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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 23, Iss. 12 — Jun. 15, 1984
  • pp: 1955–1959

Estimation of component spectral curves from unknown mixture spectra

Keiji Sasaki, Satoshi Kawata, and Shigeo Minami  »View Author Affiliations


Applied Optics, Vol. 23, Issue 12, pp. 1955-1959 (1984)
http://dx.doi.org/10.1364/AO.23.001955


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Abstract

In this paper, we propose a method which uniquely determines a set of single curves, each as an estimate of a component spectrum. No reference spectrum from a library is necessary; the spectrum set of mixtures of unknown components with various concentrations is used for the estimation of component spectral curves. The method is based on entropy minimization. In comparison with an earlier method [ Appl. Opt. 22, 3599 ( 1983)], which gives the bands of the possible component spectra, this method has the advantage of providing a unique estimation of the component spectra, which helps chemists with quantitative analysis and further mathematical processing. Two experimental results demonstrate the effectiveness of the method: for infrared absorption spectra of xylene isomers and visible absorption spectra of dyes.

© 1984 Optical Society of America

History
Original Manuscript: February 2, 1984
Published: June 15, 1984

Citation
Keiji Sasaki, Satoshi Kawata, and Shigeo Minami, "Estimation of component spectral curves from unknown mixture spectra," Appl. Opt. 23, 1955-1959 (1984)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-23-12-1955


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References

  1. E. R. Malinowski, “Determination of the Number of Factors and Experimental Error in a Data Matrix,” Anal. Chem. 49, 612 (1977). [CrossRef]
  2. P. C. Gillette, J. L. Koenig, “Noise Reduction via Factor Analysis in FT-IR Spectra,” Appl. Spectrosc. 36, 535 (1982). [CrossRef]
  3. P. C. Gillette, J. B. Lando, J. L. Koenig, “Computer-Assisted Spectral Identification of Unknown Mixtures,” Appl. Spectrosc. 36, 661 (1982). [CrossRef]
  4. W. H. Lawton, E. A. Sylvestre, “Self-Modeling Curve Resolution,” Technometrics 13, 617 (1971). [CrossRef]
  5. K. Sasaki, S. Kawata, S. Minami, “Constrained Nonlinear Method for Estimating Component Spectra from Multicomponent Mixtures,” Appl. Opt. 22, 3599 (1983). [CrossRef] [PubMed]
  6. J. Kowalik, M. R. Osborne, Methods for Unconstrained Optimization Problems (American Elsevier, New York, 1968).
  7. E. R. Malinowski, “Theory of Error in Factor Analysis,” Anal. Chem. 49, 606 (1977). [CrossRef]
  8. J. A. Blackburn, “Computer Program for Multicomponent Spectrum Analysis Using Least-Squares Method,” Anal. Chem. 37, 1000 (1965). [CrossRef]
  9. A. Savitzky, M. J. E. Golay, “Smoothing and Differentiation of Data by Simplified Least Squares Procedures,” Anal. Chem. 36, 1627 (1964). [CrossRef]

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