01428nas a2200157   4500008004100000245008400041210006900125260002900194300001200223490000600235520084300241100002701084700002001111700001601131856012301147       2015                        eng d00aDiscrete tomographic reconstruction via adaptive weighting of gradient descents0 aDiscrete tomographic reconstruction via adaptive weighting of gr  bTaylor&FranciscFeb 2014  a101-1090 v33 a<p>Discrete tomography (DT) is a set of tools for reconstructing the inner structure of objects consisting of only few different homogeneous materials. We propose a new method for multivalued DT, which performs the reconstruction as an energy minimisation task. For this algorithm, we define an energy function that can mathematically formulate the reconstruction task, and design a novel optimisation process for approximating the minima of this energy function. We validate the algorithm by comparing its performance with other cutting-edge reconstruction algorithms from the literature. We show that our method can compete with the currently used reconstruction techniques and under certain circumstances (e.g. with a low number of projections, or when the projection data are affected by random noise) it can even outperform them.</p>1 aVarga, László Gábor1 aBalázs, Péter1 aNagy, Antal  uhttps://www.inf.szte.hu/en/publication/discrete-tomographic-reconstruction-via-adaptive-weighting-of-gradient-descents