Generalized support constraint for three-dimensional reconstruction from incomplete Fourier spectra

Journal of Electronic Imaging

Volumn 6, Issue 4, 1997, Pages 426-438

  Payot, Etienne ^a,d,e   Prêteux, Françoise J ^b   Trousset, Yves ^c,e   Guillemaud, Régis ^a  

^a CEA LETI   (France)

^b INSTITUT NATIONAL DES TÉLÉCOMMUNICATIONS   (France)

^c GE HEALTHCARE   (France)

^d CPE LYON   (France)

^e TELECOM PARISTECH   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005416651     PISSN: 10179909     EISSN: 1560229X     Source Type: Journal    
DOI: 10.1117/1.482549     Document Type: Article

References (16)

1. H. K. Tuy, "An inversion formula for cone-beam reconstruction," SIAM J. Appl. Math. 43, 546-552 (1983).
2. A. Klug and R. A. Crowther, "Three dimensional image reconstruction from the view point of information theory," Nature 228, 435- 440 (1972).
3. R. W. Gerchberg, "Super-resolution through error energy reduction," Opt. Acta 21, 709-720 (1974).
4. A. Papoulis, "A new algorithm in spectral analysis and band-limited extrapolation," IEEE Trans. Circ. Syst. CAS-22, 735 (Sep. 1975).
5. T. S. Sato, M. Linzer, S. J. Norton, O. Ikeda, and M. Hirama, "Tomographic image reconstruction from limited projections using iterative revisions in image and transforms space," Appl. Opt. 20(3), 395-399 (1981).
6. M. Defrise and C. de Mol, "A regularized iterative algorithm for limited-angle inverse radon transform," Opt. Acta 30(4), 403-408 (1983).
7. E. T. Jaynes, "Information theory and statistical mechanics I and II," Phys. Rev. 106, 629-630; 108, 171-190 (1957).
8. G. T. Herman, R. Gordon, and R. Bender, "Algebraic reconstruction technic (ART) for three dimensional electron microscopy and x-ray photography," J. Theor. Biol. 29, 471-481 (1970).
9. A. Lent, "A convergent algorithm for maximum entropy image restoration, with a medical x-ray application," in Proc. SPSE Conf., pp. 249-257 (1977).
10. G. Minerbo, "MENT: a maximum entropy algorithm for reconstructing a source from projection data," Comput. Graph. Image Process. 10, 48-68 (1979).
11. N. J. Dusaussoy and I. E. Abdou, "The extended MENT algorithm: a maximum entropy-type algorithm using prior knowledge for computerized tomography," IEEE Trans. Signal Process. 39(5), 1164-1180 (1991).
12. L. M. Bregman, "The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming," USSR Comput. Math. Mathemat. Phys. 7, 200-217 (1967).
13. D. Geman and G. Reynolds, "Constrained restoration and the recovery of discontinuities," IEEE Trans. Pattern Anal. Intell. 14(3), 367-383 (1992).
14. P. Charbonnier, "Reconstruction d'image: régularisation avec prise en compte des discontinuités," PhD thesis, Université de Nice-Sophia Antipolis (1994).
15. P. Charbonnier, M. Barlaud, L. Blanc-Feraud, and G. Aubert, "Deterministic edge-preserving regularization in computer imaging," IEEE Trans. Image Proc. (Jan. 1997).
16. G. T. Herman, Image Reconstruction from Projections, the Fundamental of Computerized Tomography, Academic Press (1980).