Spatial topology and its structural analysis based on the concept of simplicial complex

Bin Jiang*, Itzhak Omer

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

4 Scopus citations

Abstract

This paper introduces a model that identifies spatial relationships for a structural analysis based on the concept of simplicial complex. The spatial relationships are identified through overlapping two map layers, namely a primary layer and a context layer. The identified spatial relationships are represented as a simplical complex, in which simplices and vertices represent respectively two layers of objects. The model relies on simplical complex, a key concept in Q-analysis for overall structure analysis. To quantify structural properties of individual primary objects (or simplices), we define a set of measures by considering multidimensional chains of connectivity. With the model, the interaction and relationships with a geographic system are modeled both from local and global perspectives. The structural properties and modeling capabilities are illustrated with some examples.

Original languageEnglish
Pages204-212
Number of pages9
StatePublished - 2006
Event9th AGILE International Conference on Geographic Information Science: "Shaping the Future of Geographic Information Science in Europe", AGILE 2006 - Visegrad, Hungary
Duration: 20 Apr 200622 Apr 2006

Conference

Conference9th AGILE International Conference on Geographic Information Science: "Shaping the Future of Geographic Information Science in Europe", AGILE 2006
Country/TerritoryHungary
CityVisegrad
Period20/04/0622/04/06

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