References
- Yu. E. Anikonov, Some methods for Studing Multidimensional Infese Problems for Differential Equations (in Russian), Nauka,Novosibirsk, 1978.
- A.S. Blagoveshenskii, Mat. Zametki,vol.39, no.6, 1986.
- A.S. Denisjuk. The Study of Integral Geometry in Real Spaces,Thesis M.V. Lomonosov MSU, Mech.-mat. dept., Moscow,1991.
- D. V.Finch. Cone beam reconstruction with sources on a curve. SIAM. J. APPL. MATH. 1985, vol.45, No 4,665-671.
- 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.
- I.M. Gelfand, G.E. Shilov. Distributions, v.1,Distributions and actions over them, Moscow, 1959.
- P. Grangeat. Analyse d'une systeme d'imagerie 3D par reconstruction a partier de radiographies X en geometrie conque. These de doctorat, Grenoble, 1987.
- 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.
- F. Natterer. The mathematics of computerized tomography. B.G.Teubner, Stuttgart, and John Wiley & Sons Ltd, 1986.
- S.S. Orlov, Kristallografia, vol. 20, no 4, 1975.
- 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.
- 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.
- 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.
- 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).
- B.D. Smith. Cone-beam tomography: recent advances and a tutorial review. Optical Engenering, May 1990, Vol 29, N5, pp. 524-534.
- H. K.Tuy. An inversion formula for cone-beam reconstruction. SIAM. J. APPL. MATH. 1983, vol.43, No 3,546-552.
- 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.
- 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.
- 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.
- 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