10 Facts About Convex hull

The convex hull operator is an example of a closure operator, and every antimatroid can be represented by applying this closure operator to finite sets of points.

Objects in three dimensions, the first definition states that the convex hull is the smallest possible convex bounding volume of the objects.

In two dimensions, the convex hull is sometimes partitioned into two parts, the upper hull and the lower hull, stretching between the leftmost and rightmost points of the hull.

However, an intersection of closed half-spaces is itself closed, so when a convex hull is not closed it cannot be represented in this way.

Each extreme point of the hull is called a vertex, and every convex polytope is the convex hull of its vertices.

For sets of points in general position, the convex hull is a simplicial polytope.

Computing the convex hull means constructing an unambiguous, efficient representation of the required convex shape.

In robust statistics, the convex hull provides one of the key components of a bagplot, a method for visualizing the spread of two-dimensional sample points.

In multi-objective optimization, a different type of convex hull is used, the convex hull of the weight vectors of solutions.

Convex hull is commonly known as the minimum convex polygon in ethology, the study of animal behavior, where it is a classic, though perhaps simplistic, approach in estimating an animal's home range based on points where the animal has been observed.