Geodesic
Unique determination of a convex surface and of a function defined on it
Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 421-424.

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In this paper we prove that a convex surface and a function defined on it are uniquely determined if we know the integrals of this function on the illuminated parts and the orthogonal projections of the required convex surface. 
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     author = {Yu. E. Anikonov},
     title = {Unique determination of a convex surface and of a function defined on it},
     journal = {Matemati\v{c}eskie zametki},
     pages = {421--424},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a8/}
}
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Yu. E. Anikonov. Unique determination of a convex surface and of a function defined on it. Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 421-424. http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a8/