Applying 3d transformation to cuboid
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I have the 8 vertices of a cuboid (XYZvox) with known distance in millimetres (vox to mm) between each vertex which I transform in 3d space using the following 4d transformation matrix (M). I am really struggling to work out the new voxel to millimetre conversion for the transformed vertices. How can I work this out?
XYZvox =[ 1 1 1 1 409 409 409 409 1 1 389 389 1 1 389 389 1 162 1 162 1 162 1 162]
M =[0.0337 0.0958 -0.9616 -2.5360 0.3706 0.0107 0.1012 -150.2009 0.0201 -0.3571 -0.2550 -231.0513 0 0 0 1.0000]
for i=1:8
poi1=XYZvox(:,i); poi2=[XYZvox(:,i)]; poi2(4,1)=1;
poi_trans=M*poi2;
poi_trans=poi_trans(1:3);
scatter3(poi1(1),poi1(2),poi1(3),'red','filled'); xlabel('x'); hold all; scatter3(poi_trans(1),poi_trans(2),poi_trans(3),'green','filled'); xlabel('x'); ylabel('y'); zlabel('z');
end
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