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Abstract
Due to a novel method of pole intensity to orientation density inversion applying radial basis functions and an implementation employing fast Fourier transform algorithms for S^{2} , S^{2}× S^{2}, and SO(3) it is now possible to process intensity data arbitrarily scattered on the pole sphere and successively compute numerical approximations of an ODF explaining the data while they are being measured. Therefore we suggest an adaptive successive refinement of an initial coarse uniform grid to a locally refined grid where the progressive refinement corresponds to the pattern of preferred crystallographic orientation. At each level of refinement an ODF is computed, and the refinement is terminated if some stopping rule is accomplished.
Original language  English 

Pages  4850 
Number of pages  3 
Publication status  Published  01.01.2007 
Event  Annual Conference of the International Association for Mathematical Geology: Geomathematics and GIS Analysis of Resources, Environment and Hazards 2007  Beijing, China Duration: 26.08.2007 → 31.08.2007 Conference number: 105720 
Conference
Conference  Annual Conference of the International Association for Mathematical Geology: Geomathematics and GIS Analysis of Resources, Environment and Hazards 2007 

Abbreviated title  IAMG 2007 
Country/Territory  China 
City  Beijing 
Period  26.08.07 → 31.08.07 
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Dive into the research topics of 'Successive computations of an ODF while measuring its corresponding PDFs with respect to progressively locally refined spherical grids'. 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