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R-tree

R-trees are tree data structures used for spatial access methods, i.e., for indexing multi-dimensional information such as geographical coordinates, rectangles or polygons. The R-tree was proposed by Antonin Guttman in 1984 and has found significant use in both theoretical and applied contexts. A common real-world usage for an R-tree might be to store…

R-tree idea, Algorithm & Overview

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Invented
1984
Invented by
Antonin Guttman
Operation
Average
Search
O(logMn)
Time complexity in big O notation
Time complexity in big O notationOperation Average Worst caseSearch O(logMn) O(n)Insert O(n)Space complexity
Type
tree

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Overview

R-tree idea

Variants

Algorithm

Advanced semantic analysis

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Map overview Semantic statistics

R-tree

Nodes34
Edges33
Triples62
Avg. degree1.94
Density0.058824
Components1

How this topic connects Entity context

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R-tree

Top relations

related to Bulk-loading · 14
R-tree → Another, For, Hilbert, Improvement, Nearest-X, Objects, OMT, Overlap Minimizing Top-down, Packed Hilbert R-tree, Priority R-tree, Sort-Tile-Recursive, STR, The, There
related to Search · 12
R-tree → Every, Filter, For, FRP, If, In, Query, Refine Principle, Searching, Specifically, The, When
related to R-tree idea · 9
R-tree → At, B-tree, B-trees, Each, It, Similar, Since, The, This
related to Data layout · 6
R-tree → Data, Each, For, Leaf, MBR, R-trees
related to External links · 3
R-tree → Media, Wikimedia Commons, Wiktionary-logo-en-v2
related to Variants · 2
R-tree → Priority R-treeR, R-treeX-tree
see also · 2
R-tree → K-d, Segment
Invented · 1
R-tree → 1984
Invented by · 1
R-tree → Antonin Guttman
Operation · 1
R-tree → Average

Important terminology Word statistics

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Important terminology

tree data node search pages objects split also leaf overlap nodes rectangles rectangle bounding performance spatial page number nearest similar

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
R-treeInvented19841.00infobox
R-treeInvented byAntonin Guttman1.00infobox
R-treeOperationAverage1.00infobox
R-treeSearchO(logMn)1.00infobox
R-treeTime complexity in big O notationTime complexity in big O notationOperation Average Worst caseSearch O(logMn) O(n)Insert O(n)Space complexity1.00infobox
R-treeTypetree1.00infobox
geographical coordinatesinstance offor indexing multi-dimensional information0.80text
rectangles or polygonsinstance offor indexing multi-dimensional information0.80text
restaurant locations or the polygons that typical maps are made ofinstance ofA common real-world usage for an R-tree might be to store spatial objects0.80text
nearest neighbor searchinstance ofare put into the result set if they lie within the search rectangle.For priority search0.80text
the query consists of a point or rectangleinstance ofare put into the result set if they lie within the search rectangle.For priority search0.80text
choosing the rectangle which requires least enlargementinstance ofand a candidate is chosen using a heuristic0.80text

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    Min side: 3
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