Introduction

This simulation compares reconstructions using the extracted PSFs with reconstructions using a fit procedure to create artificial PSFs out of the extrcated PSFs. This test uses several Strehl ratios (0.05, 0.1, 0.2, 0.3, and 0.4) for the target and calibrator PSF. The calibrator brightness ranges from 14.0 mag to 22.0 mag. The target and calibrator have the same Strehl ratios, but they are created separately and therefore not exactly equal. No additional complications (like spectrum or OPD errors, etc.) were introduced. The setup used for this experiment is (for the common test setup see table 1):

This experiment uses monochromatic PSFs for the J- and K-Band with a strehl of 0.05, 0.1, 0.2, 0.3, and 0.4. The calibrator and target uses differently created PSFs with the same parameters.
In order to test the sensitivity to the calibrator brightness, magnitudes from 14mag to 22 mag in 1mag steps are used.
Two different targets were used:
1. A scaled down image of NGC4151 and an overlayed image of a simulated dust torus (AGN).
2. A small star cluster where different distances and brightness levels do exist
For each position angle (108, 144, 180, 216, 252 degree) an image equivalent to 60 seconds exposure time was created.

The experiment uses a target which consists of a scaled down image of NGC4151 and an overlayed image of a simulated dust torus. A second object shows a small star cluster where different distances and brightness levels do exist. These objects are observed (we assume this) in J-Band and K-band five times at different position angles. The image contains exactly one star which can be used as a calibrator. It was additionally assumed, that the background around this star could be perfectly compensated (no inhomogenious sky background or target halo).

The raw data were generated according to the common scheme described in section Overview. In addition, the images for the target and calibrator are generated separately which means, that the psf-star image is not influenced by the target (no halo, etc.).

All simulated input data for the LN DRS pipeline are available as tar-files (ex11_j_input.tar.gz (???MB) and ex11_k_input.tar.gz (???MB)). The corresponding results are also available as tar files (ex11_j_results.tar.gz (???MB) and ex11_k_results.tar.gz (???MB)).

This experiment reconstructs images in two different ways:

The normal process of extracting the PSF from the calibrator images is used.
After extracting the PSF, the two major components of a PSF, a gaussian shaped halo and the perfect core is fitted to the measured data.

For both reconstructions, the Richardson-Lucy algorithm was used. It must be noted, that a very simple model of the LINC-NIRVANA PSFs was used. For real observations, a extended version of an artificial PSF should be used or this artificial PSF is used as a starting point for a blind deconvolution process.

The generated calibrator raw images are shown in section Calibrator. The raw images and deconvolution results are shown in section Raw Frames and Results for an AGN for the AGN and section Raw Frames and Results for a star cluster for the star cluster.

Calibrator

The simulated raw LBT interferograms used for the deconvolution are ideal images, they are not influenced by detector effects like different pixel gain or bad pixels. In figure 1 (J-Band) and figure 2 (K-Band) the psf-stars for some stellar brightness levels are shown.

Figure 1: Central 128x128 pixels of the generated J-Band images of a calibrator at different strehl ratios (from left to right: 0.05, 0.1, 0.2, 0.3, and 0.4) and magnitudes (from top to bottom: 14, 16, 18, 20, and 22mag).

Figure 2: Central 128x128 pixels of the generated K-Band images of a calibrator at different strehl ratios (from left to right: 0.05, 0.1, 0.2, 0.3, and 0.4) and magnitudes (from top to bottom: 14, 16, 18, 20, and 22mag).

Raw Frames and Results for an AGN

The basis of this simulation is an image of NGC4151 with an overlayed dust torus (see figure 1). The simulated raw images are shown in figure 3.

Figure 3: The simulated raw images for a position angle of 180 degree of NGC4151 at 10.1mag including sky background at different strehl ratios (from left to right: 0.05, 0.1, 0.2, 0.3, and 0.4). The top row shows the J-Band, the bottom row shows the K-Band images.

A comparison of the reconstructions depending on the calibrator brightness and strehl ratio is presented in figure 4 (J-Band, strehl ratio 0.05), figure 5 (K-Band, strehl ratio 0.05), figure 6 (J-Band, strehl ratio 0.10), figure 7 (K-Band, strehl ratio 0.10), figure 8 (J-Band, strehl ratio 0.20), figure 9 (K-Band, strehl ratio 0.20), figure 10 (J-Band, strehl ratio 0.30), figure 11 (K-Band, strehl ratio 0.30), figure 12 (J-Band, strehl ratio 0.40), and figure 13 (K-Band, strehl ratio 0.40).

