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

Preprint

20 July 2004

preprint
Published by arXiv in arXiv

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.

Keywords

DIMENSIONAL RADON TRANSFORM
TEXTURE GONIOMETRY
RADON TRANSFORM
SPHERICAL RADON
MOTIVATED
FORMULAE

All Related Versions

Version 1, 2004-07-14, ArXiv
Version 2, 2004-07-20, ArXiv
Version 3, 2004-08-02, ArXiv
Version 4, 2005-02-15, ArXiv
Published version: Mathematical Methods in the Applied Sciences, 28 (11), 1269.

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