Abstract
We consider the problem of reconstructing a binary matrix from its row and column sums with the additional constraint that for each row and column the number of strips (consecutive 1 s of maximal length) is given. The problem is connected both to binary tomography and to nonogram puzzles, and is in general NP-hard. Here, we propose an integer programming framework and an approximation algorithm based on simulated annealing to solve this issue. The effectiveness of the two methods are compared on randomly generated binary matrices.
This research was supported by the NKFIH OTKA [grant number K112998] and by the project “Integrated program for training new generation of scientists in the fields of computer science”, no EFOP-3.6.3-VEKOP-16-2017-0002. The project has been supported by the European Union and co-funded by the European Social Fund.
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Balázs, P., Szűcs, J. (2018). Reconstruction of Binary Images with Fixed Number of Strips. In: Campilho, A., Karray, F., ter Haar Romeny, B. (eds) Image Analysis and Recognition. ICIAR 2018. Lecture Notes in Computer Science(), vol 10882. Springer, Cham. https://doi.org/10.1007/978-3-319-93000-8_2
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DOI: https://doi.org/10.1007/978-3-319-93000-8_2
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