Representing geometric structures in d dimensions: topology and order
SCG '89 Proceedings of the fifth annual symposium on Computational geometry
Data Cube: A Relational Aggregation Operator Generalizing Group-By, Cross-Tab, and Sub-Totals
Data Mining and Knowledge Discovery
Spatial SQL: A Query and Presentation Language
IEEE Transactions on Knowledge and Data Engineering
Literature review of spatio-temporal database models
The Knowledge Engineering Review
Object-relational management of multiply represented geographic entities
SSDBM '03 Proceedings of the 15th International Conference on Scientific and Statistical Database Management
Conceptual Modeling for Traditional and Spatio-Temporal Applications: The MADS Approach
Conceptual Modeling for Traditional and Spatio-Temporal Applications: The MADS Approach
Modelling 3D spatial objects in a geo-DBMS using a 3D primitive
Computers & Geosciences
A semantic-rich multi-scale information model for topography
International Journal of Geographical Information Science
Using the DBV model to maintain versions of multi-scale geospatial data
ER'12 Proceedings of the 2012 international conference on Advances in Conceptual Modeling
Modelling higher dimensional data for GIS using generalised maps
ICCSA'13 Proceedings of the 13th international conference on Computational Science and Its Applications - Volume 1
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This paper proposes an approach for data modelling in five dimensions. Apart from three dimensions for geometrical representation and a fourth dimension for time, we identify scale as fifth dimensional characteristic. Considering scale as an extra dimension of geographic information, fully integrated with the other dimensions, is new. Through a formal definition of geographic data in a conceptual 5D continuum, the data can be handled by one integrated approach assuring consistency across scale and time dimensions. Because the approach is new and challenging, we choose to step-wise studying several combinations of the five dimensions, ultimately resulting in the optimal 5D model. We also propose to apply mathematical theories on multidimensional modelling to well established principles of multidimensional modelling in the geo-information domain. The result is a conceptual full partition of the 3Dspace+time+scale space (i.e. no overlaps, no gaps) realised in a 5D data model implemented in a Database Management System.