of Numerical Mathematics
Book Volume: 166
Pages Range: 1-17
DOI: 10.1007/978-3-319-17563-8_1
Abstract
In this paper we study the problem of minimizing the area for the chord-convex sets of given size, that is, the sets for which each bisecting chord is a segment of length at least 2. This problem has been already studied and solved in the framework of convex sets, though nothing has been said in the non-convex case. We introduce here the relevant concepts and show some first properties.
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APA:
Acciaio, B., & Pratelli, A. (2015). On the minimization of area among chord-convex sets. In Günther Leugering, Aldo Pratelli (Eds.), New Trends in Shape Optimization. (pp. 1-17).
MLA:
Acciaio, Beatrice, and Aldo Pratelli. "On the minimization of area among chord-convex sets." New Trends in Shape Optimization. Ed. Günther Leugering, Aldo Pratelli, 2015. 1-17.
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