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

采纳的回答

Star Strider
Star Strider 2023-1-13
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
U = 50×50
2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0824 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0013 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.0000 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143 2.7143
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.
.

更多回答(1 个)

Davide Masiello
Davide Masiello 2023-1-13
编辑:Davide Masiello 2023-1-13
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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