Abstract
Modeling 3D geo-information has often been based on either simple extensions of 2D geo-information modeling principles without considering the additional 3D aspects related to correctness of representations or on 3D CAD based solutions applied to geo-information. Our approach is based from the scratch on modeling 3D geo-information based on the mathematically well-defined Poincaré-TEN data structure. The feasibility of this approach still has to be verified in practice. In this paper, the first experiences of loading a reasonable sized data set, comprised of about 1,800 buildings represented by nearly 170,000 tetrahedrons (including the ‘air’ and ‘earth’), are discussed. Though the Poincaré-TEN data structure is feasible, the experience gained during the implementation raises new research topics: physical storage in one (tetrahedron only) or two tables (tetrahedron and node), effective clustering and indexing improvements, more compact representations without losing too much performance, etc.
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References
Penninga, F., van Oosterom, P.: A Compact Topological DBMS Data Structure For 3D Topography. In Fabrikant, S., Wachowicz, M., eds.: Geographic Information Science and Systems in Europe, Agile Conference 2007. Lecture Notes in Geoinformation and Cartography, Springer (2007)
Penninga, F., van Oosterom, P.: Updating Features in a TEN-based DBMS approach for 3D Topographic Data modeling. In Raubal, M., Miller, H.J., Frank, A.U., Goodchild, M.F., eds.: Geographic Information Science, Fourth International Conference, GIScience 2006, Münster, Germany, September 2006, Extended Abstracts. Volume 28 of IfGI prints. (2006) 147–152
Penninga, F., van Oosterom, P., Kazar, B.M.: A TEN-based DBMS approach for 3D Topographic Data modeling. In Riedl, A., Kainz, W., Elmes, G., eds.: Progress in Spatial Data Handling, 12th International Symposium on spatial Data Handling, Springer (2006) 581–598
Zlatanova, S., Abdul Rahman, A., Pilouk, M.: 3D GIS: Current Status and Perspectives. In: Proceedings of Joint Conference on Geo-Spatial Theory, Processing and Applications, Ottawa, Canada. (2002)
Carlson, E.: Three-dimensional conceptual modeling of subsurface structures. In: Auto-Carto 8. (1987) 336–345
Frank, A.U., Kuhn, W.: Cell Graphs: A provable Correct Method for the Storage of Geometry. In: Proceedings of the 2nd International Symposium on Spatial Data Handling, Seattle, Washington. (1986)
Pigot, S.: A Topological Model for a 3D Spatial Information System. In: Proceedings of the 5th International Symposium on Spatial Data Handling. (1992) 344–360
Pigot, S.: A topological model for a 3-dimensional Spatial Information System. PhD thesis, University of Tasmania, Australia (1995)
Pilouk, M.: Integrated modeling for 3D GIS. PhD thesis, ITC Enschede, Netherlands (1996)
Egenhofer, M., Frank, A., Jackson, J.: A Topological Data Model for Spatial Databases. In: Proceedings of First Symposium SSD’89. (1989) 271–286
Egenhofer, M., Frank, A.: PANDA: An Extensible Dbms Supporting Object-Oriented Software Techniques. In: Datenbanksysteme in Büro, Technik und Wissenschaft. Proceedings of GI/SI Fachtagung, Zürich, 1989. Informatik Fachberichten, Springer-Verlag (1989) 74–79
Zlatanova, S.: 3D GIS for urban development. PhD thesis, Graz University of Technology (2000)
Stoter, J.: 3D Cadastre. PhD thesis, Delft University of Technology (2004)
Penninga, F.: 3D Topographic Data modeling: Why Rigidity Is Preferable to Pragmatism. In Cohn, A.G., Mark, D.M., eds.: Spatial Information Theory, Cosit’05. Volume 3693 of Lecture Notes on Computer Science., Springer (2005) 409–425
ISO/TC211: Geographic information-reference model. Technical Report ISO 19101, International Organization for Standardization (2005)
Hatcher, A.: Algebraic Topology. Cambridge University Press (2002) Available at http://www.math.cornell.edu/hatcher.
Poincaré, H.: Complément á l’Analysis Situs. Rendiconti del Circolo Matematico di Palermo 13 (1899) 285–343
http://tetgen.berlios.de/: (2007)
Miller, G.L., Talmor, D., Teng, S.H., Walkington, N., Wang, H.: Control Volume Meshes using Sphere Packing: Generation, Refinement and Coarsening. In: 5th International Meshing Roundtable, Sandia National Laboratories (1996) 47–62
http://mathworld.wolfram.com/PlanarStraightLineGraph.html: (2007)
Si, H.: TetGen, A Quality Tetrahedral Mesh Generator and Three-Dimensional Delaunay Triangulator. User’s Manual. Technical report, Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany (2006) Available at http://tetgen.berlios.de/files/tetgenmanual.pdf.
Colins, K.D.: Cayley-Menger Determinant. From Mathworld — A Wolfram Web Resource. http://mathworld.wolfram.com/Cayley-MengerDeterminant.html (2003)
van Oosterom, P., Vijlbrief, T.: The Spatial Location Code. In Kraak, M.J., Molenaar, M., eds.: Advances in GIS research II; proceedings of the seventh International Symposium on Spatial Data Handling-SDH’96, Taylor and Francis (1996)
Oude Elberink, S., Vosselman, G.: Adding the Third Dimension to a Topographic Database Using Airborne Laser Scanner Data. In: Photogrammetric Computer Vision 2006. IAPRS, Bonn, Germany. (2006)
Penninga, F., van Oosterom, P.: Editing Features in a TEN-based DBMS approach for 3D Topographic Data modeling. Technical Report GISt Report No. 43, Delft University of Technology (2006) Available at http://www.gdmc.nl/publications/reports/GISt43.pdf.
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Penninga, F., van Oosterom, P. (2008). First implementation results and open issues on the Poincaré-TEN data structure. In: van Oosterom, P., Zlatanova, S., Penninga, F., Fendel, E.M. (eds) Advances in 3D Geoinformation Systems. Lecture Notes in Geoinformation and Cartography. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72135-2_11
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DOI: https://doi.org/10.1007/978-3-540-72135-2_11
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