Discrete tomography reconstructions with small boundary

Details Discrete tomography reconstructions with small boundary Discrete tomography reconstructions with small boundary

2010-11-24

arxiv.org/abs/1011.5351v1

Mathematics

Combinatorics

Scientific paper

We consider the problem of reconstructing binary images from their horizontal and vertical projections. For any reconstruction we define the length of the boundary of the image. In this paper we assume that the projections are monotone, and we construct an image satisfying these projections that has a relatively small boundary. We also give families of examples for which we show that no smaller boundary is possible.

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