Abstract
Spatial relationships are important ingredients for expressing constraints in retrieval systems for spatial databases. In this paper we propose a unified representation of spatial relationships, 2D Projection Interval Relationships (2D-PIR), that integrates both directional and topological relationships. We propose a graph representation for pictures that is based on 2D-PIR. This graph representation can be constructed efficiently and leads to an efficient algorithm for “picture matching”.
On leave of absence from the Department of Agroindustrial Technology, Bogor Agricultural University; currently at School of Computer Science and Engineering-UNSW
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J. F. Allen. Maintaining knowledge about temporal intervals. Communications of the ACM, 26(11):832–843, November 1983.
S. K. Chang, Q. Y. Shi, and C. W. Yan. Iconic indexing by 2D strings. IEEE Transactions on Pattern Recognition and Machine Intelligent, PAMI-9(3):413–428, 1987.
T.-S. Chua, S.-K. Lim, and H.-K. Pung. Content-based retrieval of segmented images. In Proceedings Second Annual ACM Multimedia Conference, 1994.
E. Clementini, P. Felice, and P. van Oostrom. A small set of formal topological relationships suitable for end-user interaction. In Advances in Spatial Databases, volume 692 of Lecture Notes in Computer Science, pages 277–295. Springer-Verlag, 1993.
M. J. Egenhofer. Point-set topological spatial relations. Int. J. Geographical Information Systems, 5(2):161–174, 1991.
M. J. Egenhofer and K. K. Al-Taha. Reasoning about gradual changes of topological relationships. In A. Frank, I. Campari, and U. Formentini, editors, Theories and Methods of Spatio-Temporal Reasoning in Geographic Space, number 639 in Lecture Notes in Computer Science, pages 196–219. Springer-Verlag, 1992.
C. Freksa. Temporal reasoning based on semi-intervals. Artificial Intelligence, 54(1–2):199–227, 1992.
R. Gould. Graph Theory. The Benjamin/Cummings Publishing Company, Inc, California, 1988.
E. Jungert. Qualitative spatial reasoning from the observer's point of view-toward a generalization of symbolic projection. Pattern Recognition, 27(6):801–813, 1994.
E. Jungert. Rotation invariance in symbolic slope projection as a means to support spatial reasoning. In Workshop on Spatial and Temporal Interaction: Representation and Reasoning, pages 166–170. 1994.
E. Jungert and S. K. Chang. An image algebra for pictorial data manipulation. CVGIP: Image Understanding, 58(2):147–160, September 1993.
H. Lu, B.-C. Ooi, and K.-L. Tan. Efficient image retrieval by color content. Department of Information Systems and Computer Science, National University of Singapore, 1994.
R. Mehrota and J. E. Gary. Feature-based retrieval of similar shapes. In 9th International Conference on Data Engineering, pages 108–115, April 19–23 1993.
W. Niblack, R. Barber, W. Equitz, M. Flicker, E. Glasman, D. Petkovic, P. Yanker, C. Falautsos, and G. Taubin. The QBIC project: Querying images by content using color, texture, and shape. Research Report, Report Rj 9203(81511), IBM Almanden Research Center, San Jose, CA., 1993.
D. J. Peuquet and Z. Ci-Xiang. An algorithm to determine the directional relationship between arbitrary-shaped polygons in the plane. Pattern Recognition, 20(1):65–74, 1987.
T. Takahashi, N. Shima, and F. Kishino. An image retrieval method using inqueries on spatial relationships. Journal of Information Processing, 15(3):441–449, 1992.
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© 1995 Springer-Verlag Berlin Heidelberg
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Nabil, M., Shepherd, J., Ngu, A.H.H. (1995). 2D projection interval relationships: A symbolic representation of spatial relationships. In: Egenhofer, M.J., Herring, J.R. (eds) Advances in Spatial Databases. SSD 1995. Lecture Notes in Computer Science, vol 951. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60159-7_18
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DOI: https://doi.org/10.1007/3-540-60159-7_18
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