# Characterization of Prints Based on Microscale Image Analysis of Dot Patterns
## 3 Measurement, Modelling and Analysis at the Microscale of Printed Dots
### Separation of ink Colors (Step 1)
In our experiments, we only deal with CMY images, and not CMYK images. Figure 5: (**a**) Typical halftoning scheme for yellow (0\({}^{\circ}\)), cyan (15\({}^{\circ}\)), black (45\({}^{\circ}\)) and magenta (75\({}^{\circ}\)) (credit [1]). (**b**) Example of rosette pattern that may occur with another color halftoning scheme (with CMYK at 0\({}^{\circ}\) and a shift of few \(\upmu\)m along the X and Y axis). \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**N\({}^{\circ}\)**} & \multirow{2}{*}{**Reprint Image Features**} & **Nb of Dots** & \% of Dots & **Avg \(\pm\) Std** & **Avg \(\pm\) Std** & **Avg \(\pm\) Std** & **Avg \(\pm\) Std** & **Avg \(\pm\) Std** & **Avg \(\pm\) Std** \\  & **Detected** & **\(\in\) ID/ID2/ID3** & **Perimeter** & **Area** & **Circularity** & **Orientation** & **Dots** \\ \hline \hline \multirow{2}{*}{**7**} & \multirow{2}{*}{**7**} & \multirow{2}{*}{**272**} & \multirow{2}{*}{71\%} & \multirow{2}{*}{56.06 \(\pm\) 10.04} & \multirow{2}{*}{173.68 \(\pm\) 42.53} & \multirow{2}{*}{0.84 \(\pm\) 0.39} & \multirow{2}{*}{28.11\({}^{\circ}\)\(\pm\) 71.06\({}^{\circ}\)} & \multirow{2}{*}{83\%} \\  & & & & & & & \\ \hline \hline \multirow{2}{*}{**8**} & \multirow{2}{*}{**8**} & \multirow{2}{*}{**278**} & \multirow{2}{*}{76\%} & \multirow{2}{*}{55.20 \(\pm\) 9.35} & \multirow{2}{*}{161.01\(\pm\) 36.29} & \multirow{2}{*}{0.82 \(\pm\) 0.37} & \multirow{2}{*}{35.49\({}^{\circ}\)\(\pm\) 61.78} & \multirow{2}{*}{82\%} \\  & & & & & & & \\ \hline \hline \multirow{2}{*}{**9**} & \multirow{2}{*}{**9**} & \multirow{2}{*}{**287**} & \multirow{2}{*}{66\%} & \multirow{2}{*}{49.84 \(\pm\) 10.79} & \multirow{2}{*}{137.19 \(\pm\) 37.66} & \multirow{2}{*}{0.84 \(\pm\) 0.42} & \multirow{2}{*}{31.87 \(\pm\) 63.0\({}^{\circ}\)} & \multirow{2}{*}{72\%} \\  & & & & & & & \\ \hline \hline \multirow{2}{*}{**10**} & \multirow{2}{*}{**258**} & \multirow{2}{*}{32\%} & \multirow{2}{*}{63.95 \(\pm\) 7.68} & \multirow{2}{*}{199.48 \(\pm\) 33.24} & \multirow{2}{*}{0.79 \(\pm\) 0.31} & \multirow{2}{*}{10.75 \(\pm\) 75.43\({}^{\circ}\)} & \multirow{2}{*}{75\%} \\  & & & & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 1: _Cont._ \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{**N\({}^{0}\)**} & \multirow{2}{*}{**Reprint Image Features**} & **Nb of Dots** & **\% of Dots** & **Avg \(\pm\) Std** & **Avg \(\pm\) Std** & **Avg \(\pm\) Std** & **Avg \(\pm\) Std** & **Avg \(\pm\) Std** & **Avg \(\pm\) Std** \\  & **Detected** & (ED1/ID2/ID3) & **Perimeter** & **Area** & **Circularity** & **Orientation** & **Orientation** & **Orientation** & **Orientation** \\ \hline \hline \multirow{2}{*}{14} & \multirow{2}{*}{246} & 40\% & \multirow{2}{*}{63.80 \(\pm\) 9.81} & \multirow{2}{*}{203.20 \(\pm\) 38.51} & \multirow{2}{*}{0.80 \(\pm\) 0.31} & \multirow{2}{*}{5.44\(\pm\) 13.390\({}^{\circ}\)} & 21\% \\  & & & (3\% \(\in\) ID) & & & & & (25 \% \(\in\) ID) \\ \hline \multirow{2}{*}{15} & \multirow{2}{*}{250} & \multirow{2}{*}{250} & 4\% & \multirow{2}{*}{66.79 \(\pm\) 67.14} & \multirow{2}{*}{483.47 \(\pm\) 205.37} & \multirow{2}{*}{0.92 \(\pm\) 0.53} & \multirow{2}{*}{3.63\(\pm\) 19.22\({}^{\circ}\)} & 31\% \\  & & & (28\% \(\in\) ID) & & & & (17\% have a circular shape) \\  & & & & & & & (53 \% \(\in\) ID) \\ \hline \multirow{2}{*}{16} & \multirow{2}{*}{250} & \multirow{2}{*}{250} & 8\% & \multirow{2}{*}{87.84 \(\pm\) 65.70} & \multirow{2}{*}{464.39 \(\pm\) 232.34} & \multirow{2}{*}{0.93 \(\pm\) 0.56} & \multirow{2}{*}{4.23\(\pm\) 21.22\({}^{\circ}\)} & 28\% \\  & & & & & & & (15\% have a circular shape) \\  & & & & & & & (47 \% \(\in\) ID) \\ \hline \hline \end{tabular}
\end{table} 
Table 2: _Cont._