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COMPGEOM
1995
ACM
15 years 1 months ago
How Good are Convex Hull Algorithms?
A convex polytope P can be speci ed in two ways: as the convex hull of the vertex set V of P, or as the intersection of the set H of its facet-inducing halfspaces. The vertex enum...
David Avis, David Bremner
COMPGEOM
1995
ACM
15 years 1 months ago
Searching for the Kernel of a Polygon - A Competitive Strategy
We present a competitive strategy for walking into the kernel of an initially unknown star-shaped polygon. From an arbitrary start point, s, within the polygon, our strategy find...
Christian Icking, Rolf Klein
COMPGEOM
1991
ACM
15 years 1 months ago
A Pivoting Algorithm for Convex Hulls and Vertex Enumeration of Arrangements and Polyhedra
We present a new pivot-based algorithm which can be used with minor modification for the enumeration of the facets of the convex hull of a set of points, or for the enumeration o...
David Avis, Komei Fukuda
COMPGEOM
1987
ACM
15 years 1 months ago
Simplified Voronoi Diagrams
We are interested in Voronoi diagrams as a tool in robot path planning, where the search for a path in an r-dimensional space may be simplified to a search on an (r- l)-dimensional...
John F. Canny, Bruce Randall Donald
COMPGEOM
2006
ACM
14 years 11 months ago
On the ICP algorithm
We present upper and lower bounds for the number of iterations performed by the Iterative Closest Point (ICP) algorithm. This algorithm has been proposed by Besl and McKay [4] as ...
Esther Ezra, Micha Sharir, Alon Efrat