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A Cost-Optimal Algorithm for Guard Zone Problem

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5408))

Abstract

Given a simple polygon P, its guard zone G (of width r) is a closed region consisting of straight line segments and circular arcs (of radius r) bounding the polygon P such that there exists no pair of points p (on the boundary of P) and q (on the boundary of G) having their Euclidean distance d(p,q) less than r. In this paper we have designed a time-optimal sequential algorithm to solve the guard zone problem, and developed a cost-optimal parallel counterpart of the same problem for solving it in distributed environment.

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© 2008 Springer-Verlag Berlin Heidelberg

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Mehera, R., Pal, R.K. (2008). A Cost-Optimal Algorithm for Guard Zone Problem. In: Garg, V., Wattenhofer, R., Kothapalli, K. (eds) Distributed Computing and Networking. ICDCN 2009. Lecture Notes in Computer Science, vol 5408. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92295-7_14

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  • DOI: https://doi.org/10.1007/978-3-540-92295-7_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-92294-0

  • Online ISBN: 978-3-540-92295-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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