Summarizing a stream of multidimensional, axis-aligned rectangles

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United States of America Patent

PATENT NO 9152688
APP PUB NO 20140258253A1
SERIAL NO

13791472

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Abstract

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A method for estimating aggregates over a stream of axis-aligned rectangles, includes: decomposing the stream along one-dimensional intervals, wherein vertices for the rectangle are located in a predetermined grid; assigning each grid row to buckets, wherein the one-dimensional intervals are placed into buckets according to the corresponding rows in which the one-dimensional intervals are positioned; and estimating a sum of a number of grid points touched by at least one of the rectangles in each row of the grid to approximate a volume of the axis-aligned rectangles by: using pairwise-independent hash functions in a multi-dimensional algorithm to determine buckets that include a first interval corresponding to a given rectangle, wherein the interval has hash function results that meet a predetermined threshold; and inserting a second interval for the rectangle corresponding to the first interval into a one-dimensional algorithm for the corresponding bucket meeting the predetermined threshold.

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Patent Owner(s)

  • INTERNATIONAL BUSINESS MACHINES CORPORATION;IOWA STATE UNIVERSITY RESEARCH FOUNDATION, INC.

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Inventor(s)

Inventor Name Address # of filed Patents Total Citations
Tirthapura, Srikanta N Ames, US 5 93
Woodruff, David P Mountain View, US 29 226

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