  This paper deals with a method of tomographic reconstruction of radially
symmetric objects from a single radiograph, in order to study the behavior of
shocked material. The usual tomographic reconstruction algorithms such as
generalized inverse or filtered back-projection cannot be applied here because
data are very noisy and the inverse problem associated to single view
tomographic reconstruction is highly unstable. In order to improve the
reconstruction, we propose here to add some a priori assumptions on the looked
after object. One of these assumptions is that the object is binary and
consequently, the object may be described by the curves that separate the two
materials. We present a model that lives in BV space and leads to a non local
Hamilton-Jacobi equation, via a level set strategy. Numerical experiments are
performed (using level sets methods) on synthetic objects.
