Internal optimization of the texture component approximation method
作者： D Nikolayev , T Lychagina , M Rusetsky , A Ulyanenkov , A Sasaki
DOI: 10.1088/1757-899X/82/1/012007
关键词: Mathematics 、 Trust region 、 Function (mathematics) 、 Mathematical optimization 、 Applied mathematics 、 Orientation (computer vision) 、 Square (algebra) 、 Distribution function 、 Optimization problem 、 Linear combination 、 Position (vector)
摘要: The component approximation method for the reconstruction of orientation distribution function (ODF) is based on assumption that texture could be presented as a weighted linear combination distributions depending parameters, which are related to position bell shaped in space and dispersion. uses minimization procedure obtain values ODF parameters. Traditionally, mean- square deviation measured recalculated pole figures minimized. However, quantitative measure fit RP value differs from mean-square deviation. In present work it suggested minimize We using Trust Region solving non-linear optimization problem. convergences proposed different minimized functional compared. also illustrate usage objective modeling data cubic crystalline symmetry. This study fulfilled new RIGAKU software analysis.
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sci-hub.se 参考文章(7)
Nicholas I. M. Gould, Philippe L. Toint, Andrew R. Conn, Trust Region Methods ,(1987)
Günter Wassermann, Johanna Grewen, Texturen metallischer Werkstoffe Springer-Verlag. ,(1962) , 10.1007/978-3-662-13128-2
Nathan R. Barton, Donald E. Boyce, Paul R. Dawson, Pole Figure Inversion Using Finite Elements Over Rodrigues Space Textures and Microstructures. ,vol. 35, pp. 113- 144 ,(2002) , 10.1080/073033002100000182
T. A. Lychagina, D. I. Nikolayev, Model investigation of the grain number to apply quantitative texture analysis averaging Physica Status Solidi (a). ,vol. 195, pp. 322- 334 ,(2003) , 10.1002/PSSA.200305925
T. I. Bucharova, T. I. Savyolova, Application of Normal Distributions on SO(3) and Sn for Orientation Distribution Function Approximation Textures and Microstructures. ,vol. 21, pp. 161- 176 ,(1993) , 10.1155/TSM.21.161
H. Schaeben, A Simple Standard Orientation Density Function: The Hyperspherical de la Vallée Poussin Kernel Physica Status Solidi B-basic Solid State Physics. ,vol. 200, pp. 367- 376 ,(1997) , 10.1002/1521-3951(199704)200:2<367::AID-PSSB367>3.0.CO;2-I
R. Hielscher, H. Schaeben, A novel pole figure inversion method: specification of the MTEX algorithm Journal of Applied Crystallography. ,vol. 41, pp. 1024- 1037 ,(2008) , 10.1107/S0021889808030112