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

Preprint

15 February 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math-ph/0407027

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
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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