Triangulating and guarding realistic polygons

G. Aloupis; P. Bose; V. Dujmovic; C.M. Gray; S. Langerman; B. Speckmann

doi:10.1016/j.comgeo.2013.03.005

Triangulating and guarding realistic polygons

G. Aloupis, P. Bose, V. Dujmovic, C.M. Gray, S. Langerman, B. Speckmann

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Abstract

We propose a new model of realistic input: k-guardable objects. An object is k-guardable if its boundary can be seen by k guards. We show that k-guardable polygons generalize two previously identified classes of realistic input. Following this, we give two simple algorithms for triangulating k-guardable polygons. One algorithm requires the guards as input while the other does not. Both take linear time assuming that k is constant and both are easily implementable.

Original language	English
Pages (from-to)	296-306
Journal	Computational Geometry
Volume	47
Issue number	2, Part C
DOIs	https://doi.org/10.1016/j.comgeo.2013.03.005
Publication status	Published - 2014

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abstract = "We propose a new model of realistic input: k-guardable objects. An object is k-guardable if its boundary can be seen by k guards. We show that k-guardable polygons generalize two previously identified classes of realistic input. Following this, we give two simple algorithms for triangulating k-guardable polygons. One algorithm requires the guards as input while the other does not. Both take linear time assuming that k is constant and both are easily implementable.",

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AU - Aloupis, G.

AU - Bose, P.

AU - Dujmovic, V.

AU - Gray, C.M.

AU - Langerman, S.

AU - Speckmann, B.

PY - 2014

Y1 - 2014

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AB - We propose a new model of realistic input: k-guardable objects. An object is k-guardable if its boundary can be seen by k guards. We show that k-guardable polygons generalize two previously identified classes of realistic input. Following this, we give two simple algorithms for triangulating k-guardable polygons. One algorithm requires the guards as input while the other does not. Both take linear time assuming that k is constant and both are easily implementable.

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DO - 10.1016/j.comgeo.2013.03.005

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SP - 296

EP - 306

JO - Computational Geometry

JF - Computational Geometry

SN - 0925-7721

IS - 2, Part C

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Triangulating and guarding realistic polygons

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