Title
EXACT PRINCIPAL GEODESIC ANALYSIS FOR DATA ON SO(3)
Abstract
PGA, or Principal Geodesic Analysis, is an extension of the classi- cal PCA (Principal Component Analysis) to the case of data taking values on a Riemannian manifold. In this paper a new and origi- nal algorithm, for the exact computation of the PGA of data on the rotation group SO(3), is presented. Some properties of this algo- rithm are illustrated, with tests on simulated and real data, and its possible applications are finally discussed.
Year
Venue
Field
2007
European Signal Processing Conference
Convergence (routing),Applied mathematics,Combinatorics,Riemannian manifold,Quaternion,Principal geodesic analysis,Rotation group SO,Principal component analysis,Mathematics,Manifold,Computation
DocType
ISBN
Citations 
Conference
978-839-2134-04-6
10
PageRank 
References 
Authors
0.69
6
4
Name
Order
Citations
PageRank
Salem Said15912.54
Nicolas Courty242044.55
Nicolas Le Bihan325423.35
Stephen J. Sangwine413019.63