Local Uncertainty in Binary Tomographic Reconstruction

László Varga, László G. Nyúl, Antal Nagy, and Péter Balázs


Binary tomography, reconstruction, optimization, uncertainty


We describe a new approach for the uncertainty problem arising in the field of discrete tomography, when the low number of projections does not hold enough information for an accurate, and reliable reconstruction. In this case the lack of information results in uncertain parts on the reconstructed image which are not determined by the projections and cannot be reliably reconstructed without additional information. We provide a method that can approximate this local uncertainty of reconstructions, and show how each pixel of the reconstructed image is determined by a set of given projections. We also give experimental results for validating our approach.

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