Abstract
In this paper, we present a novel unifying concept of pairwise spatial relations. We develop two way directional relations with respect to a unique point set, based on topology of the studied objects and thus avoids problems related to erroneous choices of reference objects while preserving symmetry. The method is robust to any type of image configuration since the directional relations are topologically guided. An automatic prototype graphical symbol retrieval is presented in order to establish its expressiveness.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Worboys, M.: GIS - A computing perspective. Taylor and Francis, Abington (1995)
Goodchild, M., Gopal, S.: The Accuracy of Spatial Databases. Taylor and Francis, Basingstoke (1990)
Vandenbrande, J.H., Requicha, A.A.G.: Spatial Reasoning for the Automatic Recognition of Machinable Features in Solid Models. IEEE PAMI 15(12), 1269–1285 (1993)
Centeno, J.S.: Segmentation of Thematic Maps Using Colour and Spatial Attributes. In: Chhabra, A.K., Tombre, K. (eds.) GREC 1997. LNCS, vol. 1389, pp. 221–230. Springer, Heidelberg (1998)
Lee, S.H., Hsu, F.J.: Spatial Reasoning and Similarity Retrieval of Images Using 2D C-string Knowledge Representation. PR 25(3), 305–318 (1992)
Heidemann, G.: Combining spatial and colour information for content based image retrieval. CVIU 94, 234–270 (2004)
Medasani, S., Krishnapuram, R.: A fuzzy approach to content-based image retrieval. In: Proc. of FUZZ-IEEE, Seoul, Korea, pp. 1251–1260 (1997)
Freeman, J.: The modelling of spatial relations. CGIP 4, 156–171 (1975)
Rosenfeld, A., Kak, A.: Digital picture processing, vol. 2. Academic Press, London (1982)
Egenhofer, M., Franzosa, R.: Point-set Topological Spatial Relations. Intl. Journal of GIS 5(2), 161–174 (1991)
Egenhofer, M., Herring, J.R.: Categorizing Binary Topological Relations Between Regions, Lines, and Points in Geographic Databases. University of Maine, Research Report (1991)
Papadias, D., Sellis, T., Theodoridis, Y., Egenhofer, M.J.: Topological Relations in the world of Minimum Bounding Rectangles: a Study with R-trees. In: Intl. Conf. on Managament Data, pp. 92–103 (1995)
Renz, J., Nebel, B.: Spatial Reasoning with Topological Information. In: Freksa, C., Habel, C., Wender, K.F. (eds.) Spatial Cognition 1998. LNCS (LNAI), vol. 1404, pp. 351–372. Springer, Heidelberg (1998)
Bloch, I.: Fuzzy relative position between objects in image processing: a morphological approach. IEEE PAMI 21(7), 657–664 (1999)
Wang, X., Keller, J.: Human-Based Spatial Relationship Generalization Through Neural/Fuzzy Approaches. Fuzzy Sets and Systems 101, 5–20 (1999)
Matsakis, P., Wendling, L.: A New Way to Represent the Relative Position Between Areal Objects. IEEE PAMI 21(7), 634–643 (1999)
Mitra, D.: A Class of Star-Algebras for Point-Based Qualitative Reasoning in Two-Dimensional Space. In: 15th Intl. Florida AI Research Society Conf., pp. 486–491 (2002)
Peuquet, D., CI-Xiang, Z.: An algorithm to determine the directional relationship between arbitrarily-shaped polygons in the plane. PR 20(1), 65–74 (1987)
Retz-Schmidt, G.: Various Views on Spatial Prepositions. AI Magazine, 95–104 (1988)
Egenhofer, M.J.: A Formal Definition of Binary Topological Relationships. In: Litwin, W., Schek, H.-J. (eds.) FODO 1989. LNCS, vol. 367, pp. 457–472. Springer, Heidelberg (1989)
Chen, J., Li, C., Li, Z., Gold, C.: A Voronoi-based 9-intersection Model for Spatial Relations. Intl. Journal of GIS 15(3), 201–220 (2001)
Abdelmoty, A., El-Geresy, B.: A General Method for Spatial Reasoning in Spatial Databases. In: The Fourth International Conference on Information and Knowledge Management, pp. 312–317 (1995)
Clementini, E., Felice, P.D., van Oosterom, P.: A small set of formal topological relationships suitable for end-user interaction. In: Abel, D.J., Ooi, B.-C. (eds.) SSD 1993. LNCS, vol. 692, pp. 277–336. Springer, Heidelberg (1993)
Egenhofer, M., Sharma, J., Mark, D.: A Critical Comparison of the 4-Intersection and 9-Intersection Models for Spatial Relations: Formal Analysis. In: McMaster, R., Armstrong, M. (eds.), pp. 56–69 (1993)
Miyajima, K., Ralescu, A.: Spatial Organization in 2D Segmented Images: Representation and Recognition of Primitive Spatial Relations. Fuzzy Sets and Systems 2(65), 225–236 (1994)
Wang, Y., Makedon, F.: R-histogram: Quantitative representation of spatial relations for similarity-based image retrieval. In: The 11th Annual ACM International Conf. on Multimedia, pp. 323–326 (2003)
Dutta, S.: Approximate spatial reasoning: integrating qualitative and quantitative constraints. Intl. Journal of Approximate Reasoning 5, 307–331 (1991)
Jungert, E.: Qualitative spatial reasoning for determination of object relations using symbolic interval projections. In: IEEE Sympo. on Visual Lang., pp. 24–27 (1993)
Sun, H., Chen, X.: Research on Technologies of Spatial Configuration Information Retrieval. In: IEEE 8th ACIS Int. Conf. on Software Engineering, AI, Networking, and Parallel/Distributed Computing, pp. 396–401 (2007)
Xuehua, T., Lingkui, M., Kun, Q.: Study on the Uncertain Directional Relations Model based on Cloud Model. In: Intl. Archives of the Photogrammetry, Remote Sensing and Spatial Infor. Sc., pp. 345–350 (2008)
Santosh, K.C., Lamiroy, B., Ropers, J.P.: Utilisation de Programmation Logique Inductive pour la Reconnaissance de Symboles. In: 9èmes Journées Francophones Extraction et Gestion des Connaissances, pp. 35–42 (2009)
Santosh, K.C., Lamiroy, B., Ropers, J.P.: Inductive logic programming for symbol recognition. In: 10th ICDAR, Barcelona, Spain, pp. 1330–1334 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Santosh, K.C., Wendling, L., Lamiroy, B. (2010). Unified Pairwise Spatial Relations: An Application to Graphical Symbol Retrieval. In: Ogier, JM., Liu, W., Lladós, J. (eds) Graphics Recognition. Achievements, Challenges, and Evolution. GREC 2009. Lecture Notes in Computer Science, vol 6020. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13728-0_15
Download citation
DOI: https://doi.org/10.1007/978-3-642-13728-0_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13727-3
Online ISBN: 978-3-642-13728-0
eBook Packages: Computer ScienceComputer Science (R0)