Summary
The main result of this paper is an estimate of the Hausdorff distance between two centrally symmetric bodies T1 and T2 of R3 by the L2 -norm of A(T1; z) — A(T2; z). Here A(Ti; z), i=1, 2, is the area of the orthogonal projection of Ti in the direction z.
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Work supported by Istituto di Analisi Globale e Applicazioni — C.N.R., Firenze.
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Campi, S. Recovering a centred convex body from the areas of its shadows: a stability estimate. Annali di Matematica pura ed applicata 151, 289–302 (1988). https://doi.org/10.1007/BF01762800
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DOI: https://doi.org/10.1007/BF01762800