Fast image deconvolution using hyper-laplacian priors

Advances in Neural Information Processing Systems 22 - Proceedings of the 2009 Conference

Volumn , Issue , 2009, Pages 1033-1041

  Krishnan, Dilip ^a   Fergus, Rob ^a  

^a POLYTECHNIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER VISION; ITERATIVE METHODS; LAPLACE TRANSFORMS; LEAST SQUARES APPROXIMATIONS; POLYNOMIALS; TABLE LOOKUP;

DE-NOISING; DEBLURRING; DECONVOLUTION APPROACH; HEAVY-TAILED DISTRIBUTION; IMAGE DECONVOLUTION; LAPLACIANS; MEGAPIXELS; NATURAL SCENES; SPARSE DISTRIBUTION; SUPERRESOLUTION;

PIXELS;

EID: 84858712496     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (26)

1. R. Chartrand. Fast algorithms for nonconvex compressive sensing: Mri reconstruction from very few data. In IEEE International Symposium on Biomedical Imaging (ISBI), 2009.
2. R. Chartrand and V. Staneva. Restricted isometry properties and nonconvex compressive sensing. Inverse Problems, 24:1-14, 2008.
3. R. Fergus, B. Singh, A. Hertzmann, S. T. Roweis, and W. Freeman. Removing camera shake from a single photograph. ACM TOG (Proc. SIGGRAPH), 25:787-794, 2006.
4. D. Field. What is the goal of sensory coding? Neural Computation, 6:559-601, 1994.
5. D. Geman and G. Reynolds. Constrained restoration and recovery of discontinuities. PAMI, 14(3):367-383, 1992.
6. D. Geman and C. Yang. Nonlinear image recovery with half-quadratic regularization. PAMI, 4:932-946, 1995.
7. N. Joshi, L. Zitnick, R. Szeliski, and D. Kriegman. Image deblurring and denoising using color priors. In CVPR, 2009.
8. D. Krishnan and R. Fergus. Fast image deconvolution using hyper-laplacian priors, supplementary material. NYU Tech. Rep. 2009, 2009.
9. A. Levin. Blind motion deblurring using image statistics. In NIPS, 2006.
10. A. Levin, R. Fergus, F. Durand, and W. Freeman. Image and depth from a conventional camera with a coded aperture. ACM TOG (Proc. SIGGRAPH), 26(3):70, 2007.
11. A. Levin and Y. Weiss. User assisted separation of reflections from a single image using a sparsity prior. PAMI, 29(9):1647-1654, Sept 2007.
12. A. Levin, Y. Weiss, F. Durand, and W. T. Freeman. Understanding and evaluating blind decon-volution algorithms. In CVPR, 2009.
13. S. Osindero, M. Welling, and G. Hinton. Topographic product models applied to natural scene statistics. Neural Computation, 1995.
14. J. Portilla, V. Strela, M. J. Wainwright, and E. P. Simoncelli. Image denoising using a scale mixture of Gaussians in the wavelet domain. IEEE TIP, 12(11):1338-1351, November 2003.
15. W. Richardson. Bayesian-based iterative method of image restoration. 62:55-59, 1972.
16. S. Roth and M. J. Black. Fields of Experts: A Framework for Learning Image Priors. In CVPR, volume 2, pages 860-867, 2005.
17. L. Rudin, S. Osher, and E. Fatemi. Nonlinear total variation based noise removal algorithms. Physica D, 60:259-268, 1992.
18. E. Simoncelli and E. H. Adelson. Noise removal via bayesian wavelet coring. In ICIP, pages 379-382, 1996.
19. C. V. Stewart. Robust parameter estimation in computer vision. SIAM Reviews, 41(3):513-537, Sept. 1999.
20. M. F. Tappen, B. C. Russell, and W. T. Freeman. Exploiting the sparse derivative prior for super-resolution and image demosaicing. In SCTV, 2003.
21. M. Wainwright and S. Simoncelli. Scale mixtures of gaussians and teh statistics of natural images. In NIPS, pages 855-861, 1999.
22. Y. Wang, J. Yang, W. Yin, and Y. Zhang. A new alternating minimization algorithm for total variation image reconstruction. SIAM J. Imaging Sciences, 1(3):248-272, 2008.
23. E. W. Weisstein. Cubic formula. http://mathworld.wolfram.com/ CubicFormula.html.
24. E. W. Weisstein. Quartic equation. http://mathworld.wolfram.com/ QuarticEquation.html.
25. M. Welling, G. Hinton, and S. Osindero. Learning sparse topographic representations with products of student-t distributions. In NIPS, 2002.
26. S. Wright, R. Nowak, and M. Figueredo. Sparse reconstruction by separable approximation. IEEE Trans. Signal Processing, page To appear, 2009.