Abstract
A technique to create a Delaunay triangulation for terrain visualization on a virtual globe is presented. This method can be used to process large scale elevation datasets with billions of points by using little RAM during data processing. All data is being transformed to a global spatial reference system. If grid based elevation data is used as input, a reduced TIN can be calculated. Furthermore, a level of detail approach for large scale out-of-core spherical terrain rendering for virtual globes is presented using the previously created TIN.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Devillers, O., Devillers, Pion, S., Pion, S., Prisme, P.: Efficient exact geometric predicates for Delaunay triangulations. In: Proceedings of the 5th Workshop Algorithm Engineering and Experiments. pp. 37–44. Baltimore (2003)
Dick, C., Schneider, J., Westermann, R.: Efficient geometry compression for GPU- based decoding in realtime terrain rendering. Comp. Graph. Forum 28(1), 67–83 (2009)
Fowler, R.E., Samberg, A., Flood, M., Greaves, T.J.: Modeling mobile terrestrial LiDAR to vector based models. In: Maune, D. F. (ed.) Digital Elevation Model Technologies and Applications: The DEM Users Manual, chap. Topographic and Terrestrial Lidar. pp. 199–252. American Society of Photogrammetry and Remote Sensing, Bethesda (1997)
Gerstner, T.: Multiresolution visualization and compression of global topographic data. Tech. rep., GeoInformatica (1999)
Google: Earth, http://earth.google.com
Google: Google Earth API Developer’s Guide, http://code.google.com/apis/earth/documentation/
Guibas, L.J., Stolfi, J.: Primitives for the manipulation of general subdivisions and the computation of voronoi diagrams. In: STOC’ 83: Proceedings of the Fifteenth Annual ACM Symposium on Theory of Computing. pp. 221–234. ACM, New York (1983)
Guibas, L.J., Stolfi, J.: Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams. ACM Trans. Graph. 4, 74–123 (1985)
Heller, M.: Triangulation algorithms for adaptive terrain modeling. In: Proceedings of the 4th International Symposium on Spatial Data Handling. pp. 163–174. Zurich, Switzerland (1990)
Hjelle, O., Daehlen, M.: Triangulations and Applications (Mathematics and Visualization). Springer-Verlag New York, Secaucus, NJ (2006)
Hoppe, H.: Smooth view-dependent level-of-detail control and its application to terrain rendering. In: VIS ’98: Proceedings of the Conference on Visualization ’98. pp. 35–42. IEEE Computer Society Press, Los Alamitos (1998)
Isenburg, M., Liu, Y., Shewchuk, J., Snoeyink, J.: Streaming computation of Delaunay triangulations. ACM Trans. Graph. 25(3), 1049–1056 (2006)
Isenburg, M., Shewchuk, J.: Visualizing LIDAR in Google Earth. In: Proceedings of the 17th International Conference on Geoinformatics. Fairfax (2009)
Lee, J.: A drop heuristic conversion method for extracting irregular networks for digital elevation models. In: Proceedings of the GIS/LIS ’89. pp. 30–39. Orlando (1989)
Lindstrom, P., Cohen, J.D.: On-the-fly decompression and rendering of multiresolution terrain. In: I3D ’10: Proceedings of the 2010 ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games. pp. 65–73. ACM, New York (2010)
Livny, Y., Kogan, Z., El-Sana, J.: Seamless patches for GPU-based terrain rendering. Vis. Comput. 25(3), 197–208 (2009)
Microsoft: Bing Maps 3d, http://www.bing.com/maps
Microsoft: Bing Maps Tile System, http://msdn.microsoft.com/en-us/library/bb259689.aspx
Morton, G.: A computer oriented geodetic data base and a new technique in file sequencing. Tech. Rep. IBM Ltd., Ottawa, Ontario, Canada (1966)
Mostafavi, M.A., Gold, C., Dakowicz, M.: Delete and insert operations in Voronoi/Delaunay methods and applications. Comput. Geosci. 29(4), 523–530 (2003)
Nebiker, S., Christen, M., Eugster, H., Flückiger, K., Stierli, C.: Integrating mobile geo sensors into collaborative virtual globes – design and implementation issues. Paper presented at the Mobile Mapping Technologies Symposium MMT 2007, Padua (2007)
Nebiker, S., Bleisch, S., Christen, M.: Rich point clouds in virtual globes a new paradigm in city modeling? Computers, Environment and Urban Systems (June 2010), http://dx.doi.org/10.1016/j.compenvurbsys.2010.05.002
Open Geospatial Consortium, Inc: OpenGIS® city geography markup language (CityGML) – encoding standard (ogc 08-007r1). (p. 218): Open Geospatial Consortium Inc. (2010)
Pajarola, R., Gobbetti, E.: Survey of semi-regular multiresolution models for interactive terrain rendering. Vis. Comput. 23(8), 583–605 (2007)
Pajarola, R., Antonijuan, M., Lario, R.: Quadtin: quadtree based triangulated irregular networks. In: VIS ’02: Proceedings of the Conference on Visualization ’02. pp. 395–402. IEEE Computer Society, Washington, DC (2002)
Shan, J., Toth, C.: Topographic laser ranging and scanning. CRC Press, Boca Raton (2009)
Shewchuk, J.R.: Adaptive precision floating-point arithmetic and fast robust geometric predicates. Discrete Comput. Geometry 18, 305–363 (1996)
Snyder, J.P.: Map Projections: A Working Manual. U.S. Geological Survey Professional Paper 1395, U.S. Geological Survey, http://pubs.er.usgs.gov/usgspubs/pp/pp1395 (1987)
Szalay, A.S., Gray, J., Fekete, G., Kunszt, P.Z., Kukol, P., Thakar, A.: Indexing the sphere with the hierarchical triangular mesh. CoRR abs/cs/0701164 (2007)
Weiler, K.: Edge-based data structures for solid modeling in curved-surface environments. IEEE Comput. Graph. Appl. 5(1), 21–40 (1985)
Zhou, Q., Lees, B., Tang, G.A.: Lecture Notes in Geoinformation and Cartography, chap. A Seamless and Adaptive LOD Model of the Global Terrain Based on the QTM. pp. 85–103. Springer Berlin Heidelberg, New York (2008)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Christen, M., Nebiker, S. (2011). Large Scale Constraint Delaunay Triangulation for Virtual Globe Rendering. In: Kolbe, T., König, G., Nagel, C. (eds) Advances in 3D Geo-Information Sciences. Lecture Notes in Geoinformation and Cartography(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12670-3_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-12670-3_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12669-7
Online ISBN: 978-3-642-12670-3
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)