University of Georgia
Mathematics Department Colloquium
Julie Mitchell
Assistant Principal Scientist
San Diego Supercomputer
Center (UCSD)
December 2, 2002 (Monday), 2:30 pm
Generating rotation sets that are uniform
with respect to the Haar measure on SO(3)
Abstract: For certain applications, particularly
in crystallography, it is desirable to have a uniformly distributed
set of 3D rotations. However, there are mathematical obstacles to
constructing a perfectly uniform sample of the special orthogonal
group, SO(3). The talk will compare three distinct methods for
generating subsets of SO(3) that are approximately uniform with
respect to its Haar measure.