## 3 Experiment and Result  
All the variables in this study are shown in Table 1. In the numerical simulation, the diffraction order's intensity of a single point located 50 cm from the hologram plane was calculated, as shown in Figure 3. \begin{table}
\begin{tabular}{c c c} \hline \hline \multicolumn{2}{c}{**SLM(LC-2012)**} & \multicolumn{2}{c}{**Light Source**} \\ \hline Resolution & \(1024\times 768\) & Wavelength & 532 nm \\ \hline Pixel pitch & \(36\) μm & Mode & TEM00 \\ \hline Fill factor & \(58\%\) & **Point Cloud Model** \\ \hline Type & Transmissive & \#Points & 66 \\ \hline \multicolumn{2}{c}{Distance} & \(50\)–\(50.1\) cm \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Experimental conditions. Figure 3: Numerical simulation of a single-point hologram with (**a**) conventional periodic pixels and (**b**) fully non-periodic pixels. Figure 2: Basic schematics of (**a**) conventional periodic pixels and (**b**) the proposed non-periodic pinhole array filtering process. Figure 3a shows the conventional periodic pixels, for which the \(C\) value equals 0 and where the first-order intensity is 0.77, whereas Figure 3b shows fully non-periodic pixels, for which the \(C\) value equals 1 and the first-order intensity is around 0.11. If the \(C\) value exceeds 1.0, the first-order relative intensity converges to 0, as shown in Table 2. However, such a condition is practically impossible, as the non-periodic pinhole array filter is attached within the pixel area, as shown in Figure 2. Hence, here, we only consider \(C\) values ranging from 0 to 1. DC noise typically stems from a black matrix (i.e., dead space). Unfortunately, the fill factor of the best Liquid crystal on silicon SLM is not 100% but 90%. Hence, an additional bulky optical system is inevitable. However, the proposed method reorganizes the pixels and the black matrix into a non-periodic structure simultaneously. Therefore, the DC noise also decreases identically to how the high-order noise does in this case. This is one of the reasons why the proposed idea has potential. In order to verify the feasibility of the proposed method practically, a ring point cloud model consisting of 66 points was reconstructed with an equivalent method via a single-point simulation. The inner ring and outer rings were positioned at 50 and 51 cm from the hologram plane, respectively. The observation was then made at the outer ring position. As a result, the high-order images of the non-periodic pixels vanished, as shown in Figure 4.  
In this paper, an LCG (linear congruential generator), commonly used as the random number function in C++, MATLAB, and Python, was used to produce the random numbers. However, unfortunately, the results of the LCG exhibited periodicity and tended to be biased to one side [8]. Therefore, it cannot be said that the results of this study are optimal. If there is a more exquisite \begin{table}
\begin{tabular}{c c c} \hline \hline \(C\)**Value** & \(\pm\)**2 nd** & \(\pm\)**1 st** \\ \hline
0.0 & 0.62 & 0.77 \\
0.2 & 0.46 & 0.56 \\
0.4 & 0.066 & 0.31 \\
0.6 & 0.015 & 0.22 \\
0.8 & 0.047 & 0.13 \\
1.0 & 0.018 & 0.11 \\
1.2 & 0.008 & 0.05 \\
1.4 & 0.008 & 0.02 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: High order’s relative intensity according to the \(C\) value. Figure 4: Numerical simulation of a point cloud hologram with (**a**) conventional periodic pixels and (**b**) fully non-periodic pixels. random number generator, the quality of the proposed idea will be improved. In addition, when the reconstructed hologram approaches the hologram plane, the background noise increases slightly. Usually, the reconstructed hologram is duplicated by high-order diffraction due to the periodicity of the pixels. By contrast, the proposed hologram is calculated based on non-periodic pixels; hence, it has no high-order diffraction and no duplicated holograms, but the hologram data are regarded as noise in the high-order diffraction region.