Abstract | ||
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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 Said | 1 | 59 | 12.54 |
Nicolas Courty | 2 | 420 | 44.55 |
Nicolas Le Bihan | 3 | 254 | 23.35 |
Stephen J. Sangwine | 4 | 130 | 19.63 |