A Lower Bound to Finding Convex Hulls
Journal of the ACM (JACM)
A New Convex Hull Algorithm for Planar Sets
ACM Transactions on Mathematical Software (TOMS)
An optimal real-time algorithm for planar convex hulls
Communications of the ACM
Convex hulls of finite sets of points in two and three dimensions
Communications of the ACM
The Design and Analysis of Computer Algorithms
The Design and Analysis of Computer Algorithms
The Ultimate Planar Convex Hull Algorithm ?
The Ultimate Planar Convex Hull Algorithm ?
Computational geometry.
Journal of Computer and System Sciences
From Binary to Grey Scale Convex Hulls
Fundamenta Informaticae
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Kirkpatrick and Seidel [13,14] recently proposed an algorithm for computing the convex hull of n points in the plane that runs in O(n log h) worst case time, where h denotes the number of points on the convex hull of the set. Here a modification of their algorithm is proposed that is believed to run in O(n) expected time for many reasonable distributions of points. The above O(n log h) algorithmsare experimentally compared to the O(n log n) 'throw-away' algorithms of Akl, Devroye and Toussaint [2, 8, 20]. The results suggest that although the O(n Log h) algorithms may be the 'ultimate' ones in theory, they are of little practical value from the point of view of running time.