References

  1. Yu. E. Anikonov, Some methods for Studing Multidimensional Infese Problems for Differential Equations (in Russian), Nauka,Novosibirsk, 1978.
  2. A.S. Blagoveshenskii, Mat. Zametki,vol.39, no.6, 1986.
  3. A.S. Denisjuk. The Study of Integral Geometry in Real Spaces,Thesis M.V. Lomonosov MSU, Mech.-mat. dept., Moscow,1991.
  4. D. V.Finch. Cone beam reconstruction with sources on a curve. SIAM. J. APPL. MATH. 1985, vol.45, No 4,665-671.
  5. I. M. Gelfand, A.B.Goncharov. Reconstruction of a finite function from its integrals on lines intersecting a set of points in the space. Dokl. Akad. Nauk SSSR, 290(1986), pp.1037-1040.
  6. I.M. Gelfand, G.E. Shilov. Distributions, v.1,Distributions and actions over them, Moscow, 1959.
  7. P. Grangeat. Analyse d'une systeme d'imagerie 3D par reconstruction a partier de radiographies X en geometrie conque. These de doctorat, Grenoble, 1987.
  8. A. A. Kirillov. On a problem of I. M. Gel'fand, Dokl. Akad. Nauk SSSR, 37(1961), pp.276-277; Eng. trans. Soviet Math. Dokl., 2(1961), pp.268-269.
  9. F. Natterer. The mathematics of computerized tomography. B.G.Teubner, Stuttgart, and John Wiley & Sons Ltd, 1986.
  10. S.S. Orlov, Kristallografia, vol. 20, no 4, 1975.
  11. P.Rizo, P.Grangeat, P.Sire, P. Lemanssson, P. Melennec Comparison of two three-dimensional x-ray cone-beam-reconstruction algorithms with circular sourse trajectories. JOSA, Ser.A, vol.8, no.10 ,pp. 1639-1648,1991.
  12. V. I. Semyanisti. Homogeneous functions and some problems of integral geometry in spaces of constant curvature, Dokl. Akad. Nauk SSSR, 136(1961), pp.288-291; Eng. trans. Soviet Math. Dokl., 2(1961), pp.59-62.
  13. K.K. Smirnov, O.E. Trofimov. Reconstrution of the density function from its line integrals. Conference " Automation of scientific researches on base applications of computers", (abstracts), Institute of Automation and Electrometry, Siberian Branch of Academy of Sciences USSR& Novosibirsk, 1979.
  14. B.D. Smith. Image reconstruction from cone-beam projections necessary and sufficient conditions and reconstruction methods. IEEE Trans. Med. Image. MI-4, 14-28 (1985).
  15. B.D. Smith. Cone-beam tomography: recent advances and a tutorial review. Optical Engenering, May 1990, Vol 29, N5, pp. 524-534.
  16. H. K.Tuy. An inversion formula for cone-beam reconstruction. SIAM. J. APPL. MATH. 1983, vol.43, No 3,546-552.
  17. O.E. Trofimov, L.W. Tiurenkova. One method numerical reconstrution of the density function from its tomogramm. Preprint N.440,Institute of Automation and Electrometry, Siberian Branch of Academy of Sciences USSR& Novosibirsk, 1989.
  18. O.E. Trofimov, On the problem of reconsruction of of a function of three variables from its integral along straigt limes crossing a specified curve. Optoelectronics Istrumenttation and Data Processing (Avtometriya) 1991, no.5, pp. 56-62.
  19. G.L. Zeng, R. Clack, G.T. Gulberg Implementation of Tuy's Cone Beam Inversion Formula. 1993 International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, Snowbird, Utah, USA.
  20. W.T. Zhirnov, K.K. Smirnov, O.E. Trofimov. Numerical methods in tomography, in "Methods and means of image processing" proceedings of Institute of Automation and Electrometry, Siberian Branch of Academy of Sciences USSR& Novosibirsk, 1982.

[ Prev | Contents]

Comments to: trofimov@iae.nsk.su