Table 9
Results from seeing simulation.
r0 (cm) | CA | No noise | 1% noise | |||||||||
σshift (″) | σerr (″) | σerr / σtilt | Fail (%) | p 1 | σshift (″) | σerr (″) | σerr / σtilt | Fail (%) | p 1 | |||
|
||||||||||||
5 | SDF | 1.11 | 0.054 | 0.049 | 1.67 | 1.011 | 1.13 | 0.158 | 0.144 | 1.22 | 1.011 | |
5 | ADF2 | 1.11 | 0.055 | 0.050 | 1.65 | 1.010 | 1.13 | 0.169 | 0.154 | 1.27 | 1.010 | |
5 | CFI | 1.12 | 0.090 | 0.082 | 1.64 | 1.012 | 1.16 | 0.181 | 0.165 | 3.44 | 1.012 | |
5 | CFF | 0.84 | 0.111 | 0.101 | 10.43 | 0.832 | 0.81 | 0.509 | 0.464 | 2.06 | 0.505 | |
7 | SDF | 0.84 | 0.030 | 0.037 | 0.55 | 1.009 | 0.85 | 0.115 | 0.138 | 0.52 | 1.009 | |
7 | ADF2 | 0.84 | 0.031 | 0.037 | 0.52 | 1.009 | 0.85 | 0.123 | 0.148 | 0.54 | 1.009 | |
7 | CFI | 0.84 | 0.063 | 0.076 | 0.57 | 1.010 | 0.86 | 0.132 | 0.159 | 1.27 | 1.010 | |
7 | CFF | 0.69 | 0.064 | 0.077 | 4.01 | 0.859 | 0.69 | 0.235 | 0.283 | 5.57 | 0.796 | |
10 | SDF | 0.62 | 0.019 | 0.031 | 0.13 | 1.009 | 0.63 | 0.095 | 0.154 | 0.25 | 1.009 | |
10 | ADF2 | 0.62 | 0.020 | 0.032 | 0.12 | 1.009 | 0.63 | 0.102 | 0.166 | 0.28 | 1.009 | |
10 | CFI | 0.62 | 0.051 | 0.083 | 0.23 | 1.009 | 0.64 | 0.110 | 0.178 | 0.54 | 1.009 | |
10 | CFF | 0.53 | 0.042 | 0.069 | 1.46 | 0.871 | 0.55 | 0.179 | 0.291 | 2.51 | 0.840 | |
15 | SDF | 0.44 | 0.014 | 0.031 | 0.16 | 1.008 | 0.45 | 0.085 | 0.194 | 0.31 | 1.008 | |
15 | ADF2 | 0.44 | 0.014 | 0.033 | 0.14 | 1.008 | 0.45 | 0.091 | 0.208 | 0.33 | 1.008 | |
15 | CFI | 0.45 | 0.046 | 0.104 | 0.24 | 1.008 | 0.46 | 0.099 | 0.225 | 0.48 | 1.009 | |
15 | CFF | 0.38 | 0.029 | 0.066 | 1.03 | 0.876 | 0.41 | 0.157 | 0.357 | 1.06 | 0.855 | |
20 | SDF | 0.35 | 0.011 | 0.033 | 0.04 | 1.008 | 0.36 | 0.082 | 0.236 | 0.20 | 1.008 | |
20 | ADF2 | 0.35 | 0.012 | 0.035 | 0.03 | 1.008 | 0.36 | 0.088 | 0.254 | 0.22 | 1.008 | |
20 | CFI | 0.35 | 0.043 | 0.126 | 0.09 | 1.008 | 0.36 | 0.095 | 0.274 | 0.37 | 1.009 | |
20 | CFF | 0.30 | 0.023 | 0.067 | 0.82 | 0.878 | 0.34 | 0.149 | 0.431 | 0.72 | 0.859 | |
|
||||||||||||
5 | SDF | 1.11 | 0.052 | 0.047 | 1.66 | 1.010 | 1.12 | 0.111 | 0.102 | 0.97 | 1.011 | |
5 | ADF2 | 1.11 | 0.052 | 0.048 | 1.64 | 1.010 | 1.12 | 0.119 | 0.108 | 0.93 | 1.010 | |
5 | CFI | 1.11 | 0.068 | 0.062 | 1.28 | 1.012 | 1.12 | 0.121 | 0.110 | 1.03 | 1.012 | |
5 | CFF | 1.00 | 0.067 | 0.061 | 2.11 | 0.919 | 0.98 | 0.193 | 0.176 | 3.10 | 0.900 | |
7 | SDF | 0.84 | 0.029 | 0.035 | 0.55 | 1.009 | 0.84 | 0.078 | 0.094 | 0.39 | 1.009 | |
7 | ADF2 | 0.84 | 0.029 | 0.035 | 0.51 | 1.009 | 0.84 | 0.083 | 0.100 | 0.38 | 1.009 | |
7 | CFI | 0.84 | 0.043 | 0.052 | 0.39 | 1.010 | 0.85 | 0.085 | 0.102 | 0.39 | 1.010 | |
7 | CFF | 0.77 | 0.038 | 0.046 | 0.69 | 0.930 | 0.78 | 0.137 | 0.166 | 0.87 | 0.923 | |
10 | SDF | 0.62 | 0.018 | 0.029 | 0.12 | 1.008 | 0.62 | 0.063 | 0.102 | 0.11 | 1.008 | |
10 | ADF2 | 0.62 | 0.018 | 0.030 | 0.12 | 1.008 | 0.63 | 0.068 | 0.110 | 0.13 | 1.008 | |
10 | CFI | 0.62 | 0.032 | 0.053 | 0.09 | 1.009 | 0.63 | 0.070 | 0.113 | 0.10 | 1.009 | |
