pytransform3d.rotations.quaternion_dist

pytransform3d.rotations.quaternion_dist(q1, q2)

Compute distance between two quaternions.

We use the angular metric of \(S^3\), which is defined as

\[d(q_1, q_2) = \min(|| \log(q_1 * \overline{q_2})||, 2 \pi - || \log(q_1 * \overline{q_2})||)\]

Parameters:

q1array-like, shape (4,)

First quaternion

q2array-like, shape (4,)

Second quaternion

Returns:

distfloat

Distance between q1 and q2