Sets uniquely determined by projections on axes II Discrete case
Discrete Mathematics
Three-Dimensional Statistical Data Security Problems
SIAM Journal on Computing
On the computational complexity of reconstructing lattice sets from their x-rays
Discrete Mathematics
On the comptational complexity of determining polyatomic structures by X-rays
Theoretical Computer Science
Approximating Binary Images from Discrete X-Rays
SIAM Journal on Optimization
On the Reconstruction of Finite Lattice Sets from their X-Rays
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
Stability results for the reconstruction of binary pictures from two projections
Image and Vision Computing
A genetic algorithm for discrete tomography reconstruction
Genetic Programming and Evolvable Machines
A memetic approach to discrete tomography from noisy projections
Pattern Recognition
An island strategy for memetic discrete tomography reconstruction
Information Sciences: an International Journal
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The paper gives strong instability results for a basic reconstruction problem of discrete tomography, an area that is particularly motivated by demands from material sciences for the reconstruction of crystalline structures from images produced by quantitative high resolution transmission electron microscopy. In particular, we show that even extremely small changes in the data may lead to entirely different solutions. We will also give some indication of how one can possibly handle the ill-posedness of the reconstruction problem in practice.