Spatial tessellations: concepts and applications of Voronoi diagrams
Spatial tessellations: concepts and applications of Voronoi diagrams
Object-oriented databases
Hierarchical triangulation for multiresolution surface description
ACM Transactions on Graphics (TOG)
Time Series Analysis: Forecasting and Control
Time Series Analysis: Forecasting and Control
A Pyramidal Data Structure for Triangle-Based Surface Description
IEEE Computer Graphics and Applications
Proceedings of the International Conference GIS - From Space to Territory: Theories and Methods of Spatio-Temporal Reasoning on Theories and Methods of Spatio-Temporal Reasoning in Geographic Space
A Hierarchical Triangle-Based Model for Terrain Description
Proceedings of the International Conference GIS - From Space to Territory: Theories and Methods of Spatio-Temporal Reasoning on Theories and Methods of Spatio-Temporal Reasoning in Geographic Space
Algorithmic Foundations of Geographic Information Systems, this book originated from the CISM Advanced School on the Algorithmic Foundations of Geographic Information Systems
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Recursive Voronoi diagrams (RVDs) use Voronoi concepts to tessellate a space with respect to a given set of generators and repeat the construction every time with a new generator set consisting of objects selected from the previous generator set plus features of the current tessellation. In this paper, we investigate the behaviour of three variants of a single recursive Voronoi construction involving point generators. We describe how these structures may be constructed in Arc/Info. Although we suggest that RVDs have a number of potential uses in GIS, we focus on a spatial modelling perspective and examine some of their statistical characteristics. The RVDs examined are found to be fractal in nature.