Volume of irregular shape

I have for example X,Y,Z coordinates of 8 points which form an irregular shape. How can I calculate the volume with in this shape? Eg. coordinates area:

0  0  384,67
0  26,6  385,25
-47,85  26,6  385,9
-47,85  0  385,3
0  0  387,32
0  26,6  387,32
-47,85  26,6  387,32
-47,85  0  387,32

Answer 1

[Torsten]

http://de.mathworks.com/help/matlab/ref/convhull.html

Best wishes

Torsten.

[Meh]

Thanx, but how do I proceed after getting k using convexhull?

[Torsten]

[K,V]=convexhull(X,Y,Z);

Best wishes

Torsten.

[Meh]

Thanx

[Gregory Vernon]

This answer assumes that your volume is convex. If your volume is concave, this method will return a larger volume. If you know the connectivity, and your volume is orientable, you can use the method outlined here:

http://www.ecse.rpi.edu/~wrf/Research/Short_Notes/volume.html

https://en.wikipedia.org/wiki/Polyhedron#Volume (see "Orientable Polyhedra") https://en.wikipedia.org/wiki/Orientability

Answer 2

[Steven Lord]

Construct an alphaShape from your data then call VOLUME (since this is 3-D data) on the alphaShape.