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I have a rotation matrix let us say $R(t)$ and its quaternion $q(t)$. We know already how to convert a quaternion to rotation matrix. Now if I want find $\int R(t) \ dt \tag1 $ can we do that in quaternion domain somthing like $\int q(t) \ dt \tag 2$ and convert back to 3D matrix form. ? If not how?

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    $\begingroup$ It is rather odd as to why you need to integrate rotation matrix. Its not a matrix algebra and integration is meaningless. $\endgroup$ – Troy Woo Oct 4 '14 at 12:57
  • $\begingroup$ Come on.. I am currently working on such case..Rotation matrix represents orthogonal frames in curves and we can extract position vector by integration. $\endgroup$ – Nirvana Oct 4 '14 at 13:02
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    $\begingroup$ I think the answer is negative. Rotation matrix and quaternion have rather different interpolation properties. $\endgroup$ – Troy Woo Oct 4 '14 at 13:04

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