NDLI: Efficient processing of window queries in the pyramid data structure

Content Provider	ACM Digital Library
Author	Aref, Walid G. Samet, Hanan
Abstract	Window operations serve as the basis of a number of queries that can be posed in a spatial database. Examples of these window-based queries include the exist query (i.e., determining whether or not a spatial feature exists inside a window) and the report query, (i.e., reporting the identity of all the features that exist inside a window). Algorithms are described for answering window queries in &Ogr;(n log logT) time for a window of size n x n in a feature space (e.g., an image) of size T x T (e.g., pixel elements). The significance of this result is that even though the window contains n2 pixel elements, the worst-case time complexity of the algorithms is almost linearly proportional (and not quadratic) to the window diameter, and does not depend on other factors. The above complexity bounds are achieved via the introduction of the incomplete pyramid data structure (a variant of the pyramid data structure) as the underlying representation to store spatial features and to answer queries on them.
Starting Page	265
Ending Page	272
Page Count	8
File Format	PDF
ISBN	0897913523
DOI	10.1145/298514.298579
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1990-04-02
Publisher Place	New York
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

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Efficient processing of window queries in the pyramid data structure