Properties of Projection Lines in the Space of the Orientation Distribution Function | Zendy

Adam Morawiec | Zendy; J. Pośpiech | Zendy

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Properties of Projection Lines in the Space of the Orientation Distribution Function

Author(s) -

Adam Morawiec,

J. Pośpiech

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.10.243

Subject(s) - projection (relational algebra) , orientation (vector space) , simple (philosophy) , geometry , distribution (mathematics) , space (punctuation) , symmetry (geometry) , function (biology) , mathematics , distribution function , mathematical analysis , physics , computer science , algorithm , philosophy , epistemology , evolutionary biology , biology , operating system , quantum mechanics

The relationship between the orientation distribution function (ODF) and the polefigure is based on the geometry of projection lines in the orientation space. The paper presents an analytical description of the projection lines and theirtransformations by symmetry operations. Using simple algebraical rules someproperties of the projection lines as well as some properties of the associatedprojection lines (coupled due to the centrosymmetry of the pole figure) have beenderived.

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