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.

Answer 3

[Gara]

This is a very common question. If you are not very well used to MATLAB, just try simple method. Your object or shape seems convex. So use the below method.

Enter all (8) coordinates in a matrix array

Ex: A=[x,y,z;x1,y1,z1;............];

[k,av]=convhull(A)

You will get answer as av=?

This should give you the volume of your 3-D object.