If I want to solve an optimization problem and search for a rotation matrix, is there any advantage to represent the rotation matrix variable in $\mathrm{SU}(2)$ rather than $\mathrm{SO}(3)$?
Any intuitive explanation would be highly appreciated.
2026-04-06 19:00:13.1775502013
Is there any advantage to represent 3D rotations in $\mathrm{SU}(2)$ rather than $\mathrm{SO}(3)$?
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