Robust image deblurring with an inaccurate blur kernel

IEEE Transactions on Image Processing

Volumn 21, Issue 4, 2012, Pages 1624-1634

  Ji, Hui ^a   Wang, Kang ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

1 norm minimization; Accelerated proximal gradient (APG) method; image deconvolution; wavelet tight frame

Indexed keywords

ACCELERATED PROXIMAL GRADIENT (APG) METHOD; BOUNDARY EXTENSIONS; CONVEX MINIMIZATION; IMAGE DEBLURRING; IMAGE DECONVOLUTION; IMAGE NOISE; MINIMIZATION PROBLEMS; MODEL ERRORS; MOTION BLURRING; NONUNIFORM; REAL IMAGES; TIGHT FRAME;

GRADIENT METHODS;

IMAGE ENHANCEMENT;

ALGORITHM; ARTICLE; ARTIFACT; AUTOMATED PATTERN RECOGNITION; COMPUTER ASSISTED DIAGNOSIS; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY;

ALGORITHMS; ARTIFACTS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 84859083930     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2011.2171699     Document Type: Article

References (38)

1. N. Joshi, R. Szeliski, and D. Kriegman, "PSF estimation using sharp edge prediction," in Proc. CVPR, 2008, pp. 1-8.
2. A. Levin, Y. Weiss, F. Durand, and W. T. Freeman, Understanding and evaluating blind deconvolution algorithms MIT, Cambridge, MA, Tech. Rep. MIT-CSAIL-TR-2009-014, 2009.
3. Y. Tai, H. Du, M. Brown, and S. Lin, "Correction of spatially varying image and video blur using a hybrid camera," IEEE Trans. Pattern Anal. Mach. Intell., vol. 32, no. 6, pp. 1012-1028, Jun. 2010.
4. M. Ben-Ezra and S. K. Nayar, "Motion-based motion deblurring," IEEE Trans. Pattern Anal. Mach. Intell., vol. 26, no. 6, pp. 689-698, Jun. 2004.
5. R. Raskar, A. Agrawal, and J. Tumblin, "Coded exposure photography: Motion deblurring via fluttered shutter," in Proc. SIGGRAPH, 2006, vol. 25, pp. 795-804. (Pubitemid 44481041)
6. Y. Tai, H. Du, M. Brown, and S. Lin, "Image/video deblurring using hybrid camera" in Proc. CVPR 2008 pp. 1-8.
7. A. Rav-Acha and S. Peleg, "Two motion blurred images are better than one," Pattern Recognit. Lett., vol. 26, no. 3, pp. 311-317, Feb. 2005. (Pubitemid 40120813)
8. L. Yuan, J. Sun, L. Quan, and H. Shum, "Blurred/non-blurred image alignment using an image sequence," in Proc. SIGGRAPH, 2007, pp. 1-8.
9. Q. Shan, J. Jia, and A. Agarwala, "High-quality motion deblurring from a single image," in Proc. SIGGRAPH, 2008, p. 73.
10. J.-F. Cai, H. Ji, C. Liu, and Z. Shen, "Blind motion deblurring from single image using sparse approximation" in Proc. CVPR 2009 pp. 104-111.
11. A. Levin, F. Durang, Y. Fredo, and W. T. Freeman, "Understanding and evaluating blind deconvolution algorithms," in Proc. CVPR, 2009, pp. 1964-1971.
12. A. Levin, P. Sand, T. S. Cho, F. Durand, and W. T. Freeman, "Motion invariant photography," ACM Trans. Graph., vol. 27, no. 3, p. 71, Aug. 2008.
13. A. K. Jain, Fundamentals of digital image processing. Upper Saddle River, NJ: Prentice-Hall, 1989.
14. W. H. Richardson, "Bayesian-based iterative method of image restoration," J. Opt. Soc. Amer., vol. 62, no. 1, pp. 55-59, Jan. 1972.
15. L. B. Lucy, "An iteractive technique for the rectification of observed distributions," Astronom. J., vol. 79, no. 6, pp. 745-754, Jun. 1974.
16. Y. Tai, P. Tan, and M. Brown, "Richardson-Lucy deblurring for scenes under projective motion path," IEEE Pattern Anal. Mach. Intell., vol. 33, no. 8, pp. 1603-1618, Aug. 2011.
