Exploiting 2D concepts to achieve consistency in 3D GIS applications

GIS: Proceedings of the ACM International Symposium on Advances in Geographic Information Systems

Volumn , Issue , 2003, Pages 78-85

  Gröger, Gerhard ^a   Plümer, Lutz ^a  

^a UNIVERSITY OF BONN   (Germany)

Author keywords

3D; Axioms; Completeness; Consistency; Correctness; GIS; Maps

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; COMPUTER AIDED DESIGN; DATABASE SYSTEMS; MANAGEMENT INFORMATION SYSTEMS; MAPS; TOPOLOGY;

3D; AXIOMS; COMPLETENESS; CONSISTENCY; CORRECTNESS;

GEOGRAPHIC INFORMATION SYSTEMS;

EID: 19544362213     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/956676.956687     Document Type: Conference Paper

References (24)

1. Aleksandroff, P. S. Elementary Concepts of Topology, Dover Publications, 1961.
2. Booch, G, Rumbaugh, J., and Jacobson, I. The Unified Modeling Language Guide. Addison-Wesley, 1999.
3. Breunig, M. Integration of Spatial Information for GeoInformation Systems, Lecture Notes in Earth Sciences, Vol. 61, Springer, 1996.
4. Chen, X. and Ikeda, K. Three-dimensional modelling of GIS based on Delaunay Tetrahedral Tessellations, International Archives of Photogrammetry and Remote Sensing, Vol. XXX, Part 3/1, pp 132-139, München, 1994-2.
5. Fischer, A., Kolbe, T.H., Lang, F., Cremers, A.B., Förstner, W., Plümer, L., and Steinhage, V. Extracting Buildings from Aerial Images using Hierarchical Aggregation in 2D and 3D. Computer Vision & Image Understanding, 72(2), 1998.
6. Förstner, W. GIS - The Third Dimension, Proceedings, IUSM WG on GIS/LIS, Proc. of the Workshop 'Current State and Challenges of Geoinformation-Systems', Hannover, 1995.
7. Foley, J., van Dam, A., Feiner, S. and Hughes, J. Computer Graphics: Principles and Practice. Addison Wesley Longman, 2nd Edition, 1995.
8. Gröger, G. Modellierung raumbezogener Objekte und Datenintegrität in GIS. Wichmann, Heidelberg, 2000 (in German).
9. Gröger G. and Plümer, L. Provably Correct and Complete Transaction Rules for GIS, In: Laurini, R., Bergougnoux, P. and Pissinou, N. (Eds.): Proc of the 5th International ACM Workshop on Advances in Geographic Information Systems (ACM-GIS'97), Las Vegas, Nevada, USA, 1997.
10. Halmer, A., Heitzinger, D., and Kager, H. 3D-Surface Modelling with Basic Topologic Elements, International Archives of Photogrammetry and Remote Sensing, Vol. XXXI, Part B4, Vienna, 1996.
11. Harary, F. Graph Theory, Addison Wesley, 1972.
12. Herring, J. The OpenGIS Abstract Specification, Topic 1: Feature Geometry (ISO 19107 Spatial Schema), Version 5. OGC Document Number 01-101, 2001
13. Koehl, M. The Modelling of Urban Landscapes, International Archives of Photogrammetry and Remote Sensing, Vol. XXXI, Part B4, Vienna, 1996.
14. Koninger, A. and Bartel, S. 3D-GIS for Urban Purposes. GeoInformatica 2:1, S. 79-103, 1998.
15. Kolbe, T. H. and Gröger, G. Towards unified 3D city models. To appear in: Proceedings of the ISPRS Comm. IV Joint Workshop on Challenges in Geospatial Analysis, Integration and Visualization II, Stuttgart, September 8. - 9., 2003.
16. Mäntylä, M. An Introduction to Solid Modeling. Computer Science Press: Rockville, Maryland, 1989.
17. Molenaar, M. A topology for 3D vector maps. ITC Journal 1992-1. The International Institute for Aerospace Survey and Earth Sciences, The Netherlands.
18. Okabe, A., Boots, B. and Sugihara, K. Spatial tessellations. Wiley series in probability and mathematical statistics. Wiley, 1992.
19. Plümer, L. Achieving Integrity of Geometry and Topology in Geographical Information Systems, Proceedings of the "Samos"International Conference on Geographic Information Systems in Urban, Environmental and Regional Planning, Island of Samos, Greece, April 19-21, pp. 45-60, 1996.
20. Plumer, L. and Gröger, G. Nested Maps - a Formal, Provably Correct Object Model for Spatial Aggregates, In: Shekhar, S., Bergougnoux, P., (Eds.): Proceedings of the 4th International ACM Workshop on Advances in Geographic Information Systems, (ACM-GIS'96), Rockville, Maryland, USA, November 15-16, 1996.
21. Plümer, L. and Gröger, G. Achieving Integrity in Geographic Information Systems - Maps and Nested Maps, GeoInformatica,Vol. 1, No. 4, 1997.
22. Rikkers, R., Molenaar, M., and Stuiver, J. A query oriented implementation of a topologic data structure for 3-dimensional vector maps. Int. Journal of Geographical Information Systems, Vol. 8 No. 3, pp. 243-260, 1994.
23. Shibasaki, R. and Shaobo, H. A. Digital Urban Space Model- A Three Dimensional Modeling technique of Urban Space in a GIS Environment, ISPRS XVIIth Congress, Washington D.C., USA, Vol. XXIX, Part B4, pp 257-264, 1992.
24. Worboys, M. F. GIS - A Computing Perspective, Taylor & Francis, 1995.