Optimal time-frequency projections for localized tomography

Wavelets in Medicine and Biology

Volumn , Issue , 2017, Pages 263-296

  Olson, Tim ^a  

^a DARTMOUTH COLLEGE   (United States)

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EID: 85130238209     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (14)

1. Auscher, P., G. Weiss, and M. V. Wickerhauser, Local sine and cosine bases of Coifman and Meyer and the construction of smooth wavelets. In: Wavelets, A Tutorial in Theory and Applications, edited by C. Chui, Academic Press, New York, 237-256.
2. D. Walnut, Local inversion of the Radon transform in even dimensions using wavelets. In: Probabilistic and Stochastic Methods in Analysis, with Applications, edited by J. S. Byrnes, Kluwer, Boston, 1992, 187-205.
3. Berenstein, C. and D. Walnut, Local inversion of the Radon transform in even dimensions using wavelets. In: Proc. Conf.: 75 Years of the Radon Transform, Vienna, Austria, 1992, International Press, 1994, 38-58.
4. Coifman, R. R. and Y. Meyer, Remarques sur l'analyse de fourierã fenêtre, série I, C. R. Acad. Sci. Paris, 312, 259-261, 1991.
5. Donoho, D. L. and P. B. Stark, Uncertainty principles and signal recovery, SIAM J. Appl. Math., 49, 1989, 906-931.
6. Faridani, A., E. Ritman, and K. T. Smith, Examples of Local tomography, SIAM J. Appl. Math., 52, 1992, 1193-1198.
7. Faridani, A., F. Keinert, F. Natterer, E. L. Ritman, and K. T. Smith, Local and global tomography, Signal Processing (IMA Vols, in Math and Appl), Vol. 23, Springer Verlag, New York, 1990, 241-255.
8. Faridani, A., E. Ritman, and K. T. Smith, Local tomography, SIAM J. Appl. Math., 52, 459-484, 1992.
9. Louis, A. K. and A. Reider, Incomplete data problems in X-Ray computerized tomography, Numer. Math., 56, 371-383, 1989.
10. Maass, P., The interior Radon transform, SIAM J. Appl. Math., 52, 710-724, 1992.
11. Natterer, F., The Mathematics of Computerized Tomography, Wiley and Sons, Stuttgart, 1986, 222 pp.
12. Olson, T. and J. DeStefano, Wavelet localization of the Radon transform, IEEE Trans. Signal Process., 2056-2067, 1994.
13. Olson, T., "Optimal time-frequency projections for localized tomography", to appear, Ann. of Biomed. Eng., Sept-Oct. 1995.
14. Radon, J., Uber die Bestimmung von Funktionen durch ihre Integralwerte langs gewisser Mannigfaltigkeiten, Berichte Sächsishe Akademie der Wissenschaften, Liepzig, Math.-Phys.Kl, 69, 262-267.