In this work we tread upon the classical
two-dimensional X-ray tomography problem modeled by the
Radon transform. We have focused on the problem of
simultaneously inverting the Radon transform and segmenting
the density distribution into homogeneous regions directly
from the sinogram data i.e. from the attenuation data of
X-rays passing through the body. We have used modified
Mumford-Shah model for piecewise constant densities. The
segmenting curves are described by a suitable level-set
...