Minimization of the Probabilistic p-frame Potential

Details Minimization of the Probabilistic p-frame Potential Minimization of the Probabilistic p-frame Potential

2010-12-30

arxiv.org/abs/1101.0140v2

Mathematics

Functional Analysis

Scientific paper

We investigate the optimal configurations of n points on the unit sphere for a class of potential functions. In particular, we characterize these optimal configurations in terms of their approximation properties within frame theory. Furthermore, we consider similar optimal configurations in terms of random distributions of points on the sphere. In this probabilistic setting, we characterize these optimal distributions by means of special classes of probabilistic frames. Our work also indicates some connections between statistical shape analysis and frame theory.

Affiliated with

Also associated with

No associations

Rating

Minimization of the Probabilistic p-frame Potential does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Minimization of the Probabilistic p-frame Potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minimization of the Probabilistic p-frame Potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-401457