Figure 4: AGN: The J-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.05. In the top row, the first image shows the J-Band reference image of NGC4151, the second image shows the five coadded J-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 5: AGN: The K-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.05. In the top row, the first image shows the K-Band reference image of NGC4151, the second image shows the five coadded K-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 6: AGN: The J-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.10. In the top row, the first image shows the J-Band reference image of NGC4151, the second image shows the five coadded J-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 7: AGN: The K-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.10. In the top row, the first image shows the K-Band reference image of NGC4151, the second image shows the five coadded K-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 8: AGN: The J-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.20. In the top row, the first image shows the J-Band reference image of NGC4151, the second image shows the five coadded J-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 9: AGN: The K-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.20. In the top row, the first image shows the K-Band reference image of NGC4151, the second image shows the five coadded K-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 10: AGN: The J-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.30. In the top row, the first image shows the J-Band reference image of NGC4151, the second image shows the five coadded J-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 11: AGN: The K-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.30. In the top row, the first image shows the K-Band reference image of NGC4151, the second image shows the five coadded K-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 12: AGN: The J-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.40. In the top row, the first image shows the J-Band reference image of NGC4151, the second image shows the five coadded J-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 13: AGN: The K-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.40. In the top row, the first image shows the K-Band reference image of NGC4151, the second image shows the five coadded K-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

In table 1 (J-Band) and table 2 (K-Band) the errors for the AGN depending on the psf star brightness are presented. In figure 14 (strehl ratio 0.05), figure 15 (strehl ratio 0.1), figure 16 (strehl ratio 0.2), figure 17 (strehl ratio 0.3), and figure 18 (strehl ratio 0.4), the image errors depending on the calibrator brightness are shown.

