Memory-constrained algorithms for simple polygons

T. Asano, K. Buchin, M. Buchin, M. Korman, W. Mulzer, G. Rote, A. Schulz

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

13 Citations (Scopus)
57 Downloads (Pure)

Abstract

A constant-work-space algorithm has read-only access to an input array and may use only O(1) additional words of O(log n) bits, where n is the input size. We show how to triangulate a plane straight-line graph with n vertices in O(n2) time and constant workspace. We also consider the problem of preprocessing a simple n-gon P for shortest path queries, where P is given by the ordered sequence of its vertices. For this, we relax the space constraint to allow s words of work-space. After quadratic preprocessing, the shortest path between any two points inside P can be found in O(n2/s) time.
Original languageEnglish
Title of host publicationAbstracts 28th European Workshop on Computational Geometry (EuroCG 2012, Assisi, Italy, March 19-21, 2012)
Place of PublicationPerugia
PublisherUniversità degli Studi di Perugia
Pages49-52
Publication statusPublished - 2012

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    Asano, T., Buchin, K., Buchin, M., Korman, M., Mulzer, W., Rote, G., & Schulz, A. (2012). Memory-constrained algorithms for simple polygons. In Abstracts 28th European Workshop on Computational Geometry (EuroCG 2012, Assisi, Italy, March 19-21, 2012) (pp. 49-52). Università degli Studi di Perugia.