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A general vector-based algorithm to generate weighted Voronoi diagrams based on ArcGIS Engine

Authors: Tian Song; Ximin Cui; Gong Yu;

A general vector-based algorithm to generate weighted Voronoi diagrams based on ArcGIS Engine

Abstract

The theoretical and computational aspects of weighted Voronoi diagrams have been widely researched and applied, but few algorithms are implemented in combination with the geographic information system software for practical use. A general vector-based approach is proposed to generate multiplicatively weighted Voronoi diagrams, additively weighted Voronoi diagrams and additively weighted power Voronoi diagrams for points by using methods of region division and region union based on ArcGIS Engine, aiming to establish a kind of spatial data model used for boundary division, urban centricity expression and force field analysis, etc. Finally, this paper shows an experiment proving the practicability of the proposed algorithm in the visualization of spatial data.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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