Planar nuclear images restoration based on Fourier and Wavelet transforms

International Review on Computers and Software

Volumn 4, Issue 2, 2009, Pages 177-182

  Khlifa, Nawres ^a   Gribaa, Nejla ^a   Hamrouni, Kamel ^a  

^a UNIVERSITY OF TUNIS EL MANAR   (Tunisia)

Author keywords

Fourier transform; Image restoration; Nuclear medecine; Regularisation; Wavelet packets transform

Indexed keywords

DE-NOISING; DISTORTION MODEL; EDGE PRESERVATIONS; EQUIPMENT QUALITY; FOURIER; FOURIER BASIS; ILL POSED PROBLEM; IMAGE RESTORATION; NUCLEAR IMAGES; NUCLEAR MEDECINE; RADIOACTIVE SUBSTANCES; REGION OF INTEREST; REGULARISATION; SCINTIGRAPHIC IMAGES; WAVELET DOMAIN; WAVELET PACKET BASIS; WAVELET PACKETS TRANSFORM;

CONVOLUTION; DECONVOLUTION; FEATURE EXTRACTION; IMAGE RECONSTRUCTION; MATHEMATICAL TRANSFORMATIONS; RESTORATION; WAVELET TRANSFORMS;

FOURIER TRANSFORMS;

EID: 69149108484     PISSN: 18286003     EISSN: 18286011     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. A. Aurengo, T. Petitclerc, F. Grémy. Biophysique. 2ème édition,Médecine-Sciences. Flammarion. Paris. 2001.
2. M. S. Rzeszotarski. Counting statistics. Radiographics 19.pp.765-82. 1999.
3. P. Hannequin and J. Mas. Statistical and heuristic image noise extraction (SHINE): a new method for processing Poisson noise in scintigraphic images. Phys Med Biol. 47(24):4329-44. 21 Dec 2002.
4. K.Ngyen, H. Guillemin and P. Duvaut, "Bayesian Map restoration of Scintigraphic images", IEEE. Conf. Acoustics, Speech and Signal Processing, Vol. 6, pp.3421-3424, 1999.
5. D. Angelini, K. Nguyen and F. Murtagh, "Wavelets and curvelets for image deconvolution: a combined approach", Signal Processing, Vol. 83, P. 2279-2283, Oct 2003.
6. N. Khalifa, K. Hamrouni and N. Ellouze, "Image denoising using Wavelets: A powerful tool to overcome some limitations in nuclear medecine", Information and Communication Technologies, ICTTA, V. 1, pp. 24-28, 2006.
7. D. Donoho, "Nonlinear solution of linear nverse problems by Wavelet-Vaguelet decompositions,", J. of Appl and Comput Harmonic Analysis, Vol.2, no.2, pp. 101-126, 1995.
8. R. Neelamani, H. Choi and R. Baraniuk, "ForWaRD: Fourier-Wavelet Regularized Deconvolution for Ill-Conditioned Systems", IEEE transactions on signal processing, vol. 52, PP.418-433. dec 2004.
9. R. Neelamani, H. Choi and R. Baraniuk, "ForWaRD: Wavelet based deconvolution for ill-conditionned Systems", IEEE ICASSP, vol. 6, pp. 3241-3244, 2000.
10. S. Mallat, "A Wavelt tour of Signal Processing", Academic Press, 2nd edition,1999.
11. D. Donoho and I. Johntone, "Ideal spatial adaptation via Wavelet shrinkage", Biometrika, vol.81, pp. 425-455, December 1994.
12. J. Khalifa and S. Mallat, " Thresholding estimators for linear inverse problems and deconvolution", Ann. Statist, vol. 31, PP.58-109, Feb 2003.
13. J. Kalifa, S. Mallat and B. Rouge, "Deconvolution by thresholding in mirror Wavelet bases,", IEEE transactions on signal processing, vol. 12, pp. 446-457, dec 2002,.
14. A. Jalobeanu, "Modèles, estimation bayèsienne et algorithmes pour la déconvolution d'images satellitaires et aériennes, " PhD thesis, Nice-Sophia Antipolis university, 2001.
15. R. Coifman and D. Donoho, "Waveltet and statistics", Chapter Translation invariant denoising, p. 125, Springer-Verlag, New York, 1995.
16. J. Starck, Y. Jin, P. Esser, R. Van eertum and A. Laine, "Fusion of Brushlet and Wavelet denoising metods for nuclear images",IEEE International Symposium, Vol. 2, PP. 1187-1191, April 2004