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The de la Vallée Poussin Standard Orientation Density Function
Author(s) -
Helmut Schaeben
Publication year - 1999
Publication title -
texture stress and microstructure
Language(s) - English
Resource type - Journals
eISSN - 1687-5400
pISSN - 1687-5397
DOI - 10.1155/tsm.33.365
Subject(s) - orientation (vector space) , physics , mathematics , geometry
The de la Vallée Poussin standard orientation density functionν κ ( ω ) = C ( κ )cos ⁡ 2 κ( ω / 2 )is discussed with emphasis on the finiteness of its harmonic series expansion which, advantageouslydistinguishes it from other known standard functions. Given its halfwidth, the de la Vallée Poussin standard orientation density function allows, for example, to tabulate the degree of series expansion into harmonics required for its exact representation.

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