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By Alexander J. W.

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Enter information about an available entry into PR. response -e- 0 while PR 7^ 0 do Extract entry A^ -: (G, 7^(G)) from PR. foreach object entry Oj e G do if d{q^Oj) < r then Oj -^ response enddo foreach non-object entry N' =: {C,n{C)) G G do if 7^(G0 and7^(Q) intersect then Insert the entry N' into PR. 5. Search algorithm for range queries Q = R{q^ r). Tl{G). A bounding region of G represents a constraint on the metric that must be satisfied by all elements e e G. For example, a bounding region of a set G of objects specified by a preselected object p and a radius r implies that Vo e G, d{o^p) < r.

Thus, it should be made user-dependent to improve the effectiveness of similarity queries, so as to allow users sufficient flexibility in stating their preferences [Chomicki, 2002]. As an example, one user looking for a second-hand car on a trading site could be more interested in the car's price than its speed, whereas the opposite might hold true for another user. Preferences on simple domains, such as in the example above, are easy to adjust. However, it might be difficult to specify user's preferences for complex domains such as color histograms, since it requires defining all the histogram values.

The proposed solution suggests that the index should process complex queries as a whole, evaluating multiple similarity predicates at a time. The flexibility of this approach is demonstrated by considering three different similarity languages: fuzzy standard, fuzzy algebraic and weighted sum. , 1997b]. Experimental results show that performance of the extended M-tree is consistently better than the AQ algorithm. The main drawback of this approach is that even though it is able to employ more features during the search, these features are compared using a single distance function.

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An Example of a Simply Connected Surface Bounding a Region which is not Simply Connected by Alexander J. W.


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