Open AccessAccurate method for computing correlated color temperature
Author(s) -
Changjun Li,
Guihua Cui,
Manuel Melgosa,
Xiukai Ruan,
Yaoju Zhang,
Long Ma,
Kaida Xiao,
Ming Ronnier Luo
Publication year - 2016
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.24.014066
Subject(s) - computation , optics , computer science , function (biology) , algorithm , ranging , line (geometry) , nonlinear system , physics , mathematics , telecommunications , geometry , quantum mechanics , evolutionary biology , biology
For the correlated color temperature (CCT) of a light source to be estimated, a nonlinear optimization problem must be solved. In all previous methods available to compute CCT, the objective function has only been approximated, and their predictions have achieved limited accuracy. For example, different unacceptable CCT values have been predicted for light sources located on the same isotemperature line. In this paper, we propose to compute CCT using the Newton method, which requires the first and second derivatives of the objective function. Following the current recommendation by the International Commission on Illumination (CIE) for the computation of tristimulus values (summations at 1 nm steps from 360 nm to 830 nm), the objective function and its first and second derivatives are explicitly given and used in our computations. Comprehensive tests demonstrate that the proposed method, together with an initial estimation of CCT using Robertson's method [J. Opt. Soc. Am. 58, 1528-1535 (1968)], gives highly accurate predictions below 0.0012 K for light sources with CCTs ranging from 500 K to 10 6 K.