Table 1: Reconstruction errors for the AGN depending on the psf star brightness and strehl ratio (J-Band).
Testcase		Richardson-Lucy	RL, fitted PSF	Building-Block	BB, fitted PSF
Strehl	Mag (C)	Image Error	Image Error	Image Error	Image Error
0.05	14.0	0.060 (0.060)	0.055 (0.055)	0.030 (0.029)	0.038 (0.037)
0.05	15.0	0.087 (0.087)	0.055 (0.055)	0.030 (0.029)	0.038 (0.037)
0.05	16.0	0.151 (0.146)	0.056 (0.056)	0.041 (0.040)	0.039 (0.038)
0.05	17.0	0.215 (0.211)	0.055 (0.055)	0.086 (0.081)	0.038 (0.037)
0.05	18.0	0.281 (0.277)	0.060 (0.060)	0.162 (0.160)	0.047 (0.046)
0.05	19.0	0.355 (0.336)	0.084 (0.084)	0.253 (0.251)	0.073 (0.073)
0.05	20.0	0.431 (0.393)	0.073 (0.073)	0.408 (0.403)	0.074 (0.070)
0.05	21.0	0.500 (0.441)	0.248 (0.246)	0.691 (0.689)	0.264 (0.208)
0.05	22.0	0.508 (0.462)	0.399 (0.399)	0.877 (0.870)	0.398 (0.398)
0.10	14.0	0.036 (0.036)	0.041 (0.041)	0.016 (0.016)	0.033 (0.033)
0.10	15.0	0.061 (0.061)	0.040 (0.040)	0.017 (0.017)	0.032 (0.032)
0.10	16.0	0.112 (0.104)	0.041 (0.041)	0.020 (0.020)	0.033 (0.033)
0.10	17.0	0.166 (0.156)	0.038 (0.038)	0.043 (0.042)	0.031 (0.031)
0.10	18.0	0.211 (0.204)	0.044 (0.044)	0.099 (0.096)	0.035 (0.035)
0.10	19.0	0.260 (0.257)	0.029 (0.029)	0.178 (0.176)	0.025 (0.024)
0.10	20.0	0.307 (0.295)	0.091 (0.091)	0.279 (0.277)	0.087 (0.087)
0.10	21.0	0.384 (0.353)	0.092 (0.090)	0.486 (0.486)	0.155 (0.148)
0.10	22.0	0.447 (0.400)	0.421 (0.421)	0.826 (0.826)	0.239 (0.238)
0.20	14.0	0.020 (0.020)	0.034 (0.034)	0.011 (0.010)	0.033 (0.032)
0.20	15.0	0.039 (0.039)	0.034 (0.034)	0.010 (0.010)	0.033 (0.033)
0.20	16.0	0.079 (0.073)	0.035 (0.035)	0.011 (0.011)	0.033 (0.033)
0.20	17.0	0.124 (0.111)	0.034 (0.034)	0.019 (0.019)	0.033 (0.032)
0.20	18.0	0.162 (0.149)	0.040 (0.040)	0.050 (0.048)	0.038 (0.038)
0.20	19.0	0.201 (0.193)	0.045 (0.045)	0.122 (0.119)	0.042 (0.042)
0.20	20.0	0.233 (0.229)	0.054 (0.054)	0.216 (0.215)	0.044 (0.044)
0.20	21.0	0.272 (0.268)	0.201 (0.201)	0.344 (0.343)	0.200 (0.200)
0.20	22.0	0.418 (0.386)	0.188 (0.188)	0.602 (0.602)	0.166 (0.166)
0.30	14.0	0.011 (0.011)	0.023 (0.023)	0.007 (0.006)	0.026 (0.026)
0.30	15.0	0.026 (0.026)	0.023 (0.023)	0.007 (0.007)	0.026 (0.026)
0.30	16.0	0.060 (0.058)	0.024 (0.024)	0.007 (0.007)	0.027 (0.027)
0.30	17.0	0.101 (0.089)	0.021 (0.021)	0.011 (0.011)	0.024 (0.024)
0.30	18.0	0.135 (0.121)	0.028 (0.028)	0.033 (0.031)	0.031 (0.031)
0.30	19.0	0.170 (0.158)	0.024 (0.024)	0.084 (0.081)	0.023 (0.023)
0.30	20.0	0.198 (0.188)	0.024 (0.021)	0.162 (0.161)	0.044 (0.041)
0.30	21.0	0.223 (0.215)	0.029 (0.026)	0.263 (0.263)	0.090 (0.083)
0.30	22.0	0.369 (0.356)	0.113 (0.104)	0.407 (0.406)	0.118 (0.118)
0.40	14.0	0.010 (0.010)	0.019 (0.018)	0.007 (0.007)	0.023 (0.023)
0.40	15.0	0.020 (0.020)	0.019 (0.017)	0.007 (0.007)	0.023 (0.023)
0.40	16.0	0.047 (0.046)	0.019 (0.018)	0.008 (0.008)	0.023 (0.023)
0.40	17.0	0.081 (0.073)	0.020 (0.019)	0.010 (0.010)	0.025 (0.025)
0.40	18.0	0.114 (0.100)	0.019 (0.019)	0.020 (0.019)	0.024 (0.024)
0.40	19.0	0.146 (0.131)	0.027 (0.027)	0.064 (0.062)	0.030 (0.030)
0.40	20.0	0.175 (0.163)	0.029 (0.025)	0.135 (0.133)	0.065 (0.061)
0.40	21.0	0.212 (0.200)	0.022 (0.019)	0.217 (0.216)	0.038 (0.036)
0.40	22.0	0.326 (0.313)	0.233 (0.233)	0.512 (0.512)	0.235 (0.216)

