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Social and Behavioral Sciences Commons

Open Access. Powered by Scholars. Published by Universities.®

2009

Geography

The University of Maine

Space perception topology

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Full-Text Articles in Social and Behavioral Sciences

An Embedding Graph For 9-Intersection Topological Spatial Relations, Matthew P. Dube May 2009

An Embedding Graph For 9-Intersection Topological Spatial Relations, Matthew P. Dube

Electronic Theses and Dissertations

In the practice of mapmaking, it is commonplace to represent many spatial phenomena as if they were in a different dimension than they truly are. In this context, it is extremely important to understand the total set of relationships available in a two-dimensional setting. Currently, there exist many sets of relations in two dimensions that have been modeled by the 9-intersection matrix. Many of these sets of relations have defined conceptual neighborhood graphs that show the inherent topological similarities between different types of configurations. Many of these sets of relations, however, do not have established conceptual neighborhood graphs. Furthermore, …