Volume of irregular shape

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Meh
Meh 2015-8-6
编辑： Walter Roberson 2025-1-22
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

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Torsten
Torsten 2015-8-6
编辑：Torsten 2015-8-6
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Gregory Vernon
Gregory Vernon 2015-8-6
编辑：Walter Roberson 2025-1-22
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

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更多回答（2 个）

Steven Lord
Steven Lord 2015-8-6
Construct an alphaShape from your data then call VOLUME (since this is 3-D data) on the alphaShape.
Gara
Gara 2025-1-22
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.

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