Hostname: page-component-7c8c6479df-7qhmt Total loading time: 0 Render date: 2024-03-28T20:47:07.613Z Has data issue: false hasContentIssue false

Quantitation of X-Ray Radiographic Elemental Maps Using Factorial Analysis of Correspondence: Methods and Programs

Published online by Cambridge University Press:  30 July 2003

P. Trebbia
Affiliation:
LASSI, Department of Physics, Université de Reims Champagne Ardenne, B.P. 1039, F51687 Reims cedex 2, France, (e-mail: pierre.trebbia@univ-reims.fr)
G. Ferrar
Affiliation:
Department of Computer Science, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA, (e-mail: ferrar@uiuc.edu)
Get access

Abstract

We examine the problem of building quantitative elemental maps from X-ray absorption images (radiography). As we suggested in a previous publication in Microbeam Analysis, factorial analysis of correspondence is shown to be an optimal method, in the least squares sense, for solving the multilinear equation system given by Beer's law: it relates to an efficient description of the problem in the concentration phase space. We explain how factorial analysis is related to singular value decomposition and we give a complete description of the algorithm. The method can be applied to any multilinear analytical technique as well. Programs are written in C and Mathematica® languages. Academic users may obtain the relevant software (source and code) as freeware directly from the authors.

Type
Research Article
Copyright
1996 Microscopy Society of America

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)