How do I plot a 3D Box containing points?

I want to plot a 3D box, suppose [0,0,0] to [1,1,1] box boundary along X,Y,Z. Inside the box, I want to plot some number of points, say 10. these points must be inside the box. How can I do it in MATLAB? Please assist me. Thanks.

Answer 1

[Geoff Hayes]

Lamin - consider using plot3 to draw your box (and later, the 10 points). Draw the box in "parts" by defining the xy coordinates for the corners of the box, drawing a line from the origin (0,0) to (1,0) to (1,1) to (0,1) and back to origin. The X, Y, and Z vectors become

 X = [0;1;1;0;0];
 Y = [0;0;1;1;0];
 Z = [0;0;0;0;0];

 figure;
 hold on;
 plot3(X,Y,Z);   % draw a square in the xy plane with z = 0
 plot3(X,Y,Z+1); % draw a square in the xy plane with z = 1
 set(gca,'View',[-28,35]); % set the azimuth and elevation of the plot

Now connect the two squares

 for k=1:length(X)-1
     plot3([X(k);X(k)],[Y(k);Y(k)],[0;1]);
 end

Now use rand and scatter3 to generate 10 random points within the box (note that rand returns a pseudorandom scalar drawn from the standard uniform distribution on the open interval (0,1)).

 scatter3(rand(10,1),rand(10,1),rand(10,1),'g');

There are probably other ways to generate the same result with fewer lines of code.

[Ismet Ozturk]

thanks

[carlotta barbierato]

Hi! I'm interested in this code too. And how can I do if want to draw for each point of the x-axis and the y-axis, a point? (so not random)

thank you

[Geoff Hayes]

carlotta - if you know the positions for each of the points you want to draw within box, you should be able to use the above code and just replace the calls to rand with the known x, y, and z coordinates.

[carlotta barbierato]

ok, thank you!