17. A. N. Tikhonov, V. Y. Arsenin, and F. John, Solution of ill-posed problems. Washinton, DC: V. H. Winston & Sons, 1977.
18. T. F. Chan and C. K. Wong, "Total variation blind deconvolution," IEEE Tran. Image Process., vol. 7, no. 3, pp. 370-375, Mar. 1998. (Pubitemid 128745355)
19. T. Chan, A. Marquina, and P. Mulet, "High-order total variation-based image restoration," SIAM J. Sci. Comput., vol. 22, no. 2, pp. 503-516, 2000.
20. N. Dey, L. Blanc-Fraud, C. Zimmer, Z. Kam, P. Roux, J. Olivo-Marin, and J. Zerubia, "A deconvolution method for confocal microscopy with total variation regularization," in Proc. IEEE Int. Symp. Biomed. Imaging: Nano Macro, 2004, pp. 1223-1226. (Pubitemid 40514164)
21. T. F. Chan and J. Shen, Image Processing and Analysis: Variational, PDE, wavelet, and stochastic methods. Philadelphia, PA: SIAM, 2005.
22. R. Fergus, B. Singh, A. Hertzmann, S. T. Roweis, and W. T. Freeman, "Removing camera shake from a single photograph," in Proc. SIGGRAPH, 2006, vol. 25, pp. 787-794. (Pubitemid 44481040)
23. M. Nikolova, "Local strong homogeneity of a regularized estimator," SIAM J. Appl. Math., vol. 61, no. 2, pp. 633-658, 2000.
24. S. Mallat, AWavelet Tour of Signal Processing. San Diego, CA: Academic, 1999.
25. J. Cai and Z. Shen, "Framelet based deconvolution," J. Comp. Math., vol. 28, pp. 1-18, 2008.
26. J.-F. Cai, S. Osher, and Z. Shen, "Linearized Bregman iterations for frame-based image deblurring," SIAM J. Imag. Sci., vol. 2, no. 1, pp. 226-252, Jan. 2009.
27. S. Cho, J. Wang, and S. Lee, "Handling outliers in non-blind image deconvolution," in Proc. IEEE ICCV, 2011, pp. 1-8.
28. R. Chan, M. Ng, and W. Tang, "A fast algorithm for deblurring models with Neumann boundary conditions," SIAM J. Sci. Comput., vol. 21, no. 3, pp. 851-866, Nov./Dec. 1999.
29. J.-F. Cai, R. Chan, and Z. Shen, "A framelet-based image inpainting algorithm," Appl. Comput. Harmon. Anal., vol. 24, no. 2, pp. 131-149, Mar. 2008. (Pubitemid 351215929)
30. J.-F. Cai, S. Osher, and Z. Shen, "Split Bregman methods and frame based image restoration," Multiscale Model. Simul.-SIAM Interdiscip. J., vol. 8, no. 2, pp. 337-369, 2009.
31. I. Daubechies, B. Han, A. Ron, and Z. Shen, "Framelets: MRA-based constructions of wavelet frames," Appl. Comput. Harmon. Anal., vol. 14, no. 1, pp. 1-46, 2003.
32. Z. Shen, "Wavelet frames and image restorations," in Proc. Int. Congr. Math., 2010, vol. 4, pp. 2834-2863.
33. A. Beck and M. Teboulle, "A fast iterative shrinkage-thresholding algorithm for linear inverse problems," SIAM J. Imag. Sci., vol. 2, no. 1, pp. 183-202, Jan. 2009.
34. Z. Shen, K. Toh, and S. Yun, "An accelerated proximal gradient algorithm for frame based image restorations via the balanced approach," SIAM J. Imag. Sci., vol. 4, no. 2, pp. 573-596, 2011.
35. W. H. Richardson, "Bayesian-based iterative method of image restoration," J. Opt. Soc. Amer., vol. 62, no. 1, pp. 55-59, Jan. 1972.
36. Wu C. and X. Tai, "Augmented Lagrangian method, dual methods, and split Bregman iteration for ROF, vectorial TV, and high order models," SIAM J. Imag. Sci., vol. 3, no. 3, pp. 300-339, Jul. 2010.
37. L. Xu and J. Jia, "Two-phase kernel estimation for robust motion deblurring," in Proc. ECCV, 2010, pp. 157-170.
38. A. Gupta, C. L. Zitnick, and M. Cohen, "Single image deblurring using motion density functions," in Proc. ECCV, 2010, pp. 171-184.