Cited By
View all- Megalou EHadzilacos T(2003)Semantic Abstractions in the Multimedia DomainIEEE Transactions on Knowledge and Data Engineering10.1109/TKDE.2003.116158715:1(136-160)Online publication date: 1-Jan-2003
Binary string relations: a foundation for spatiotemporal knowledge representation
Abstract
The paper is concerned with the qualitative representation of spatiotemporal relations. We initially propose a multiresolution framework for the representation of relations among 1D intervals, based on a binary string encoding. We subsequently extend this framework to multiple dimensions, thus allowing the description of spatiotemporal relations at various contexts. The feasible relations at a particular resolution level are inherently permeated by a poset structure, called conceptual neighbourhood, upon which we propose efficient relation inferencing mechanisms. Finally, we discuss the application of our model to spatiotemporal reasoning, which refers to the classic problems of satisfiability and deductive closure of a set of spatiotemporal assertions.
References
[1]
Allen, J., "Maintaining Knowledge About Temporal Intervals", CACM, 26(11), 1983.
[2]
Allen, J., "Towards a General Theory of Action and Time", Artificial Intelligence, 23, 1984.
[3]
Allen, J., "Time and time again: The many ways to represent time," International Journal of Intelligent Systems, 6(4), 1991.
[4]
Ballard, D., Brown, C., "Computer Vision", Prentice Hall, 1984.
[5]
Bruns, T.H., Egenhofer, M.J., "Similarity of Spatial Scenes", 7~h International Symposium on Spatial Data Handling, 1996.
[6]
Chvatal, V., "Linear Programming", W. H. Freeman.
[7]
Chang, $.K., Shi, Q.Y., Yan, C.W., "Iconic indexing by 2D Strings", IEEE Transactions on Pattern Analysis and Machine Intelligence, 9(3), 1987.
[8]
Egenhofer, M.J., "Spatial Relations: Models and Inferences", Tutorial 2, International Symposium on Large Spatial databases (SSD'97), 1997.
[9]
Egenhofer, M.J., Herring, J., "Categorizing Binary Topological Relationships Between Regions, Lines and Points in Geographic Databases", Technical Report, Department of Surveying Engineering, University of Maine, Orono, ME, 1991.
[10]
Frank, A., "Qualitative Spatial Reasoning about Distances and Directions in Geographic Space", Journal of Visual Languages and Computing, 3(4), 1992.
[11]
Freuder, E.C., "Synthesizing Constraint Expressions", CACM, 2 I, 1978.
[12]
Freksa, C., "Conceptual Neighbourhood and its Role in Temporal and Spatial Reasoning", IMACS Workshop on Decision Support Systems and Qualitative Reasoning, 1991.
[13]
Freksa, C., "Temporal Reasoning based on Semi Intervals", Artificial Intelligence, 54, 1992.
[14]
Hogge, J., "TPLAN: A Temporal Interval-Based Planner with Novel Extensions", Technical Report UIUCDCS-R-87, University of Illinois, 1987.
[15]
Kautz, H. A., "A Formal Theory of Plan Recognition", PhD Thesis, Technical Report 215, University of Rochester, 1987.
[16]
Kautz, H. A., "Temporal Reasoning", M/T Encyclopedia of Cognitive Science (forthcoming), h ttp ://www. research, art. com/ ~Kautz/papers-ftp/index.html.
[17]
Koubarakis, M., Mylopoulos, J., Stanley, M., Borgida, A., "Telos: Features and Formalisation", Technical report KRR-TR-89-4, Department of Computer Science, University of Toronto, 1989.
[18]
Ladkin, P., Maddux, R., "The Algebra of Binary Constraint Networks", Kestrel Institute Technical Report KES. U. 88.9, 1988.
[19]
Ligozat, G., "On Generalised Interval Calculi", International AAAI Conference, 1991.
[20]
Li, J., Ozsu, T., Szafron, D., "Spatial Reasoning Rules in Multimedia Management Systems", International Conference on Multimedia Modelling (MMM), 1996.
[21]
Mackworth, A.K., "Consistency in Networks of Relations",Artificial Intelligence, 8, 1977.
