Convex hull

Definition 3.1 A set P ⊆ Rd is convex if pq ⊆ P, for any p,q ∈ P. An alternative, equivalent way to phrase convexity would be to demand that for every line l ...

The convex hull of an object is defined as the shape that would be enclosed by a thread tied tightly around the object; the convex deficiency is defined as the ...

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.

中譯「凸包」或「凸殼」。在高維空間中有一群散佈各處的點，「凸包」是包覆這群點的所有外殼當中，表面積暨容積最小的一個外殼，而最小的外殼一定是凸的。

The intersection of all the convex sets that contain a given subset A of Euclidean space is called the convex hull of A. It is the smallest convex set ...

A convex set is defined as a set of points in which the line AB connecting any two points A, B in the set lies completely within that set.

In the following sections we introduce the convex hull and intersection of halfspaces representations, which can be used to show that a set is convex, or prove ...

2017年4月18日 — Let S⊂Rn. Prove that the convex hull of S is a convex set. ... Using Proof by Induction m=1 is trivial and m=2 is the definition of a convex set.

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.

convex hull c o n v S conv S convS: set of all convex combinations of points in S S S. Convex hull. 凸錐組合與凸錐(conic combination and convex cone).