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Unique determination of visible bodies from their projections. (English. Russian original) Zbl 0721.53012

Sib. Math. J. 29, No. 5, 761-764 (1988); translation from Sib. Mat. Zh. 29, No. 5(171), 92-96 (1988).
See the review in Zbl 0662.53004.

MSC:

53A07 Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces
52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces)

Citations:

Zbl 0662.53004
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References:

[1] A. V. Pogorelov, Extrinsic Geometry of Convex Surfaces [in Russian], Nauka, Moscow (1969). · Zbl 0192.59403
[2] W. Blaschke, Kreis und Kugel, 2nd ed., Walter de Gruyter, Berlin (1956).
[3] Yu. E. Anikonov, ?A uniqueness theorem for convex surfaces,? Mat. Zametki,6, No. 1, 115-117 (1969). · Zbl 0202.21701
[4] A. D. Aleksandrov, ?On the theory of mixed volumes of convex bodies,? Mat. Sb.,2, No. 6, 1205-1234 (1937).
[5] V. P. Golubyatnikov, ?On the restoration of the form of a body from its projections,? Dokl. Akad. Nauk SSSR,262, No. 3, 521-522 (1982).
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