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

Constrained nonlinear method for estimating component spectra from multicomponent mixtures

Keiji Sasaki, Satoshi Kawata, and Shigeo Minami
Appl. Opt. 22(22) 3599-3603 (1983)

Component spectra extraction from terahertz measurements of unknown mixtures

Xian Li, D. B. Hou, P. J. Huang, J. H. Cai, and G. X. Zhang
Appl. Opt. 54(30) 8925-8934 (2015)

Estimation of spectral slit width and blind deconvolution of spectroscopic data by homomorphic filtering

Yasuhiro Senga, Keiichiroh Minami, Satoshi Kawata, and Shigeo Minami
Appl. Opt. 23(10) 1601-1608 (1984)

Component pattern separation of unknown-mixture images by double eigenvector analysis

Keiji Sasaki and Satoshi Kawata
J. Opt. Soc. Am. A 7(3) 513-516 (1990)

Superresolution of Fourier transform spectra by autoregressive model fitting with singular value decomposition

Keiichiroh Minami, Satoshi Kawata, and Shigeo Minami
Appl. Opt. 24(2) 162-167 (1985)