## 3 Results
### CS Estimation for Artificial Light Sources
\begin{table}
\begin{tabular}{l l l l l l l l l l} \hline \hline
**Name/Par.** & **Halogen** & \(\mathbf{Xenon_{2}}\) & \(\mathbf{CFL_{930}}\) & \(\mathbf{CFL_{5K}}\) & \(\mathbf{FL_{627}}\) & \(\mathbf{FL_{645}}\) & \(\mathbf{LED_{\text{C3L}}}\) & \(\mathbf{LED_{\text{C3N}}}\) & \(\mathbf{RGBW_{4K5}}\) \\ \hline \(\Delta u^{\prime}v^{\prime}(3\times 3)\cdot 10^{3}\) & 3.2 & 7.4 & 7.7 & 1.5 & 4.5 & 1.5 & 4.2 & 2.7 & 8.3 \\ \(\Delta u^{\prime}v^{\prime}(3\times 5)\cdot 10^{3}\) & 43 & 4.8 & 48 & 12 & 41 & 12 & 51 & 16 & 16 \\ \(\Delta u^{\prime}v^{\prime}(3\times 7)\cdot 10^{3}\) & 0.00 & 8.5 & 5.3 & 0.00 & 1.6 & 0.00 & 7.0 & 20 & 6.4 \\ \(\Delta u^{\prime}v^{\prime}(3\times 8)\cdot 10^{3}\) & 4.3 & 6.9 & 32 & 11 & 40 & 11 & 48 & 7 & 16 \\ \(\Delta u^{\prime}v^{\prime}(3\times 10)\cdot 10^{3}\) & 0.66 & 2.9 & 4.5 & 0.0 & 0.92 & 0.0 & 12 & 0.00 & 3.8 \\ \(\Delta u^{\prime}v^{\prime}(3\times 11)\cdot 10^{3}\) & 43 & 7.9 & 0.00 & 2.2 & 37 & 2.2 & 42 & 12 & 8.1 \\ \(\Delta u^{\prime}v^{\prime}(3\times 14)\cdot 10^{3}\) & 7.6 & 7.1 & 10 & 0.00 & 7.8 & 0.0 & 0.0 & 1.7 & 6.7 \\ \(\Delta u^{\prime}v^{\prime}(3\times 16)\cdot 10^{3}\) & 0.77 & 8.4 & 5.7 & 0.00 & 3.3 & 0.00 & 2.5 & 1.9 & 10 \\ \(\Delta u^{\prime}v^{\prime}(3\times 17)\cdot 10^{3}\) & 0.77 & 8.4 & 5.7 & 0.00 & 3.3 & 0.00 & 2.5 & 1.9 & 10 \\ \(\Delta u^{\prime}v^{\prime}(3\times 19)\cdot 10^{3}\) & 5.6 & 7.2 & 9.1 & 0.00 & 4.3 & 0.00 & 0.00 & 5.7 & 7.5 \\ \(\Delta u^{\prime}v^{\prime}(3\times 20)\cdot 10^{3}\) & 5.6 & 7.2 & 9.1 & 0.00 & 4.3 & 0.00 & 0.00 & 5.7 & 7.5 \\ \(\Delta u^{\prime}v^{\prime}(3\times 22)\cdot 10^{3}\) & 5.1 & 6.6 & 8.9 & 0.00 & 2.2 & 0.00 & 0.00 & 3.2 & 7.2 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Remaining color differences after optimization for different sizes of the corresponding transformation matrix applied to the artificial light sources’ training database \begin{table}
\begin{tabular}{l l l l l l l l l l} \hline \hline
**Name/Par.** & **Halogen** & \(\mathbf{Xenon_{2}}\) & \(\mathbf{CFL_{930}}\) & \(\mathbf{CFL_{5K}}\) & \(\mathbf{FL_{627}}\) & \(\mathbf{FL_{645}}\) & \(\mathbf{LED_{\text{C3L}}}\) & \(\mathbf{LED_{\text{C3N}}}\) & \(\mathbf{RGBW_{4K5}}\) \\ \hline \(\text{CS}_{2018}\) and other parameters directly calculated from the measured artificial light spectra & & & & & & & & \\ \hline CCT in K & 2762 & 4100 & 2640 & 4423 & 2785 & 4423 & 2640 & 4580 & 4500 \\ \(E_{\text{v}}\) in lx & 750 & 750 & 750 & 750 & 750 & 750 & 750 & 750 & 750 \\ \(\text{CLA}_{\text{2018,origin}}\) & 676.11 & 471.03 & 640.73 & 574.68 & 529.72 & 574.73 & 397.04 & 430.78 & 710.02 \\ \(\text{CS}_{2018,origin}\) & 0.47 & 0.40 & 0.46 & 0.44 & 0.43 & 0.44 & 0.37 & 0.39 & 0.48 \\ \hline \multicolumn{8}{c}{\(\text{CS}_{2018}\) and other parameters estimated from the color sensor readouts} \\ \hline \(E_{\text{v,processed in lx}}\) & 748 & 794 & 829 & 806 & 806 & 673 & 690 & 669 & 821 \\ \(\text{CS}_{2018,Truong}\) & 0.44 & 0.40 & 0.45 & 0.45 & 0.42 & 0.38 & 0.40 & 0.49 \\ \hline \multicolumn{8}{c}{Compared parameters} \\ \hline \(|\text{ACS}_{2018}|\) & 0.0271 & 0.0072 & 0.0062 & 0.0098 & 0.0234 & 0.0245 & 0.0042 & 0.0105 & 0.0079 \\ \((Meas.-Calc.)\) & & & & & & & & & \\ \hline \multicolumn{8}{c}{Optimized matrix transformation determined from the artificial light sources training database} \\ \hline \(\begin{bmatrix}5.73\cdot 10^{5}\\ 3.64\cdot 10^{5}\\ -6.61\cdot 10^{4}\end{bmatrix}\) & \(2.04\cdot 10^{5}\) & \(1.13\cdot 10^{6}\) & & & & & & \\ \hline \multicolumn{8}{c}{Functional relationship for calculating illuminance from sensor output} \\ \hline \(E_{\text{v,processed}}=683\cdot(1.554\cdot G_{i}+2.0506)\); \(G_{i}\) from Equation (5)  
\end{table} 
Table 3: Color sensor’s CS predictions obtained from applying [PERSON] et al.’s approximation method to the transformed color sensor readouts (\(\text{CS}_{2018,Truong}\)) in comparison to the CS predictions of [PERSON] et al.’s original model (\(\text{CS}_{2018,\text{origin}}\)) for a selection of artificial light sources from the training dataset at an assumed vertical illuminance of 750 lx.