Discrete tomography with a very few views, using Gibbs priors and a Marginal Posterior Mode approach

We propose a marginal posterior mode (MPM) approach to the reconstruction of 3D label images from only a few projections, using Gibbs priors. This work is motivated by electron tomography of biological macromolecules. The strategy is to produce a tessellation of space into small voxels and label each voxel as containing ice, protein, or ribosomal nucleic acid (RNA), based on (because of the radiation damage) only a few electron micrographs.