I have a cylinder axis expressed in the form of 3 Direction Cosine. I need to convert it into a full $3 \times 3$ rotation matrix in order to display it with an openGL software. Could anybody provide a pointer on this topic ?
Thanks in advance.
Direction Cosine axis to $3 \times 3$ rotation matrix
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$\begingroup$
linear-algebra
rotations
computational-geometry
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0Do these direction cosines specify the cylinder’s axis? Are you trying to rotate this axis to a different position? – 2017-01-26
1 Answers
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You can use Rodrigues' rotation formula. The $\mathbf k$ in this context is the vector whose components are your direction cosines.
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0thanks! And what about the $\Theta$ angle in this case ? – 2017-01-26
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0@OrP It's the angle of rotation about your axis $\mathbf k$ – 2017-01-26
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0Hmm... I suspect the OP is looking to rotate the axis of the cylinder, not rotate around the cylinder’s axis. I’ve asked for clarification. – 2017-01-26
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0@amd oh! I hope he responds – 2017-01-26