Finding minimal parameterizations of cylindrical image manifolds

Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition

Volumn 2006, Issue , 2006, Pages

  Dixon, Michael ^a   Jacobs, Nathan ^a   Pless, Robert ^a  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HUMAN MOTION PATTERNS; MANIFOLD LEARNING; NON-CYCLIC PARAMETER; PARAMETERIZATION;

CARDIOLOGY; LEARNING SYSTEMS; MATHEMATICAL MODELS; MEDICAL IMAGING; PARAMETER ESTIMATION; PROBLEM SOLVING; ULTRASONICS;

IMAGE ANALYSIS;

EID: 33845546913     PISSN: 10636919     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CVPRW.2006.82     Document Type: Conference Paper

References (15)

1. M. Belkin and P. Niyogi. Laplacian eigenmaps and spectral techniques for embedding and clustering. In Advances in Neural Information Processing Systems, 2002.
2. D. L. Donoho and C. E. Grimes. Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data. PNAS, 100(10):5591-5596, 2003.
3. X. Gu and S. Yau. Surface classification using conformal structures, 2003.
4. X. Gu and S.-T. Yau. Global conformal surface parameterization. In SGP '03: Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing, pages 127-137, Aire-la-Ville, Switzerland, Switzerland, 2003. Eurographics Association.
5. A. Hyvärinen, J. Karhunen, and E. Oja. Independent Component Analysis. John Wiley and Sons, 2001.
6. I. T. Jolliffe. Principal Component Analysis. Springer-Verlag, 1986.
7. J. A. Lee and M. Verleysen. How to project 'circular' manifolds using geodesic distances? In Proceedings of European Symposium on Artificial Neural Networks, pages 223-230, April 2004.
8. J. A. Lee and M. Verleysen. Nonlinear dimensionality reduction of data manifolds with essential loops. Neurocomputing, 67:29-53, August 2005.
9. R. Pless and I. Simon. Embedding images in non-flat spaces. In Proc. of the International Conference on Imaging Science, Systems, and Technology, 2002.
10. S. T. Roweis and L. K. Saul. Nonlinear dimensionality reduction by locally linear embedding. Science, 290(5500):2323-2326, 2000.
11. R. Souvenir and R. Pless. Isomap and non-parametric models of image deformation. In IEEE Workshop on Motion and Video Computing (WACV/MOTION'05), volume 2, pages 195-200, 2005.
12. J. B. Tenenbaum, V. de Silva, and J. C. Langford. A global geometric framework for nonlinear dimensionality reduction. Science, 290(5500):2319-2323, 2000.
13. G. Tewari, C. Gotsman, and S. J. Gortler. Meshing genus-1 point clouds using discrete one-forms. Technical Report CS TR-14-05, Harvard University, June 2005.
14. K. Q. Weinberger and L. K. Saul. Unsupervised learning of image manifolds by semidefinite programming. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR-04), volume II, pages 988-995, Washington D.C., 2004.
15. H. Winnemöeller, A. Mohan, J. Tumblin, and B. Gooch. Light waving: Estimating light positions from photographs alone. Computer Graphics Forum, 24(3):433-438, 2005.