A one-dimensional Radon transform on SO(3) and its application to   texture goniometry
  We consider a one-dimensional Radon transform on the group SO(3) which is motivated by texture goniometry. In particular we will derive several inversion formulae and compare them with the inversion of the one-dimensional spherical Radon transform on the three dimensional unit sphere for even functions. 
Swanhild Bernstein, Helmut Schaeben