Parameter and index name

Polynomial equation

Lightness, L,

$\begin{array}{c}L=53.83+1.66\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}-1.46\ast C_{\text{PH}}-1.05\ast C_{\text{M}}+0.04\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{PH}}-0.31\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{M}}\\ +0.004C_{\text{PH}}\ast C_{\text{M}}+0.002\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{M}}\ast C_{\text{PH}}+0.14\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}^2+0.131\ast C_{\text{PH}}^2+0.07*C_{\text{M}}^2\end{array}$

a value

$\begin{array}{c}a=15.85-0.39\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}-0.29\ast C_{\text{PH}}-2.3\ast C_{\text{M}}+0.08\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{PH}}+0.14\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{M}}\\ +0.1C_{\text{PH}}\ast C_{\text{M}}-0.01\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{M}}\ast C_{\text{PH}}-0.1\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}^2-0.01\ast C_{\text{PH}}^2+0.1\ast C_{\text{M}}^2\end{array}$

b value

$\begin{array}{c}b=45.05-2.5\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}-0.4\ast C_{\text{PH}}-2.67\ast C_{\text{M}}-0.001\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{PH}}+0.22\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{M}}\\ +0.04C_{\text{PH}}\ast C_{\text{M}}-0.001\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{M}}\ast C_{\text{PH}}+0.03\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}^2+0.03\ast C_{\text{PH}}^2+0.06\ast C_{\text{M}}^2\end{array}$

Whitening index, WI

$\begin{array}{c}WI=39.52-2.07\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}-1.29\ast C_{\text{PH}}+0.44\ast C_{\text{M}}+0.05\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{PH}}-0.35\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{M}}\\ -0.01C_{\text{PH}}\ast C_{\text{M}}+0.0007*C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{M}}\ast C_{\text{PH}}+0.14\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}^2+0.09\ast C_{\text{PH}}^2+0.006\ast C_{\text{M}}^2\end{array}$

Saturation index, SI

$\begin{array}{c}SI=47.39-2.6\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}-0.64\ast C_{\text{PH}}-2.87\ast C_{\text{M}}+0.007\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{PH}}+0.24\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{M}}\\ +0.07C_{\text{PH}}\ast C_{\text{M}}-0.003\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{M}}\ast C_{\text{PH}}+0.022\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}^2+0.04\ast C_{\text{PH}}^2+0.06\ast C_{\text{M}}^2\end{array}$

Total color difference, ∆E

$\begin{array}{c}\Delta E=-9.84+4.97\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}+2.7\ast C_{\text{PH}}-0.54\ast C_{\text{M}}-0.32\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{PH}}-0.13\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{M}}\\ -0.25C_{\text{PH}}\ast C_{\text{M}}+0.02\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{M}}\ast C_{\text{PH}}-0.23\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}^2+0.03\ast C_{\text{PH}}^2+0.08*C_{\text{M}}^2\end{array}$

Browning index, BI

$\begin{array}{c}BI=163.07-16.57\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}-0.63\ast C_{\text{PH}}-9.94\ast C_{\text{M}}+0.26\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{PH}}+1.16\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{M}}\\ +0.4C_{\text{PH}}\ast C_{\text{M}}-0.04\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}\ast C_{\text{M}}\ast C_{\text{PH}}+0.25\ast C_{{\text{H}}_{\text{2}}{\text{O}}_{\text{2}}}^2-0.12\ast C_{\text{PH}}^2+0.3\ast C_{\text{M}}^2\end{array}$