Table 2: Reconstruction errors for the AGN depending on the psf star brightness and strehl ratio (K-Band).
Testcase		Richardson-Lucy	RL, fitted PSF	Building-Block	BB, fitted PSF
Strehl	Mag (C)	Image Error	Image Error	Image Error	Image Error
0.05	14.0	0.103 (0.103)	0.062 (0.062)	0.045 (0.044)	0.050 (0.049)
0.05	15.0	0.181 (0.178)	0.063 (0.063)	0.061 (0.058)	0.050 (0.049)
0.05	16.0	0.266 (0.261)	0.062 (0.062)	0.124 (0.116)	0.049 (0.048)
0.05	17.0	0.340 (0.336)	0.065 (0.066)	0.213 (0.211)	0.052 (0.052)
0.05	18.0	0.408 (0.397)	0.086 (0.086)	0.320 (0.319)	0.094 (0.076)
0.05	19.0	0.458 (0.449)	0.194 (0.194)	0.537 (0.525)	0.192 (0.192)
0.05	20.0	0.512 (0.482)	0.490 (0.357)	0.714 (0.702)	0.497 (0.447)
0.05	21.0	0.563 (0.546)	0.672 (0.672)	0.890 (0.885)	0.672 (0.671)
0.05	22.0	0.996 (0.921)	1.527 (0.387)	0.949 (0.927)	1.897 (1.354)
0.10	14.0	0.063 (0.063)	0.044 (0.044)	0.027 (0.027)	0.040 (0.040)
0.10	15.0	0.128 (0.121)	0.045 (0.045)	0.033 (0.032)	0.042 (0.042)
0.10	16.0	0.201 (0.196)	0.041 (0.041)	0.064 (0.061)	0.039 (0.039)
0.10	17.0	0.264 (0.260)	0.041 (0.041)	0.142 (0.134)	0.037 (0.037)
0.10	18.0	0.318 (0.312)	0.051 (0.051)	0.229 (0.228)	0.045 (0.045)
0.10	19.0	0.377 (0.362)	0.124 (0.124)	0.346 (0.343)	0.115 (0.115)
0.10	20.0	0.442 (0.405)	0.219 (0.199)	0.546 (0.542)	0.319 (0.292)
0.10	21.0	0.525 (0.495)	0.299 (0.258)	0.779 (0.778)	0.522 (0.478)
0.10	22.0	0.571 (0.549)	0.331 (0.226)	0.910 (0.892)	0.393 (0.364)
0.20	14.0	0.033 (0.033)	0.034 (0.034)	0.018 (0.018)	0.033 (0.033)
0.20	15.0	0.083 (0.077)	0.033 (0.033)	0.019 (0.019)	0.031 (0.031)
0.20	16.0	0.148 (0.136)	0.032 (0.032)	0.034 (0.034)	0.031 (0.031)
0.20	17.0	0.202 (0.196)	0.031 (0.031)	0.080 (0.075)	0.028 (0.028)
0.20	18.0	0.250 (0.245)	0.025 (0.025)	0.161 (0.158)	0.023 (0.023)
0.20	19.0	0.293 (0.288)	0.086 (0.086)	0.279 (0.278)	0.086 (0.086)
0.20	20.0	0.333 (0.320)	0.207 (0.207)	0.384 (0.384)	0.186 (0.186)
0.20	21.0	0.450 (0.417)	0.316 (0.316)	0.717 (0.716)	0.310 (0.310)
0.20	22.0	0.477 (0.428)	0.381 (0.367)	0.868 (0.843)	0.345 (0.339)
0.30	14.0	0.021 (0.021)	0.030 (0.030)	0.015 (0.015)	0.026 (0.026)
0.30	15.0	0.052 (0.051)	0.030 (0.030)	0.015 (0.015)	0.027 (0.027)
0.30	16.0	0.117 (0.108)	0.029 (0.029)	0.019 (0.019)	0.025 (0.025)
0.30	17.0	0.173 (0.165)	0.034 (0.034)	0.051 (0.050)	0.031 (0.031)
0.30	18.0	0.216 (0.213)	0.038 (0.039)	0.126 (0.122)	0.036 (0.036)
0.30	19.0	0.254 (0.247)	0.060 (0.060)	0.219 (0.217)	0.057 (0.057)
0.30	20.0	0.296 (0.287)	0.026 (0.025)	0.397 (0.397)	0.026 (0.026)
0.30	21.0	0.405 (0.394)	0.196 (0.196)	0.543 (0.543)	0.180 (0.180)
0.30	22.0	0.529 (0.502)	0.355 (0.355)	1.001 (0.837)	0.467 (0.435)
0.40	14.0	0.015 (0.015)	0.025 (0.025)	0.009 (0.008)	0.024 (0.024)
0.40	15.0	0.041 (0.040)	0.026 (0.026)	0.010 (0.009)	0.025 (0.025)
0.40	16.0	0.100 (0.092)	0.025 (0.025)	0.017 (0.016)	0.024 (0.024)
0.40	17.0	0.151 (0.141)	0.033 (0.034)	0.037 (0.035)	0.033 (0.033)
0.40	18.0	0.187 (0.182)	0.018 (0.018)	0.101 (0.099)	0.017 (0.017)
0.40	19.0	0.222 (0.218)	0.030 (0.030)	0.179 (0.176)	0.029 (0.029)
0.40	20.0	0.256 (0.248)	0.045 (0.040)	0.305 (0.304)	0.073 (0.071)
0.40	21.0	0.357 (0.333)	0.187 (0.184)	0.445 (0.444)	0.189 (0.188)
0.40	22.0	0.470 (0.449)	0.109 (0.089)	0.619 (0.617)	1.083 (1.054)

Figure 14: In this figure, the image errors depending on the calibrator brightness are shown. This are the results for a strehl ratio of 0.05. The left panel shows the results for the J-Band, in the right panel, the K-band is shown.

