2009 | OriginalPaper | Chapter
The Number of Linearly Independent Vectors in Spectral Databases
Authors : Carlos Sáenz, Begoña Hernández, Coro Alberdi, Santiago Alfonso, José Manuel Diñeiro
Published in: Image Analysis
Publisher: Springer Berlin Heidelberg
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Linear dependence among spectra in spectral databases affects the eigenvectors obtained from principal component analysis. This affects the values of usual spectral and colorimetric metrics. The effective dependence is proposed as a tool to quantify the maximum number of linearly independent vectors in the database. The results of the proposed algorithm do not depend on the selection of the first seed vector and are consistent with the results based on reduction of the bivariate coefficient of determination.