A one-dimensional Radon transform on SO(3) and its application to texture goniometry
arXiv:math-ph/0407027 · doi:10.1002/mma.612
Abstract
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.
20 pages