Summarizing a stream of multidimensional, axis-aligned rectangles
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United States of America Patent
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Oct 6, 2015
Grant Date -
Sep 11, 2014
app pub date -
Mar 8, 2013
filing date -
Mar 8, 2013
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Abstract
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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