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
The Delaunay triangulation of n points in the plane can be constructed in o(n log n) time when the c...
Delaunay triangulations and Voronoi diagrams have found numerous applications in surface modeling, s...
Intrinsic Delaunay triangulation (IDT) naturally generalizes Delaunay triangulation from R2 to curve...
We show that converting Apollonius and Laguerre diagrams from an already built Delaunay triangulatio...
International audienceWe show that converting Apollonius and Laguerre diagrams from an already built...
Recently it was shown that — under reasonable assumptions— Voronoi diagrams and Delaunay triangulati...
Recently it was shown that — under reasonable as-sumptions — Voronoi diagrams and Delaunay tri-angul...
Computing the Delaunay triangulation of n points requires usually a minimum of (n log n) operations...
The Delaunay triangulation of n points in the plane can be constructed in o(n log n) time when the c...
We present a new algorithm that produces a well-spaced superset of points conforming to a given inpu...
Apollonius diagrams, also known as additively weighted Voronoi diagrams, are an extension of Voronoi...
We show that the abstract Voronoi diagram of n sites in the plane can be constructed in time O(n log...
AbstractAn algorithm by Guibas and Stolfi (1985) constructs, for a finite set S of n sites in the pl...
We show that the abstract Voronoi diagram of n sites in the plane can be constructed in time O(n log...
We describe a new algorithm for computing the Voronoi diagram of a set of n points in constant-dimen...
The Delaunay triangulation of n points in the plane can be constructed in o(n log n) time when the c...
Delaunay triangulations and Voronoi diagrams have found numerous applications in surface modeling, s...
Intrinsic Delaunay triangulation (IDT) naturally generalizes Delaunay triangulation from R2 to curve...
We show that converting Apollonius and Laguerre diagrams from an already built Delaunay triangulatio...
International audienceWe show that converting Apollonius and Laguerre diagrams from an already built...
Recently it was shown that — under reasonable assumptions— Voronoi diagrams and Delaunay triangulati...
Recently it was shown that — under reasonable as-sumptions — Voronoi diagrams and Delaunay tri-angul...
Computing the Delaunay triangulation of n points requires usually a minimum of (n log n) operations...
The Delaunay triangulation of n points in the plane can be constructed in o(n log n) time when the c...
We present a new algorithm that produces a well-spaced superset of points conforming to a given inpu...
Apollonius diagrams, also known as additively weighted Voronoi diagrams, are an extension of Voronoi...
We show that the abstract Voronoi diagram of n sites in the plane can be constructed in time O(n log...
AbstractAn algorithm by Guibas and Stolfi (1985) constructs, for a finite set S of n sites in the pl...
We show that the abstract Voronoi diagram of n sites in the plane can be constructed in time O(n log...
We describe a new algorithm for computing the Voronoi diagram of a set of n points in constant-dimen...
The Delaunay triangulation of n points in the plane can be constructed in o(n log n) time when the c...
Delaunay triangulations and Voronoi diagrams have found numerous applications in surface modeling, s...
Intrinsic Delaunay triangulation (IDT) naturally generalizes Delaunay triangulation from R2 to curve...