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The Number of Linearly Independent Vectors in Spectral Databases

  • Carlos Sáenz
  • Begoña Hernández
  • Coro Alberdi
  • Santiago Alfonso
  • José Manuel Diñeiro
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5575)

Abstract

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.

Keywords

Spectral databases effective dependence linear correlation collinearity 

References

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Carlos Sáenz
    • 1
  • Begoña Hernández
    • 1
  • Coro Alberdi
    • 1
  • Santiago Alfonso
    • 1
  • José Manuel Diñeiro
    • 1
  1. 1.Departamento de FísicaUniversidad Pública de NavarraPamplonaSpain

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