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A New Ultimate Convex Hull Algorithm in R² (2000)

Abstract
We present a very simple algorithm - NEWHULL - to find the convex hull of S = {P 1 , . . . , Pn}, n given points in R 2 . It may be thought of as a variant of Quickhull; however if the hull of S has h vertices, the algorithm runs in time #(n log h), worstcase. On the average it is much faster. Analysis suggests that NEWHULL should be twice as fast as the "ultimate" algorithm of Kirkpatrick and Seidel, and experimental evidence bears this out.

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Download http://citeseerx.ist.psu.edu/viewdoc/summary?doi=?doi=10.1.1.41.7199
Source http://www.cs.rutgers.edu/~steiger/hull.ps
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Repository CiteSeerX - Scientific Literature Digital Library and Search Engine (United States)
Type text
Language English