Sets uniquely determined by projections on axes II Discrete case

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Sets uniquely determined by projections on axes II Discrete case

Fishburn, P. A subset S of N " = { 1,2,. , N} " is a discrete set of uniqueness if it is the only subset of N " with projections P,, Sets of uniqueness and additive sets are characterized by the absence of certain configurations in the lattice N ". The characterization shows that every additive set is a set of uniqueness. If n = 2, every set of uniqueness is also additive. However, when II 3 3,...

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In this paper we prove several new stability results for the reconstruction of binary images from two projections. We consider an original image that is uniquely determined by its projections and possible reconstructions from slightly different projections. We show that for a given difference in the projections, the reconstruction can only be disjoint from the original image if the size of the ...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1991

ISSN: 0012-365X

DOI: 10.1016/0012-365x(91)90106-c