On the inversion of the anscombe transformation in low-count poisson image denoising

2009 International Workshop on Local and Non-Local Approximation in Image Processing, LNLA 2009

Volumn , Issue , 2009, Pages 26-32

  Mäkitalo, Markku ^a   Foi, Alessandro ^a  

^a TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

ADDITIVE GAUSSIAN NOISE; ADDITIVE WHITE GAUSSIAN NOISE; BIAS ERROR; DE-NOISED SIGNALS; DE-NOISING ALGORITHM; EXPERIMENTAL ANALYSIS; FORWARD TRANSFORMATIONS; IMAGE DE-NOISING; INVERSE TRANSFORMATIONS; NOISE VARIANCE; POISSON NOISE; ROOT TRANSFORMATION; SIGNAL OF INTERESTS;

GAUSSIAN NOISE (ELECTRONIC); IMAGING SYSTEMS; MOBILE TELECOMMUNICATION SYSTEMS; POISSON DISTRIBUTION; POISSON EQUATION; WHITE NOISE; WIRELESS TELECOMMUNICATION SYSTEMS;

IMAGE PROCESSING;

EID: 72249105986     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/LNLA.2009.5278406     Document Type: Conference Paper

References (8)

1. Anscombe, F.J., "The transformation of Poisson, binomial and negative-binomial data", Biometrika, vol. 35, no. 3/4, pp. 246-254, Dec. 1948.
2. Boulanger, J., J.B. Sibarita, C. Kervrann, and P. Bouthemy, "Non-parametric regression for patch-based fluorescence microscopy image sequence denoising", Proc. IEEE Int. Symp. on Biomedical Imaging (ISBI '08), pp. 748-751, May 2008.
3. Dabov, K., 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.
4. Curtiss, J.H., "On transformations used in the analysis of variance", The Annals of Mathematical Statistics, vol. 14, no. 2, pp. 107-122, June 1943.
5. Efron, B., "Transformation theory: How normal is a family of distributions?", The Annals of Statistics, vol. 10, no. 2, pp. 323-339, 1982.
6. Lefkimmiatis, S., P. Maragos, and G. Papandreou, "Bayesian inference on multiscale models for Poisson intensity estimation: Applications to photon-limited image denoising", IEEE Trans. Image Process., vol. 18, no. 8, pp. 1724-1741, Aug. 2009.
7. Portilla, J., 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.
8. Zhang B., J.M. Fadili, and J-L. Starck, "Wavelets, ridgelets, and curvelets for Poisson noise removal", IEEE Trans. Image Process., vol. 17, no. 7, pp. 1093-1108, July 2008.