1979Communications of the ACMOpen access

An optimal real-time algorithm for planar convex hulls

F. P. Preparata

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Abstract

An algorithm is described for the construction in real-time of the convex hull of a set of n points in the plane. Using an appropriate data structure, the algorithm constructs the convex hull by successive updates, each taking time O (log n ), thereby achieving a total processing time O ( n log n ).

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What this paper is about

An algorithm is described for the construction in real-time of the convex hull of a set of n points in the plane. Using an appropriate data structure, the algorithm constructs the convex hull by successive updates, each taking time O (log n ), thereby achieving a total processing time O ( n log n ).

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Available abstract

An algorithm is described for the construction in real-time of the convex hull of a set of n points in the plane. Using an appropriate data structure, the algorithm constructs the convex hull by successive updates, each taking time O (log n ), thereby achieving a total processing time O ( n log n ).

Key concepts: Convex hull, Output-sensitive algorithm, Hull, Orthogonal convex hull, Algorithm, Planar, Regular polygon, Convex combination

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