Reconstruction of Convex Bodies of Revolution from the Areas of Their Shadows
نویسندگان
چکیده
In this note we reconstruct a convex body of revolution from the areas of its shadows by giving a precise formula for the support function.
منابع مشابه
Shadows of Convex Bodies
It is proved that if C is a convex body in R" then C has an affine image C (of nonzero volume) so that if P is any 1-codimensional orthogonal projection, \PC\>\C\{tt~l)/n. It is also shown that there is a pathological body, K , all of whose orthogonal projections have volume about \fh~ times as large as |Ä"| . 0. Introduction The problems discussed in this paper concern the areas of shadows (or...
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