On the difference between solutions of discrete tomography problems

Details On the difference between solutions of discrete tomography problems On the difference between solutions of discrete tomography problems

2008-06-23

arxiv.org/abs/0806.3722v1

Mathematics

Combinatorics

Scientific paper

We consider the problem of reconstructing binary images from their horizontal and vertical projections. We present a condition that the projections must necessarily satisfy when there exist two disjoint reconstructions from those projections. More generally, we derive an upper bound on the symmetric difference of two reconstructions from the same projections. We also consider two reconstructions from two different sets of projections and prove an upper bound on the symmetric difference in this case.

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