On the precise number of (0,1)-matrices in U(R,S)
Discrete Mathematics
Reconstructing hv-convex polyominoes from orthogonal projections
Information Processing Letters
On the computational complexity of reconstructing lattice sets from their x-rays
Discrete Mathematics
Theoretical Improvements in Algorithmic Efficiency for Network Flow Problems
Journal of the ACM (JACM)
New ideas in optimization
Memetic Algorithms and the Fitness Landscape of the Graph Bi-Partitioning Problem
PPSN V Proceedings of the 5th International Conference on Parallel Problem Solving from Nature
An introduction to periodical discrete sets from a tomographical perspective
Theoretical Computer Science
An evolutionary algorithm for discrete tomography
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
Fitness landscape analysis and memetic algorithms for the quadratic assignment problem
IEEE Transactions on Evolutionary Computation
An Evolutionary Approach for Object-Based Image Reconstruction Using Learnt Priors
SCIA '09 Proceedings of the 16th Scandinavian Conference on Image Analysis
A benchmark set for the reconstruction of hv-convex discrete sets
Discrete Applied Mathematics
A memetic approach to discrete tomography from noisy projections
Pattern Recognition
Natural and remote sensing image segmentation using memetic computing
IEEE Computational Intelligence Magazine
Direction-dependency of binary tomographic reconstruction algorithms
Graphical Models
Direction-dependency of a binary tomographic reconstruction algorithm
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
An island strategy for memetic discrete tomography reconstruction
Information Sciences: an International Journal
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This paper deals with a memetic algorithm for the reconstruction of binary images, by using their projections along four directions. The algorithm generates by network flows a set of initial images according to two of the input projections and lets them evolve toward a solution that can be optimal or close to the optimum. Switch and compactness operators improve the quality of the reconstructed images which belong to a given generation, while the selection of the best image addresses the evolution to an optimal output.