## 3 Results
### Impact of the Signal-to-Noise Ratio in the Measurements  
As mentioned in Section 2.3, the SNR values of the imaging system directly impact the amount of noise and the accuracy of the simulated quantities. To illustrate the effect of SNR on the measurements, the mean and standard deviation of the quantification errors in \(\Delta C_{HbO_{2}}\), \(\Delta C_{Hb}\) and \(\Delta C_{oxCCO}\) (see Equation (10)) obtained for the optimal spectral configuration of the hyperspectral camera (see Figure 7) and the RGB camera are represented as a function of SNR; see Figures 8 and 9. For each chromophore system, the mean and standard deviation values of the quantification errors are high for low SNR values and decrease with increasing SNR values. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & \multicolumn{3}{c}{**Multiple Deconvolution Systems**} & \multicolumn{3}{c}{**Single Deconvolution Systems**} \\ \hline  & & **Optimal** & **Optimal Reduced** & **Optimal Reduced** & **All Spectral Bands** \\ \hline \multirow{4}{*}{**Spectral correction**} & \(m(E_{\Delta C_{HbO_{2}}})\) & 28.7 & 29.7 & 29.1 & 28.7 \\  & \(\sigma(E_{\Delta C_{HbO_{2}}})\) & 21.4 & 23.1 & 21.9 & 21.4 \\ \cline{2-6}  & \(m(E_{\Delta C_{Hb}})\) & 39 & 39.7 & 39.4 & 39 \\ \cline{2-6}  & \(\sigma(E_{\Delta C_{Hb}})\) & 29.7 & 31.1 & 29.8 & 29.7 \\ \cline{2-6}  & \(m(E_{\Delta C_{oxCCO}})\) & 251.1 & 252.1 & 250.1 & 250.1 \\ \cline{2-6}  & \(\sigma(E_{\Delta C_{oxCCO}})\) & 195.4 & 198.9 & 194 & 195.2 \\ \hline \multirow{4}{*}{**No spectral correction**} & \(m(E_{\Delta C_{Hb}})\) & 38.5 & 38.7 & 40.6 & 40.6 \\  & \(\sigma(E_{\Delta C_{Hb}})\) & 26.9 & 27.8 & 28.1 & 27.3 \\ \cline{2-6}  & \(m(E_{\Delta C_{Hb}})\) & 49.7 & 50.9 & 50.5 & 50.1 \\ \cline{2-6}  & \(\sigma(E_{\Delta C_{Hb}})\) & 36.6 & 37.5 & 36.8 & 36.6 \\ \cline{2-6}  & \(m(E_{\Delta C_{oxCCO}})\) & 237.6 & 244.3 & 239.1 & 237.6 \\ \cline{2-6}  & \(\sigma(E_{\Delta C_{oxCCO}})\) & 183.1 & 186.5 & 183.9 & 183.1 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Quantification performances of the multiple and single deconvolution systems of the hyperspectral camera. When a two-chromophore system is considered with the RGB camera (SNR = 10), the quantification errors in \(\Delta C_{HbO_{2}}\) and \(\Delta C_{Hb}\) are equal to 236% \(\pm\) 187% and 226% \(\pm\) 179%, respectively. When the SNR value is equal to 1000, the quantification errors in \(\Delta C_{HbO_{2}}\) and \(\Delta C_{Hb}\) are equal to 52% \(\pm\) 3% and 6% \(\pm\) 3%, respectively. For high SNR values, it is interesting to note that the  
Figure 8: Mean quantification errors in \(\Delta C_{HbO_{2}}\) (b), \(\Delta C_{Hb}\) (blue curves), and \(\Delta C_{oxCCO}\) (green curves) (see Equation (10)) obtained for the optimal spectral configuration of the hyperspectral camera (see Figure 7) and the RGB camera as a function of SNR. The solid lines were computed using the RGB camera; the curves with circles and with triangles were computed using the hyperspectral camera with and without spectral correction, respectively. Red, green, and blue vertical lines indicate the SNR values of the R, G, and B channels of the RGB camera and black vertical lines the SNR values of the spectral channels of the hyperspectral camera. Figure 9: Standard deviation of the quantification errors in \(\Delta C_{HbO_{2}}\) (red curves), \(\Delta C_{Hb}\) (blue curves), and \(\Delta C_{oxCCO}\) (green curves) (see Equation (10)) obtained for the optimal spectral configuration of the hyperspectral camera (see Figure 7) and the RGB camera as a function of SNR. The solid lines were computed using the RGB camera; the curves with circles and with triangles were computed using the hyperspectral camera with and without spectral correction, respectively. Red, green, and blue vertical lines indicate the SNR values of the R, G, and B channels of the RGB camera and black vertical lines the SNR values of the spectral channels of the hyperspectral camera.