Indexing system and method for nearest neighbor searches in...

Data processing: database and file management or data structures – Database and file access – Post processing of search results

Reexamination Certificate

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C382S225000, C382S253000

Reexamination Certificate

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07917504

ABSTRACT:
Vectors representing objects in n-dimensional space are approximated by local polar coordinates on partitioned cells of the data space in response to a query, e.g., a query data vector entered with a request to find “k” nearest neighbors to the query vector. A set of candidate near neighbors is generated using the approximations, with the local polar coordinates being independent of the dimensionality of the data space. Then, an answer set of near neighbors is returned in response to the query. Thus, the present invention acts as a filter to reduce the number of actual data vectors in the data set that must be considered in responding to the query.

REFERENCES:
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patent: 5619717 (1997-04-01), Staats
patent: 5949422 (1999-09-01), Mochizuki et al.
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patent: 6236687 (2001-05-01), Caso et al.
patent: 6263334 (2001-07-01), Fayyad et al.
Department of Mathematics, “Coordinate Systems in Two and Three Dimensions”, 1996, Oregon University, <http://oregonstate.edu/dept/math/CalculusQuestStudyGuides/vcalc/coord/coord.html>, pp. 1-4.

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