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An example of Γ partitioning of a 2-dimensional space.  

An example of Γ partitioning of a 2-dimensional space.  

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This paper addresses the problem of supporting region queries over a dynamically growing set of data in feature spaces with many dimensions. It formulates two principles of indexing data in high-dimensional feature spaces and presents an approach to high-dimensional indexing with these principles in mind. The combined goal of the two principles is...

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... [OLS02], we proposed a new space-partitioning strategy called Γ. is statically partitioned by several nested hyper-rectangles, called generators. The low endpoint of each generator lies in the origin (low left corner in Figure 3) of the space. The space between a generator and the one it immediately encloses, if any, is called a Γ subspace. ...

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... Since this technical document is intended to provide a complete description of the technical aspects of the D* system, we repeat here some information and algorithms already published in [Kul06], [Luk04], [Orl05], or [Orl06]. In the rest of the document, Section 2 summarizes related work. ...
... As we will see in Section 3, the first design principle deals with the grouping of multi-dimensional data in index pages, whereas the second deals with their representation within the indices. The pursuit of these principles can result in significant improvements of retrieval performance [Orl06]. The principles of clustering and cluster representation have been pursued in some contemporary multi-dimensional access methods. ...
... However, the adherence to one principle does not imply the adherence to the other. Therefore, these principles are largely orthogonal design goals [Orl06]. ...
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