Geodesic
On convexity of a~planar domain with a~pair of concave tomography projections
Matematičeskie trudy, Tome 11 (2008) no. 2, pp. 107-114

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We describe simple sufficient conditions on tomography-type measurements of a planar set which imply convexity of this set. The cases of partial convexity and higher-dimensional sets are considered as well. 
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     author = {V. P. Golubyatnikov},
     title = {On convexity of a~planar domain with a~pair of concave tomography projections},
     journal = {Matemati\v{c}eskie trudy},
     pages = {107--114},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2008_11_2_a2/}
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V. P. Golubyatnikov. On convexity of a~planar domain with a~pair of concave tomography projections. Matematičeskie trudy, Tome 11 (2008) no. 2, pp. 107-114. http://geodesic.mathdoc.fr/item/MT_2008_11_2_a2/