Image denoising in steerable pyramid domain based on a local Laplace prior

Pattern Recognition

Volumn 42, Issue 9, 2009, Pages 2181-2193

  Rabbani, Hossein ^a  

^a ISFAHAN UNIVERSITY OF MEDICAL SCIENCES   (Iran)

Author keywords

Denoising; MAP estimator; MMSE estimator; Steerable pyramid

Indexed keywords

A-LAPLACIAN; DE-NOISING TECHNIQUES; DENOISING; DENOISING METHODS; GAUSSIAN SCALE MIXTURES; HEAVY-TAILED; IMAGE DE-NOISING; IMAGE DENOISING ALGORITHM; LAPLACIAN; LOCAL CORRELATIONS; LOCAL VARIANCE; MAP ESTIMATOR; MAXIMUM A POSTERIORI; MINIMUM MEAN SQUARED ERROR; MMSE ESTIMATOR; NOVEL METHODS; PROBABILITY DENSITY FUNCTION (PDF); SPATIALLY ADAPTIVE; STEERABLE PYRAMID; STEERABLE PYRAMIDS; SUB-BAND;

ESTIMATION; IMAGE PROCESSING; LAPLACE TRANSFORMS; MEAN SQUARE ERROR; PROBABILITY DISTRIBUTIONS; RANDOM VARIABLES;

PROBABILITY DENSITY FUNCTION;

EID: 67349240412     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2009.01.005     Document Type: Article

References (54)

