Elementary set operations with d-dimensional polyhedra
Proceedings on International Workshop on Computational Geometry on Computational Geometry and its Applications
Introduction to Solid Modeling
Introduction to Solid Modeling
Representing geometric structures in d dimensions: topology and order
SCG '89 Proceedings of the fifth annual symposium on Computational geometry
Topological models for boundary representation: a comparison with n-dimensional generalized maps
Computer-Aided Design - Beyond solid modelling
Computers & Geosciences - Special issue on GIS design models
Spatial concepts, geometric data models, and geometric data structures
Computers & Geosciences - Special issue on GIS design models
Good orders for incremental (re)construction
SCG '97 Proceedings of the thirteenth annual symposium on Computational geometry
Sweep algorithms for constructing higher-dimensional constrained Delaunay triangulations
Proceedings of the sixteenth annual symposium on Computational geometry
A Quasi-Four Dimensional Database for the Built Environment
DEM '01 Proceedings of the First International Symposium on Digital Earth Moving
Discrete & Computational Geometry
A simplex-based approach to implement dimension independent spatial analyses
Computers & Geosciences
5D data modelling: full integration of 2D/3D space, time and scale dimensions
GIScience'10 Proceedings of the 6th international conference on Geographic information science
Using extrusion to generate higher-dimensional GIS datasets
Proceedings of the 21st ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems
Hi-index | 0.00 |
Real-world phenomena have traditionally been modelled in 2D/3D GIS. However, powerful insights can be gained by integrating additional non-spatial dimensions, such as time and scale. While this integration to form higher-dimensional objects is theoretically sound, its implementation is problematic since the data models used in GIS are not appropriate. In this paper, we present our research on one possible data model/structure to represent higher-dimensional GIS datasets: generalised maps. It is formally defined, but is not directly applicable for the specific needs of GIS data, e.g. support for geometry, overlapping and disconnected regions, holes, complex handling of attributes, etc. We review the properties of generalised maps, discuss needs to be modified for higher-dimensional GIS, and describe the modifications and extensions that we have made to generalised maps. We conclude with where this research fits within our long term goal of a higher dimensional GIS, and present an outlook on future research.