Area and volume of a 3D convex hull

Volume and area of a 3D convex hull.

Description

Takes an Nx3 matrix of vertices representing the extreme points of a surface, calls convexhulln to get a convex hull of these points, and uses the resulting facet list to compute the area of that convex hull. Vectorized for speed.

• MATLAB release: MATLAB 6.5 (R13)

[Marie Weiss]

the convex hull volume is not computed and that was what I needed!

[Michael Willcox]

Exactly what I needed and it DOES find the volume...it just doesn't output it to the screen.

[guilhem Dezanneau]

works very well...thanks a lot

[Jason Matthews]

Works well

[Birajashis Pattnaik]

That is working very fine. Thanks. But what about the ploting the convex hull atleast in lower dimension. Can anybody help?

[Matthew Ghanma]

I'm trying to verify the result of your algorithm, I think it gives double the area! Can you please look into this. I tried it on the coordinates of simple planar square.

[Jim P]

Try these coordinates:

2 equal area squares at right angles to each other:

1 1 1
1 1 4
1 4 1
1 4 4
4 1 1
4 1 4

the single face area should be 18 sq units, or 32 sq units for both sides of the face.

The algorhythm computes the area to be 39.7279 sq units.

[Chieh-Wen Lo]

Wow... Fantastic... You really do me a favor, Thanks :)

[Jveer]

just what i was looking for! cheers mate!

[Jveer]