… quaternion Gaussian distribution on the unit hypersphere,[4] provides an approach to computing
the average quaternion by minimizing a quaternion … an optimal average quaternion from …

… of the average quaternion is shown here. It is assumed there is a reference frame in which
every quaternion estimate qi differs from the identity quaternion … that the average quaternion q …

… of the average quaternion is shown here. It is assumed there is a reference frame in which
every quaternion estimate qi differs from the identity quaternion … that the average quaternion q …

… really want to average attitudes rather than quaternions [10] … optimal average quaternion
from a set of weighted quaternions. In … the mean quaternion of the propagated quaternion sigma …

… As derived, both averaging quaternions and rotation matrices can be seen as approximations
to … be derived from a quaternion contains the elements of the quaternion quadratically. This …

… of the Cardan angles determined from the noisy matrices, 2) computing the average of the
quaternions determined from the noisy matrices, and 3) computing an average quaternion as …

… their method with the linear quaternion method. This approach to averaging using the
chordal metric has similar problems as linear quaternion averaging. The obtained result is not …

… In SO(3) this can be done by rotation matrices or quaternions. Clifford algebra as a
generalization of quaternions allows a general treatment of such approximated averaging for all …

… The main topics of this technical report are quaternions, their … quaternion mathematics and
discuss why quaternions are a … sive treatment of quaternions, rotation with quaternions, and …

… Inspired by the recent works on geometric averaging of (… of nonzero quaternion Lp geometric
weighting averaging working … computing the logarithm of quaternions which maps them to …