Comparison of limited-angle tomography algorithms based on the Cavalieri condition

A method of solving two-dimensional limited-angle tomography problems, based on the Cavalieri condition for the Radon transform, is investigated. Two algorithms realizing this approach are compared between themselves and also with the algorithm calculating missing projections from approximate tomograms. Numerical simulations show that all three algorithms allow the reconstruction accuracy to be improved in the case under consideration. Each of them, however, has certain specific features, which should be taken into account in solving practical tasks.