Using sentinels to detect intersections of convex and nonconvex polygons

We describe finite sets of points, called sentinels, which allow us to decide if isometric copies of polygons, convex or not, intersect. As an example of the applicability of the concept of sentinel, we explain how they can be used to formulate an algorithm based on the optimization of differentiable models to pack polygons in convex sets. Mathematical subject classification: 90C53, 65K05.

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Bibliographic Details
Main Authors: Mascarenhas,W.F., Birgin,E.G.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Matemática Aplicada e Computacional 2010
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000200008
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