Volume, Surface Area, and Centroid of Polyhedron

Finds volume, surface area, and centroid of a polyhedron

This function find the volume, surface area, and centroid of a polyhedron. The polyhedron faces should be divided into triangles. The numbering of all triangles faces should be consistent. Either all of them in clock wise or counter clock wise direction as seen from the outside.

[Vol, A, Cx, Cy, Cz]=Polyhedron_VAC(V,F)

Input:

V: (Nv,3) vertices matrix

F: (Nf,3) faces matrix

Output:

Vol: volume

A: surface area

Cx, Cy, and Cz: x,y, and z coordinates of centroid, respectively.