Visualizing Rotation

In general, $3 \times 3$ matrix has $9$ parameters, so it's hard to visualize a matrix as a point. However, the Lie group $SO(3)$ and $SU(2)$ are $3$-dimensional space, and it is able to visualize its element as a point in our $3$-dimensional space.

using MRP

(TBW)

using RodriguesParam

(TBW)

using RotationVec

(TBW)