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2015 | OriginalPaper | Chapter

Swiss Canton Regions: A Model for Complex Objects in Geographic Partitions

Authors : Matthew P. Dube, Max J. Egenhofer, Joshua A. Lewis, Shirly Stephen, Mark A. Plummer

Published in: Spatial Information Theory

Publisher: Springer International Publishing

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Abstract

Spatial regions are a fundamental abstraction of geographic phenomena. While simple regions—disk-like and simply connected—prevail, in partitions complex configurations with holes and/or separations occur often as well. Swiss cantons are one highlighting example of these, bringing in addition variations of holes and separations with point contacts. This paper develops a formalism to construct topologically distinct configurations based on simple regions. Using an extension to the compound object model, this paper contributes a method for explicitly constructing a complex region, called a canton region, and also provides a mechanism to determine the corresponding complement of such a region.

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The other hole in Switzerland, filled by the German exclave of Büsingen, is a hole formed by the union of the cantons Schaffhausen, Thurgau, and Zürich so that no single Swiss canton has a hole filled by the German exclave.

Although most maps account only two holes in Vaud, a third hole is occupied by a monastery in Avenches, which is an exclave of the canton Fribourg. The swisstopo vector map swissBOUNDARIES3D captures the hole correctly. The 2000 Swiss Census also accounts for this Fribourgeois exclave.

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Title: Swiss Canton Regions: A Model for Complex Objects in Geographic Partitions
Authors: Matthew P. Dube
Max J. Egenhofer
Joshua A. Lewis
Shirly Stephen
Mark A. Plummer
Publisher: Springer International Publishing
Book: Spatial Information Theory
Print ISBN: 978-3-319-23373-4

Electronic ISBN: 978-3-319-23374-1

Copyright Year: 2015
DOI: https://doi.org/10.1007/978-3-319-23374-1_15

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