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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}.

    Educational grade level

    high school level

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