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Dokumenttyp:
Zeitschriftenaufsatz 
Autor(en):
Alpers, A. and D.G. Larman 
Titel:
The Smallest Sets of Points not Determined by Their X-rays 
Abstract:
Let F be an n-point set in Kd with K∈{R,Z} and d≥2. A (discrete) X-ray of F in direction s gives the number of points of F on each line parallel to s. We define ψKd(m) as the minimum number n for which there exist m directions s1,...,sm (pairwise linearly independent and spanning Rd) such that two n-point sets in Kd exist that have the same X-rays in these directions. The bound ψZd(m)≤2m−1 has been observed many times in the literature. In this note we show ψKd(m)=O(md+1+ε) for ε>0. For the case...    »
 
Zeitschriftentitel:
Bulletin of the London Mathematical Society 
Jahr:
2015 
Heft / Issue:
47 
Seitenangaben Beitrag:
171-176 
Reviewed:
ja 
Sprache:
en 
Verlag / Institution:
Wiley 
Status:
Postprint / reviewed 
TUM Einrichtung:
Lehrstuhl für Angewandte Geometrie und Diskrete Mathematik