Figure 15: In this figure, the image errors depending on the calibrator brightness are shown. This are the results for a strehl ratio of 0.10. The left panel shows the results for the J-Band, in the right panel, the K-band is shown.

Figure 16: In this figure, the image errors depending on the calibrator brightness are shown. This are the results for a strehl ratio of 0.20. The left panel shows the results for the J-Band, in the right panel, the K-band is shown.

Figure 17: In this figure, the image errors depending on the calibrator brightness are shown. This are the results for a strehl ratio of 0.30. The left panel shows the results for the J-Band, in the right panel, the K-band is shown.

Figure 18: In this figure, the image errors depending on the calibrator brightness are shown. This are the results for a strehl ratio of 0.40. The left panel shows the results for the J-Band, in the right panel, the K-band is shown.

Raw Frames and Results for a star cluster

The basis of this simulation is a small star cluster (see figure 2). The simulated raw images are shown in figure .

Figure 19: The simulated raw images for a position angle of 180 degree of a star cluster including sky background at different strehl ratios (from left to right: 0.05, 0.1, 0.2, 0.3, and 0.4). The top row shows the J-Band, the bottom row shows the K-Band images.

A comparison of the reconstructions depending on the calibrator brightness and strehl ratio is presented in figure 20 (J-Band, strehl ratio 0.05), figure 21 (K-Band, strehl ratio 0.05), figure 22 (J-Band, strehl ratio 0.10), figure 23 (K-Band, strehl ratio 0.10), figure 24 (J-Band, strehl ratio 0.20), figure 25 (K-Band, strehl ratio 0.20), figure 26 (J-Band, strehl ratio 0.30), figure 27 (K-Band, strehl ratio 0.30), figure 28 (J-Band, strehl ratio 0.40), and figure 29 (K-Band, strehl ratio 0.40).

Figure 20: Star cluster: The J-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.05. In the top row, the first image shows the J-Band reference image of the star cluster, the second image shows the five coadded J-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 21: Star cluster: The K-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.05. In the top row, the first image shows the K-Band reference image of the star cluster, the second image shows the five coadded K-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 22: Star cluster: The J-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.10. In the top row, the first image shows the J-Band reference image of the star cluster, the second image shows the five coadded J-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 23: Star cluster: The K-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.10. In the top row, the first image shows the K-Band reference image of the star cluster, the second image shows the five coadded K-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 24: Star cluster: The J-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.20. In the top row, the first image shows the J-Band reference image of the star cluster, the second image shows the five coadded J-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 25: Star cluster: The K-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.20. In the top row, the first image shows the K-Band reference image of the star cluster, the second image shows the five coadded K-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 26: Star cluster: The J-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.30. In the top row, the first image shows the J-Band reference image of the star cluster, the second image shows the five coadded J-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 27: Star cluster: The K-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.30. In the top row, the first image shows the K-Band reference image of the star cluster, the second image shows the five coadded K-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 28: Star cluster: The J-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.40. In the top row, the first image shows the J-Band reference image of the star cluster, the second image shows the five coadded J-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

Figure 29: Star cluster: The K-Band reconstructions depending on the calibrator brightness (second row to last row: 14.0 mag, 16.0 mag, 18.0 mag, 20.0 mag, and 22.0 mag) for a strehl ratio of 0.40. In the top row, the first image shows the K-Band reference image of the star cluster, the second image shows the five coadded K-Band raw images. The first column shows the results using the extracted PSF and the Richardson-Lucy algorithm. The second column shows the results using the modelled PSF and the Richardson-Lucy algorithm. In the third column, the Building-Block-Method uses the extracted PSF and the fourth column, the modelled PSF was used by the Building-Block-Method.

In table 3 (J-Band) and table 4 (K-Band) the errors for the star cluster depending on the psf star brightness are presented. In figure 30 (strehl ratio 0.05), figure 31 (strehl ratio 0.1), figure 32 (strehl ratio 0.2), figure 33 (strehl ratio 0.3), and figure 34 (strehl ratio 0.4), the image errors depending on the calibrator brightness are shown.

