Add to ORKGInternational audienceWe show that converting Apollonius and Laguerre diagrams from an already built Delaunay triangulation of a set of n points in 2D requires at least Ω(n log n) computation time. We also show that converting an Apollonius diagram of a set of n weighted points in 2D from a Laguerre diagram and vice-versa requires at least Ω(n log n) computation time as well. Furthermore , we present a very simple randomized incremental construction algorithm that takes expected O(n log n) computation time to build an Apollonius diagram of non-overlapping circles in 2D
Recently it was shown that — under reasonable as-sumptions — Voronoi diagrams and Delaunay tri-angul...
International audienceThe Delaunay triangulation and the Voronoi diagram are two classic geometric s...
We describe a new algorithm for computing the Voronoi diagram of a set of n points in constant-dimen...
International audienceWe show that converting Apollonius and Laguerre diagrams from an already built...
We show that converting Apollonius and Laguerre diagrams from an already built Delaunay triangulatio...
Recently it was shown that — under reasonable assumptions— Voronoi diagrams and Delaunay triangulati...
Computing the Delaunay triangulation of n points requires usually a minimum of Omega(n log n) operat...
AbstractWe study the predicates involved in an efficient dynamic algorithm for computing the Apollon...
International audienceWe present a new algorithm that produces a well-spaced superset of points conf...
This research was initiated at the McGill-INRIAWorkshop on Computational Geometry in Computer Graphi...
Apollonius diagrams, also known as additively weighted Voronoi diagrams, are an extension of Voronoi...
In this paper, we present a Θ(n) time worst-case deterministic algorithm for finding the constrained...
International audienceWe examine the problem of computing exactly the Voronoi diagram (via the dual ...
Delaunay triangulations and Voronoi diagrams have found numerous applications in surface modeling, s...
Given n points in the plane with integer coordinates bounded by U ^ 2w, we show that the Voronoi dia...
Recently it was shown that — under reasonable as-sumptions — Voronoi diagrams and Delaunay tri-angul...
International audienceThe Delaunay triangulation and the Voronoi diagram are two classic geometric s...
We describe a new algorithm for computing the Voronoi diagram of a set of n points in constant-dimen...
International audienceWe show that converting Apollonius and Laguerre diagrams from an already built...
We show that converting Apollonius and Laguerre diagrams from an already built Delaunay triangulatio...
Recently it was shown that — under reasonable assumptions— Voronoi diagrams and Delaunay triangulati...
Computing the Delaunay triangulation of n points requires usually a minimum of Omega(n log n) operat...
AbstractWe study the predicates involved in an efficient dynamic algorithm for computing the Apollon...
International audienceWe present a new algorithm that produces a well-spaced superset of points conf...
This research was initiated at the McGill-INRIAWorkshop on Computational Geometry in Computer Graphi...
Apollonius diagrams, also known as additively weighted Voronoi diagrams, are an extension of Voronoi...
In this paper, we present a Θ(n) time worst-case deterministic algorithm for finding the constrained...
International audienceWe examine the problem of computing exactly the Voronoi diagram (via the dual ...
Delaunay triangulations and Voronoi diagrams have found numerous applications in surface modeling, s...
Given n points in the plane with integer coordinates bounded by U ^ 2w, we show that the Voronoi dia...
Recently it was shown that — under reasonable as-sumptions — Voronoi diagrams and Delaunay tri-angul...
International audienceThe Delaunay triangulation and the Voronoi diagram are two classic geometric s...
We describe a new algorithm for computing the Voronoi diagram of a set of n points in constant-dimen...