Unique reconstructibility of convex compact sets from their projections
type: Item
instance of: scholarly article
title: Unique reconstructibility of convex compact sets from their projections
zbMATH Open document ID: 0729.52002
DOI: 10.1007/BF00970070
published in: Siberian Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: The n-dimensional convex sets \(V_ 1\) and \(V_ 2\) are orthogonally projected onto some given hyperplanes. It is proved if there exists a translation which transforms the image of \(V_ 1\) into the image of \(V_ 2\) for all of these projections then \(V_ 1\) can be translated into \(V_ 2\).
Mathematics Subject Classification ID: 52A20
zbMATH DE Number: 4205271
zbMATH Keywords: orthogonal projections
zbMATH Keywords: reconstruction
zbMATH Keywords: convex sets
author: Vladimir Golubyatnikov
reviewed by: Ágota H. Temesvári
MaRDI profile type: Publication
cites work: Q4747151
cites work: Q3811279
cites work: Q5599518
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description: scientific article; zbMATH DE number 4205271