Plot a 3d domain with colors determined by 3d array

I have 3 vectors: X(N), Y(N), Z(N) that define a space in 3D, let's call it D = [X(1),X(N)] x [Y(1),Y(N)] x [Z(1),Z(N)]. I have a matrix with values at each point in D, called out(N,N,N). How can I plot the space D as points with colors determined by the values given in out(N,N,N)?

[Cris LaPierre]

What type of 3D plot are you creating? Scatter? Line? Contour? Mesh? Surface?

[Michael Hennessey]

I'd be happy with either a scatter plot or a contour - whichever's easier really.

Answer 1

[Cris LaPierre]

I would use the following syntax for scatter3

scatter3(X,Y,Z,S,C)

Note that if C is a vector with length equal to the length of X, Y, and Z, then the values in C are linearly mapped to the colors in the current colormap.

Convert out into a vector using the colon operator: C = out(:);

To work, X, Y, and Z will have to be the same size as out. You can use meshgrid for that.

Here's a simple example. Note that the color of the markers has nothing to do with their x,y or z locations. It is coming from C.

X=1:5;
Y=11:15;
Z=0.1:0.1:0.5;
[x,y,z]=meshgrid(X,Y,Z);
% Create random values for the color
C = rand(size(x));

scatter3(x(:),y(:),z(:),[],C(:))
colorbar

[Michael Hennessey]

That works great! I was missing the meshgrid command in my previous attempts. Thank you!