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A simple linear algorithm for intersecting convex polygons

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Abstract

LetP andQ be two convex polygons withm andn vertices, respectively, which are specified by their cartesian coordinates in order. A simpleO(m+n) algorithm is presented for computing the intersection ofP andQ. Unlike previous algorithms, the new algorithm consists of a two-step combination of two simple algorithms for finding convex hulls and triangulations of polygons.

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Authors and Affiliations

  1. School of Computer Science, McGill University, 805 Sherbrooke Street West, H3A 2K6, Montreal, Quebec, Canada

    Godfried T. Toussaint

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  1. Godfried T. Toussaint
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Toussaint, G.T. A simple linear algorithm for intersecting convex polygons. The Visual Computer 1, 118–123 (1985). https://doi.org/10.1007/BF01898355

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