Title
Simultaneous storage of primal and dual three-dimensional subdivisions
Abstract
We propose a new general-purpose data structure useful for a variety of three-dimensional applications. The data structure has the characteristic of storing simultaneously the primal and dual subdivisions of a three-dimensional manifold. We argue in this paper that storing both subdivisions, for instance the Voronoi diagram and the Delaunay tetrahedralization, can be beneficial for many application domains, notably for the modelling of datasets in geosciences or for representing boundaries of real-world features. Our structure is an extension of the well-known quad-edge data structure used for representing two-dimensional manifolds. We describe the basic properties of this augmented quad-edge structure, along with the navigation operators, and we also demonstrate its usefulness with some examples of applications.
Year
DOI
Venue
2007
10.1016/j.compenvurbsys.2006.03.003
Computers, Environment and Urban Systems
Keywords
DocType
Volume
Data structure,Three-dimensional modelling,Duality,Voronoi diagram,Delaunay tetrahedralization
Journal
31
Issue
ISSN
Citations 
4
0198-9715
16
PageRank 
References 
Authors
1.19
22
2
Name
Order
Citations
PageRank
Hugo Ledoux123122.27
Christopher M. Gold228935.07