Abstract
Grounding an ontology upon geographical data has been proposed as a method of handling the vagueness in the domain more effectively. In order to do this, we require methods of reasoning about the spatial relations between the regions within the data. This stage can be computationally expensive, as we require information on the location of points in relation to each other. This paper illustrates how using knowledge about regions allows us to reduce the computation required in an efficient and easy to understand manner. Further, we show how this system can be implemented in co-ordination with segmented data to reason about features within the data.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Fonseca, F., Egenhofer, M., Agouris, C., Cmara, C.: Using Ontologies for Integrated Geographic Information Systems. Transactions in Geographic Information Systems 6(3), 231–257 (2002)
Guarino, N., Welty, C.: Evaluating Ontological Decisions with Ontoclean. Communications Of The Acm 45(2), 61–65 (2002)
Varzi, A.C.: Vagueness in Geography. Philosophy & Geography 4(1), 49–65 (2001)
Smith, B., Mark, D.M.: Ontology and Geographic Kinds. In: Poiker, T., Chrisman, N. (eds.) Proceedings of the Tenth International Symposium on Spatial Data Handling, Burnaby, BC, pp. 308–320. Simon Fraser University (1998)
Jakulin, A., Mladenić, D.: Ontology Grounding. In: Proceedings of the 8th International multi-conference Information Society IS-2005, Ljubljana, Slovenia, pp. 170–173 (2005)
Mallenby, D.: Grounding a Geographic Ontology on Geographic Data. In: Amir, E., Lifschitz, V., Miller, R. (eds.) 8th International Symposium on Logical Formalizations of Commonsense Reasoning (Commonsense 2007), Stanford, USA, pp. 101–105 (2007)
Randell, D.A., Cui, Z., Cohn, A.G.: A Spatial Logic-Based on Regions and Connection. In: Principles Of Knowledge Representation And Reasoning: Proceedings Of The Third International Conference (Kr 92), pp. 165–176. Morgan Kaufmann Pub Inc., San Mateo (1992)
Harnad, S.: The Symbol Grounding Problem. Physica D 42(1-3), 335–346 (1990)
Taddeo, M., Floridi, L.: Solving the Symbol Grounding Problem: a Critical Review of Fifteen Years of Research. Journal Of Experimental & Theoretical Artificial Intelligence 17(4), 419–445 (2005)
Bennett, B., Isli, A., Cohn, A.G.: A System Handling RCC-8 Queries on 2D Regions Representable in the Closure Algebra Half -Planes. In: Moonis, A., Mira, J.M., de Pobil, A.P. (eds.) Methodology and Tools in Knowledge-Based Systems. LNCS, vol. 1415, pp. 281–290. Springer, Heidelberg (1998)
Giritli, M.: Who Can Connect in RCC? In: Günter, A., Kruse, R., Neumann, B. (eds.) KI 2003. LNCS (LNAI), vol. 2821, pp. 565–579. Springer, Heidelberg (2003)
Bennett, B.: The Application of Qualitative Spatial Reasoning to GIS. In: Abrahart, R. (ed.) Proceedings of the First International Conference on GeoComputation, vol. I, pp. 44–47 (1996)
Egenhofer, M.J.: Reasoning about Binary Topological Relations. In: Günther, O., Schek, H.-J. (eds.) SSD 1991. LNCS, vol. 525, pp. 144–160. Springer, Heidelberg (1991)
Egenhofer, M.J., Franzosa, R.D.: Point-Set Topological Spatial Relations. International Journal Of Geographical Information Systems 5(2), 161–174 (1991)
Bennett, B.: What is a Forest? on the Vagueness of Certain Geographic Concepts. Topoi-An International Review Of Philosophy 20(2), 189–201 (2001)
Simpson, J., Weiner, E. (eds.): Concise Oxford English Dictionary, 11th edn. Oxford University Press, Oxford (2004)
Varzi, A.C.: Vagueness, Logic, and Ontology. The Dialogue. Yearbooks for Philosophical Hermeneutics 1, 135–154 (2001)
Taylor, M.P., Stokes, R.: When is a River not a River? Consideration of the Legal Definition of a River for Geomorphologists Practising in New South Wales, Australia. Australian Geographer 36(2), 183–200 (2005)
