01719nas a2200157   4500008004100000020001400041245007000055210006900125260000900194520115400203100002701357700002801384700001601412700002001428856011301448       2014                        eng d  a1077-314200aLocal and global uncertainty in binary tomographic reconstruction0 aLocal and global uncertainty in binary tomographic reconstructio  c20143 a<p>In binary tomography the goal is to reconstruct the innerstructure of homogeneous objects from their projections. This is usually required from a low number of projections, which are also likely to be aﬀected by noise and measurement errors. In general, the distorted and incomplete projection data holds insuﬃcient information for the correct reconstruction of the original object. In this paper, we describe two methods for approximating the local uncertainty of the reconstructions, i.e., identifying how the information stored in the projections determine each part of the reconstructed image. These methods can measure the uncertainty of the reconstruction without any knowledge from the original object itself. Moreover, we provide a global uncertainty measure that can assess the information content of a projection set and predict the error to be expected in the reconstruction of a homogeneous object. We also give an experimental evaluation of our proposed methods, mention some of their possible applications, and describe how the uncertainty measure can be used to improve the performance of the DART reconstruction algorithm.</p>1 aVarga, László Gábor1 aNyúl, László, Gábor1 aNagy, Antal1 aBalázs, Péter  uhttps://www.inf.u-szeged.hu/en/publication/local-and-global-uncertainty-in-binary-tomographic-reconstruction