Transactions on Computational Science XIV: Special Issue on Voronoi Diagrams and Delaunay Triangulation

This issue contains papers, presented at the International Symposium on Voronoi Diagrams 2010, held in Quebec City, Canada, in June 2010.

The topics covered include:
the development of new generalized Voronoi diagrams and algorithms including round-trip Voronoi diagrams, maximal zone diagrams, Jensen-Bregman Voronoi diagrams, hyperbolic Voronoi diagrams, and moving network Voronoi diagrams;
new algorithms based on Voronoi diagrams for applications in science and engineering, including geosensor networks deployment and optimization and homotopic object reconstruction; and
application of Delaunay triangulation for modeling and representation of Cosmic Web and rainfall distribution.

Table of Contents
Revisiting Hyperbolic Voronoi Diagrams in Two and Higher Dimensions from Theoretical, Applied and Generalized Viewpoints
Toshihiro Tanuma, Hiroshi Imai, and Sonoko Moriyama Mollified Zone Diagrams and Their Computation
Sergio C. de Biasi, Bahman Kalantari, and Iraj Kalantari Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web
Skew Jensen-Bregman Voronoi Diagrams
Continuous-TimeMoving Network Voronoi Diagram
A GIS Based Wireless Sensor Network Coverage Estimation and Optimization: A Voronoi Approach
Rainfall Distribution Based on a Delaunay TriangulationMethod
Homotopic Object Reconstruction Using Natural Neighbor Barycentric Coordinates
Round-Trip Voronoi Diagrams and Doubling Density in Geographic Networks
Author Index