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Advances in Fuzzy Systems
Volume 2012 (2012), Article ID 167939, 15 pages
Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation
Mathematics, Image, and Applications (MIA) Laboratory, University of La Rochelle, 17000 La Rochelle, France
Received 8 August 2011; Revised 19 December 2011; Accepted 6 January 2012
Academic Editor: Erich Klement
Copyright © 2012 Nadeem Salamat and El-hadi Zahzah. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- N. H. Ps and Max J. Egenhofer, “A model for detailed binary topological relationships,” Geomatica, vol. 47, no. 3-4, pp. 261–273, 1993.
- David A. Randell, Cui Zhan, and Anthony G. Cohn, “A spatial logic based on regions and connection,” in Proceedings of the 3rd International Conference on Knowledge Representation and Reasoning (KR '92), pp. 165–176, Morgan Kauffmann, San Francisco, Calif, USA, 1992.
- S. Du, Q. Qin, Q. Wang, and B. Li, “Fuzzy description of topological relations I: a unified fuzzy 9-intersection model,” in Proceedings of the 1st International Conference on Natural Computation (ICNC '05), vol. 3612, part 3, pp. 1261–1273, Changsha, China, August 2005.
- J. Chen, C. Li, Z. Li, and C. Gold, “A voronoi-based 9-intersection model for spatial relations,” International Journal of Geographical Information Science, vol. 15, no. 3, pp. 201–220, 2001.
- F. Benjamin Zhan, “Approximate analysis of binary topological relations between geographic regions with indeterminate boundaries,” Soft Computing, vol. 2, no. 2, pp. 28–34, 1998.
- W. Shi and K. Liu, “A fuzzy topology for computing the interior, boundary, and exterior of spatial objects quantitatively in GIS,” Computers and Geosciences, vol. 33, no. 7, pp. 898–915, 2007.
- Eliseo Clementini and Paolino Di Felice, “An algebraic model for spatial objects with indeterminate boundaries,” in Geographic Objects with Indeterminate Boundaries, P. Burrough and A. Frank, Eds., pp. 155–169, Taylor & Francis, London, UK, 1996.
- Xinming Tang, Modeling fuzzy spatial objects in fuzzy topological spaces with application to land cover changes, Ph.D. thesis, ITC publications,, The Netherlands, 2004.
- Bowman L. Clarke, “A calculus of individuals based on “connection”,” Notre Dame Journal of Formal Logic, vol. 22, no. 3, pp. 204–218, 1981.
- K. Liu and W. Shi, “Quantitative fuzzy topological relations of spatial objects by induced fuzzy topology,” International Journal of Applied Earth Observation and Geoinformation, vol. 11, no. 1, pp. 38–45, 2009.
- G. K. Palshikar, “Fuzzy region connection calculus in finite discrete space domains,” Applied Soft Computing Journal, vol. 4, no. 1, pp. 13–23, 2004.
- S. Schockaert, M. De Cock, C. Cornelis, and E. E. Kerre, “Fuzzy region connection calculus: representing vague topological information,” International Journal of Approximate Reasoning, vol. 48, no. 1, pp. 314–331, 2008.
- S. Schockaert, M. De Cock, C. Cornelis, and E. E. Kerre, “Fuzzy region connection calculus: an interpretation based on closeness,” International Journal of Approximate Reasoning, vol. 48, no. 1, pp. 332–347, 2008.
- K. Roop and Max J. Egenhofer, “Similarity of cardinal directions,” in Proceedings of the 7th International Symposium on Advances in Spatial and Temporal Databases (SSTD '01), vol. 2121 of Lecture Notes in Computer Science, no. 1, pp. 36–58, Springer, London, UK, 2001.
- A. U. Frank, “Qualitative spatial reasoning about distances and directions in geographic space,” Journal of Visual Languages & Computing, vol. 3, no. 4, pp. 343–371, 1992.
- Y. Liu, X. Wang, X. Jin, and L. Wu, “On internal cardinal direction relations,” in Proceedings of the International Conference on Spatial Information Theory (COSIT '05), vol. 3693 of Lecture Notes in Computer Science, pp. 283–299, Ellicottville, NY, USA, September 2005.
- J. Malki, L. Mascarilla, E.-H. Zahzah, and P. Boursier, “Directional relations composition by orientation histogram fusion,” in Proceedings of the International Conference on Pattern Recognition (ICPR '00), vol. 15, no. 3, pp. 758–761, 2000.
- Pascal Matsakis and Dennis Nikitenko, “Combined extraction of directional and topological relationship information from 2D concave objects,” in Fuzzy Modeling with Spatial Information for Geographic Problems, pp. 15–40, Springer, New York, NY, USA, 2005.
- Nadeem Salamat and Elhadi Zahzah, “Fuzzy spatial relations for 2D scene,” in Proceedings of the 2010 International Conference on Image Processing, Computer Vision, and Pattern Recognition (IPCV '10), pp. 47–53, Las Vegas, Nev, USA, July 2010.
- N. Salamat and E.-H. Zahzah, “On the improvement of combined fuzzy topological and directional relations information,” Pattern Recognition, vol. 45, no. 4, pp. 1559–1568, 2012.
- S. Du, Q. Wang, Q. Qin, and Y. Yang, “Fuzzy description of topological relations II: computation methods and examples,” in Proceedings of the 1st International Conference on Natural Computation (ICNC '05), pp. 1274–1279, Changsha, China, August 2005.
- M. A. Cobb and F. E. Petry, “Modeling spatial relationships within a fuzzy framework,” Journal of the American Society for Information Science, vol. 49, no. 3, pp. 253–266, 1998.
- K. Miyajima and A. Ralescu, “Spatial organization in 2D segmented images: representation and recognition of primitive spatial relations,” Fuzzy Sets and Systems, vol. 65, no. 2-3, pp. 225–236, 1994.
- I. Bloch and A. Ralescu, “Directional relative position between objects in image processing: a comparison between fuzzy approaches,” Pattern Recognition, vol. 36, no. 7, pp. 1563–1582, 2003.
- P. Matsakis and L. Wendling, “A new way to represent the relative position between areal objects,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 21, no. 7, pp. 634–643, 1999.
- J. Allen, “Maintaining knowledge about temporal intervals,” Communications of the ACM, vol. 26, no. 11, pp. 832–843, 1983.
- P. Matsakis, L. Wawrzyniak, and J. Ni, “Relative positions in words: a system that builds descriptions around Allen relations,” International Journal of Geographical Information Science, vol. 24, no. 1, pp. 1–23, 2010.
- L. Wawrzyniak, P. Matsakis, and D. Nikitenko, “Speaking with spatial relations,” International Journal of Intelligent Systems Technologies and Applications, vol. 1, no. 3-4, pp. 280–300, 2006.
- C. Freksa, “Temporal reasoning based on semi-intervals,” Artificial Intelligence, vol. 54, no. 1-2, pp. 199–227, 1992.