Mityushov E.A., Kopytov N.P.. Uniform discrete distribution on So(3) group

Natural Sciences / Mathematics / Geometry

Submitted on: Jan 24, 2017, 13:35:34

Description: The constructive solution of the problem of homogeneous samples generation on the rotation group SO(3) is presented. The existence of only five uniformly distributed on SO(3) group homogenous samples is proved. For obtained samples graphs are constructed, which connect the elements of the group by the shortest route.

The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.

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Uniform discrete distribution on SO(3) group.pdf