OSA's Digital Library

Applied Optics

Applied 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)

View Full Text Article

Enhanced HTML    Acrobat PDF (535 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

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

Keiji Sasaki, Satoshi Kawata, and Shigeo Minami, "Estimation of component spectral curves from unknown mixture spectra," Appl. Opt. 23, 1955-1959 (1984)

Sort:  Author  |  Year  |  Journal  |  Reset  


  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]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited