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A generalized library program for texture calculations with even and odd coefficients
Author(s) -
Wagner F.,
BechlerFerry E.,
Esling C.,
Baro R.
Publication year - 1982
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889882011558
Subject(s) - texture (cosmology) , rank (graph theory) , extension (predicate logic) , set (abstract data type) , spherical harmonics , computer science , mathematics , mathematical analysis , combinatorics , image (mathematics) , programming language , artificial intelligence
A previously published library program [Wagner, Esling & Baro (1977). Texture Cryst. Solids , 2 , 225–241] allowed the creation and storage of the set of numerical values necessary for three‐dimensional texture analysis, with the even ranks in the spherical harmonics expansion. To take into account the recent developments in texture analysis, a more general version of this program is proposed, including, besides the calculation for even ranks, its extension to the odd ones. In addition, the formulae and the general analytical expressions, valid whatever the rank l , are given for the set of the calculated constants and functions.