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ISPRS Int. J. Geo-Inf. 2016, 5(2), 19; doi:10.3390/ijgi5020019

The Dual Half-Edge—A Topological Primal/Dual Data Structure and Construction Operators for Modelling and Manipulating Cell Complexes

1
Department of Architecture and the Built Environment, Faculty of Environment and Technology, University of the West of England, Bristol BS16 1QY, UK
2
Faculty of Computing, Engineering and Science, University of South Wales, Pontypridd, Wales CF37 1DL, UK
3
Faculty of Geosciences & Environmental Engineering, Southwest Jiaotong University, Chengdu 610031, China
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Academic Editors: François Anton and Wolfgang Kainz
Received: 24 September 2015 / Revised: 25 January 2016 / Accepted: 5 February 2016 / Published: 19 February 2016
(This article belongs to the Special Issue Multi-Dimensional Spatial Data Modeling)

Abstract

There is an increasing need for building models that permit interior navigation, e.g., for escape route analysis. This paper presents a non-manifold Computer-Aided Design (CAD) data structure, the dual half-edge based on the Poincaré duality that expresses both the geometric representations of individual rooms and their topological relationships. Volumes and faces are expressed as vertices and edges respectively in the dual space, permitting a model just based on the storage of primal and dual vertices and edges. Attributes may be attached to all of these entities permitting, for example, shortest path queries between specified rooms, or to the exterior. Storage costs are shown to be comparable to other non-manifold models, and construction with local Euler-type operators is demonstrated with two large university buildings. This is intended to enhance current developments in 3D Geographic Information Systems for interior and exterior city modelling. View Full-Text
Keywords: three-dimensional modelling; solid modelling; data structures; Euler operators three-dimensional modelling; solid modelling; data structures; Euler operators
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Boguslawski, P.; Gold, C. The Dual Half-Edge—A Topological Primal/Dual Data Structure and Construction Operators for Modelling and Manipulating Cell Complexes. ISPRS Int. J. Geo-Inf. 2016, 5, 19.

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