Patch reprojections for Non-Local methods

Signal Processing

Volumn 92, Issue 2, 2012, Pages 477-489

  Salmon, Joseph ^a   Strozecki, Yann ^b  

^a UNIVERSITÉ PARIS DESCARTES   (France)

^b INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

Image denoising; Image edge analysis; Image restoration; Non Local Means; Statistics

Indexed keywords

IMAGE DE-NOISING; IMAGE EDGE ANALYSIS; NATURAL IMAGES; NL-MEANS; NOISE ARTIFACTS; NON-LOCAL MEANS; NONLOCAL; RE-PROJECTION; WAVELET-BASED APPROACH;

IMAGE RECONSTRUCTION; NOISE POLLUTION CONTROL; VARIATIONAL TECHNIQUES; WAVELET ANALYSIS;

EDGE DETECTION;

EID: 80054733560     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2011.08.011     Document Type: Article

References (52)

1. A.A. Efros, and T. Leung Texture synthesis by non-parametric sampling ICCV 1999 1033 1038 (Pubitemid 32079980)
2. A. Criminisi, P. Pérez, and K. Toyama Region filling and object removal by exemplar-based image inpainting IEEE Transactions on Image Processing 13 9 2004 1200 1212
3. A. Buades, B. Coll, and J.-M. Morel A review of image denoising algorithms, with a new one Multiscale Modelling & Simulation 4 2 2005 490 530 (Pubitemid 43890582)
4. A. Buades, Image and movie denoising by non local means, PhD Thesis, Universitat de les Illes Balears, 2006.
5. A. Buades, B. Coll, and J.-M. Morel Nonlocal image and movie denoising International Journal of Computer Vision 76 2 2008 123 139
6. S.P. Awate, R.T. Whitaker Unsupervised Unsupervised, information- theoretic, adaptive image filtering for image restoration IEEE Transactions on Pattern Analysis and Machine Intelligence 28 3 2006 364 376 (Pubitemid 43159633)
7. C. Kervrann, and J. Boulanger Optimal spatial adaptation for patch-based image denoising IEEE Transactions on Image Processing 15 10 2006 2866 2878 (Pubitemid 44473632)
8. J. Boulanger, C. Kervrann, P. Bouthemy, P. Elbau, J.-B. Sibarita, and J. Salamero Patch-based nonlocal functional for denoising fluorescence microscopy image sequences IEEE Transactions on Medical Imaging 29 2 2010 442 454
9. D.L. Donoho, and I.M. Johnstone Ideal spatial adaptation by wavelet shrinkage Biometrika 81 3 1994 425 455
10. J. Portilla, V. Strela, M. Wainwright, and E.P. Simoncelli Image denoising using scale mixtures of Gaussians in the wavelet domain IEEE Transactions on Image Processing 12 11 2003 1338 1351
11. J.-L. Starck, E.J. Candès, and D.L. Donoho The curvelet transform for image denoising IEEE Transactions on Image Processing 11 6 2002 670 684 (Pubitemid 34814390)
12. E. Le Pennec, and S. Mallat Sparse geometric image representations with bandelets IEEE Transactions on Image Processing 14 4 2005 423 438 (Pubitemid 40552380)
13. P. Perona, and J. Malik Scale space and edge detection using anisotropic diffusion IEEE Transactions on Pattern Analysis and Machine Intelligence 12 1990 629 639 (Pubitemid 20726016)
14. G. Sapiro Geometric Partial Differential Equations and Image Analysis 2001 Cambridge University Press
15. S. Mallat A Wavelet Tour of Signal Processing 2009 Elsevier/Academic Press Amsterdam the sparse way, With contributions from Gabriel Peyré, 2009
16. K. Dabov, A. Foi, V. Katkovnik, and K.O. Egiazarian Image denoising by sparse 3-D transform-domain collaborative filtering IEEE Transactions on Image Processing 16 8 2007 2080 2095 (Pubitemid 47225460)
17. J. Mairal, F. Bach, J. Ponce, G. Sapiro, and A. Zisserman Non-local sparse models for image restoration ICCV 2009 2272 2279
18. S.S. Chen, and D.L. Donoho Atomic decomposition by basis pursuit SPIE 1995
19. R. Tibshirani Regression shrinkage and selection via the lasso Journal of the Royal Statistical Society Series B 58 1 1996 267 288
20. S.S. Chen, D.L. Donoho, and M.A. Saunders Atomic decomposition by basis pursuit SIAM Journal on Scientific Computing 20 1 1998 33 61 (electronic), ISSN 1064-8275 (Pubitemid 128689501)
21. B. Goossens, H.Q. Luong, A. Pizurica, and W. Philips An improved non-local denoising algorithm LNLA 2008 143 156
22. C.-A. Deledalle, V. Duval, and J. Salmon Non-local methods with shape-adaptive patches (NLM-SAP) Journal of Mathematical Imaging and Vision 1 2011 1 18
