Method and device for spectral reconstruction
First Claim
1. A method for spectral reconstruction comprising the steps of:
- (a) obtaining the concentrations of a first component in a series of mixtures of components, the concentrations of the first component constituting a set of reference values;
(b) measuring spectral values for each mixture in the series of mixtures at a series of wavelengths;
(c) cross-correlating, at a first wavelength, the spectral values for each mixture in the series of mixtures with the corresponding reference values for the one component at the first wavelength to obtain the spectral contribution for the one component at the first wavelength;
(d) outputting the spectral contribution for the one component at the first wavelength;
(e) repeating steps c and d at wavelengths other than the first wavelength, until the spectrum of the one component is obtained.
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Abstract
A method is presented for spectral reconstruction which comprises first obtaining component concentrations of a series of mixtures, which component concentrations constitute a set of reference values. The spectral value of each member of that series of mixtures is measured at a first wavelength, which spectral value possesses contribution from individual components in the mixture, whose individual contribution is unknown. The spectral values for the series of mixtures are then mathematically cross-correlated with the component concentrations in said series of mixtures, at the first wavelength, thereby obtaining the spectral contribution for said components at that first wavelength. The spectral value of each member of that series of mixtures is measured at the second wavelength, which spectral values are then cross-correlated with component concentrations in the series of mixtures thereby obtaining the spectral contribution for said components at the second wavelength. This operation is repeated for a series of wavelengths until the spectrum of the desired component in the mixture is reconstructed. Devices are presented which implement the methods for spectral reconstruction of the present invention.
53 Citations
19 Claims
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1. A method for spectral reconstruction comprising the steps of:
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(a) obtaining the concentrations of a first component in a series of mixtures of components, the concentrations of the first component constituting a set of reference values; (b) measuring spectral values for each mixture in the series of mixtures at a series of wavelengths; (c) cross-correlating, at a first wavelength, the spectral values for each mixture in the series of mixtures with the corresponding reference values for the one component at the first wavelength to obtain the spectral contribution for the one component at the first wavelength; (d) outputting the spectral contribution for the one component at the first wavelength; (e) repeating steps c and d at wavelengths other than the first wavelength, until the spectrum of the one component is obtained. - View Dependent Claims (2, 3, 4, 5, 6, 19)
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7. A device for spectral reconstruction:
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(a) means for obtaining the concentrations of a first component in a series of mixtures of components, the concentrations of the first component constituting a set of reference values; (b) spectrometer means for obtaining spectral values for each mixture in the series of mixtures; (c) data storage means for storing the reference values and spectral values; (d) data input means for supplying the reference values and spectral values to the data storage means; (e) spectral reconstructor means for cross-correlating the corresponding reference values and spectral values stored in the data storage means, thereby providing a spectral contribution for the one component; (f) data output means for outputting the spectral contribution for the one component. - View Dependent Claims (8, 9, 10, 11, 12)
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13. A method for reconstructing the spectrum of a specific component from a series of multicomponent mixtures, each mixture capable of exhibiting a composite spectrum, the method comprising:
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(a) obtaining the concentration of the specific component in each mixture in the series; (b) measuring a composite spectral value for each mixture in the series at a plurality of wavelengths; and (c) for each of the plurality of wavelengths, cross-correlating an array comprised of the measured composite spectral value for each mixture in the series of mixtures with a correspondingly ordered array of the concentration of the specific component in each mixture in the series of mixtures to generate a reconstructed spectral value associated with the specific component. - View Dependent Claims (14, 15, 16, 17, 18)
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Specification