A Positivity Method for the Determination of Complete Orientation Distribution Functions
Author(s) -
Michael Dahms,
H. J. Bunge
Publication year - 1988
Publication title -
texture stress and microstructure
Language(s) - English
Resource type - Journals
eISSN - 1687-5400
pISSN - 1687-5397
DOI - 10.1155/tsm.10.21
Subject(s) - orientation (vector space) , distribution (mathematics) , mathematics , mathematical analysis , geometry
A refinement of the zero-range method, a procedure to calculate the odd order coefficients in the series expansion method of texture analysis, is presented. The only assumption in this procedure is the positivity condition. In this respect, it is comparable to the quadratic method. Contrary to this method, however, the even order coefficients are not changed. No zero range in the pole figures and no shape of the existing texture is to be assumed.
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