A wavelet-based method for multiscale tomographie reconstruction

IEEE Transactions on Medical Imaging

Volumn 15, Issue 1, 1996, Pages 92-101

  Bhatia, M ^a   Karl, W C ^b   Willsky, A S ^c  

^a J P Morgan and Co Inc   (United States)

^b BOSTON UNIVERSITY   (United States)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FILTERED BACK PROJECTION; MAXIMUM A POSTERIORI; MULTISCALE TOMOGRAPHIC RECONSTRUCTION; RAMP FILTER MATRIX OPERATOR;

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; ESTIMATION; FRACTALS; MATHEMATICAL OPERATORS; MEDICAL IMAGING; OPTIMIZATION; PROBABILITY; WAVELET TRANSFORMS;

IMAGE RECONSTRUCTION;

EID: 0030081110     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/42.481444     Document Type: Article

References (26)

1. J. Llacer, Theory of imaging with a very limited number of projec lions, IEEE Trans. Nucl. Sei, vol. NS26, no. 1, pp. 596-602. Peb. 1979
2. A. C. Kak and M. Slaney, Principles of Computerized Tomographie Imaging. Piscataway, NJ: IEEE Press, 1988.
3. H. H. Barren, Image reconstruction and thé solution of inverse problems in medical imaging, in Médical Images: Formation, Handling and Evaluation, Proceedings of the NATO Advanced Study Institute on the Formation, Handling and Evaluation nf Medical Images, Portugal 1988. New York: Springer-Verlag, 1992, pp. 21-22
4. Donner Algorithms for Reconstruction Tomography, RECLBL Library Users Manual, Lawrence Berkeley Laboratory, Univ. California, 1977, pp. 35-42
5. P. J. Green, Bayesian reconstructions from emission tomography data using a modified em algorithm, IEEE Trans. Med. Imag., vol. 9, no I, pp. 84-93, 1990.
6. K. Sauer and C. Bouman, Bayesian estimation of transmission t mograms using segmentation based optimization, submitted to IEE Trans. Nucl. Sei.
7. F. Peyrin, M. Zaim, and R. Goutte, Multiscale reconstruction o tomographic images, in Proc. 1EEE-SP Int. Symp. Time-Freq. Tim Scale Anal, Oct. 1992, pp. 219-222.
8. B. Sahiner, and A. E. Yagle, Image reconstruction from projection under wavelet constraints, IEEE Trans. Signal Processing, Dec. 1993.
9. Limited angle tomography using the wavelet transform, preprint, Oct. 1993.
10. Z. Wu, MAP image reconstruction using wavelet decomposition, Lee Noies Compta. Sei., vol. 687, pp. 354-371, 1993.
11. J. DeStefano and T. Oison, Wavelet localization of the radon transfor in even dimensions, in Proc. IHEE-SP Int. Symp. Time-Frequency an Time-Scale Anal, Oct. 1992, pp. 137-140.
12. C. Berenstein, and D. Walnut, Local Inversion of the Radon Transfor in Even Dimensions Using Wavelets, Center For The Applications O Mathematics, George Mason Univ., Reference: CAM21/93, Jan. 1993.
13. P. A. Rattey, and A. G. Lindgren, Sampling the 2-D radon transform, IEEE Trans. Acoust, Speech, Signal Processing, vol. ASSP29, no. 5 pp. 994-1002, 1981.
14. A. M. Cormac, Sampling the radon transform with beams of finit width, Phys. Med. Biol, vol. 23, no. 6, pp. 1141-1148, 1978.
15. S. G. Mallat, A theory of multiresolution signal decomposition: Th wavelet representation, IEEE Trans. Pattern Anal. Machine Intell, vol II, no. 7, pp. 674-693, 1989.
16. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM 1992, pp. 167-213.
17. N. H. Getz, A perfectly invertible, fast, and complete wavelet transfor for finite length sequences: The discrete periodic wavelet transform, i Proc. SPlEAnnu. Conf. Math. Imag.: Wavelet Applicat. Signal and Imag Processing, San Diego, CA, July 1993.
18. I. Daubechies, Wavelet on the interval, in Progress in Wavelet Analysi and Applications, Y. Meyer and S. Roques, Eds. Santa Rosa, CA Frontiers, 1992, pp. 95-107.
19. G. Beylkin, R. Coifman, and V. Rokhlin, Fast wavelet transforms an numerical algorithms L Commun. Pure and Appl. Mathe., vol. XLIV pp. 141-183, 1991.
20. J. A. Fessier, Tomographic reconstruction using information-weighte spline smoothing. Lee. Notes Compul. Sei., vol. 687, pp. 372-386,1993.
21. G. W. Wornell, and A. V. Oppenheim, Estimation of fractal signal from noisy measurements using wavelets, IEEE Trans. Signal Processing, vol. 40, no. 3, pp. 611-623, Mar. 1992.
22. E. B. Cargill, H. H. Barrett, R. D. Fiete, M. Kcr, D. D. Patton, and G W. Seeley, ''Fractal physiology and nuclear medicine scans, SPIE Med Imag. II. vol. 9, no. 14, pp. 355-361, 1988.
23. B. J. West and A. L. Goldberger, Physiology in fractal dimensions, Amer. Scientist, vol. 75, pp. 354-365, 1987.
24. C. -C. Chen, J. S. Daponte, and M. D. Fox, Fractal texture analysi and classification in medical imaging, IEEE Trans. Med. Imug., vol. 8 no. 2, pp. 133-142, June 1989.
25. M. Luettgen, W. C. Karl, and A. S. Willsky, Efficient multiscal regularization with applications to the computation of optical flow, IEEE Trans. Image Processing, vol. 3, no. 1, pp. 41-64, Jan. 1994.
26. H. L. Van Trees, Detection, Estimation, and Modulation Theory. Ne York: Wiley, 1968, pp. 54-63.