Optimal inversion of the generalized anscombe transformation for Poisson-Gaussian noise

IEEE Transactions on Image Processing

Volumn 22, Issue 1, 2013, Pages 91-103

  Mäkitalo, Markku ^a   Foi, Alessandro ^a  

^a TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

Denoising; photon limited imaging; Poisson Gaussian noise; variance stabilization

Indexed keywords

CLOSED FORM APPROXIMATIONS; DE-NOISING; DE-NOISING ALGORITHM; DIGITAL IMAGING DEVICES; GAUSSIANS; INTEGRAL PART; INVERSE TRANSFORMATIONS; NOISY DATA; PHOTON-LIMITED IMAGING; POISSON NOISE; POISSON-GAUSSIAN NOISE;

GAUSSIAN NOISE (ELECTRONIC); OPTIMIZATION; PHOTONS; STABILIZATION;

METADATA;

EID: 84871651948     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2012.2202675     Document Type: Article

References (15)

1. A. Foi, M. Trimeche, V. Katkovnik, and K. Egiazarian, "Practical Poissonian-Gaussian noise modeling and fitting for single-image raw data," IEEE Trans. Image Process., vol. 17, no. 10, pp. 1737-1754, Oct. 2008.
2. A. Foi, "Clipped noisy images: Heteroskedastic modeling and practical denoising," Signal Process., vol. 89, no. 12, pp. 2609-2629, Dec. 2009.
3. B. Zhang, M. J. Fadili, J. L. Starck, and J. C. Olivo-Marin, "Multiscale variance-stabilizing transform for mixed-Poisson-Gaussian processes and its applications in bioimaging," in Proc. IEEE Int. Conf. Image Process., Oct. 2007, pp. 234-236.
4. F. Luisier, T. Blu, and M. Unser, "Image denoising in mixed Poisson-Gaussian noise," IEEE Trans. Image Process., vol. 20, no. 3, pp. 696-708, Mar. 2011.
5. M. Mäkitalo and A. Foi, "Poisson-Gaussian denoising using the exact unbiased inverse of the generalized Anscombe transformation," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., Mar. 2012, pp. 1081-1084.
6. J. L. Starck, F. Murtagh, and A. Bijaoui, Image Processing and Data Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1998.
7. M. Mäkitalo and A. Foi, "Optimal inversion of the Anscombe transformation in low-count Poisson image denoising," IEEE Trans. Image Process., vol. 20, no. 1, pp. 99-109, Jan. 2011.
8. M. Mäkitalo and A. Foi, "A closed-form approximation of the exact unbiased inverse of the Anscombe variance-stabilizing transformation, " IEEE Trans. Image Process., vol. 20, no. 9, pp. 2697-2698, Sep. 2011.
9. F. J. Anscombe, "The transformation of Poisson, binomial and negative-binomial data," Biometrika, vol. 35, nos. 3-4, pp. 246-254, Dec. 1948.
10. K. Dabov, A. Foi, V. Katkovnik, and K. Egiazarian, "Image denoising by sparse 3D transform-domain collaborative filtering," IEEE Trans. Image Process., vol. 16, no. 8, pp. 2080-2095, Aug. 2007. (Pubitemid 47225460)
11. J. Portilla, V. Strela, M. J. Wainwright, and E. P. Simoncelli, "Image denoising using scale mixtures of Gaussians in the wavelet domain," IEEE Trans. Image Process., vol. 12, no. 11, pp. 1338-1351, Nov. 2003.
12. 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.
13. P. Stoica and P. Babu, "The Gaussian data assumption leads to the largest Cramér-Rao bound," IEEE Signal Process. Mag., vol. 28, no. 3, pp. 132-133, May 2011.
14. A. Foi. (2009). Optimization of Variance-Stabilizing Transformations [Online]. Available: http://www.cs.tut.fi/∼foi/
15. M. Kendall, The Advanced Theory of Statistics, vol. 1, 2nd ed. London, U.K.: Griffin, 1945.