Comparison of four natural pixel bases for SPECT imaging

Journal of Computational and Applied Mathematics

Volumn 198, Issue 2, 2007, Pages 361-377

  Bevilacqua, R ^a   Bozzo, E ^a   Menchi, O ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

Ill posedness; Image processing; Regularization; Restoration

Indexed keywords

COMPUTERIZED TOMOGRAPHY; DATA REDUCTION; FAST FOURIER TRANSFORMS; MEDICAL IMAGING; PROBLEM SOLVING;

ILL-POSEDNESS; PIXEL DISCRETIZATION; POISSONIAN NOISE; REGULARIZATION;

IMAGE PROCESSING;

EID: 33748751079     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.07.027     Document Type: Article

References (15)

1. Bertero M., and Boccacci P. Introduction to Inverse Problems in Imaging (1998), Institute of Physics Publishing
2. R. Bevilacqua, E. Bozzo, O. Menchi, SPECT imaging reconstruction: proposal of an algorithm which exploits the matrix structure, Technical Report TR-01-12, Dipartimento di Informatica, Università di Pisa, 2001.
3. R. Bevilacqua, E. Bozzo, O. Menchi, SPECT imaging reconstruction through discretization on a polar grid, Technical Report TR-02-17, Dipartimento di Informatica, Università di Pisa, 2002.
4. Bex P.J., and Makous W. Spatial frequency, phase, and contrast of natural images. J. Opt. Soc. Am. 19 (2002) 1096-1106
5. Bindi D., Brianzi P., and Di Benedetto F. A Fourier approach to the natural pixel discretization of brain single-photon emission computed tomography. Int. J. Imaging Syst. Technol. 12 1 (2002) 1-8
6. P. Boccacci, P. Bonetto, P. Brianzi, P. Calvini, F. Di Benedetto, A.R. Formiconi, A. Passeri, The 2D+1 method for an efficient modelling of collimator blur in 3D SPECT imaging, Ann. Univ. Ferrara Sez. VII Sci. Mat. XIV (Suppl.) (2000).
7. Brianzi P., and Di Benedetto F. Exploiting matrix structures in SPECT models. In: Bini D., Tyrtyshnikov E., and Yalamov P. (Eds). Structured Matrices: Recent Developments in Theory and Computation (2001), Nova Science Publisher Inc., New York 165-175
8. Buonocore M.H., Brody W.R., and Macovsky A. A natural pixel decomposition for two-dimensional image reconstruction. IEEE Trans. Biomed. Eng. 28 (1981) 69-78
9. Golub G.H., and Van Loan C.F. Matrix Computation. third ed. (1996), Johns Hopkins University Press, Baltimore
10. Groch W., and Erwin W.D. SPECT in the year 2000: basic principles. J. Nucl. Med. 28 (2000) 233-244
11. Gullberg G.T., Hsieh Y.L., and Zeng G.L. An SVD reconstruction algorithm using a natural pixel representation of the attenuated Radon transform. IEEE Trans. Nucl. Sci. 43 (1996) 295-303
12. Gullberg G.T., and Zeng G.L. A reconstruction algorithm using singular value decomposition of a discrete representation of the exponential Radon transform using natural pixels. IEEE Trans. Nucl. Sci. 41 (1994) 2812-2819
13. Hoffman E.J., Cutler P.D., Digby W.M., and Mazziotta J.C. 3-D phantom to simulate cerebral blood flow and metabolic images for PET. IEEE Trans. Nucl. Sci. 37 (1990) 616-620
14. Hsieh Y.L., Gullberg G.T., Zeng G.L., and Huesman R.H. Image reconstruction using a generalized natural pixel basis. IEEE Trans. Nucl. Sci. 43 (1996) 2306-2319
15. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. 3-D phantom to simulate cerebral blood flow and metabolic images for PET. IEEE Trans. Nucl. Sci. 37 (1990) 616-620