Plot u=f(x,y,z) with all discrete data
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Hi all,
I have four columns of data namely cartesian coordinates (x,y,z) and a variable 'u'. All the four data are DISCRETE points. I want to create a 3D plot to visualise the contours of u using a colorbar. Can anyone help?
Thanks
Retam Paul
Accepted Answer
The (x,y,z) vector data must be converted into a 2D matrix by some sort of computational magic so the contour can be plotted.
One approach —
x = randi( 9,50,1);
y = randi(49,50,1);
z = randi(99,50,1);
u = @(x,y,z) exp(-(x-mean(x)).^2) + exp(-(y-mean(y)).^2) + exp(-(z-mean(z)).^2); % Create 'u(x,y,z)'
[X,Y,Z] = ndgrid(x, y, z); % Create Matrices From The Vectors
U = mean(u(X,Y,Z),3) % Eliminate One Dimension To Create 2D MAatrix
figure
contour(U)
colormap(turbo)
colorbar
Another approach would be to plot the contours of each ‘page’ of a 3D matrix in different figures.
How you accomplish this depends on what the vectors are and what you want to do with them.
.
More Answers (1)
Davide Masiello
on 13 Jan 2023
Edited: Davide Masiello
on 13 Jan 2023
x = rand(1,100);
y = rand(1,100);
z = rand(1,100);
u = rand(1,100);
scatter3(x,y,z,20,u,'filled')
colorbar
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