CT image reconstruction approaches applied to time-frequency representation of signals

Eurasip Journal on Applied Signal Processing

Volumn 2003, Issue 5, 2003, Pages 422-429

  Púčik, Josef ^a   Oweis, Rami ^b  

^a SLOVAK UNIVERSITY OF TECHNOLOGY   (Slovakia)

^b JORDAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Jordan)

Author keywords

Fractional fourier transform; Radon Wigner transform; R nyi entropy; Wigner distribution

Indexed keywords

FOURIER TRANSFORMS; IMAGE ENHANCEMENT; IMAGE RECONSTRUCTION; INTERFERENCE SUPPRESSION; MATHEMATICAL TRANSFORMATIONS; OPTIMIZATION; PROBABILITY DISTRIBUTIONS; SPECTRUM ANALYSIS;

COMPUTERIZED TOMOGRAPHY IMAGE RECONSTRUCTION; FRACTIONAL FOURIER TRANSFORM; RADON-WIGNER TRANSFORM; RENYI ENTROPY; TIME-FREQUENCY REPRESENTATION; WIGNER DISTRIBUTION;

COMPUTERIZED TOMOGRAPHY;

EID: 0038241250     PISSN: 11108657     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1110865703211100     Document Type: Article

References (18)

1. F. Hlawatsch and G. F. Boudreaux Bartels, "Linear and qaudratic time-frequency signal representations," IEEE Signal Processing Magazine, vol. 9, pp. 21-67, April 1992.
2. G. F. Boudreaux-Bartels and R. Murray, "Time-frequency signal representation for biomedical signals," in The Biomedical Engineering Handbook, J. D. Bronzino, Ed., pp. 866-885, CRC press, Boca Raton, Fla, USA, 1995.
3. W. J. Williams, "Recent advantages in time-frequency representations: some theoretical foundations," in Time Frequency and Wavelets in Biomedical Signal Processing, M. Akay, Ed., pp. 3-43, IEEE Press, Piscataway, NJ, USA, 1998.
4. L. Cohen, "Generalized phase-space distribution functions," J. Math. Phys., vol. 7, no. 5, pp. 781-786, 1966.
5. L. Cohen and T. E. Posch, "Positive time-frequency distribution functions," IEEE Trans. Acoust. Speech Signal Processing, vol. ASSP-33, no. 1, pp. 31-38, 1985.
6. P. Loughlin, J. W. Pitton, and L. Atlas, "Construction of positive time-frequency distributions," IEEE Trans. Signal Processing, vol. 42, no. 10, pp. 2697-2705, 1994.
7. J. R. Fonollosa, "Positive time-frequency distributions based on joint marginal constraints," IEEE Trans. Signal Processing, vol. 44, no. 8, pp. 2086-2091, 1996.
8. H. M. Ozaktas, N. Erkaya, and M. A. Kutay, "Effect of fractional Fourier transformation on time-frequency distributions belonging to the Cohen class," IEEE Signal Processing Letters, vol. 3, no. 2, pp. 40-41, 1996.
9. H. M. Ozaktas, O. Arikan, M. A. Kutay, and G. Bozdagi, "Digital computation of the fractional Fourier transform," IEEE Trans. Signal Processing, vol. 44, no. 9, pp. 2141-2150, 1996.
10. L. B. Almeida, "The fractional Fourier transform and time-frequency representations," IEEE Trans. Signal Processing, vol. 42, no. 11, pp. 3084-3091, 1994.
11. D. Groutage, "A fast algorithm for computing minimum cross-entropy positive time-frequency distributions," IEEE Trans. Signal Processing, vol. 45, no. 8, pp. 1954-1970, 1997.
12. S. I. Shah, P. Loughlin, L. F. Chaparro, and A. El-Jaroudi, "Informative priors for minimum cross-entropy positive time-frequency distributions," IEEE Signal Processing Letters, vol. 4, no. 6, pp. 176-177, 1997.
13. G. Minerbo, "MENT: a maximum entropy algorithm for reconstructing a source from projection data," Computer Graphics and Image Processing, vol. 10, no. 1, pp. 48-68, 1979.
14. A. Rényi, "On measures of entropy and information," in Proc. 4th Berkeley Symp. Math. Statist. Probab., vol. 1, pp. 547-561, University of California Press, Berkeley, Calif, USA, 1961.
15. L. L. Campbell, "A coding theorem and Rényi's entropy," Information and Control, vol. 8, no. 4, pp. 423-429, 1965.
16. R. G. Baraniuk, P. Flandrin, A. J. E. M. Janssen, and O. J. J. Michel, "Measuring time-frequency information content using the Rényi entropies," IEEE Transactions on Information Theory, vol. 47, no. 4, pp. 1391-1409, 2001.
17. W. J. Williams, "Reduced interference distributions: biological applications and interpretations," Proceedings of the IEEE, vol. 84, no. 9, pp. 1264-1280, 1996.
18. I. Kazantsev, R. Van de Walle, and I. Lemahieu, "Reconstruction from magnetic resonanse data based on ridge functions," in Proc. EURASIP International Conference BIOSIGNAL 2000, pp. 216-218, Brno, Czech Republic, June 2000.