DocumentCode
706160
Title
Exact Principal Geodesic Analysis for data on SO(3)
Author
Said, Salem ; Courty, Nicolas ; Le Bihan, Nicolas ; Sangwine, Stephen J.
Author_Institution
Dept. Images & Signal, GIPSA-Lab., Grenoble, France
fYear
2007
fDate
3-7 Sept. 2007
Firstpage
1701
Lastpage
1705
Abstract
PGA, or Principal Geodesic Analysis, is an extension of the classical PCA (Principal Component Analysis) to the case of data taking values on a Riemannian manifold. In this paper a new and original algorithm, for the exact computation of the PGA of data on the rotation group SO(3), is presented. Some properties of this algorithm are illustrated, with tests on simulated and real data, and its possible applications are finally discussed.
Keywords
differential geometry; principal component analysis; PCA; PGA; Riemannian manifold; exact principal geodesic analysis; principal component analysis; rotation group SO(3); Convergence; Electronics packaging; Gaussian distribution; Manifolds; Principal component analysis; Quaternions; Signal processing algorithms;
fLanguage
English
Publisher
ieee
Conference_Titel
Signal Processing Conference, 2007 15th European
Conference_Location
Poznan
Print_ISBN
978-839-2134-04-6
Type
conf
Filename
7099097
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