Higher Dimensional Convex Hull Algorithms 1 Convex hulls
نویسنده
چکیده
• Sd: A d-Simplex The simplest convex polytope in R. A d-simplex is always the convex hull of some d + 1 affinely independent points. For example, a line segment is a 1− simplex i.e., the smallest convex subspace which contains two points. A triangle is a 2 − simplex and a tetrahedron is a 3− simplex. • P: A Simplicial Polytope. A polytope where each facet is a d− 1 simplex. By our assumption, a convex hull in 3-D has triangular facets and in 4-D, a convex hull has tetrahedral facets.
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