## 5 Results of Application of Image Pseudo-Coloring
### Dependence of the Color Palette on the Structure of the Image  
Due to the aforementioned variety of structures of reproduced images, one universal form of the exponential function \(E(x)\) cannot be used to improve their perceptibility. For each image, it is necessary to determine the appropriate parameters \(A,C,F,\) and \(Z\). The initial assessment of the effectiveness of the proposed pseudo-coloring methods was based on visual analysis, which allowed to assess the perceptual abilities of the data contained in the reproduced images. Then, a mathematical analysis of the contrast ratio of the images obtained after applying the pseudo-coloring algorithm was carried out.  
In order to show the need to use pseudo-coloring of the reproduced images in accordance with the adopted methodology for modifying the color palette depending on the properties of the analyzed image, color images (Figure 17) were compared with images obtained for unmodified color palettes (Figures 15 and 16).  
\begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline
**Color Palette** & \(B_{E_{R}}\) & \(B_{E_{G}}\) & \(B_{E_{R}}\) & \(A_{E_{R}}\) & \(A_{E_{G}}\) & \(A_{E_{R}}\) & \(C_{E_{R}}\) & \(C_{E_{R}}\) & \(C_{E_{R}}\) & \(F_{E_{R}}\) & \(F_{E_{R}}\) & \(F_{E_{R}}\) \\ \hline I & 255 & 128 & 0 & 500 & 500 & 500 & 255 & 255 & 255 & 0 & 0 & 0 \\ II & 168 & 84 & 0 & 330 & 330 & 330 & 255 & 255 & 255 & 0 & 0 & 0 \\ III & 84 & 42 & 0 & 166 & 166 & 166 & 255 & 255 & 255 & 0 & 0 & 0 \\ \hline \end{tabular}
\end{table}
Table 1: Parameter values of the exponential function \(E(x)\) for the “Hot” color palette.  
Figure 16: The result of applying the pseudo-coloring algorithm to the images shown in: (**a**) Figure 10a, (**b**) Figure 10b, (**c**) Figure 10c, (**d**) Figure 10d, (**e**) Figure 10e, (**f**) Figure 10f, using the “Radar” color palette with the parameters of the exponential function \(E(x)\) specified in Table 2.  
Figure 17: _Cont._  
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Image**} & \multicolumn{10}{c}{**Parameters of \(E(x)\) Function**} \\ \cline{2-13}  & \(B_{E_{R}}\) & \(B_{E_{C}}\) & \(B_{E_{R}}\) & \(A_{E_{R}}\) & \(A_{E_{G}}\) & \(A_{E_{R}}\) & \(A_{E_{R}}\) & \(C_{E_{R}}\) & \(C_{E_{R}}\) & \(C_{E_{R}}\) & \(F_{E_{R}}\) & \(F_{E_{R}}\) & \(F_{E_{R}}\) \\ \hline Figure 17a & 72 & 70 & 12 & 70 & 80 & 90 & 255 & 255 & 255 & 0 & 0 & 0 \\ \hline Figure 17b & 150 & 26 & 90 & 250 & 14 & 140 & 255 & 255 & 255 & 0 & 0 & 0 \\ \hline Figure 17c & 130 & 120 & 22 & 120 & 146 & 124 & 255 & 255 & 255 & 0 & 0 & 0 \\ \hline Figure 17d & 104 & 96 & 94 & 100 & 110 & 62 & 255 & 255 & 255 & 0 & 0 & 0 \\ \hline Figure 17e & 97 & 30 & 20 & 90 & 46 & 90 & 255 & 255 & 255 & 0 & 0 & 0 \\ \hline Figure 17f & 130 & 120 & 50 & 96 & 130 & 100 & 255 & 255 & 255 & 0 & 0 & 0 \\ \hline \hline \end{tabular}
\end{table}
Table 3: Parameter values of the exponential function \(E(x)\) for the “Own” color palette.  
Figure 17: Images after applying the pseudo-coloring algorithm, color palette, and waveforms of the \(E(x)\) function for each RGB channel corresponding to images in: (**a**) Figure 10a, (**b**) Figure 10b, (**c**) Figure 10c, (**d**) Figure 10d, (**e**) Figure 10e, (**f**) Figure 10f, for the parameters \(A_{E}\), \(B_{E}\)\(C_{E}\) and \(F_{E}\) presented in Table 3.