Image denoising using total least squares

IEEE Transactions on Image Processing

Volumn 15, Issue 9, 2006, Pages 2730-2742

  Hirakawa, Kiego ^a,b   Parks, Thomas W ^a  

^a Cornell University ^*  (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

Image denoising; Image restoration; Signal dependent noise; Total least squares

Indexed keywords

ALGORITHMS; IMAGE ENHANCEMENT; IMAGE QUALITY;

IMAGE DENOISING; SIGNAL-DEPENDENT NOISE; TOTAL LEAST SQUARES;

IMAGE RECONSTRUCTION;

ALGORITHM; ARTICLE; ARTIFACT; COMPARATIVE STUDY; COMPUTER ASSISTED DIAGNOSIS; COMPUTER GRAPHICS; COMPUTER SIMULATION; EVALUATION; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; MATHEMATICAL COMPUTING; METHODOLOGY; REGRESSION ANALYSIS; SIGNAL PROCESSING; STATISTICAL MODEL;

ALGORITHMS; ARTIFACTS; COMPUTER GRAPHICS; COMPUTER SIMULATION; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; LEAST-SQUARES ANALYSIS; MODELS, STATISTICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 33747641618     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2006.877352     Document Type: Article

References (28)

1. E. J. Candes and D. L. Donoho, A. Cohen, C. Rabut, and L. Schumaker, Eds., "Curvelets-a surprisingly effective nonadaptive representation for objects with edges," in Curve and Surface Fitting: Saint-Malo 1999. Nashville, TN: Vanderbilt Univ. Press, 1999.
2. B. Champagne and Q.-G. Liu, "Plane rotation-based EVD updating scheme for efficient subspace tracking," IEEE Trans. Signal Process., vol. 46, no. 7, pp. 1886-1900, Jul. 1998.
3. M. S. Crouse, R. D. Nowak, and R. G. Baraniuk, "Bayesian tree-structured image modeling using wavelet-domain hidden Markov models," IEEE Trans. Image Process., vol. 46, no. 7, pp. 1056-1068, Jul. 1998.
4. P. de Groen, "An introduction to total least squares, " Nieuw Arch. Wiskunde, vol. 14, no. 2, pp. 237-254, Jul. 1996.
5. R. Ding and A. N. Venetsanopoulos, "Generalized homomorphic and adaptive order statistic filters for the removal of impulsive and signal-dependent noise," IEEE Trans. Circuits Syst., vol. CAS-34, no. 8, pp. 948-955, Aug. 1987.
6. D. L. Donoho and I. M. Johnstone, "Ideal spatial adaptation via wavelet shrinkage," Biometrik, vol. 81, pp. 425-455, 1994.
7. W. T. Freeman and E. H. Adelson, "The design and use of steerable filters," IEEE Pattern Anal. Mach. Intell., vol. 13, no. 9, pp. 891-906, Sep. 1991.
8. G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed. Baltimore, MD: Johns Hopkins Univ. Press, 1996.
9. K. Hirakawa and T. W. Parks, "Joint demosaicing and denoising," presented at the IEEE Int. Conf. Image Process. 2005.
10. G. Hua and M. T. Orchard, "A new interpretation of translation invariant denoising," presented at the Int. Conf. Acoustics, Speech, Signal Processing 2004.
11. M. Jansen and A. Bultheel, "Empirical Bayes approach to improve wavelet thresholding for image noise reduction," J. Amer. Statist. Assoc., vol. 96, no. 454, pp. 629-639, Jun. 2001.
12. I. M. Johnstone and B. W. Silverman, "Wavelet threshold estimators for data with correlated noise," J. Roy. Statist. Soc. B, vol. 59, pp. 319-351, 1997.
13. N. G. Kingsbury, "Image processing with complex wavelets," Phil. Trans. Roy. Soc. Lond. A, pp. 2543-2560, Sep. 1999.
14. N. G. Kingsbury, "Complex wavelets for shift invariant analysis and filtering of signals," Appl. Compt. Harmon. Anal., pp. 234-253, May 2001.
15. X. Li and M. T. Orchard, "Spatially adaptive image denoising under overcomplete expansion," presented at the IEEE Int. Conf. Image Process. Sep. 2000.
16. D. D. Muresan and T. W. Parks, "Adaptively quadratic (AQua) image interpolation," IEEE Trans. Image Process., vol. 13, no. 5, pp. 690-698, May 2004.
17. D. D. Muresan and T. W. Parks, "Adaptive principal components and image denoising," presented at the Int. Conf. Image Process. 2003.
18. A. V. Oppenheim, R. W. Schafer, and T. G. Stockham, "Nonlinear filtering of multiplied and convolved signals," Proc. IEEE, vol. 56, no. 8, pp. 1264-1291, Aug. 1963.
19. J. Portilla, V. Strela, M. J. Wainwright, and E. P. Simoncelli, Image Denoising Using Scale Mixture of Gaussians in the Wavelet Domain, Comput. Sci. Dept., Courant Inst. Math. Sci., New York Univ., Tech. Rep. TR2002-831,, 2002.
20. J. Portilla, V. Strela, M. J. Wainwright, and E. P. Simoncelli, "Image denoising using scale mixture of Gaussians in thewavelet domain," IEEE Trans. Image Process., vol. 12, no. 11, pp. 1338-1351, Nov. 2003.
21. A. Pizurica, W. Philips, I. Lemahieu, and M. Acheroy, "A joint interand intrascale statistical model for Bayesian wavelet based image denoising," IEEE Trans. Image Process., vol. 11, no. 5, pp. 545-557, May 2002.
22. G. H. Rieke, Detection of Light: From the Ultraviolet to the Submillimeter. Cambridge, U.K.: Cambridge Univ. Press, 1994.
23. L. Sendur and I. W. Selesnick, "Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency," IEEE Trans. Signal Process., vol. 50, no. 11, pp. 2744-2756, Nov. 2002.
24. L. Sendur and I. W. Selesnick, "Bivariate shrinkage with local variance estimation," IEEE Signal Process. Lett., vol. 9, no. 12, pp. 438-441, Dec. 2002.
25. J. L. Starck, D. L. Donoho, and E. Candes, "Very high quality image restoration," Proc. SPIE, vol. 4478, pp. 9-19, 2001.
26. H. Tian, B. Fowler, and A. E. Gamal, "Analysis of temporal noise in CMOS photodiode active pixel sensor," IEEE J. Solid-State Circuits, vol. 36, no. 1, pp. 92-101, Jan. 2001.
27. C. Tomasi and R. Manduchi, "Bilateral filtering for gray and color images," presented at the Int. Conf. Computer Vision Jan. 1998.
28. Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, "Image quality assessment: From error visibility to structural similarity," IEEE Trans. Image Process., vol. 13, no. 4, pp. 600-612, Apr. 2004.