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Quadtree

A quadtree is a tree data structure in which each internal node has exactly four children. Quadtrees are the two-dimensional analog of octrees and are most often used to partition a two-dimensional space by recursively subdividing it into four quadrants or regions. The data associated with a leaf cell varies by application, but the leaf cell represents a…

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Key facts & relationships

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Invented
1974
Invented by
Raphael Finkel and J.L. Bentley
Operation
Average
Time complexity in big O notation
Time complexity in big O notationOperation Average Worst caseSpace complexity
Type
Tree

Topics to explore

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Overview

Types

Some common uses of quadtrees

Image processing using quadtrees

Mesh generation using quadtrees

General references

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Quadtree

Nodes47
Edges46
Triples102
Avg. degree1.96
Density0.042553
Components1

How this topic connects Entity context

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Quadtree

Top relations

related to General references · 34
Quadtree → Acta Informatica, Archived, Bentley, Berg, BF00288933, Chapter, Collection, Composite Keys, Computational Geometry, CS1, Data Structure, Hanan, ISBN, July, June, Kreveld, Marc, March, Mark, Mark Overmars
related to Connected component labelling · 8
Quadtree → Consider, Each, In, Samet, The, They, This, Using
related to Image union / intersection · 8
Quadtree → Consider, For, Given, Informally, One, Rather, That, The
related to Polygonal map (PM) quadtree · 8
Quadtree → Finally PM1, PM, PM Quadtree, PM Quadtrees, PM2, PM3, The, There
related to Mesh generation using quadtrees · 6
Quadtree → As, Berg, Har-Peled, Mesh, Quadtrees, This
related to Point quadtree · 6
Quadtree → Consequently, Given, In, It, Point, The
related to Point-region (PR) quadtree · 6
Quadtree → As, In, Like, Point-region, PR, The
related to Edge quadtree · 5
Quadtree → Curves, Edge, Near, PM, This
is a · 3
Quadtree → adaptation of a binary tree used to represent two-dimensional point data, tree data structure in which each internal node has exactly four children, type of trie.A region quadtree with a depth of n may be used to represent an image consisting of 2n
related to References · 3
Quadtree → Aluru, Samet, Surveys

Important terminology Word statistics

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Important terminology

tree displaystyle point quadtrees node cell data points black leaf image one two cells pixels four region also may nodes

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
QuadtreeInvented19741.00infobox
QuadtreeInvented byRaphael Finkel and J.L. Bentley1.00infobox
QuadtreeOperationAverage1.00infobox
QuadtreeTime complexity in big O notationTime complexity in big O notationOperation Average Worst caseSpace complexity1.00infobox
QuadtreeTypeTree1.00infobox
Quadtreeis atree data structure in which each internal node has exactly four children0.90text
Quadtreeis atype of trie.A region quadtree with a depth of n may be used to represent an image consisting of 2n0.90text
Quadtreeis aadaptation of a binary tree used to represent two-dimensional point data0.90text
Quadtreerelated to Connected component labellingConsider0.60section
Quadtreerelated to Connected component labellingThey0.60section
Quadtreerelated to Connected component labellingIn0.60section
Quadtreerelated to Connected component labellingEach0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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