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

Author

Listed:
  • A. Formica

    (National Research Council)

  • M. Mazzei

    (National Research Council)

  • E. Pourabbas

    (National Research Council)

  • M. Rafanelli

    (National Research Council)

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.

Suggested Citation

  • A. Formica & M. Mazzei & E. Pourabbas & M. Rafanelli, 2017. "Enriching the semantics of the directed polyline–polygon topological relationships: the $$\mathcal {DLP}$$ DLP -intersection matrix," Journal of Geographical Systems, Springer, vol. 19(2), pages 175-196, April.
    • Handle: RePEc:kap:jgeosy:v:19:y:2017:i:2:d:10.1007_s10109-017-0246-1
    DOI: 10.1007/s10109-017-0246-1
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    Cited by:

    1. Jingwei Shen & Kaifang Shi & Min Chen, 2020. "Topological relations between directed line segments in the cyclic space," Journal of Geographical Systems, Springer, vol. 22(4), pages 497-518, October.
    2. Jingwei Shen & Dongzhe Zhao & Kaifang Shi & Mingguo Ma, 2021. "A model for representing topological relations between lines considering metric details," Journal of Geographical Systems, Springer, vol. 23(3), pages 407-424, July.

    More about this item

    Keywords

    Directed polyline; Polygon; Topological relationships; Intersection matrix;
    All these keywords.

    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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