Identify nodes which lie within a range of 3D volumes

I have tagged multiple different regions of a 3d plot which I want to look at data for as demonstrated by the shaded cuboids on the figure below. I then have a range of random xyz coordinates and want to identify which nodes lie within any of the boxed regions which I’ve identified. I have the vertices for each of the regions saved in an 8x3x31 double and a random dataset of xyz nodes saved as xrand, yrand and zrand to be checked.

I want to create a separate dataset containing only the nodes within the boxed regions. Any guidance would be great!

[darova]

Hi! The data you attached contains Vertices of size 8x8x31

How to define x,y,z of cuboids?

Is the question still actual?

Answer 1

[Fabio Freschi]

Try this

% preallocation
idx = cell(size(Vertices,3),1);

% for each box
for i = 1:size(Vertices,3)
    % find box min and max
    minV = min(Vertices(:,:,i));
    maxV = max(Vertices(:,:,i));
    
    % find points in box
    idx{i} = find(xrand >= minV(1) & xrand <= maxV(1) & ...  % points within x range
        yrand >= minV(2) & yrand <= maxV(2) & ...            % points within y range
        zrand >= minV(3) & zrand <= maxV(3));                % points within z range
end