Sets uniquely determined by projections on axes II Discrete case
Discrete Mathematics
On the computational complexity of reconstructing lattice sets from their x-rays
Discrete Mathematics
Stability in Discrete Tomography: some positive results
Discrete Applied Mathematics - Special issue: Advances in discrete geometry and topology (DGCI 2003)
Binary matrices under the microscope: a tomographical problem
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Generic iterative subset algorithms for discrete tomography
Discrete Applied Mathematics
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Additive subsets have been introduced in the framework of discrete tomography with the underlying notion of x-rays. This notion can be defined from two different ways. We provide in the paper extensions of the two definitions and a proof of their equivalence in a framework where x-rays are replaced by any subsets. It results a pair of dual definitions of additivity cleared out from dispensable assumptions and a proof of their equivalence reduced to a separation theorem.