matlab - Find Overlapping Region between 3-Dimensional Shapes -


i'm plotting 2 separate 3-dimensional amorphous blobs overlap each other. have created blobs deforming unit circle (as can see in code provided below). question is: there easy way isolate overlapping region? need isolate overlapping region , color differently (as in turn region green, example) show overlap is. actual program has many shapes overlap, sake of simplicity, have produced following code illustrate trying do:

% create sphere 100 points n = 100;                 % sphere grid points [x,y,z] = sphere(n);     % x,y,z coordinates sphere num=size(x,1)*size(x,2); % total amount of x-coordinates (m*n)  % loop through every x-coordinate , apply scaling if applicable k=1:num              % loop through every coordinate    value=x(k);           % store original value of x(k) value    if value<0            % compare value 0       x(k)=0.3*value;    % if < 0, scale value    end end  % loop through every z-coordinate , apply scaling if applicable k=1:num              % loop through every coordinate    value=z(k);           % store original value of x(k) value    if value>0            % compare value 0       z(k)=0.3*value;    % if < 0, scale value    end end  mesh(x,y,z,'facecolor','y','edgecolor','y','facealpha',...     0.2,'edgealpha',0.2);  hold on mesh(-1*(x-1),y,z,'facecolor','r','edgecolor','r','facealpha',...     0.2,'edgealpha',0.2);  hold off axis equal 

i'm not necessarliy looking code, effective algorithm or process achieve desired results need adapt result more sophisticated program have.

maintain array (n-dimensional) of integers, draw objects, increment each corresponding point in array. when done, loop through array, , each element > 1 has overlap between 2 or more objects, use array coordinate color objects based on number of overlaps.


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