Convex hull results for generalizations of the constant capacity single node flow set

Convex Hull, Set of Convex Combinations and Convex Cone

Let V be a real linear space. The functor ConvexComb(V ) yielding a set is defined by: (Def. 1) For every set L holds L ∈ ConvexComb(V ) iff L is a convex combination of V . Let V be a real linear space and let M be a non empty subset of V . The functor ConvexComb(M) yielding a set is defined as follows: (Def. 2) For every set L holds L ∈ ConvexComb(M) iff L is a convex combination of M . We no...

An Explicit Constant for Sullivan's Convex Hull Theorem

Sweep Line Algorithm for Convex Hull Revisited

Convex hull of some given points is the intersection of all convex sets containing them. It is used as primary structure in many other problems in computational geometry and other areas like image processing, model identification, geographical data systems, and triangular computation of a set of points and so on. Computing the convex hull of a set of point is one of the most fundamental and imp...

Computing the convex hull of a planar point set

In Figure 1, the set S consists of thirteen points. The output of a convex hull algorithm should be the list (p1, p2, p3, p4, p5, p6). We remark that the list storing the vertices of CH (S) can start with an arbitrary vertex. In the example, the list (p3, p4, p5, p6, p1, p2) would also be a valid output. ∗School of Computer Science, Carleton University, Ottawa, Ontario, Canada K1S 5B6. E-mail: ...

Adaptive Planar Convex Hull Algorithm for a Set of Convex Hulls