ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences
Publications Copernicus
Articles | Volume IV-4
ISPRS Ann. Photogramm. Remote Sens. Spatial Inf. Sci., IV-4, 59–66, 2018
ISPRS Ann. Photogramm. Remote Sens. Spatial Inf. Sci., IV-4, 59–66, 2018

  19 Sep 2018

19 Sep 2018


A. Giovanella, P. E. Bradley, and S. Wursthorn A. Giovanella et al.
  • Karlsruhe Institute of Technology (KIT), Institute of Photogrammetry and Remote Sensing (IPF), Karlsruhe, Germany

Keywords: Topology, Topological Consistency, CityGML, 3D Model, Spatial Database, Polygon, Geometry

Abstract. The topological consistency of Boundary-Representation models, meaning here that the incidence graph is homeomorphic with the underlying topology of geographical data, is checked for several CityGML datasets, and a first classification of topological inconsistencies is performed. The analysis is carried out on a spatial database system into which the datasets have been imported. It is found that real-world datasets contain many topologically inconsistent pairs of intersecting polygons. Also data satisfying the ISO/OGC standards can still be topologically inconsistent. In the case when the intersection is a point, topological inconsistency occurs because a vertex lies on a line segment. However, the most frequent topological inconsistencies seem to arise when the intersection of two polygons is a line segment. Consequently, topological queries in present CityGML data cannot rely on the incidence graph only, but must always make costly geometric computations if correct results are to be expected.