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Unioue recoverability of convex compact sets from their projections

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Literature Cited

  1. A. D. Aleksandrov, “Concerning the theory of mixed volumes of convex bodies,” Mat. Sb.,2, 1205–1234 (1937).

    Google Scholar 

  2. V. P. Golubyatnikov, “On recovering the shape of a body from its projections,” Dokl. Akad. Nauk SSSR,262, 521–522 (1982).

    Google Scholar 

  3. V. P. Golubyatnikov, “On the unique determination of visible bodies from their projections,” Sib. Mat. Zh.,29, 92–96 (1988).

    Google Scholar 

  4. V. P. Golubyatnikov, “Questions of uniqueness of solutions to inverse problems of recovering the shape of a body from its projections,” Preprint No. 3 [in Russian], Siberian Branch of the Mathematics Institute, Academy of Sciences of USSR, Novosibirsk (1988).

    Google Scholar 

  5. R. J. Gardner and P. McMullen, “On Hammer's X-ray problem,” J. London Math. Soc.,21, 171–175 (1980).

    Google Scholar 

  6. A. A. Kirillov, “On a problem of I. M. Gel'fand,” Dokl. Akad. Nauk SSSR,137, 276–277 (1961).

    Google Scholar 

  7. N. B. Ayupova and V. P. Golubyatnikov, “Algorithms for solving the inverse problem of X-ray tomography,” in: 4th All-Union Symposium on Computational Tomogrpahy, Tashkent, October, 1989 [in Russian], Part 1, Inst. mat. Sib. Otdel. Akad. Nauk SSSR, “Kibernetika” Akad. Nauk Uzbekh. SSSR (1989), pp. 66–67.

  8. Yu. E. Anikonov, “A uniqueness theorem for convex surfaces,” Mat. Zametki,6, 115–117 (1969).

    Google Scholar 

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Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 6, pp. 196–199, November–December, 1990.

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Golubyatnikov, V.P. Unioue recoverability of convex compact sets from their projections. Sib Math J 31, 1043–1045 (1990). https://doi.org/10.1007/BF00970070

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  • DOI: https://doi.org/10.1007/BF00970070

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