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Stabbers of line segments in the plane


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Author: Claverol, Mercé
Garijo Royo, Delia
Grima Ruiz, Clara Isabel
Márquez Pérez, Alberto
Seara Ojea, Carlos
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 2011
Published in: Computational Geometry, 44 (5), 303-318.
Document type: Article
Abstract: The problem of computing a representation of the stabbing lines of a set S of segments in the plane was solved by Edelsbrunner et al. We provide efficient algorithms for the following problems: computing the stabbing wedges for S, finding a stabbing wedge for a set of parallel segments with equal length, and computing other stabbers for S such as a double-wedge and a zigzag. The time and space complexities of the algorithms depend on the number of combinatorially different extreme lines, critical lines, and the number of different slopes that appear in S.
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