We focus on three-dimensional reconstruction when a few two-dimensional noisy projections are available with limited angle projections. Furthermore, in this paper, the projections are not calibrated since they are given up to a multiplicative constant. With such incomplete data, classical techniques fail to produce acceptable reconstructions. It is well known that the introduction of regularization in the form of a cost function penalizing irregularity of the reconstructed object can improve performance. However, to obtain an accurate reconstruction, it is necessary to estimate the parameters of the cost function.
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