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Abstract
Texture analysis is used here as short term for analysis of crystallographic preferred orientation. Its major mathematical objective is the determination of a reasonable orientation probability density function and corresponding crystallographic axes probability density functions from experimentally accessible diffracted radiation intensity data. Since the spherical axes probability density function is modelled by the onedimensional Radon transform for SO(3), the problem is its numerical inversion. To this end, the Radon transform is characterized as an isometry between appropriate Sobolev spaces. The mathematical foundations as well as first numerical results with zonal basis functions are presented.
Original language  English 

Journal  Journal of Computational and Applied Mathematics 
Volume  199 
Issue number  1 
Pages (fromto)  122140 
Number of pages  19 
ISSN  03770427 
DOIs  
Publication status  Published  01.02.2007 
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Dive into the research topics of 'Kernelbased methods for inversion of the Radon transform on SO(3) and their applications to texture analysis'. 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