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Convex Hull

Alternate name

Basic definition

The convex hull of a set of points S is the intersection of all convex sets containing S.

Detailed definition

$The convex hull of a set of points S in n dimensions is the intersection of all convex sets containing S. For N points p_1, ..., p_N, the convex hull C is then given by the expression C congruent { sum_(j = 1)^N λ_j p_j :λ_j>=0 for all j and sum_(j = 1)^N λ_j = 1}.$

Related terms

Carathéodory's fundamental theorem | computational geometry | cross polytope | Delaunay triangulation | expansion | geometric span | Groemer packing | Groemer theorem | happy end problem | Radon's theorem | sausage conjecture | Sylvester's four-point problem | temperature | Voronoi diagram

Educational grade level

high school level

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What Is Domain In Math

What Is Domain In Math ‘

What Is Domain In Math

What Is Domain In Math ‘

Volume of a Sphere

Volume of a Sphere ‘

Area of a Triangle

Area of a Triangle ‘

Distance Formula

Distance Formula ‘

Distance Formula

Distance Formula ‘

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Volume of a Cylinder ‘

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