Hi all,
I am working on a python script to rotate a slice in the x-y-plane and
can't find a way to compute the parameters for the Transform filter.
The slice is computed by a script and is defined by the origin and the
normal. It looks like this:
https://www.pic-upload.de/view-33136320/slice.png.html
The origin is (12.65, 10.55, 3.0)
The normal is (9.28454496846, -68.7942219477, 21.4027743404)
or (0.127811549959, -0.947024993173, 0.294631753216) if it is normalized.
Now I want to rotate the slice in the x-y-Plane, so that the normal of
the rotated slice points in z-direction.
I tried to rotate the normal-vector with the rotation matrices (
https://en.wikipedia.org/wiki/Rotation_matrix ), but it does not work.
The computed vector shows somewhere, but not in z-direction, when I
set it in the Transform filter.
The right rotation input for the transform filter is approximately
(-71, -19, 0) but I have no idea, how to get there by computation. The
angle of the normal with the x-axis is about 82 degrees, with the
y-axis about 161 degrees. I computed rotation_matrix_X and
rotation_matrix_Y with the angles and multiplied:
rotated_normal = rotation_matrix_X * normal
rotated_normal = rotation_matrix_Y * rotated_normal
The result is (-30, -30, 59) which is far away from (-71, -19, 0).
What is the right way to compute the rotation parameters of the
Transform filter out of the data of the Slice filter (Origin and
Normal)?
Best Regards
Alexander
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