MATLAB: Convert 3D matrix (X by Y by Z) into 2D (3 by (X+Y+Z))

MATLABmatrix manipulation

Hi,

I would be super grateful for some help in converting a 3D matrix (X by Y by Z) into 2D (3 by (X+Y+Z)). Basically I would like to get back the 3D positions of each grid points, where the first line (in the 2D matrix) is X, the second is Y and the third is Z.

For example: xgrid = 0:100:900; ygrid = -100:50:0; zgrid = -100:50:0; [Xgrid,Ygrid,Zgrid]=meshgrid(xgrid,ygrid,zgrid);

A(1,:) % X coordinates of points in the meshgrid A(2,:) % Y coordinates of points in the meshgrid A(3,:) % Z coordinates of points in the meshgrid

The order of points does not really metter. I tried to solve it with for loops but it is just time consuming.

Thank you for any help!

Best Answer

A = [Xgrid(:),Ygrid(:),Zgrid(:)].'

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MATLAB: Regridding 2D-grid shuffled points from 1-D arrays

A single SORTROWS command will undo the shuffle

xyz_grid = sortrows([x(:) y(:) z(:)],[1 2]);
ny = find(diff(xyz_grid(:,1)),1,'first');   % ==length(unique(y))
nx = numel(x)/ny;                           % ==length(unique(x))
xyz_grid = reshape(xyz_grid,[ny,nx,3]);
x_grid = xyz_grid(:,:,1);
y_grid = xyz_grid(:,:,2);
z_grid = xyz_grid(:,:,3);

MATLAB: Plot by equation.

x = linspace(1,10,15);
y = linspace(0.5,2,15);
k = linspace(1,10,15);
[X,Y,K] = meshgrid(x, y, k);
f = 8.854187817.*(X.*X.*K.^2)./(Y.*Y);

However, this is essentially 4D -- three input coordinates and one result. Even if you divide it up by k value, the result would be 3D for each k value, which would make it a bit difficult to plot everything at the same time. What kind of plots were you hoping for?

pointsize = 36;
scatter3(X(:),Y(:),K(:),pointsize,f(:))

slice(X,Y,K,f,[],[],k)

Best Answer

Related Solutions

MATLAB: Regridding 2D-grid shuffled points from 1-D arrays

MATLAB: Plot by equation.

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