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X-Ray spectra background fitting by projection onto convex sets

Brunetti, Antonio and Steger, Tim J. (2000) X-Ray spectra background fitting by projection onto convex sets. Nuclear Instruments and Methods in Physics Research. Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 441 (3), p. 504-509. ISSN 0168-9002. Article.

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DOI: 10.1016/S0168-9002(99)00953-5

Abstract

An X-ray spectrum is constituted by a set of peaks superimposed to a background (continuum). If a quantitative estimate of the peak areas is required, then the background must be separated from the spectrum. Several algorithms have been proposed in the literature. These algorithms will generally work well when the amplitudes of the peaks are much more intense than the background. We propose a novel method, based on projections onto convex sets. The algorithm have been tested over a large set of spectra, real and simulated. Some of the results obtained in these tests are reported here and are compared to a widely used continuum estimation method, i.e. the orthogonal polynomial decomposition.

Item Type:Article
ID Code:5212
Status:Published
Refereed:Yes
Uncontrolled Keywords:Continuum removal, spectroscopy, X-ray filtering
Subjects:Area 02 - Scienze fisiche > FIS/07 Fisica applicata (a beni culturali, ambientali, biologia e medicina)
Divisions:001 Università di Sassari > 03 Istituti > Matematica e fisica
Publisher:North Holland / Elsevier
ISSN:0168-9002
Copyright Holders:© 2000 Elsevier Science
Deposited On:10 Dec 2010 12:26

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