RELATED PUBLICATIONS
Inpainting
- Andrea Bertozzi, Selim Esedoglu, and Alan Gillette.
Inpainting
of Binary Images Using the Cahn-Hilliard Equation IEEE Transactions on Image Processing, January 2007.
- Andrea Bertozzi, Selim Esedoglu, and Alan Gillette.
Analysis
of a Two-Scale Cahn-Hilliard Model for Image Inpainting. UCLA CAM Report, May 2006.
- Alan Gillette. Image Inpainting
Using a Modified Cahn-Hilliard Equation. PhD Thesis, UCLA, December 2006.
- Marcelo Bertalmio, Andrea Bertozzi, and Guillermo Sapiro.
Navier-Stokes, Fluid Dynamics and Image and Video Inpainting. CVPR 2000.
- Ivars Peterson. Filling in the blanks: Automating
the restoration of a picture's missing pieces. Science News, May 2002.
Denoising and Deblurring
Segmentation and Classification
Dimension Reduction
- Resources: Manifold Learning Resource Site
- ISOMAP: J.B. Tenenbaum, V. de Silva and J. C. Langford.
A
global geometric framework for nonlinear dimensionality reduction.
Science, vol. 290, pp. 2319--2323, 2000.
- LLE: L. K. Saul and S. T. Roweis. Think Globally, Fit Locally: Unsupervised Learning of Low Dimensional Manifolds.
Journal of Machine Learning Research, v4, pp. 119-155, 2003.
- Hessian LLE: D. L. Donoho and C. Grimes.
Hessian Eigenmaps: new locally linear embedding techniques for high-dimensional data. Technical Report TR-2003-08, Department of Statistics, Stanford University, 2003.
- Laplacian Eigenmaps: M. Belkin, P. Niyogi,
Laplacian Eigenmaps for Dimensionality Reduction and Data Representation, Neural Computation, June 2003; 15 (6):1373-1396.
- Diffusion Maps: Nadler, Lafon, Coifman, and Kevrekidis. Diffusion maps,
spectral clustering and reaction coordinates of dynamical systems
- LTSA: Zhenyue Zhang and Hongyuan Zha.
Principal Manifolds and Nonlinear Dimension Reduction via Tangent Space Alignment.
SIAM Journal of Scientific Computing, 2004, 26 (1): 313-338.
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