1 Excerpt

- Published 2005 in Electronic Notes in Discrete Mathematics

This paper studies the classical tomographical problem of the reconstruction of a binary matrix from projections in presence of absorption. In particular, we consider two projections along the horizontal and vertical directions and the mathematically interesting case of the absorption coefficient β0 = 1+ √ 5 2 . After proving some theoretical results on the switching components, we furnish a fast algorithm for solving the reconstruction problem from the horizontal and vertical absorbed projections. As a significative remark, we obtain also the solution of the related uniqueness problem.

@article{Frosini2005AnEA,
title={An efficient algorithm for reconstructing binary matrices from horizontal and vertical absorbed projections},
author={Andrea Frosini and Simone Rinaldi and Elena Barcucci and Attila Kuba},
journal={Electronic Notes in Discrete Mathematics},
year={2005},
volume={20},
pages={347-363}
}