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arxiv: math-ph/0407027 · v4 · submitted 2004-07-14 · 🧮 math-ph · math.MP

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

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keywords one-dimensionalradontransformgoniometryinversiontextureapplicationcompare
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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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