1. Lukac R., Smolka B., Martin K., Plataniotis K.N., and Venetsanopoulos A.N. Vector filtering for color imaging. IEEE Signal Processing Magazine, Special Issue on Color Image Processing 22 1 (2005) 74-86
2. Pitas I., and Venetsanopoulos A. Nonlinear Digital Filters (1990), Kluwer, Dordrecht
3. Donoho D.L., and Johnstone I.M. Ideal spatial adaptation by wavelet shrinkage. Biometrika 81 3 (1994) 425-455
4. Donoho D.L. Denoising by soft-thresholding. IEEE Transactions on Information Theory 41 (1995) 613-627
5. Crouse M.S., Nowak R.D., and Baraniuk R.G. Wavelet-based statistical signal processing using hidden Markov models. IEEE Transactions on Signal Processing 46 4 (1998) 886-902
6. Mihcak M.K., Kozintsev I., Ramchandran K., and Moulin P. Low complexity image denoising based on statistical modeling of wavelet coefficients. IEEE Signal Processing Letters 6 (1999) 300-303
7. Luisier F., Blu T., and Unser M. A new SURE approach to image denoising: inter-scale orthonormal wavelet thresholding. IEEE Transactions on Image Processing 16 3 (2007) 593-606
8. Portilla J., Strela V., Wainwright M.J., and Simoncelli E.P. Image denoising using Gaussian scale mixtures in the wavelet domain. IEEE Transactions on Image Processing 12 (2003) 1338-1351
9. H. Rabbani, M. Vafadust, S. Gazor, Image denoising based on a mixture of Laplace distributions with local parameters in complex wavelet domain, in: Proceedings 13th IEEE International Conference on Image Processing, Atlanta, October 2006.
10. Selesnick I.W., Baraniuk R.G., and Kingsbury N. The dual-tree complex wavelet transforms-a coherent framework for multiscale signal and image processing. IEEE Signal Processing Magazine 22 6 (2005) 123-151
11. Simoncelli E.P., Freeman W.T., Adelson E.H., and Heeger D.J. Shiftable multi-scale transforms. IEEE Transactions on Information Theory, Special Issue on Wavelets 38 2 (1992) 587-607
12. E. P. Simoncelli, W. T. Freeman, The steerable pyramid: a flexible architecture for multi-scale derivative computation, in: Proceedings Second Annual IEEE International Conference on Image Processing, Washington, DC, October 1995.
13. Guerrero-Colon J.A., Mancera L., and Portilla J. Image restoration using space-variant Gaussian scale mixtures in overcomplete pyramids. IEEE Transactions on Image Processing 17 1 (2008) 27-41
14. Awate S.P., and Whitaker R.T. Unsupervised, information-theoretic, adaptive image filtering for image restoration. IEEE Transactions on Pattern Analysis and Machine Intelligence 28 3 (2006) 364-376
15. Fukunaga K., and Hostetler L. The estimation of the gradient of a density function with applications in pattern recognition. IEEE Transactions on Information Theory 21 1 (1975) 32-40
16. Comaniciu D., and Meer P. Mean shift: a robust approach toward feature space analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence 24 5 (2002) 603-619
17. Chang S., Yu B., and Vetterli M. Adaptive wavelet thresholding for image denoising and compression. IEEE Transactions on Image Processing 9 (2000) 1532-1546
18. Sendur L., and Selesnick I.W. Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency. IEEE Transactions on Signal Processing 50 11 (2002) 2744-2756
19. Moulin P., and Liu J. Analysis of multiresolution image denoising schemes using generalized Gaussian and complexity priors. IEEE Transactions on Information Theory 45 3 (1999) 909-919
20. Figueiredo M.A.T., and Nowak R.D. Wavelet-based image estimation: an empirical Bayes approach using Jeffrey's noninformative prior. IEEE Transactions on Image Processing 10 (2001) 1322-1331
21. A. Hanssen, T.A. Oigard, The normal inverse Gaussian distribution for heavy-tailed processes, in: Proceedings IEEE EURASIP Workshop on Nonlinear Signal and Image processing, 2001.
22. Fadili M.J., and Boubchir L. Analytical form for a Bayesian wavelet estimator of images using the Bessel K form densities. IEEE Transactions on Image Processing 14 2 (2005) 231-240
23. Chen Y., and Han C. Adaptive wavelet threshold for image denoising. Electronic Letters 41 10 (2005) 586-587
24. Lee J.S. Digital image enhancement and noise filtering by use of local statistics. IEEE Transactions on Pattern Analysis and Machine Intelligence 2 (1980) 165-168
25. Cai Z., Cheng T.H., Lu C., and Subramanian K.R. Efficient wavelet-based image denoising algorithm. Electronics Letters 37 11 (2001) 683-684
26. Fan G., and Xia X. Image denoising using a local contextual hidden Markov model in the wavelet domain. IEEE Signal Processing Letters 8 5 (2001) 125-128
27. Kazubek M. Wavelet domain image denoising by thresholding and Wiener filtering. IEEE Signal Processing Letters 10 11 (2003) 324-326
28. Eom I.K., and Kim Y.S. Wavelet-based denoising with nearly arbitrarily shaped windows. IEEE Signal Processing Letters 11 12 (2004) 937-940
29. Chen G.Y., Bui T.D., and Krzyzak A. Image denoising with neighbour dependency and customized wavelet and threshold. Pattern Recognition 38 (2005) 115-124
30. A. Buades, B. Coll, J.M. Morel, A non-local algorithm for image denoising, in: Proceedings IEEE Conference on Computer Vision and Pattern Recognition, vol. 2, 2005, pp. 60-65.
31. Kervrann C., and Boulanger J. Optimal spatial adaptation for patch-based image denoising. IEEE Transactions on Image Processing, 15 10 (2006) 2866-2878
32. Dabov K., Foi A., Katkovnik V., and Egiazarian K. Image denoising by sparse 3-d transform domain collaborative filtering. IEEE Transactions on Image Processing 16 8 (2007) 2080-2095
33. Comon P. Independent component analysis: a new concept. Signal Processing 36 3 (1994) 287-314
34. Andrews H.C., and Patterson C.L. Singular value decompositions and digital image processing. IEEE Transactions on Acoustics, Speech, and Signal Processing 24 (1976) 26-53
35. Mallet S., and Zhang S. Matching pursuits with time-frequency dictionaries. IEEE Transactions on Signal Processing 41 12 (1993)
36. Candes E., and Donoho D. Curvelets: A Surprisingly Effective Nonadaptive Representation of Objects with Edges, Curves and Surface (1999), Vanderbilt University Press, Nashville, TN pp. 123-143
37. Do M.N., and Vetterli M. The contourlet transform: an efficient directional multiresolution image representation. IEEE Transactions on Image Processing 14 12 (2005) 2091-2106
38. Kakarala R., and Ogunbona P.O. Signal analysis using a multiresolution form of the singular value decomposition. IEEE Transactions on Image Processing 10 (2001) 724-735
39. Hou Z. Adaptive singular value decomposition in wavelet domain for image denoising. Pattern Recognition 36 8 (2003) 1747-1763
40. Aharon M., Elad M., and Bruckstein A.M. The K-SVD: an algorithm for designing of overcomplete dictionaries for sparse representation. IEEE Transactions on Signal Processing 54 11 (2006) 4311-4322
41. Elad M., and Aharon M. Image denoising via sparse and redundant representations over learned dictionaries. IEEE Transactions on Image Processing 15 12 (2006) 3736-3745
42. H. Guo, Theory and applications of the shift-invariant, time-varying and undecimated wavelet transforms. Master's Thesis, Department ECE, Rice University, Houston, TX, 1995.
43. Pizurica A., and Philips W. Estimating the probability of the presence of a signal of interest in multiresolution single- and multiband image denoising. IEEE Transactions on Image Processing 15 3 (2006) 654-665
44. Starck J., Candes E., and Donoho D. The curvelet transform for image denoising. IEEE Transactions on Image Processing 11 6 (2002) 670-684
45. Johnstone I.M., and Silverman B.W. Empirical Bayes selection of wavelet thresholds. Annals of Statistics 33 (2005) 1700-1752
46. Mallat S.G. A theory for multiresolution signal decomposition. IEEE Transactions on Pattern Analysis and Machine Intelligence 11 (1989) 674-697
47. Rabbani H., and Vafadust M. Image/video denoising based on a mixture of Laplace distributions with local parameters in multidimensional complex wavelet domain. Signal Processing 88 1 (2008) 158-173
48. Shapiro J. Embedded image coding using zero-trees of wavelet coefficients. IEEE Transactions on Signal Processing 41 12 (1993) 3445-3462
49. Buccigrossi R.W., and Simoncelli E.P. Image compression via joint statistical characterization in the wavelet domain. IEEE Transactions on Image Processing 8 12 (1999) 1688-1701
50. Gazor S., and Zhang W. Speech enhancement employing Laplacian-Gaussian mixture. IEEE Transactions on Speech and Audio Processing 13 5 (2005) 896-904
51. Kalifa J., Laine A.F., and Esser P.D. Regularization in tomographic reconstruction using thresholding estimators. IEEE Transactions on Medical Imaging 22 3 (2003) 351-359
52. Wang J., Li T., Lu H., and Liang Z. Penalized weighted least-squares approach to sinogram noise reduction and image reconstruction for low-dose X-ray computed tomography. IEEE Transactions on Medical Imaging 25 10 (2006)
53. Chipman H.A., Kolaczyk E.D., and McCulloch R.E. Adaptive Bayesian wavelet shrinkage. Journal of the American Statistical Association 92 (1997) 1413-1421
54. Foi A., Katkovnik V., and Egiazarian K. Pointwise shape-adaptive DCT for high-quality denoising and deblocking of grayscale and color images. IEEE Transactions on Image Processing 16 5 (2007) 1395-1411