PDF-to-ODF inversion by approximation with spherical radial basis functions

R. Hielscher; S. Bernstein; H. Schaeben; K. G. Van Den Boogaart; J. Beckmann; J. Prestin

doi:10.4028/www.scientific.net/MSF.495-497.313

PDF-to-ODF inversion by approximation with spherical radial basis functions

R. Hielscher^*, S. Bernstein, H. Schaeben, K. G. Van Den Boogaart, J. Beckmann, J. Prestin

^*Corresponding author for this work

Institute of Mathematics

Abstract

The radial basis function method is applied to reconstruct the orientation density function and the pole density function from any arbitrary set of X-ray intensities. The mathematical foundations are given as well as numerical results.

Original language	English
Title of host publication	Materials Science Forum
Publication date	2005
DOIs	https://doi.org/10.4028/www.scientific.net/MSF.495-497.313
Publication status	Published - 2005

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title = "PDF-to-ODF inversion by approximation with spherical radial basis functions",

abstract = "The radial basis function method is applied to reconstruct the orientation density function and the pole density function from any arbitrary set of X-ray intensities. The mathematical foundations are given as well as numerical results.",

author = "R. Hielscher and S. Bernstein and H. Schaeben and \{Van Den Boogaart\}, \{K. G.\} and J. Beckmann and J. Prestin",

year = "2005",

doi = "10.4028/www.scientific.net/MSF.495-497.313",

language = "English",

booktitle = "Materials Science Forum",

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T1 - PDF-to-ODF inversion by approximation with spherical radial basis functions

AU - Hielscher, R.

AU - Bernstein, S.

AU - Schaeben, H.

AU - Van Den Boogaart, K. G.

AU - Beckmann, J.

AU - Prestin, J.

PY - 2005

Y1 - 2005

N2 - The radial basis function method is applied to reconstruct the orientation density function and the pole density function from any arbitrary set of X-ray intensities. The mathematical foundations are given as well as numerical results.

AB - The radial basis function method is applied to reconstruct the orientation density function and the pole density function from any arbitrary set of X-ray intensities. The mathematical foundations are given as well as numerical results.

U2 - 10.4028/www.scientific.net/MSF.495-497.313

DO - 10.4028/www.scientific.net/MSF.495-497.313

M3 - Conference contribution

BT - Materials Science Forum

ER -

PDF-to-ODF inversion by approximation with spherical radial basis functions

Abstract

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