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Geoscientific Model Development An interactive open-access journal of the European Geosciences Union
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Volume 6, issue 5
Geosci. Model Dev., 6, 1591–1599, 2013
https://doi.org/10.5194/gmd-6-1591-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.
Geosci. Model Dev., 6, 1591–1599, 2013
https://doi.org/10.5194/gmd-6-1591-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.

Model experiment description paper 17 Sep 2013

Model experiment description paper | 17 Sep 2013

An approach to computing direction relations between separated object groups

H. Yan1,2, Z. Wang1, and J. Li2 H. Yan et al.
  • 1Department of Geographic Information Science, Faculty of Geomatics, Lanzhou Jiaotong University, Lanzhou 730070, China
  • 2Department of Geography & Environmental Management, Faculty of Environment, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

Abstract. Direction relations between object groups play an important role in qualitative spatial reasoning, spatial computation and spatial recognition. However, none of existing models can be used to compute direction relations between object groups. To fill this gap, an approach to computing direction relations between separated object groups is proposed in this paper, which is theoretically based on gestalt principles and the idea of multi-directions. The approach firstly triangulates the two object groups, and then it constructs the Voronoi diagram between the two groups using the triangular network. After this, the normal of each Voronoi edge is calculated, and the quantitative expression of the direction relations is constructed. Finally, the quantitative direction relations are transformed into qualitative ones. The psychological experiments show that the proposed approach can obtain direction relations both between two single objects and between two object groups, and the results are correct from the point of view of spatial cognition.

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