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Planarization of CityGML Models Using a Linear Program

In: Operations Research Proceedings 2016

Author

Listed:
  • Steffen Goebbels

    (Niederrhein University of Applied Sciences)

  • Regina Pohle-Fröhlich

    (Niederrhein University of Applied Sciences)

  • Jochen Rethmann

    (Niederrhein University of Applied Sciences)

Abstract

CityGML is an XML based description standard for 3D city models that requires model buildings to have planar roof facets. Unfortunately, current tools that generate building models from airborne laser scanning point clouds violate this requirement to some extent. We propose a definition of approximate planarity and present a post-processing tool that establishes approximate planarity using linear optimization. It preserves the characteristic shape of roofs. In most cases, triangulation of non-planar facets is no longer needed to heal models. This not only reduces the number of facets and increases performance of applications that process city models, but also avoids disturbing edges in 3D prints.

Suggested Citation

  • Steffen Goebbels & Regina Pohle-Fröhlich & Jochen Rethmann, 2018. "Planarization of CityGML Models Using a Linear Program," Operations Research Proceedings, in: Andreas Fink & Armin Fügenschuh & Martin Josef Geiger (ed.), Operations Research Proceedings 2016, pages 591-597, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-55702-1_78
    DOI: 10.1007/978-3-319-55702-1_78
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