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

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

2004-07-14

arxiv.org/abs/math-ph/0407027v4

Physics

Mathematical Physics

20 pages

Scientific paper

10.1002/mma.612

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.

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