Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1149162 | Journal of Statistical Planning and Inference | 2012 | 15 Pages |
Abstract
We investigate the optimal configurations of nn 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M. Ehler, K.A. Okoudjou,