[22]
McDermott, D., Davis, E., "Planning Routes Through Uncertain Territory", Artificial Intelligence, 22, 1984.
[23]
Mukerjee, A., Joe, G., "A qualitative Model For Space", International AAAI Conference, 1990.
[24]
Montanari, U., "Networks of Constraints: Fundamental Properties and Applications to Picture Processing", Information Science, 7, 1974.
[25]
Nabil, M., Ngu, A., Shepherd, J., "Picture Similarity Retrieval using 2D Projection Interval Representation", IEEE TKDE, 8(4), 1996.
[26]
Nokel, K., "Temporal Matchning: Recognizing Dynamic Situations from Discrete Measurements", iith IJCAL 1989.
[27]
Papadias, D., Mamoulis, N., Dells, B. "Algorithms for Querying by Spatial Structure", VLDB Conference, 1998.
[28]
Papadias, D., Sellis, T., "Spatial Reasoning Using Symbolic Arrays", International GIS Conference- From Space to Territory: Theories and Methods of Spatio-temporal Reasoning in Geographic Space", LNCS 639, 1992.
[29]
Papadias, D., Sellis, T., "Qualitative Representation of Spatial Knowledge in Two-Dimensional Space", VLDB Journal, 3(4), 1994.
[30]
Randell, D.A., Cui, Z., Cohn, A., "A Spatial Logic Based on Regions and Connection", Third International Conference on Principles of Knowledge Representation and Reasoning, 1992.
[31]
Sistla P., Yu, C., Haddad, R., "Reasoning About Spatial Relationships in Picture Retrieval Systems", VLDB Conference, 1994.
[32]
van Beek, P., Cohen, R., "Exact and Approximate Reasoning about Temporal Relations", Computational Intelligence, 6, 1990.
[33]
Vilain, M., Kautz, H., van Beek, P., "Constraint Propagation Algorithms for Temporal Reasoning: A Revised Report", appears in Readings in Qualitative Reasoning about Physical Systems, (eds) de Kleer and Weld, Morgan Kaufmann, 1989.
Index Terms
- Binary string relations: a foundation for spatiotemporal knowledge representation
Recommendations
About the fundamental relations defined on the hypergroupoids associated with binary relations
This paper deals with connections between hypergroupoids and n-ary relations. First we prove that the study of the reduced hypergroupoids associated with n-ary relations can be linked to the simpler case of binary relations. On the basis of the ...
n-hypergroups and binary relations
In this paper, we introduce and study the notion of a partial n-hypergroupoid, associated with a binary relation. Some important results concerning Rosenberg partial hypergroupoids, induced by relations, are generalized to the case of n-hypergroupoids. ...
Binary relations and reduced hypergroups
Different partial hypergroupoids are associated with binary relations defined on a set H. In this paper we find sufficient and necessary conditions for these hypergroupoids in order to be reduced hypergroups. Given two binary relations @r and @s on H we ...
Comments
Information & Contributors
Information
Published In
Copyright © 1999 ACM.
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]
Sponsors
Publisher
Association for Computing Machinery
New York, NY, United States
Publication History
Published: 01 November 1999
Check for updates
Author Tags
Qualifiers
- Article
Conference
CIKM99: Conference on Information and Knowledge Management
November 2 - 6, 1999
Missouri, Kansas City, USA
Acceptance Rates
Overall Acceptance Rate 1,861 of 8,427 submissions, 22%
Upcoming Conference
Contributors
Other Metrics
Bibliometrics & Citations
Bibliometrics
Article Metrics
- View Citations1Total Citations
- 360Total Downloads
- Downloads (Last 12 months)33
- Downloads (Last 6 weeks)5
Reflects downloads up to 16 Oct 2024
Other Metrics
Citations
Cited By
View all- Megalou EHadzilacos T(2003)Semantic Abstractions in the Multimedia DomainIEEE Transactions on Knowledge and Data Engineering10.1109/TKDE.2003.116158715:1(136-160)Online publication date: 1-Jan-2003
View Options
Get Access
Login options
Check if you have access through your login credentials or your institution to get full access on this article.
Sign in