We give some uniqueness results for the problem of determining a finite set in the plane knowing its projections along m directions. We apply the results to the problem of the reconstruction of a homogeneous convex body with a finite set of spherical disjoint holes. If m X-ray pictures with directions in some plane are given, then the problem is well posed provided the number of the holes is less than or equal to m and the set of the directions satisfies a suitable condition. © 1990 Springer-Verlag New York Inc.

Reconstructing plane sets from projections / G. Bianchi; M. Longinetti. - In: DISCRETE & COMPUTATIONAL GEOMETRY. - ISSN 0179-5376. - STAMPA. - 5:(1990), pp. 223-242. [10.1007/BF02187787]

Reconstructing plane sets from projections

BIANCHI, GABRIELE;LONGINETTI, MARCO
1990

Abstract

We give some uniqueness results for the problem of determining a finite set in the plane knowing its projections along m directions. We apply the results to the problem of the reconstruction of a homogeneous convex body with a finite set of spherical disjoint holes. If m X-ray pictures with directions in some plane are given, then the problem is well posed provided the number of the holes is less than or equal to m and the set of the directions satisfies a suitable condition. © 1990 Springer-Verlag New York Inc.
1990
5
223
242
G. Bianchi; M. Longinetti
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/341270
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