Open AccessNon‐negative matrix factorization for the near real‐time interpretation of absorption effects in elemental distribution images acquired by X‐ray fluorescence imaging
Author(s) -
Alfeld Matthias,
Wahabzada Mirwaes,
Bauckhage Christian,
Kersting Kristian,
Wellenreuther Gerd,
Barriobero-Vila Pere,
Requena Guillermo,
Boesenberg Ulrike,
Falkenberg Gerald
Publication year - 2016
Publication title -
journal of synchrotron radiation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.172
H-Index - 99
ISSN - 1600-5775
DOI - 10.1107/s1600577515023528
Subject(s) - non negative matrix factorization , superposition principle , factorization , matrix decomposition , interpretation (philosophy) , x ray fluorescence , distribution (mathematics) , elemental analysis , matrix (chemical analysis) , data redundancy , absorption (acoustics) , monte carlo method , fluorescence , materials science , chemistry , optics , physics , computer science , algorithm , mathematics , mathematical analysis , eigenvalues and eigenvectors , statistics , quantum mechanics , organic chemistry , composite material , programming language , operating system
Elemental distribution images acquired by imaging X‐ray fluorescence analysis can contain high degrees of redundancy and weakly discernible correlations. In this article near real‐time non‐negative matrix factorization (NMF) is described for the analysis of a number of data sets acquired from samples of a bi‐modal α+β Ti‐6Al‐6V‐2Sn alloy. NMF was used for the first time to reveal absorption artefacts in the elemental distribution images of the samples, where two phases of the alloy, namely α and β, were in superposition. The findings and interpretation of the NMF results were confirmed by Monte Carlo simulation of the layered alloy system. Furthermore, it is shown how the simultaneous factorization of several stacks of elemental distribution images provides uniform basis vectors and consequently simplifies the interpretation of the representation.