Unique reconstruction of bounded sets in discrete tomography
L Hajdu - Electronic Notes in Discrete Mathematics, 2005 - Elsevier
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 approach this result can easily be extended to any lattice, in
any dimension.
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 approach this result can easily be extended to any lattice, in
any dimension.
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