Horizontal dimensionality reduction and iterated frame bundle development

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 8085 LNCS, Issue , 2013, Pages 76-83

  Sommer, Stefan ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

COMPONENT ANALYSIS; DIMENSIONALITY REDUCTION; EUCLIDEAN; FRAME BUNDLES; LOW-DIMENSIONAL SUBSPACE; MULTIMODAL DISTRIBUTIONS; ORTHOGONAL COMPONENTS; RIEMANNIAN MANIFOLD;

RANDOM PROCESSES; VECTORS;

INFORMATION SCIENCE;

EID: 84884968986     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-40020-9_7     Document Type: Conference Paper

References (6)

1. Huckemann, S., Hotz, T., Munk, A.: Intrinsic shape analysis: Geodesic PCA for riemannian manifolds modulo isometric lie group actions. Statistica Sinica 20(1), 1-100 (2010)
2. Fletcher, P., Lu, C., Pizer, S., Joshi, S.: Principal geodesic analysis for the study of nonlinear statistics of shape. IEEE Transactions on Medical Imaging (2004)
3. Sommer, S., Lauze, F., Nielsen, M.: Optimization over geodesics for exact principal geodesic analysis. Advances in Computational Mathematics (in press, 2013)
4. Hsu, E.P.: Stochastic Analysis on Manifolds. American Mathematical Soc. (2002)
5. Leite, F.S., Krakowski, K.A.: Covariant differentiation under rolling maps (2008)
6. Hinkle, J., Muralidharan, P., Fletcher, P.T., Joshi, S.: Polynomial regression on riemannian manifolds. In: Fitzgibbon, A., Lazebnik, S., Perona, P., Sato, Y., Schmid, C. (eds.) ECCV 2012, Part III. LNCS, vol. 7574, pp. 1-14. Springer, Heidelberg (2012)