Voronoi Diagrams.
F Aurenhammer, R Klein - Handbook of computational geometry, 2000 - books.google.com
The topic of this chapter, Voronoi diagrams, differs from other areas of computational
geometry, in that its origin dates back to the 17th century. In his book on the principles of …
geometry, in that its origin dates back to the 17th century. In his book on the principles of …
Voronoi diagrams and Delaunay triangulations
S Fortune - Handbook of discrete and computational geometry, 2017 - api.taylorfrancis.com
The Voronoi diagram of a set of sites partitions space into regions, one per site; the region
for a site s consists of all points closer to s than to any other site. The dual of the Voronoi …
for a site s consists of all points closer to s than to any other site. The dual of the Voronoi …
[PDF][PDF] A comparison of sequential Delaunay triangulation algorithms
P Su, RLS Drysdale - Proceedings of the eleventh annual symposium on …, 1995 - dl.acm.org
Robert L. Scot Drysdale* Department of Computer Science 6211 Sudikoff Laboratory
Dartmouth College, Hanover NH 03755-3510, USA scot. drysdale@ dartmouth. edu …
Dartmouth College, Hanover NH 03755-3510, USA scot. drysdale@ dartmouth. edu …
Construction of the Voronoi diagram for'one million'generators in single-precision arithmetic
K Sugihara, M Iri - Proceedings of the IEEE, 1992 - ieeexplore.ieee.org
A numerically stable algorithm for constructing Voronoi diagrams in the plane is presented.
In this algorithm higher priority is placed on the topological structure than on numerical …
In this algorithm higher priority is placed on the topological structure than on numerical …
Streaming computation of Delaunay triangulations
M Isenburg, Y Liu, J Shewchuk… - ACM SIGGRAPH 2006 …, 2006 - dl.acm.org
We show how to greatly accelerate algorithms that compute Delaunay triangulations of
huge, well-distributed point sets in 2D and 3D by exploiting the natural spatial coherence in …
huge, well-distributed point sets in 2D and 3D by exploiting the natural spatial coherence in …
A note on point location in Delaunay triangulations of random points
This short note considers the problem of point location in a Delaunay triangulation of n
random points, using no additional preprocessing or storage other than a standard data …
random points, using no additional preprocessing or storage other than a standard data …
[PDF][PDF] Tools for Triangulations and Tetrahedrizations.
GM Nielson - Scientific Visualization, 1994 - researchgate.net
3.1 Basics 3.1. 1 Definitions, Data Structures and Formulas for Tetrahedrizations 3.1. 2
Some Special Tetrahedrizations 3.2 Delaunay Tetrahedrizations 3.3 Visibility Sorting of …
Some Special Tetrahedrizations 3.2 Delaunay Tetrahedrizations 3.3 Visibility Sorting of …
A raster-based method for computing Voronoi diagrams of spatial objects using dynamic distance transformation
J Chen - International Journal of Geographical Information …, 1999 - Taylor & Francis
The Voronoi diagram has been suggested as an appropriate model for the description of
relations between spatial objects (Gold 1992) and it is the only possible solution (which is …
relations between spatial objects (Gold 1992) and it is the only possible solution (which is …
Constructing Delaunay triangulations along space-filling curves
K Buchin - European Symposium on Algorithms, 2009 - Springer
Incremental construction con BRIO using a space-filling curve order for insertion is a popular
algorithm for constructing Delaunay triangulations. So far, it has only been analyzed for the …
algorithm for constructing Delaunay triangulations. So far, it has only been analyzed for the …
An incremental construction algorithm for Delaunay triangulation using the nearest-point paradigm
This paper introduces a new algorithm for constructing a 2D Delaunay triangulation. It
belongs to the class of incremental insertion algorithms, which are known as less …
belongs to the class of incremental insertion algorithms, which are known as less …