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Convex hull

In geometry, the convex hull, convex envelope or convex closure of a shape is the smallest convex set that contains it. The convex hull may be defined either as the intersection of all convex sets containing a given subset of a Euclidean space, or equivalently as the set of all convex combinations of points in the subset. For a bounded subset of the…

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Overview

Definitions

Topological properties

Geometric and algebraic properties

Special cases

Computation

Related structures

Applications

History

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Map overview Semantic statistics

Convex hull

Nodes184
Edges183
Triples137
Avg. degree1.99
Density0.01087
Components1

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Convex hull

Top relations

related to history · 12
Convex hull → By, Dines, GarrettBirkhoff, German, Hans Rademacher's, Henry Oldenburg, Isaac Newton, Kőnig, Lloyd Dines, Newton, Other, The
related to Computation · 10
Convex hull → Chan's, Computing, For, Graham, In, Kirkpatrick, Output, Seidel, The, These
related to Finite point sets · 9
Convex hull → According, Each, Euclidean, For, In, It, Krein, Milman, The
related to Mathematics · 9
Convex hull → Convex, Dye, Gauss, In, Lucas, Newton, Radon's, The Russo, Tverberg's
related to External links · 8
Convex hull → Convex, EMS Press, Encyclopedia, Eric, Mathematics, MathWorld, Weisstein, Wolfram Demonstrations Project
related to Extreme points · 8
Convex hull → According, An, Choquet, Euclidean, For, However, Krein, Milman
has application · 7
Convex hull → And, Bézier, Convex, In, They, Tukey, Within
related to Economics · 7
Convex hull → Arrow, Debreu, Folkman, In, The Shapley, These, When
related to Related structures · 6
Convex hull → Equivalently, Euclidean, For, It, Several, The
is a · 5
Convex hull → interior, intersection of all orthogonally convex and connected supersets, simple closed curve with minimum perimeter containing X, simplicial polytope.According to the upper bound theorem, smallest possible convex bounding volume of the objects

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Important terminology

convex hull points set hulls displaystyle sets space point given euclidean every intersection finite containing theorem used also subset polygon

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Convex hullis asimple closed curve with minimum perimeter containing X0.90text
Convex hullis asmallest possible convex bounding volume of the objects0.90text
Convex hullis ainterior0.90text
Convex hullis asimplicial polytope.According to the upper bound theorem0.90text
Convex hullis aintersection of all orthogonally convex and connected supersets0.90text
the rotating calipers method for computing the widthinstance ofa building block for a number of other computational-geometric algorithms0.80text
diameter of a point setinstance ofa building block for a number of other computational-geometric algorithms0.80text
Convex hullhas applicationConvex0.60section
Convex hullhas applicationWithin0.60section
Convex hullhas applicationThey0.60section
Convex hullhas applicationTukey0.60section
Convex hullhas applicationIn0.60section

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