English

A one-dimensional Radon transform on SO(3) and its application to texture goniometry

Mathematical Physics 2009-11-10 v4 math.MP

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.

Cite

@article{arxiv.math-ph/0407027,
  title  = {A one-dimensional Radon transform on SO(3) and its application to texture goniometry},
  author = {Swanhild Bernstein and Helmut Schaeben},
  journal= {arXiv preprint arXiv:math-ph/0407027},
  year   = {2009}
}

Comments

20 pages