Farthest-point queries with geometric and combinatorial constraints

O. Daescu, N. Mi, C.S. Shin, A. Wolff

    Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

    Samenvatting

    In this paper we discuss farthest-point problems in which a set or sequence S of n points in the plane is given in advance and can be preprocessed to answer various queries efficiently. First, we give a data structure that can be used to compute the point farthest from a query line segment in O(log2 n) time. Our data structure needs O(n log n) space and preprocessing time. To the best of our knowledge no solution to this problem has been suggested yet. Second, we show how to use this data structure to obtain an output-sensitive query-based algorithm for polygonal path simplification. Both results are based on a series of data structures for fundamental farthest-point queries that can be reduced to each other.
    Originele taal-2Engels
    TitelDiscrete and computational geometry : Japanese Conference, JCDCG 2004, Tokyo, Japan, October 8-11, 2004 : revised selected papers
    RedacteurenJ. Akiyama, M. Kano, X. Tan
    Plaats van productieBerlin
    UitgeverijSpringer
    Pagina's62-75
    ISBN van geprinte versie3-540-30467-3
    DOI's
    StatusGepubliceerd - 2005

    Publicatie series

    NaamLecture Notes in Computer Science
    Volume3742
    ISSN van geprinte versie0302-9743

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