Modeling Topological Properties of a Raster Region for Spatial Optimization

  • Takeshi Shirabe
Conference paper


Two topological properties of raster region — connectedness and perforation — are examined in the context of spatial optimization. While topological properties of existing regions in raster space are well understood, creating a region of desired topological properties in raster space is still considered as a complex combinatorial problem. This paper attempts to formulate constraints that guarantee to select a connected raster region with specified number of holes in terms amenable to mixed integer programming models. The major contribution of this paper is to introduce a new intersection of two areas of spatial modeling — discrete topology and spatial optimization — that are generally separate.


Geographic Information System Mixed Integer Programming Connected Region Mixed Integer Programming Model Connectedness Constraint 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Takeshi Shirabe
    • 1
  1. 1.Institute for GeoinformationTechnical University of ViennaViennaAustria

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