A new approach to rectangle intersections Part II

The study begun in Part I is completed by providing an algorithm which reports all intersecting pairs of a set of rectangles in d dimensions. This approach yields a solution which is optimal in time and space for planar rectangles and reasonable in higher dimensions.

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Bibliographic Details
Published in:International journal of computer mathematics Vol. 13; no. 3-4; pp. 221 - 229
Main Author: Edelsbrunner, Herbert
Format: Journal Article
Language:English
Published: Gordon and Breach Science Publishers 01.01.1983
Subjects:
Computational geometry
concrete complexity
data structure
E.1. [Data]: Data structures-trees
F.2.2 [Analysis of Algorithms and Problem Complexity]: Nonnumerical algorithms and problems-geometrical problems and computation, sorting and searching
H.3.3 [Information Storage and Retrieval]: Information search and retrieval-search process
intersection
rectilinearly-oriented rectangle
searching problem
ISSN:0020-7160, 1029-0265
Online Access:Get full text
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Abstract The study begun in Part I is completed by providing an algorithm which reports all intersecting pairs of a set of rectangles in d dimensions. This approach yields a solution which is optimal in time and space for planar rectangles and reasonable in higher dimensions.
AbstractList The study begun in Part I is completed by providing an algorithm which reports all intersecting pairs of a set of rectangles in d dimensions. This approach yields a solution which is optimal in time and space for planar rectangles and reasonable in higher dimensions.
Author Edelsbrunner, Herbert
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Cites_doi 10.1145/322276.322281
10.1016/0020-0190(79)90117-0
10.1109/TC.1982.1675973
10.1007/BF01933636
10.1016/0196-6774(81)90033-X
10.1109/TC.1980.1675628
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Copyright Copyright Taylor & Francis Group, LLC 1983
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Fredman M. L. (CIT0006) 1981; 28
CIT0011
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Snippet The study begun in Part I is completed by providing an algorithm which reports all intersecting pairs of a set of rectangles in d dimensions. This approach...
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StartPage 221
SubjectTerms Computational geometry
concrete complexity
data structure
E.1. [Data]: Data structures-trees
F.2.2 [Analysis of Algorithms and Problem Complexity]: Nonnumerical algorithms and problems-geometrical problems and computation, sorting and searching
H.3.3 [Information Storage and Retrieval]: Information search and retrieval-search process
intersection
rectilinearly-oriented rectangle
searching problem
Subtitle Part II
Title A new approach to rectangle intersections
URI https://www.tandfonline.com/doi/abs/10.1080/00207168308803365
Volume 13
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