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Publications [#235571] of Pankaj K. Agarwal

Papers Published

  1. Agarwal, PK; Sharir, M, Circle Shooting in a Simple Polygon, Journal of Algorithms, vol. 14 no. 1 (1993), pp. 69-87, ISSN 0196-6774 [doi]
    (last updated on 2017/12/17)

    Abstract:
    Consider the following problem: Given a simple n-gon P, preprocess it so that for a query circle π and a point s on π, one can quickly compute Φ(P, π, s), the first intersection point between P and π as we follow π from s in clockwise direction. We show that P can be preprocessed, in time O(n log3n), into a data structure of size O(n log3n), so that, for a query circle π, Φ(P, π, s) can be computed in O(log4n) time. We apply the circle shooting algorithm to report all K intersections between a set of m circular arcs and another set of n circular arcs in time O((m√n + n√m )log2.5(m + n) + (K + m + n)log4(m + n)). © 1993 Academic Press. All rights reserved.

 

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