Image Manifolds which are Isometric to Euclidean Space

Author:

Donoho David L.,Grimes Carrie

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Computer Vision and Pattern Recognition,Condensed Matter Physics,Modeling and Simulation,Statistics and Probability

Reference10 articles.

1. P.N. Belhumeur and D.J. Kriegman, ?What is the set of images of an object under all possible illumination conditions?? International Journal of Computer Vision, Vol. 28, No. 3, pp. 1?16, 1998.

2. T.F. Cox and M.A.A. Cox, Multidimensional Scaling, Chapman, Hall, 1994.

3. D.L. Donoho and C. Grimes, ?When does Isomap recover the true parametrization of manifolds of articulated images?? Department of Statistics, Stanford University, Technical Report TR2002-27, 2002.

4. D. Donoho and C. Grimes, ?Hessian Eigenmaps: Locally linear embedding techniques for high-dimensional data,? Proceedings of the National Academy of Sciences, Vol. 100, No. 10, pp. 5591?5596, 2003.

5. A. Gray, Tubes, Addison-Wesley, 1990.

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