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Abstract
The inversion of the onedimensional Radon transform on the rotation group SO(3) is an illposed inverse problem which applies to xray tomography with polycrystalline materials. This paper presents a novel approach to the numerical inversion of the onedimensional Radon transform on SO(3). Based on a Fourier slice theorem the discrete inverse Radon transform of a function sampled on the product space of two twodimensional spheres is determined as the solution of a minimization problem, which is iteratively solved using fast Fourier techniques for and SO(3). The favorable complexity and stability of the algorithm based on these techniques has been confirmed with numerical tests.
Original language  English 

Article number  025011 
Journal  Inverse Problems 
Volume  24 
Issue number  2 
ISSN  02665611 
DOIs  
Publication status  Published  01.04.2008 
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Dive into the research topics of 'The Radon transform on SO(3): A Fourier slice theorem and numerical inversion'. Together they form a unique fingerprint.Projects
 1 Finished

High resolution texture analysis
Prestin, J. & Schaeben, H.
01.01.03 → 31.12.08
Project: DFG Projects › DFG Individual Projects