Inversion formulas for the broken-ray Radon transform
Mathematical Physics
2011-01-07 v1 math.MP
Medical Physics
Abstract
We consider the inverse problem of the broken ray transform (sometimes also referred to as the V-line transform). Explicit image reconstruction formulas are derived and tested numerically. The obtained formulas are generalizations of the filtered backprojection formula of the conventional Radon transform. The advantages of the broken ray transform include the possibility to reconstruct the absorption and the scattering coefficients of the medium simultaneously and the possibility to utilize scattered radiation which, in the case of the conventional X-ray tomography, is typically discarded.
Cite
@article{arxiv.1007.4183,
title = {Inversion formulas for the broken-ray Radon transform},
author = {Lucia Florescu and Vadim A. Markel and John C. Schotland},
journal= {arXiv preprint arXiv:1007.4183},
year = {2011}
}
Comments
To be submitted to Inverse Problems