affineHull -- computes the affine hull of a polyhedron

Synopsis

• Usage:

  Q = affineHull P

• Inputs:
  • P, a convex polyhedron
• Outputs:
  • Q, a convex polyhedron

Description

Computes the affine hull of a polyhedron. This is the affine subspace with the same dimension as the polyhedron, containing the polyhedron.

i1 : P = stdSimplex 3

o1 = P

o1 : Polyhedron

i2 : Q = affineHull P

o2 = Q

o2 : Polyhedron

i3 : linealitySpace Q

o3 = | -1 -1 -1 |
     | 1  0  0  |
     | 0  1  0  |
     | 0  0  1  |

              4        3
o3 : Matrix QQ  <--- QQ