An application of wavelet shrinkage to tomography

Wavelets in Medicine and Biology

Volumn , Issue , 2017, Pages 77-92

  Kolaczyk, Eric D ^a  

^a University of Chicago   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008916421     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (18)

1. I. Daubechies. Ten Lectures on Wavelets. SIAM, 1992.
2. S. R. Deans. The Radon Transform and Some of Its Applications. John Wiley & Sons, New York, 1983.
3. A. H. Delaney and Y. Bresler. Multiresolution tomographic reconstruction using wavelets. IEEE Trans. Image Process., 6(6):799-813, 1995.
4. R. A. DeVore and B. J. Lucier. Fast wavelet techniques for near-optimal image processing. IEEE-ICASSP-93, IEEE Military Communications Conference, New York, 1992, 48.3.1-48.3.7.
5. D. L. Donoho. Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Appl. Comput. Harmon. Anal., 2:101-126, 1995.
6. D. L. Donoho and I. M. Johnstone. Adapting to unknown smoothness via wavelet shrinkage. J. Am. Statist. Assoc., 90:1200-1224, 1995.
7. D. L. Donoho, I. M. Johnstone, G. Kerkyacharian, and D. Picard. Wavelet Shrinkage: Asymptopia? J. Roy. Statist. Soc. Ser. B, 57:301-370, 1995.
8. E. D. Kolaczyk. Wavelet Methods for the Inversion of Certain Homogeneous Linear Operators in the Presence of Noisy Data. Ph.D. thesis, Department of Statistics, Stanford University, Stanford, CA, 1994.
9. E. D. Kolaczyk. A Wavelet Shrinkage Approach to Tomographic Image Reconstruction. J. Am. Statist. Assoc., 91, 1996.
10. G. P. Nason. Wavelet regression by cross-validation. Technical report 447, Department of Statistics, Stanford University, Stanford, CA, 1994.
11. T. Olson and J. DeStefano. Wavelet localization of the Radon transform. IEEE Trans. Signal. Process., 42(8):2055-2067, 1994.
12. F. Peyrin, M. Zaim, and R. Goutte. Construction of wavelet decompositions for tomographic images. J. Math. Imag. Vision, 3(1):105-121, 1993.
13. W. B. Richardson, Jr. Nonlinear filtering and multiscale texture discrimination for mammograms. SPIE Vol. 1768, Mathematical Methods in Medical Imaging, 293-305, 1992.
14. B. Sahiner and A. E. Yagle. Reconstruction from projections under time-frequency constraints. IEEE Trans. Med. Imag., 14(2):193-204, 1995.
15. L. A. Shepp and B. F. Logan. The Fourier reconstruction of a head section. IEEE Trans. Nucl. Sei., NS21(3):21-43, 1974.
16. M. Unser, A. Aldroubi, and M. Eden. A family of polynomial spline wavelet transforms. Signal Process., 30:141-162, 1993.
17. D. Walnut. Local inversion of the Radon transform in the plane using wavelets. In Proc. SPIE Conf., Wavelet Applications in Signal and Image Processing, San Diego, CA, 2034:84-91, 1993.
18. J. B. Weaver, X. Yansun, D. M. Healy, and L. D. Cromwell. Filtering noise from images with wavelet transforms. Magn. Reson. Med., 21(2):288-295, 1991.