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PH-tree

The PH-tree is a tree data structure used for spatial indexing of multi-dimensional data (keys) such as geographical coordinates, points, feature vectors, rectangles or bounding boxes. The PH-tree is space partitioning index with a structure similar to that of a quadtree or octree. However, unlike quadtrees, it uses a splitting policy based on tries and…

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Key facts & relationships

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Delete
O(log n)
Insert
O(log n)
Invented
2014
Operation
Average
Search
O(log n)
Space
O(n)

Topics to explore

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Overview

Node structure

Operations

Floating-point keys

Scalability

Uses

Advanced semantic analysis

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Map overview Semantic statistics

PH-tree

Nodes34
Edges33
Triples39
Avg. degree1.94
Density0.058824
Components1

How this topic connects Entity context

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PH-tree

Top relations

related to overview · 6
PH-tree → Crit, Each, For, Like, The, The PH-tree
related to Uses · 6
PH-tree → R-Trees, Research, The, The PH-tree, This, Window
is a · 5
PH-tree → hierarchy of nodes where every node splits the space in all d dimensions, map rather than a multimap.A d-dimensional PH-tree is a tree of nodes where each node partitions space by subdividing it into 2 d, multi-dimensional generalization of a Crit bit tree in the sense that a Crit bit tree is equivalent to a PH-tree with 1, spatial index that maps keys, tree data structure used for spatial indexing of multi-dimensional data
related to Scalability · 5
PH-tree → B-Tree, However, In, The, Z-order
related to Quadrant numbering · 4
PH-tree → All, For, L's, The PH-tree
related to Floating-point keys · 3
PH-tree → Floating-point, However, The PH-tree
related to Splitting strategy · 2
PH-tree → Similar, Thus
Delete · 1
PH-tree → O(log n)
Insert · 1
PH-tree → O(log n)
Invented · 1
PH-tree → 2014

Important terminology Word statistics

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Important terminology

displaystyle node keys query min key quadrant max quadrants box tree entries bit lookup also entry bits example window overlap

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
PH-treeDeleteO(log n)1.00infobox
PH-treeInsertO(log n)1.00infobox
PH-treeInvented20141.00infobox
PH-treeOperationAverage1.00infobox
PH-treeSearchO(log n)1.00infobox
PH-treeSpaceO(n)1.00infobox
PH-treeTime complexity in big O notationTime complexity in big O notationOperation Average Worst caseSearch O(log n) O(log n)Insert O(log n) O(log n)Delete O(log n) O(log n)Space complexitySpace O(n) O(n)1.00infobox
PH-treeTypetree, map1.00infobox
PH-treeis atree data structure used for spatial indexing of multi-dimensional data0.90text
PH-treeis aspatial index that maps keys0.90text
PH-treeis amulti-dimensional generalization of a Crit bit tree in the sense that a Crit bit tree is equivalent to a PH-tree with 10.90text
PH-treeis amap rather than a multimap.A d-dimensional PH-tree is a tree of nodes where each node partitions space by subdividing it into 2 d0.90text
PH-treeis ahierarchy of nodes where every node splits the space in all d dimensions0.90text

Related concept clusters Concept neighborhoods

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    Min side: 3
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