Geodesic
Radon transformations and zonoids
Matematičeskie zametki, Tome 59 (1996) no. 2, pp. 254-260.

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The class of compact sets known as zonoids or Steiner's (compact) sets, i.e., compact sets that are positive linear combinations (possibly, “continuous” ones) of segments, are described in terms of the Radon transformation. 
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A. B. Sekerin. Radon transformations and zonoids. Matematičeskie zametki, Tome 59 (1996) no. 2, pp. 254-260. http://geodesic.mathdoc.fr/item/MZM_1996_59_2_a9/

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