Orthogonal segment stabbing
نویسندگان
چکیده
منابع مشابه
Orthogonal segment stabbing
We study a class of geometric stabbing/covering problems for sets of line segments, rays, and lines in the plane. While we demonstrate that the problems on sets of horizontal/vertical line segments are NP-complete, we show that versions involving (parallel) rays or lines are polynomially solvable.
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David M. Mount Fan-Tao Pu Department of Computer Science University of Maryland College Park, MD 20742 fmount,[email protected] 1 Motivation Computer graphics is the source of many interesting and challenging applications for the design of geometric algorithms and data structures. Applications in global illumination simulation and radiosity [7] have motivated our study of problems involving line...
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Let P be an orthogonal polygon with n vertices. A partition of P into rectangles is called conforming if it results from cutting P along a set of interior-disjoint line segments, each having both endpoints on the boundary of P . The stabbing number of a partition of P into rectangles is the maximum number of rectangles stabbed by any orthogonal line segment inside P . In this paper, we consider...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2005
ISSN: 0925-7721
DOI: 10.1016/j.comgeo.2004.07.002