Enriching the semantics of the directed polyline–polygon topological relationships: the $$\mathcal {DLP}$$ DLP -intersection matrix

A. Formica, M. Mazzei, E. Pourabbas () and M. Rafanelli
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A. Formica: National Research Council
M. Mazzei: National Research Council
E. Pourabbas: National Research Council
M. Rafanelli: National Research Council

Journal of Geographical Systems, 2017, vol. 19, issue 2, No 4, 175-196

Abstract: Abstract In this paper, we define an intersection matrix for enriching the semantics of the topological relationships between a directed polyline and a polygon. In particular, we propose the $$\mathcal {DLP}$$ DLP -intersection matrix which enables us to model the origin and destination points, as well as the right- and left-hand sides of the directed polyline. This matrix overcomes the limitation of the well-known DE-9IM, because it allows the representation of the different dimensions of the intersection results at the same time. Accordingly, the geo-operators have been revised and extended in order to address the notions of right- and left-hand sides of a directed polyline, as well as additional notions related to the orientation of the polyline. The $$\mathcal {DLP}$$ DLP -intersection matrix has been implemented by extending the Java Topology Suite methods in order to address the new geo-operators based on the notion of orientation.

Keywords: Directed polyline; Polygon; Topological relationships; Intersection matrix (search for similar items in EconPapers)
JEL-codes: D8 D83 (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10109-017-0246-1

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