Convex Hulls Of Simple Space Curves
Douglas Derry · Canadian Journal of Mathematics · 1956
The convex hull of an arbitrary setMin real Euclideann-space is known to consist of all the points within ther-simplexes withr+ 1 vertices fromM, r ≤ n.This note shows that ifMis specialized to be a curveAnof real ordern, then its convex hull consists of all the points within ther-simplexes withr+ 1 vertices onAn, n = 2r + 1 or n = 2r.