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

Research paper by Swanhild Bernstein, Helmut Schaeben

Indexed on: 15 Feb '05Published on: 15 Feb '05Published in: Mathematical Physics



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.