Dubois, D., Esteva, F., Godo, L., Prade, H.: An information-Based Discussion of Vagueness. In: 10th IEEE International Conference On Fuzzy Systems, Vols 1-3 - Meeting The Grand Challenge: Machines That Serve People, pp. 781–784. IEEE PRESS, New York (2001)
Held, M.: Voroni: An Engineering Approach to the Reliable and Efficient Computation of Voronoi Diagrams of Points and Line Segments. Computational Geometry-Theory And Applications 18(2), 95–123 (2001)
Blum, H.: Biological Shape and Visual Science. Journal Of Theoretical Biology 38(2), 205–287 (1973)
Ge, Y.R., Fitzpatrick, J.M.: Extraction of Maximal Inscribed Disks from Discrete Euclidean Distance Maps. In: 1996 Ieee Computer Society Conference On Computer Vision And Pattern Recognition, Proceedings. Proceedings / Cvpr, Ieee Computer Society Conference On Computer Vision And Pattern Recognition, pp. 556–561. IEEE PRESS, New York (1996)
Bai, X., Latecki, L.J., Liu, W.Y.: Skeleton Pruning by Contour Partitioning. In: Kuba, A., Nyúl, L.G., Palágyi, K. (eds.) DGCI 2006. LNCS, vol. 4245, pp. 567–579. Springer, Heidelberg (2006)
Bai, X., Latecki, L.J., Liu, W.Y.: Skeleton Pruning by Contour Partitioning with Discrete Curve Evolution. IEEE Transactions On Pattern Analysis And Machine Intelligence 29(3), 449–462 (2007)
Baumgart, B.G.: Winged Edge Polyhedron Representation. Technical report, Stanford University, 891970 (1972)
Mantyla, M.: Introduction to Solid Modeling, vol. 60949. W. H. Freeman & Co, New York (1988)
Allen, J.F.: Maintaining Knowledge about Temporal Intervals. Communications Of The Acm 26(11), 832–843 (1983)
Haarslev, V., Lutz, C., Möller, R.: Foundations of Spatioterminological Teasoning with Description Logics. Principles of Knowledge Representation and Reasoning, 112–123 (1998)
Bentley, J.L., Ottmann, T.A.: Algorithms for Reporting and Counting Geometric Intersections. Ieee Transactions On Computers 28(9), 643–647 (1979)
Laera, L., Tamma, V., Bench-Capon, T., Semeraro, G.: Sweetprolog: A system to Integrate Ontologies and Rules. In: Antoniou, G., Boley, H. (eds.) RuleML 2004. LNCS, vol. 3323, pp. 188–193. Springer, Heidelberg (2004)
Wielemaker, J.: An optimised Semantic Web Query Language Implementation in Prolog. In: Gabbrielli, M., Gupta, G. (eds.) ICLP 2005. LNCS, vol. 3668, pp. 128–142. Springer, Heidelberg (2005)
Grütter, R., Bauer-Messmer, B.: Towards Spatial Reasoning in the Semantic Web: A Hybrid Knowledge Representation System Architecture. In: Fabrikant, S., Wachowicz, M. (eds.) The European Information Society: Leading the Way With Geo-information. Lecture Notes in Geoinformation and Cartography, vol. XVII, p. 486 (2007)
Abdelmoty, A., Williams, M., Paton, N.: Deduction and Deductive Database for Geographic Data Handling. In: Symposium on Large Spatial Databases, pp. 443–464 (1993)
Jaffar, J., Maher, M.J.: Constraint Logic Programming: A Survey. Journal of Logic Programming 19/20, 503–581 (1994)
Almendros-Jimenez, J.: Constraint Logic Programming Over Sets of Spatial Objects. In: Proceedings of the 2005 ACM SIGPLAN workshop on Curry and functional logic programming, Tallinn, Estonia, pp. 32–42. ACM Press, New York (2005)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Mallenby, D., Bennett, B. (2007). Applying Spatial Reasoning to Topographical Data with a Grounded Geographical Ontology. In: Fonseca, F., RodrÃguez, M.A., Levashkin, S. (eds) GeoSpatial Semantics. GeoS 2007. Lecture Notes in Computer Science, vol 4853. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76876-0_14
Download citation
DOI: https://doi.org/10.1007/978-3-540-76876-0_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-76875-3
Online ISBN: 978-3-540-76876-0
eBook Packages: Computer ScienceComputer Science (R0)