Skip to main content
Have a personal or library account? Click to login
Statistical Modeling of Low SNR Magnetic Resonance Images in Wavelet Domain Using Laplacian Prior and Two-Sided Rayleigh Noise for Visual Quality Improvement Cover

Statistical Modeling of Low SNR Magnetic Resonance Images in Wavelet Domain Using Laplacian Prior and Two-Sided Rayleigh Noise for Visual Quality Improvement

By:   
Open Access
|Sep 2011

References

  1. Vojtíšek, L., Frollo, I., Valkovič, L., Gogola, D., Juráš, V. (2011). Phased array receiving coils for low field lungs MRI: Design and optimization., 9, 61-67.
  2. Song Huettel, A. W., McCarthy, G. (2009)., 2nd ed. Sunderland, MA: Sinauer Associates, Inc.
  3. Donoho, D. L., Johnstone, I. M. (1994). Ideal spatial adaptation by wavelet shrinkage., 81, 291-294.
  4. Donoho, D. L. (1995). Denoising by soft-thresholding., 41, 613-627.
  5. Mihcak, M. K., Kozintsev, I., Ramchandran, K., Moulin, P. (1999). Low complexity image denoising based on statistical modeling of wavelet coefficients., 6, 300-303.
  6. Crouse, M. S., Nowak, R. D., Baraniuk, R. G. (1999). Analysis of multiresolution image denoising schemes using a generalized Gaussian and complexity priors., 45, 909-919.
  7. Malfait, M., Roose, D. (1997). Wavelet-based image denoising using a markov random field a priori model., 6, 549-565.
  8. Crouse, M. S., Nowak, R. D., Baraniuk, R. G. (1998). Wavelet-based statistical signal processing using hidden Markov models., 46, 886-902.
  9. Rabbani, H., Vafadust, M., Gazor, S. (2006). Image denoising based on a mixture of Laplace distributions with local parameters in complex wavelet domain. In, October 8-11, 2006. Atlanta, GA, 2597-2600.
  10. Nowak, R. D. (1999). Wavelet-based rician noise removal for magnetic resonance imaging., 8, 1408-1419.
  11. Chang, S. G., Yu, B., Vetterli, M. (2000). Adaptive wavelet thresholding for image denoising and compression., 9, 1532-1546.
  12. Richardson, W. H. (1972). Bayesian-based iterative method of image restoration., 62 (1), 55-59.
  13. Lucy, L. B. (1974). An iterative technique for the rectification of observed distributions., 79 (6), 745-754.
  14. Fish, D. A., Brinicombe, A. M., Pike, E. R. (1995). Blind deconvolution by means of the Richardson-Lucy algorithm., 12 (1), 58-65.
  15. Stockham, T. G., Cannon, T. M., Ingebretsen, R. B. (1975). Blind deconvolution through digital signal processing. In, 63 (4), 678-692.
  16. Cannon, M. (1976). Blind deconvolution of spatially invariant image blurs with phase., 24 (1), 58-63.
  17. Rabbani, H. (2008). Statistical modeling of low SNR magnetic resonance images in wavelet domain using Laplacian prior and two-sided Rayleigh noise for visual quality improvement. In, May 30-31, 2008. IEEE, 116-119.
  18. Rabbani, H., Vafadust, M. (2008). Image/video denoising based on a mixture of Laplace distributions with local parameters in multidimensional complex wavelet domain., 88 (1), 158-173.
  19. Rabbani, H., Nezafat, R., Gazor, S. (2009). Waveletdomain medical image denoising using bivariate Laplacian mixture model., 56 (12), 2826-2837.
  20. Selesnick, I. W., Kingsbury, N., Baraniuk, R. G. (2005). The dual-tree complex wavelet transforms - a coherent framework for multiscale signal and image processing., 9, 123-151.
  21. Kingsbury, N. G. (2000). A dual-tree complex wavelet transform with improved orthogonality and symmetry properties. In, Vol. 2, September 10-13, 2000. IEEE, 375-378.
  22. Geman, S., Geman, D. (1984). Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images., 6 (6), 721-741.
  23. Derin, H., Elliott, H. (1987). Modeling and segmentation of noisy and textured images using Gibbs random fields., 9, 39-55.
  24. Molina, R., Katsaggelos, A. K., Abad, J., Mateos, J. (1997). A Bayesian approach to blind deconvolution based on dirichlet distributions. In, Vol. 4, April 21-24, 1997. IEEE, 2809-2812.
  25. Sroubek, F., Flusser, J. (2005). Multichannel blind deconvolution of spatially misaligned images., 14 (7), 874-883.
  26. Babacan, S., Molina, R., Katsaggelos, A. (2008). Parameter estimation in TV image restoration using variational distribution approximation., 17 (23), 326-339.
  27. Levin, A., Weiss, Y., Durand, F., Freeman, W. T. (2009). Understanding and evaluating blind deconvolution algorithms. In, June 20-25, 2009. IEEE, 1964-1971.
  28. Greenspan, H., Oz, G., Kiryati, N., Peled, S. (2002). MRI inter-slice reconstruction using super resolution., 20 (5), 437-446.
Language: English
Page range: 125 - 130
Published on: Sep 21, 2011
Published by: Slovak Academy of Sciences, Institute of Measurement Science
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2011 H. Rabbani, published by Slovak Academy of Sciences, Institute of Measurement Science
This work is licensed under the Creative Commons License.