10 | CFF | 0.58 | 0.024 | 0.040 | 0.36 | 0.935 | 0.59 | 0.114 | 0.185 | 0.34 | 0.931 | |
15 | SDF | 0.44 | 0.012 | 0.028 | 0.16 | 1.008 | 0.45 | 0.056 | 0.127 | 0.19 | 1.008 | |
15 | ADF2 | 0.44 | 0.012 | 0.028 | 0.14 | 1.008 | 0.45 | 0.060 | 0.137 | 0.19 | 1.008 | |
15 | CFI | 0.44 | 0.028 | 0.063 | 0.18 | 1.009 | 0.45 | 0.062 | 0.142 | 0.18 | 1.009 | |
15 | CFF | 0.41 | 0.017 | 0.038 | 0.39 | 0.938 | 0.42 | 0.102 | 0.232 | 0.36 | 0.935 | |
20 | SDF | 0.35 | 0.010 | 0.029 | 0.02 | 1.008 | 0.35 | 0.053 | 0.155 | 0.07 | 1.008 | |
20 | ADF2 | 0.35 | 0.010 | 0.029 | 0.03 | 1.008 | 0.35 | 0.057 | 0.166 | 0.09 | 1.008 | |
20 | CFI | 0.35 | 0.026 | 0.075 | 0.05 | 1.009 | 0.35 | 0.060 | 0.173 | 0.06 | 1.009 | |
20 | CFF | 0.32 | 0.013 | 0.039 | 0.25 | 0.939 | 0.34 | 0.098 | 0.282 | 0.27 | 0.935 | |
|
||||||||||||
5 | SDF | 1.11 | 0.051 | 0.047 | 1.66 | 1.010 | 1.11 | 0.083 | 0.075 | 1.08 | 1.011 | |
5 | ADF2 | 1.11 | 0.051 | 0.047 | 1.64 | 1.010 | 1.11 | 0.087 | 0.079 | 1.05 | 1.011 | |
5 | CFI | 1.11 | 0.058 | 0.053 | 1.41 | 1.011 | 1.11 | 0.087 | 0.079 | 1.06 | 1.011 | |
5 | CFF | 1.06 | 0.054 | 0.049 | 1.47 | 0.965 | 1.06 | 0.129 | 0.117 | 0.88 | 0.962 | |
7 | SDF | 0.84 | 0.028 | 0.034 | 0.58 | 1.009 | 0.84 | 0.055 | 0.066 | 0.38 | 1.009 | |
7 | ADF2 | 0.84 | 0.028 | 0.034 | 0.52 | 1.009 | 0.84 | 0.058 | 0.070 | 0.34 | 1.009 | |
7 | CFI | 0.84 | 0.035 | 0.042 | 0.46 | 1.009 | 0.84 | 0.059 | 0.071 | 0.36 | 1.009 | |
7 | CFF | 0.81 | 0.030 | 0.036 | 0.51 | 0.971 | 0.81 | 0.091 | 0.110 | 0.41 | 0.970 | |
10 | SDF | 0.62 | 0.017 | 0.028 | 0.11 | 1.008 | 0.62 | 0.043 | 0.070 | 0.05 | 1.008 | |
10 | ADF2 | 0.62 | 0.018 | 0.028 | 0.11 | 1.008 | 0.62 | 0.046 | 0.074 | 0.06 | 1.008 | |
10 | CFI | 0.62 | 0.025 | 0.040 | 0.12 | 1.008 | 0.62 | 0.047 | 0.076 | 0.05 | 1.008 | |
10 | CFF | 0.60 | 0.019 | 0.031 | 0.12 | 0.973 | 0.60 | 0.075 | 0.122 | 0.15 | 0.972 | |
15 | SDF | 0.44 | 0.012 | 0.027 | 0.17 | 1.008 | 0.44 | 0.037 | 0.085 | 0.16 | 1.008 | |
15 | ADF2 | 0.44 | 0.012 | 0.027 | 0.14 | 1.008 | 0.44 | 0.040 | 0.091 | 0.13 | 1.008 | |
15 | CFI | 0.44 | 0.020 | 0.045 | 0.26 | 1.007 | 0.44 | 0.041 | 0.093 | 0.15 | 1.007 | |
15 | CFF | 0.43 | 0.013 | 0.029 | 0.18 | 0.974 | 0.43 | 0.067 | 0.152 | 0.23 | 0.974 | |
20 | SDF | 0.35 | 0.009 | 0.027 | 0.02 | 1.008 | 0.35 | 0.035 | 0.102 | 0.03 | 1.008 | |
20 | ADF2 | 0.35 | 0.009 | 0.027 | 0.02 | 1.008 | 0.35 | 0.038 | 0.110 | 0.03 | 1.008 | |
20 | CFI | 0.35 | 0.018 | 0.053 | 0.15 | 1.007 | 0.35 | 0.039 | 0.113 | 0.03 | 1.007 | |
20 | CFF | 0.34 | 0.010 | 0.029 | 0.04 | 0.974 | 0.34 | 0.064 | 0.185 | 0.11 | 0.974 |
Notes. Different CAs, IA always 2QI. The “Fail (%)” columns show the percentage of 4σ outliers. p1 is the linear coefficient fitted to Eq. (7). The image scale is 0″̣41/pixel. In the top part, the FOV is 16 × 16 pixels or 6″̣6 × 6″̣6. In the center part, the FOV is 24 × 24 pixels or 9″̣8 × 9″̣8. In the bottom part, the FOV is 36 × 36 pixels or 14″̣8 × 14″̣8.
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