(of a set) The intersection of all convex supersets (which can be limited to halfspaces) Equivalently, the set of all convex combinations of points in the set (which can be limited to convex combinations of at most n+1 points, in n dimensions, which is known as Carathéodory's Theorem)
The surface of minimum area with convex (outward-bowing) curvature that passes through all the spatial points in a set In three dimensions, this set must contain at least four non-coplanar points to make a closed surface with nonzero enclosed volume
The surface of minimum area with convex (outward-bowing) curvature that passes through all the points in the set In three dimensions, this set must contain at least four non-coplanar points to make a closed surface with nonzero enclosed volume
The convex hull of a bounded subset of a 2D plane is the convex set of smallest area that contains the original set If one thinks of the points of the original set as pegs on a board, then the convex hull would be those points interior to a rubber band stretched around the pegs