Noise characterization of combined bellini-type attenuation correction and frequency-distance principle restoration filtering

IEEE Transactions on Nuclear Science

Volumn 43, Issue 6 PART 2, 1996, Pages 3278-3290

  Soares, E J ^a  

^a Department of Biology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; FOURIER TRANSFORMS; IMAGE RECONSTRUCTION; OPTICAL COLLIMATORS; OPTICAL FILTERS; SPURIOUS SIGNAL NOISE;

BELLINI TYPE ATTENUATION CORRECTION; FREQUENCY DISTANCE PRINCIPLE RESTORATION FILTERING; SINGLE PHOTON EMISSION COMPUTED TOMOGRAPHY (SPECT);

COMPUTERIZED TOMOGRAPHY;

EID: 0030372724     PISSN: 00189499     EISSN: None     Source Type: Journal    
DOI: 10.1109/23.552737     Document Type: Article

References (29)

1. T. F. Budinger, G. T. Gullberg, and R. H. Huesman, "Emission computed tomography," in Image Reconstruction from Projections, G. T. Herman, Ed. New York: Springer-Verlag, 1979, pp. 147-246.
2. K. Knesaurek, M. A. King, S. J. Glick, and B. C. Penney, "Investigation of causes of geometric distortion in 180 and 360° angular sampling SPECT," J. Nud. Med., vol. 30, pp. 1666-1675, 1989.
3. P. J. Maniawski, H. T. Morgan, and F. J. Wackers, "Orbit related variation in spatial resolution as a source of artifactual defects in Tl-201 SPECT," J. Nud. Med., vol. 31, p. 718, 1990.
4. B. R. Zeeberg, A. N. Bice, S. Loncaric, and H. N. Wagner, "A theoretically correct algorithm to compensate for the three-dimensional spatially-varying point spread function in SPECT imaging," in Information Processing in Medical Imaging, C. N. Degraff and M. A. Viergever, Eds. New York: Plenum, June 1988, pp. 245-254.
5. C. R. Appledorn, "An analytical solution to the nonstationary resolution reconstruction problem in SPECT," in Information Processing in Medical Imaging, D. A. Ortendahl et al., Eds. New York: Liss, 1989, pp. 69-79.
6. R. M. Lewitt, P. R. Edholm, and W. Xia, "Fourier method for correction of depth-dependent collimator blurring," SPIE Proc., vol. 1092, pp. 232-243, 1989.
7. S. Bellini, M. Piacentini, C. Cafforio, and F. Rocca, "Compensation for tissue absorption in emission tomography," IEEE Trans. Acoust. Speech Signal Processing, vol. 27, pp. 213-218, 1979.
8. O. Tretiak and C. E. Metz, "The exponential Radon transform," SIAM J. Appl. Math., vol. 39, pp. 341-354, 1980.
9. T. Inouye, K. Kose, and A. Hasegawa, "Image reconstruction algorithm for single-photon emission computed tomography with uniform attenuation," Phys. Med. Biol., vol. 34, pp. 299-304, 1989.
10. C. E. Metz and X. Pan, "A unified analysis of exact methods of inverting the 2D exponential Radon transform," IEEE Trans. Med. Imag., vol. 14, pp. 643-658, 1995.
11. E. J. Soares, C. L. Byrne, S. J. Glick, C. R. Appledorn, and M. A. King, "Implementation and evaluation of an analytical solution to the photon attenuation and nonstationary resolution reconstruction problem in SPECT," IEEE Trans. Nucl. Sei, vol. 40, pp. 1231-1237, 1993.
12. L. van Elmbt and S. Walrand, "Simultaneous correction of attenuation and distance-dependent resolution in SPECT: An analytical approach," Phys. Med. Biol., vol. 38, pp. 1207-1216, 1993.
13. B. M. W. Tsui, H. Hu, D. R. Gilland, and G. T. Gullberg, "Implementation of simultaneous attenuation and detector response correction in SPECT," IEEE Trans. Nucl. Sei., vol. 35, pp. 778-783, 1988.
14. G. L. Zeng and G. T. Gullberg, "Three-dimensional iterative reconstruction algorithms with attenuation and geometric point response correction," IEEE Trans. Nucl. Sei., vol. 38, pp. 693-702, 1991.
15. Z. Liang, "Compensation for attenuation, scatter, and detector response in SPECT reconstruction via iterative FBP methods," Med. Phys., vol. 40, pp. 1097-1106, 1993.
16. H. M. Hudson and R. S. Larkin, "Accelerated image reconstruction using ordered subsets of projection data," IEEE Trans. Med. Imag., vol. 13, pp. 601-609, 1994.
17. C. L. Byrne, "Concerning block-iterative methods for image reconstruction from projections," submitted for publication in IEEE Trans. Imag. Proc.
18. S. J. Glick, B. C. Penney, M. A. King, and C. L. Byrne, "Noniterative compensation for the distance-dependent detector response and photon attenuation in SPECT imaging," IEEE Trans. Med. Imag., vol. 13, pp. 363-374, June 1994.
19. W. Xia, R. M. Lewitt, and P. R. Edholm, "Fourier correction for spatially variant collimator blurring in SPECT," IEEE Trans. Med. Imag., vol. 14, pp. 100-115, Mar. 1995.
20. E. J. Scares, "Attenuation, noise, and image-quality in single-photon emission computed tomography," Ph.D. dissertation, University of Arizona, 1994.
21. X. Pan and C. E. Metz, "Analysis of noise properties of a class of exact methods of inverting the 2-D exponential Radon transform," IEEE Trans. Med. Imag., vol. 14, pp. 659-668, 1995.
22. H. H. Barren, "Objective assessment of image quality: effects of quantum noise and object variability," J. Opt. Soc. Amer., vol. 7, pp. 1266-1278, 1990.
23. T.-S. Pan, D.-S. Luo, and M. A. King, "Design of an efficient 3D projector and backprojector pair for SPECT," in Proc. 1995 Int. Meet, on Fully 3D Image Reconstruction in Radiology and Nuclear Medicine, Aix-les-Bains, France, July 1995, pp. 181-185.
24. R. L. Siddon, "Fast calculation of the exact radiological path for a three-dimensional CT array," Med. Phys., vol. 12, pp. 252-255, 1985.
25. K. V. Mardia, J. T. Kent, and J. M. Bibby, Multivariate Analysis. New York: Academic, 1979.
26. H. H. Barrett and W. Swindell, Radiological Imaging: The Theory of Image Formation, Detection, and Processing, vol. 1. New York: Academic, 1981, pp. 104-112.
27. A. Papoulis, Signal Analysis. New York: McGraw-Hill, 1977, p. 64.
28. M. Adams and V. Guillemin, Measure Theory and Probability. Monterey, CA: Wadsworth and Brooks, 1986, pp. 124-129.
29. S. J. Click, "Iterative restoration of SPECT projection images," submitted for publication in IEEE Trans Nucl. Sci.