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Estimation of component spectra by the principal components method

✍ Scribed by Armin Meister

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
865 KB
Volume
161
Category
Article
ISSN
0003-2670

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✦ Synopsis

The principal components method enables component spectra from pigment mixtures to be estimated by evaluating the eigenvectors of the second moment matrix. The components are linear combinations of these eigenvectors, but cannot be identified unambiguously With the conditions of non-negativity of spectral values and of concentrations, thus ambiguity can be limited; component spectra for 2 and 3 components were calculated earlier In the present work, maximal dissimilarity of component spectra is assumed as a further condition. An algorithm based on linear programming is described; it enables any number of components to be estimated from eigenvectors of the second moment matrix with better reliabihty than previously.

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