Texture, Stress, and Microstructure

Texture, Stress, and Microstructure / 1999 / Article
Special Issue

Proceedings of the International Conference: Neutron Texture and Stress Analysis

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Volume 33 |Article ID 858250 | https://doi.org/10.1155/TSM.33.357

V. Luzin, "Optimization of Texture Measurements—Part II: Further Applications: Optimal Smoothing", Texture, Stress, and Microstructure, vol. 33, Article ID 858250, 7 pages, 1999. https://doi.org/10.1155/TSM.33.357

Optimization of Texture Measurements—Part II: Further Applications: Optimal Smoothing

Received01 Oct 1997

Abstract

In our previous paper (Luzin, 1997. Proc. of Workshop “Neutron Textures and Stress Analysis”) the basic principles of the quantitative approach to optimize the texture measurements were outlined. This paper is the report of advances in this direction.The quantitative approach is used to solve the smoothing problem. Smoothing by singular integrals with an integral kernel used by Nikolayev and Ullemeyer (1996). Proc. of Workshop “Math. Methods of Texture Analysis”, Textures and Microstructures25, 149– 158 is used in this paper. It is shown how the optimal smoothing parameter depends on the grain statistics, i.e. the number of grains in the sample. The algorithm for optimal smoothing of real pole density data (pole figures) is proposed.Also, the application of optimal smoothing for solving the central problem of quantitative texture analysis (QTA), i.e. orientation distribution function (ODF) reproduction, is discussed.

Copyright © 1999 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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