A New Real Time Algorithm for the Two Dimensional Convex Hull Problem

Cover A New Real Time Algorithm for the Two Dimensional Convex Hull Problem
A New Real Time Algorithm for the Two Dimensional Convex Hull Problem
Edmond Schonberg
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The average behaviour can be seen to be linear in N, for most -reasonable distributions of points in the plane. This follows from the results of Renyl [3] and Devroye [4] That state that the expectation value of the cardinality C of the convex hull of N points in the plane satisfies: E(C) / N -> as N -> ti that a further pass is required. To estimate the probability that more than n passes are required, we need to estimate the probability that the vertices remaining under consideration subtend... an angle of more than it.

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