3-D geometric transformation of a matrix of 3-D points
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Andrea Alberti
on 5 Oct 2015
Commented: Andrea Alberti
on 5 Oct 2015
I have a set of nine 3-D points, with the following form:
e = 0.2;
points3d = [-e -e 0
-e 0 0
-e e 0
0 -e 0
0 0 0
0 e 0
e -e 0
e 0 0
e e 0]';
I would like to apply a 3-D geometric transformation to this set of nine 3d points, so that they are rotated and translated to a random position. What is the easiest way to do this?
Thanks.
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Accepted Answer
Mike Garrity
on 5 Oct 2015
Probably the simplest is something like this:
mat = makehgtform('axisrotate',[1 1 1],pi/5, 'translate',[1 2 3]);
newpts = mat * [points3d; ones(1,9)];
See this blog post for background. The examples in that post are mostly 2D to keep things compact, but the theory is the same in 3D.
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