Elsevier

Theoretical Computer Science

Volume 290, Issue 3, 3 January 2003, Pages 2169-2181
Theoretical Computer Science

Note
Algebraic aspects of emission tomography with absorption

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Abstract

In a previous paper the authors analysed the classical discrete tomography problem to construct a 0–1-matrix with given line sums in some given directions. One of the physical representations is that material at the lattice points corresponding to 1's emit units of radiation and that the radiation is measured along the given lines. In the present paper they extend their approach to the case that the intermediate material is absorbing the radiation. They generalise results obtained by Kuba and Nivat.

MSC

92C55 (15A36)

Keywords

Discrete tomography
Absorption
Emission tomography
Chinese Remainder Theorem

Cited by (0)

The research was supported in part by the Netherlands Organization for Scientific Research (NWO). The first author was further supported by the Hungarian Academy of Sciences, by the János Bolyai Research Fellowship, by grants F034981 and T029330 of the Hungarian National Foundation for Scientific Research and by the FKFP grant 3272-13/066/2001.