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Title:

Uniqueness in discrete tomography: Three remarks and a corollary

Document type:
Zeitschriftenaufsatz
Author(s):
Gritzmann, P., B. Langfeld and M. Wiegelmann
Abstract:
Discrete tomography is concerned with the retrieval of finite point sets in some $\mathbbm{R}^d$ from their X-rays in a given number m of directions $u_1,\ldots, u_m$. In the present paper we focus on uniqueness issues. The first remark gives a uniform treatment and extension of known uniqueness results. In particular, we introduce the concept of J-additivity and give conditions when a subset J of possible positions is already determined by the given data. As a by-product, we settle a conjecture...     »
Journal title:
SIAM Journal on Discrete Mathematics
Year:
2011
Journal issue:
25
Pages contribution:
1589-1599
Reviewed:
ja
Language:
en
TUM Institution:
Lehrstuhl für Angewandte Geometrie und Diskrete Mathematik
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