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Published in:
2005 | OriginalPaper | Chapter
Modeling Topological Properties of a Raster Region for Spatial Optimization
Author : Takeshi Shirabe
Published in: Developments in Spatial Data Handling
Publisher: Springer Berlin Heidelberg
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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.