%0 Journal Article
%T Numerical implementation of geodesic X-ray transforms and their inversion
%A Fran£żois Monard
%J Mathematics
%D 2013
%I arXiv
%X We present a numerical implementation of the geodesic ray transform and its inversion over functions and solenoidal vector fields on two-dimensional Riemannian manifolds. For each problem, inversion formulas previously derived in \cite{Pestov2004,Krishnan2010} are implemented in the case of simple and some non-simple metrics. These numerical tools are also used to better understand and gain intuition about non-simple manifolds, for which injectivity and stability of the corresponding integral geometric problems are still under active study.
%U http://arxiv.org/abs/1309.6042v2