Planarization of CityGML Models Using a Linear Program

Steffen Goebbels (), Regina Pohle-Fröhlich () and Jochen Rethmann ()
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Steffen Goebbels: Niederrhein University of Applied Sciences
Regina Pohle-Fröhlich: Niederrhein University of Applied Sciences
Jochen Rethmann: Niederrhein University of Applied Sciences

A chapter in Operations Research Proceedings 2016, 2018, pp 591-597 from Springer

Abstract: 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.

Date: 2018
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DOI: 10.1007/978-3-319-55702-1_78

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