Successive Computations of an ODF while Measuring its Corresponding PDFs with Respect to Progressively Locally Refined Spherical Grids
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 S2,S2×S2 , 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 die refinement is terminated if some stopping rule is accomplished.
H. Schaeben R. Hielscher J. J. Fundenberger D. Potts J. Prestin
Geoscience Mathematics and Informatics, Freiberg University of Mining and Technology, BvCotta Str. 2 Laboratoire dEtude des Textures at Application aux Materiaux, VMR CNRS 7078, Université de Metz, Fr Mathematics, Chemnitz University of Technology, Germany Mathematics, Lübeck University, Germany
国际会议
The 12th Conference of the International Association for Mathematical Geology(第12届国际数学地质大会)
北京
英文
48-50
2007-08-26（万方平台首次上网日期，不代表论文的发表时间）