Basis Functions of the Total Radiance Factor of Fluorescent Whitening Agents

Abstract

This paper describes the representation of the total radiance factor of fluorescent whitening agents by up to three basis components. Applying the dimensionality reduction technique to the total radiance factor of 84 cotton samples treated with different fluorescent whitening agents, it was possible to reconstruct the spectral behavior of specimens by using a very small number of basis functions, accurately. In order to study the properties of the basis function, a three-dimensional Euclidean spectral space was implemented to represent the samples. The orientation of the samples that confirmed the whiteness index limitations of CIE1982 were along a line in this space, as expected from a set of white specimens. The perfect correlation was also found between the CIE1982 whiteness index, W, and the first derived principal component coordinates of the samples.