The X-ray transform and its application in crystallography

In this article, a review on definition of the X- ray transform is presented. We shall show that the X-ray transform is a special case of the Radon transform on homogeneous spaces when the topological group E(n) -the Euclidean group- acts on R2 transitively. Then its application in crystallography is briefly studied.

Keywords:

crystallography , homogeneous spaces , topological group , X-ray transform..