Discrete Tomography determination of bounded sets in Zn
نویسندگان
چکیده
منابع مشابه
Unique reconstruction of bounded sets in discrete tomography
We consider the problem of recognizing arbitrary finite subsets of Z2 by X-rays corresponding to a small set of directions S. We show that if we fix any rectangle A in Z2 then there exists a so called valid set S of four directions (at least when A is not too ”small”) depending only on the size of A such that any two subsets of A can be distinguished, using these directions only. By our approac...
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We study the determination of finite subsets of the integer lattice Zn, n ≥ 2, by X-rays. In this context, an X-ray of a set in a direction u gives the number of points in the set on each line parallel to u. For practical reasons, only X-rays in lattice directions, that is, directions parallel to a nonzero vector in the lattice, are permitted. By combining methods from algebraic number theory a...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2015
ISSN: 0166-218X
DOI: 10.1016/j.dam.2014.01.016