2D Histograms in Planes XZ, YZ

Hello, I am trying to get a representation similar to the one attached to this message. That is to say, I would like to represent two 2D-histogram, one in the plane XZ and the other in the plane YZ. In X and Y, the magnitude to be displayed is the same, but the thing is that the Z-axis is different. As I want to make the representation clearer, I would add additional information in the plane Z=0, that is the reason for which I have not used the 2D-histogram with two different Y-axes. It would be very nice if you could help me to solve this. Thanks in advance, Manuel.

Answer 1

[Bjorn Gustavsson]

OK, here's a simple example where you plot a few pieces together...

% First some "test-data":
x = randn(500,1);
x = x-min(x)+0.5;
y = randn(500,1);
y = y-min(y)+0.5;
y = y.^1.5+1*x;  
z = exp(-abs(2*x-y)/4); % Just to get something similar to the figure linked to in your reference 
[Nx,xH] = hist(x,9);  % Histogram of X-values
[Ny,yH] = hist(y,11); % and Y
dX = gradient(xH);    % Spacing between histogram bin centres   
dY = gradient(yH); 
%%Plot stuff...
scatter3(x,y,z,15,z,'filled') % The points
for i1 = 1:length(xH), % And the X-histogram bars
  pHmyX(i1) = patch(xH(i1)+dX(i1)*[-1 1 1 -1 -1]/2,...
                    [0 0 0 0 0],...
                    [0 0 Nx(i1)*[1 1] 0],rand(1,3));         
end
for i1 = 1:length(yH),
  pHmyY(i1) = patch([0 0 0 0 0],...
                    yH(i1)+dY(i1)*0.9*[-1 1 1 -1 -1]/2,...
                    [0 0 Ny(i1)*[1 1] 0],rand(1,3));            
end

You should be able to modify and extend that to suit your needs.

HTH

Answer 2

[Manuel]

Sorry. The plot appears in this link:

http://www.mathworks.com/matlabcentral/answers/25879

Answer 3

[Bjorn Gustavsson]

Well, have you tried what Walter suggested in his reply in the thread you linked to? Should work, then with the 2 histograms in the XZ and YZ planes you can continue to plot whatever you wanted...

HTH

[Manuel]

Thank you for your answer, Bjorn. Yes, I have tried to do what Walter proposed, but I am quite new in Matlab and I am having some problems facing this. I think that any simple code as example would help me a lot to see what Walter suggests in his answer.

Answer 4

[Manuel]

Thank you very much, Bjorn.

Answer 5

[Manuel]

As an alternative to what Bjorn has proposed, I would like to say that I got something similar to this using the command "fill3(X,Y,Z,COLOR)" and defining previously in X, Y and Z the coordinates of the bars (so, if I want to project the histogram in the plane XZ, the only thing I have to do is defining always Y=0). In my case, I projected two histograms using this "fill3" function, and then I plotted a 3-D bar graph with the colormap using "bar3color" (instead of a scatter plot, as in the previous example). Regards.