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Metric space indexing is closely related to the recent digitization revolution where almost everything that one can see, hear, read, write or measure is available in digital form. Unlike traditional attribute-like data types such as numbers and strings of sortable domains, instances of these new data types are complex, and the only measure of comparison to apply is a sort of similarity. Such a situation implies an application of the query-by-example search paradigm where the database is searched for objects that are near the example object, also called the query object. A useful abstraction of this similarity is to see it as mathematical metric space [7]. The problem of organizing and searching large datasets of complex objects can then be considered from the perspective of generic or arbitrary metric spaces, sometimes labeled distance spaces. In general, the search problem can be described as follows:
Let D be a domain, d a distance measure on D,...
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Batko M., Novak D., Falchi F., and Zezula P. On Scalability of the Similarity Search in the World of Peers. In Proc. 1st Int. Conf. Scalable Information Systems, 2006, pp. 1–12.
Chávez E., Navarro G., Baeza-Yates R., and Marroquín J.L. Searching in metric spaces. ACM Comput. Surv., 33(3):273–321, 2001.
Ciaccia P., Patella M., and Zezula P. M-tree: An efficient access method for similarity search in metric spaces. In Proc. 23th Int. Conf. on Very Large Data Bases, 1997, pp. 426–435.
Dohnal V., Gennaro C., Savino P., and Zezula P. D-Index: Distance searching index for metric data sets. Multimedia Tools Appl., 21(1):9–33, 2003.
Hjaltason G.R. and Samet H. Incremental similarity search in multimedia databases. Technical Report CS-TR-4199, Computer Science Department, University of Maryland, College Park., November 2000.
Hjaltason G.R. and Samet H. Index-driven similarity search in metric spaces. ACM Trans. Database Syst., 28(4):517–580, 2003.
Kelly J.L. General Topology. D. Van Nostrand, New York, 1955.
Samet H. Foundations of Multidimensional and Metric Data Structures. Morgan Kaufmann, San Francisco, CA, USA, 2005.
Traina Jr. C., Traina A.J.M., Seeger B., and Faloutsos C. 2000, Slim-Trees: High Performance Metric Trees Minimizing Overlap between Nodes. In Advances in Database Technology, Proc. 7th Int. Conf. on Extending Database Technology, pp. 51–65.
Zezula P., Amato G., Dohnal V., and Batko M. Similarity Search: The Metric Space Approach, Springer, Berlin Heidelberg, New York, 2006.
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Zezula, P., Batko, M., Dohnal, V. (2009). Indexing Metric Spaces. In: LIU, L., ÖZSU, M.T. (eds) Encyclopedia of Database Systems. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-39940-9_199
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DOI: https://doi.org/10.1007/978-0-387-39940-9_199
Publisher Name: Springer, Boston, MA
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