23. C.-A. Deledalle, V. Duval, and J. Salmon Anisotropic non-local means with spatially adaptive patch shapes SSVM 2011
24. J. Salmon, and Y. Strozecki From patches to pixels in non-local methods: weighted-average reprojection ICIP 2010 1929 1932
25. J. Polzehl, and V.G. Spokoiny Image denoising: pointwise adaptive approach Annals of Statistics 31 1 2003 30 57
26. C. Tomasi, and R. Manduchi Bilateral filtering for gray and color images ICCV 1998 839 846
27. L.P. Yaroslavsky Digital picture processing Springer Series in Information Sciences vol. 9 1985 Springer-Verlag Berlin
28. N. Azzabou, N. Paragios, and F. Guichard Image denoising based on adapted dictionary computation ICIP 2007 109 112
29. T. Tasdizen Principal components for non-local means image denoising ICIP 2008 1728 1731
30. J. Orchard, M. Ebrahimi, and A. Wong Efficient nonlocal-means denoising using the SVD ICIP 2008 1732 1735
31. T. Tasdizen Principal neighborhood dictionaries for nonlocal means image denoising IEEE Transactions on Image Processing 18 12 2009 2649 2660
32. D. Van De Ville, and M. Kocher Non-local means with dimensionality reduction and SURE-based parameter selection IEEE Transactions on Image Processing 99 99 2011 11
33. D. Van De Ville, and M. Kocher SURE-based non-local means IEEE Signal Processing Letters 16 2009 973 976
34. J. Salmon On two parameters for denoising with Non-Local Means IEEE Signal Processing Letters 17 2010 269 272
35. T. Brox, O. Kleinschmidt, and D. Cremers Efficient nonlocal means for denoising of textural patterns IEEE Transactions on Image Processing 17 7 2008 1083 1092
36. T. Brox, and D. Cremers Iterated nonlocal means for texture restoration SSVM, Lecture Notes in Computer Science vol. 4485 2007 13 24 (Pubitemid 350269781)
37. S. Zimmer, S. Didas, and J. Weickert A rotationally invariant block matching strategy improving image denoising with non-local means LNLA 2008
38. V. Doré, and M. Cheriet Robust NL-means filter with optimal pixel-wise smoothing parameter for statistical image denoising IEEE Transactions on Image Processing 57 2009 1703 1716
39. A.B. Tsybakov Introduction to Nonparametric Estimation, Springer Series in Statistics 2009 Springer New York revised and extended from the 2004 French original, Translated by Vladimir Zaiats, 2009
40. O.V. Lepski, E. Mammen, and V.G. Spokoiny Optimal spatial adaptation to inhomogeneous smoothness: an approach based on kernel estimates with variable bandwidth selectors Annals of Statistics 25 3 1997 929 947
41. V. Duval, J.-F. Aujol, and Y. Gousseau A bias-variance approach for the nonlocal means SIAM Journal of Imaging Sciences 4 2 2011 760 788
42. A. Singer, Y. Shkolnisky, and B. Nadler Diffusion interpretation of nonlocal neighborhood filters for signal denoising SIAM Journal of Imaging Sciences 2 1 2009 118 139
43. C. Kervrann, J. Boulanger, and P. Coupé Bayesian non-local means filter, image redundancy and adaptive dictionaries for noise removal SSVM vol. 4485 2007 520 532 (Pubitemid 350269823)
44. V. Katkovnik, A. Foi, K.O. Egiazarian, and J.T. Astola From local kernel to nonlocal multiple-model image denoising International Journal of Computer Vision 86 1 2010 1 32
45. O.G. Guleryuz Weighted averaging for denoising with overcomplete dictionaries IEEE Transactions on Image Processing 16 12 2007 3020 3034 (Pubitemid 350201234)
46. D.H. Wolpert Stacked generalization Neural Networks 5 2 1992 241 259
47. M.P. Perrone, Improving regression estimation: averaging methods for variance reduction with extensions to general convex measure optimization, PhD Thesis, Brown University, Providence, RI, USA, 1993.
48. L. Breiman Stacked regressions Machine Learning 24 1 1996 49 64 (Pubitemid 126724379)
49. F.C. Crow Summed-area tables for texture mapping SIGGRAPH 1984 207 212
50. P. Viola, and M. Jones Rapid object detection using a boosted cascade of simple features CVPR 1 2001 511 518
51. J. Wang, Y.-W. Guo, Y. Ying, Y.-L. Liu, and Q.-S. Peng Fast non-local algorithm for image denoising ICIP 2006 1429 1432
52. J. Darbon, A. Cunha, T.F. Chan, S. Osher, and G.J. Jensen Fast nonlocal filtering applied to electron cryomicroscopy ISBI 2008 1331 1334