MATLAB: How to compute volume and aspect ratio of a 3D geometry

geometryhomeworkMATLAB

I have a set of (x,y,z) coordinates, which typically represent a 3D geometrical object. Is there any MATLAB function that returns:

The volume occupied by that object
The aspect ratio of that object.

Aspect ratio is its size along y-axis divided by its size along x-axis.

Best Answer

If the volume is convex then the second output argument to

 convhulln

will be the volume. If it is not convex then there are tools on the FEX from Luigi Giaccari and Adam A. which will make a good approximation.

Good Luck!

Related Solutions

MATLAB: Distance between a point and elements of a matrix

This could be the solution

[ny,nx,nz]=size(M3D);
[xx,yy,zz] = meshgrid((1:nx)-x,(1:ny)-y,(1:nz)-z);
M3D_dist=sqrt(xx.^2 + yy.^2 + zz.^2);

MATLAB: Vectorising a Meshgrid Coordinate Construction

One way

[~,nx] = size(X_co);
[~,ny] = size(Y_co);
[m,nz] = size(Z_co);
[NX,NY,NZ] = meshgrid(1:nx,1:ny,1:nz);
sz = [size(NX),m];
% if you know nx, ny, nz are 2 you can replace the 5 above commands by
% [NX,NY,NZ] = meshgrid(1:2);
% sz = [2,2,2,m];
X_save = X_co.';
Y_save = Y_co.';
Z_save = Z_co.';
X_save = reshape(X_save(NX,:),sz);
Y_save = reshape(Y_save(NY,:),sz);
Z_save = reshape(Z_save(NZ,:),sz);

Note: I honestly prefer your for-loop if you add a preallocation

Best Answer

Related Solutions

MATLAB: Distance between a point and elements of a matrix

MATLAB: Vectorising a Meshgrid Coordinate Construction

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