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Bounding sphere

In mathematics, given a non-empty set of objects of finite extension in d {\displaystyle d} -dimensional space, for example a set of points, a bounding sphere, enclosing sphere or enclosing ball for that set is a d {\displaystyle d} -dimensional solid sphere containing all of these objects.

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Map overview Semantic statistics

Bounding sphere

Nodes37
Edges36
Triples30
Avg. degree1.95
Density0.054054
Components1

How this topic connects Entity context

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Bounding sphere

Top relations

related to Ritter's bounding sphere · 10
Bounding sphere → If, In, It, Jack Ritter, Otherwise, Pick, Repeat, Search, Set, The
related to Linear programming · 8
Bounding sphere → Emo Welzl, In, Nimrod Megiddo, Raimund Seidel, The, Timothy Chan, Welzl's, When
related to Extremal points optimal sphere · 6
Bounding sphere → An, For, It, Larsson, The, This
related to Core-set based approximation · 2
Bounding sphere → Bădoiu, The
is a · 1
Bounding sphere → special type of bounding volume
related to Algorithms · 1
Bounding sphere → There

Important terminology Word statistics

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Important terminology

sphere bounding points algorithm displaystyle point time problem set radius algorithms exact used objects applications also proposed may within spheres

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bounding sphereis aspecial type of bounding volume0.90text
a least squares point is computed to represent the clusterinstance ofbut instead some form of average location0.80text
Boydinstance ofespecially in higher dimensions or when integrating with other optimization-based methods.This convex formulation is discussed in sources0.80text
Bounding sphererelated to AlgorithmsThere0.60section
Bounding sphererelated to Core-set based approximationBădoiu0.60section
Bounding sphererelated to Core-set based approximationThe0.60section
Bounding sphererelated to Extremal points optimal sphereLarsson0.60section
Bounding sphererelated to Extremal points optimal sphereThis0.60section
Bounding sphererelated to Extremal points optimal sphereAn0.60section
Bounding sphererelated to Extremal points optimal sphereThe0.60section
Bounding sphererelated to Extremal points optimal sphereFor0.60section
Bounding sphererelated to Extremal points optimal sphereIt0.60section

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