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 languageEnglish
Pages (from-to)296-306
JournalComputational Geometry
Volume47
Issue number2, Part C
DOIs
Publication statusPublished - 2014

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