Comparison of the Richardson-Lucy method and a classical approach for spectrometer bandpass correction

Bandpass correction in spectrometer measurements using monochromators is often necessary in order to obtain accurate measurement results. The classical approach of spectrometer bandpass correction is based on local polynomial approximations and the use of finite differences. Here we compare this app...

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Bibliographic Details
Published in:Metrologia 2013-04, Vol.50 (2), p.107-118
Main Authors: Eichstädt, S, Schmähling, F, Wübbeler, G, Anhalt, K, Bünger, L, Krüger, U, Elster, C
Format: Article
Language:English
Subjects:
Approximation
Comparative analysis
Measurement
Measuring instruments
Polynomials
Scientific imaging
Simulation
Uncertainty
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Summary:Bandpass correction in spectrometer measurements using monochromators is often necessary in order to obtain accurate measurement results. The classical approach of spectrometer bandpass correction is based on local polynomial approximations and the use of finite differences. Here we compare this approach with an extension of the Richardson-Lucy method, which is well known in image processing, but has not been applied to spectrum bandpass correction yet. Using an extensive simulation study and a practical example, we demonstrate the potential of the Richardson-Lucy method. In contrast to the classical approach, it is robust with respect to wavelength step size and measurement noise. In almost all cases the Richardson-Lucy method turns out to be superior to the classical approach both in terms of spectrum estimate and its associated uncertainties.
ISSN:0026-1394
1681-7575
DOI:10.1088/0026-1394/50/2/107