In this paper, the binary tomographic reconstruction problem for very limited projection data availability is considered. Being this inverse problem highly ill-posed, we propose a new reconstruction model that uses a shape centroid-based regularization term, i.e., we assume that the center of gravity of the object of interest is known, at least approximately, in advance. Motivation for this regularization is found in the close connection between the projection data and the object centroid, as we will show. Experimental evaluation underpins that reasonable results can be obtained from practically minimal amount of projection data, gathered from just one projection direction.
Keywords: Binary tomography; Center of gravity; Energy minimization; Inverse problems; Reconstruction.
© The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature 2021.
