On convexity of a planar domain with a pair of concave tomography projections |
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Authors: | V P Golubyatnikov |
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Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia |
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Abstract: | 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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Keywords: | convexity concavity geometric tomography rearrangement of a function |
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