Noise properties of periodic interpolation methods with implications for few-view tomography

IEEE Transactions on Nuclear Science

Volumn 46, Issue 3 PART 2, 1999, Pages 639-645

  La Riviere P J ^a   Pan, X ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS; IMAGE RECONSTRUCTION; INTERPOLATION; INVERSE PROBLEMS; NUMERICAL ANALYSIS; NYQUIST DIAGRAMS; SPURIOUS SIGNAL NOISE; STATISTICAL METHODS;

CIRCULAR SAMPLING THEOREM INTERPOLATION; FEW VIEW TOMOGRAPHY; NOISE PROPERTIES; PERIODIC INTERPOLATION METHODS; ZERO PADDING INTERPOLATION;

TOMOGRAPHY;

EID: 0033312930     PISSN: 00189499     EISSN: None     Source Type: Journal    
DOI: 10.1109/23.775592     Document Type: Article

References (20)

1. R. A. Brooks, G. H. Weiss, and A. J. Talbert, "A new approach to interpolation in computed tomography," J. Comput. Assist. Tomogr., vol. 2, pp. 577-585, 1978.
2. H. Stark, J. W. Woods, I. Paul, and R. Hingorani, "Direct Fourier reconstruction in computer tomography," IEEE Trans. Acousî., Speech, Signal Processing, vol. 29, pp. 237-245, 1981.
3. H. Stark, "Sampling theorems in polar coordinates," J. Opt. Soc. Am., vol. 69, pp. 1519-1525,1979.
4. H. Stark and M. Wengrovitz. "Comments and corrections on the use of polar sampling theorems in CT," IEEE Trans. Acoust., Speech, Signal Processing, vol. 31, pp. 1329-1331,1983.
5. R. W. Schafer and L. R. Rabiner, "A digital signal processing approach to interpolation," Proc. IEEE, vol. 61, pp. 692-702, 1973.
6. K. P. Prasad and P. Satyanarayana, "Fast interpolation algorithm using FFT," Electron. Lett., vol. 22, pp. 185-187, 1986.
7. D. Fräser, "Interpolation by the FFT revisited-an experimental investigation," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 665-675, 1989.
8. L8J T. J. Cavicchi, "DFT time-domain interpolation," IEE Pmceedings-F, vol. 139, pp. 207-211, 1992.
9. P. J. La Rivière and X. Pan, "Mathematical equivalence of zero-padding and circular sampling thorem interpolation with implications for direct Fourier image reconstruction," in Proc. SPIE, vol. 3338, pp. 1117-1126,1998.
10. H. Spath, One-Dimensional Spline Interpolation Algorithms. Wellesley, MA: A. K. Peters, 1993.
11. C. H. Reinsch, "Smoothing by spline functions," Numer. Math., vol. 10, pp. 177-183,1967.
12. P. J. La Rivière and X. Pan, "Comparison of angular interpolation approaches in few-view tomography using statistical hypothesis testing," in Proc. SPIE, vol. 3661, 1999. (To appear).
13. E. O. Brigham, The Fast Fourier Transform and Its Applications. Englewood Cliffs: Prentice Hall, 1988.
14. P. J. Green and B. W. Silverman, Nonparametric Regression and Generalized Linear Models. London: Chapman Hall, 1994.
15. L. A. Shepp and B. F. Logan, "The Fourier reconstruction of a head section," IEEE Trans. Nucl. Sei., vol. 21, pp. 21 -43, 1974.
16. International Comission on Radiation Units and Measurements, "Medical imaging: The assessment of image quality," 7910 Woodmont Ave., Bethesda. MD, 20814, 1996.
17. S. C. Moore, M. F. Kijewski, S. P. Müller, and D. L. Holman, "SPECT image noise power: Effects of nonstationary projection noise and attenuation compensation," J. Nucl. Med., vol. 29, pp. 1704-1709, 1988.
18. K. Hanson, "Detectability in computed tomographic images," Med. Phys., vol. 6, pp. 441-451,1979.
19. A. Papoulis, Probability, Random Variables, and Stochastic Processes. New York: McGraw Hill, 1991.
20. R. J. Marks, Introduction to Shannon Sampling and Interpolation Theory. New York: Springer Verlag, 1991.