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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 418651, 7 pages
Research Article

Evaluating the Performance of Polynomial Regression Method with Different Parameters during Color Characterization

1School of Printing and Packing, Xi’an University of Technology, Xi’an 710048, China
2School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, China

Received 22 April 2014; Accepted 17 June 2014; Published 3 July 2014

Academic Editor: Yoshinori Hayafuji

Copyright © 2014 Bangyong Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The polynomial regression method is employed to calculate the relationship of device color space and CIE color space for color characterization, and the performance of different expressions with specific parameters is evaluated. Firstly, the polynomial equation for color conversion is established and the computation of polynomial coefficients is analysed. And then different forms of polynomial equations are used to calculate the RGB and CMYK’s CIE color values, while the corresponding color errors are compared. At last, an optimal polynomial expression is obtained by analysing several related parameters during color conversion, including polynomial numbers, the degree of polynomial terms, the selection of CIE visual spaces, and the linearization.