Table 2.

Comparative analysis of applying averaging processing to the synthetic static target displacements using a stationary camera (mm).

Actual Static Target Displacements in X, Y and Z Directions			Static Target Displacement Measurements in X, Y and Z Directions
			With Averaging Processing			Without Averaging Processing
X	Y	Z	X	Y	Z	X	Y	Z
0.000	0.000	0.000	0.008	−0.029	0.304	0.006	−0.043	0.555
1.588	0.000	0.000	1.719	−0.043	−0.729	1.727	−0.039	−0.797
3.175	0.000	0.000	3.491	−0.131	0.273	3.480	−0.111	−0.138
6.350	0.000	0.000	6.831	−0.133	−0.672	6.829	−0.034	−2.090
12.700	0.000	0.000	13.066	−0.296	0.140	13.075	−0.266	−0.595
25.400	0.000	0.000	26.063	−0.575	1.266	26.061	−0.541	0.740
50.800	0.000	0.000	51.224	−1.039	3.476	51.175	−1.029	3.432
RMSE of X Direction Static Target Measurements:			0.397 (${\overline{\epsilon }}_x$)	0.468 (${\overline{\epsilon }}_y$)	1.457 (${\overline{\epsilon }}_z$)	0.389 (${\overline{\epsilon }}_x$)	0.453 (${\overline{\epsilon }}_y$)	1.604 (${\overline{\epsilon }}_z$)
X	Y	Z	X	Y	Z	X	Y	Z
0.000	0.000	0.000	0.023	0.008	0.295	−0.015	−0.024	0.037
0.000	1.588	0.000	−0.242	1.573	−1.624	−0.220	1.606	−1.430
0.000	3.175	0.000	−0.377	3.281	−2.711	−0.431	3.285	−3.116
0.000	6.350	0.000	−0.142	6.294	−2.115	−0.125	6.287	−2.143
0.000	12.700	0.000	−0.097	12.676	−0.625	−0.276	12.653	−1.973
0.000	25.400	0.000	−0.154	25.527	−1.376	−0.215	25.514	−1.712
0.000	50.800	0.000	−0.246	50.861	−3.533	−0.250	50.871	−3.133
RMSE of Y Direction Static Target Measurements:			0.212 (${\overline{\epsilon }}_x$)	0.071 (${\overline{\epsilon }}_y$)	2.046 (${\overline{\epsilon }}_z$)	0.249 (${\overline{\epsilon }}_x$)	0.073 (${\overline{\epsilon }}_y$)	2.171 (${\overline{\epsilon }}_z$)
X	Y	Z	X	Y	Z	X	Y	Z
0.000	0.000	0.000	0.014	0.039	−0.039	−0.022	0.014	−0.633
0.000	0.000	1.588	−0.030	0.182	1.914	−0.038	0.233	2.606
0.000	0.000	3.175	−0.032	0.194	4.196	−0.050	0.157	3.585
0.000	0.000	6.350	−0.082	0.250	6.144	−0.096	0.217	5.758
0.000	0.000	12.700	−0.104	0.537	13.669	−0.101	0.479	12.856
0.000	0.000	25.400	−0.091	1.012	26.749	−0.105	0.941	25.587
0.000	0.000	50.800	−0.178	1.933	51.845	−0.149	1.935	51.647
RMSE of Z Direction Static Target Measurements:			0.092 (${\overline{\epsilon }}_x$)	0.861 (${\overline{\epsilon }}_y$)	0.849 (${\overline{\epsilon }}_z$)	0.090 (${\overline{\epsilon }}_x$)	0.844 (${\overline{\epsilon }}_y$)	0.625 (${\overline{\epsilon }}_z$)

The negative values represent that the target displacement measurements are as the opposite directions as the actual target displacements.