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Moving discs between polygons

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Automata, Languages and Programming (ICALP 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 317))

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Abstract

An algorithm is given for finding a collision free path for a disc between a collection of polygons having n corners in total. The polygons are fixed and can be preprocessed. One query specifies the radius r of the disc to be moved and start and destination point of the center of the disc. The answer whether a feasible path exists is given in time O(log n). Returning a feasible path is done in additional time proportional to the length of the description of the path. Preprocessing time is O(n log n) and space complexity is O(n).

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Authors and Affiliations

  1. FB 10, Universität des Saarlandes, West Germany

    Hans Rohnert

Authors
  1. Hans Rohnert
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Timo Lepistö Arto Salomaa

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© 1988 Springer-Verlag Berlin Heidelberg

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Rohnert, H. (1988). Moving discs between polygons. In: Lepistö, T., Salomaa, A. (eds) Automata, Languages and Programming. ICALP 1988. Lecture Notes in Computer Science, vol 317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19488-6_137

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  • DOI: https://doi.org/10.1007/3-540-19488-6_137

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19488-0

  • Online ISBN: 978-3-540-39291-0

  • eBook Packages: Springer Book Archive

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