Discrete template to quantify goodness of fit between pole figures

Received: 25 March 2023; Revised: 25 April 2023; Accepted: 27 April 2023
Citation: A.A. Zisman. Discrete template to quantify goodness of fit between pole figures. Lett. Mater., 2023, 13(3) 214-218
BibTex   https://doi.org/10.22226/2410-3535-2023-3-214-218

Abstract

Trial points uniformly distributed over the upper hemisphere are stereographically projected on the plane of pole figures.To compare material textures, a discrete template of arranged trial points has been generated. It enables one-dimensional parameterization of respective pole figures and, therefore, use of the Kolmogorov-Smirnov criterion to assess their goodness of fit. The template is computationally simple and relevant to spherical symmetry of random orientation distribution that is a natural reference sample in the texture analysis. For a case study, virtual axial textures are compared with allowance for anticipated measurement errors. Based on the obtained results, ability of EBSD technique to determine representative textures is discussed.

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Funding

1. Russian Science Foundation - project No 22-19-00627