Table 3: Reconstruction errors for the star cluster depending on the psf star brightness and strehl ratio (J-Band).
Testcase		Richardson-Lucy		RL, fitted PSF		Building-Block		BB, fitted PSF
Strehl	Mag (C)	Image Error	Magnitude Error	Image Error	Magnitude Error	Image Error	Magnitude Error	Image Error	Magnitude Error
0.05	14.0	0.070 (0.070)	0.03, -0.02, 0.05, 1.76, 2.53	0.076 (0.076)	0.04, 0.00, 0.33, 1.96, 2.28	0.050 (0.050)	0.04, -0.02, 0.18, 2.04, 2.36	0.052 (0.052)	0.05, 0.00, 0.41, 1.64, 2.28
0.05	15.0	0.071 (0.071)	0.03, -0.03, 0.04, 1.79, 2.50	0.076 (0.076)	0.04, 0.00, 0.34, 1.95, 2.27	0.050 (0.050)	0.04, -0.02, 0.18, 2.03, 2.36	0.052 (0.052)	0.05, 0.00, 0.42, 1.64, 2.28
0.05	16.0	0.082 (0.082)	0.03, -0.02, -0.01, 2.29, 2.58	0.077 (0.077)	0.04, 0.00, 0.33, 2.01, 2.33	0.056 (0.056)	0.04, -0.02, 0.17, 2.08, 2.38	0.053 (0.053)	0.05, 0.00, 0.42, 1.67, 2.29
0.05	17.0	0.138 (0.138)	0.06, -0.03, -0.02, 4.62, 2.63	0.075 (0.075)	0.04, 0.00, 0.34, 2.07, 2.40	0.107 (0.106)	0.05, -0.02, 0.24, 1.82, 2.27	0.051 (0.051)	0.05, 0.00, 0.42, 1.71, 2.31
0.05	18.0	0.308 (0.308)	0.23, -0.06, 0.33, 4.74, 2.67	0.083 (0.083)	0.05, 0.01, 0.21, 1.53, 1.27	0.319 (0.318)	0.14, 0.03, 0.19, 4.55, 2.59	0.059 (0.059)	0.06, 0.01, 0.30, 1.43, 2.01
0.05	19.0	0.542 (0.542)	0.95, -0.08, 1.61, 4.75, 2.61	0.102 (0.102)	0.08, 0.05, 0.29, 1.18, 0.57	0.646 (0.643)	0.29, 0.21, -0.31, 0.82, -0.07	0.079 (0.079)	0.08, 0.05, 0.39, 1.19, 0.80
0.05	20.0	0.692 (0.678)	8.33, -0.07, 1.53, 4.77, 2.41	0.066 (0.066)	0.01, -0.06, 0.79, 3.67, 2.70	0.820 (0.820)	0.87, 0.70, -0.17, 4.25, -0.07	0.060 (0.060)	0.03, -0.06, 0.84, 3.77, 2.36
0.05	21.0	0.782 (0.776)	8.19, 0.46, 1.93, 4.85, 2.30	0.112 (0.112)	0.18, -0.15, 1.75, 4.77, 2.67	0.945 (0.945)	2.32, 2.11, -0.92, 4.44, -0.78	0.115 (0.115)	0.21, -0.15, 1.72, 4.29, 2.32
0.05	22.0	0.852 (0.850)	8.27, 0.57, -0.48, 4.63, 1.46	0.367 (0.367)	0.36, 0.43, 0.13, 1.79, -1.67	0.984 (0.984)	3.01, 3.00, -0.68, 1.18, -1.36	0.343 (0.343)	0.34, 0.39, 0.29, 1.90, -1.69
0.10	14.0	0.030 (0.030)	0.01, -0.00, 0.24, 0.52, 1.99	0.044 (0.044)	0.04, 0.03, 0.29, 0.59, 2.14	0.027 (0.027)	0.02, -0.00, 0.35, 0.78, 2.37	0.033 (0.033)	0.04, 0.02, 0.35, 0.64, 2.38
0.10	15.0	0.031 (0.031)	0.01, -0.00, 0.26, 0.52, 2.22	0.042 (0.042)	0.03, 0.03, 0.29, 0.59, 2.04	0.028 (0.028)	0.02, -0.01, 0.37, 0.75, 2.37	0.032 (0.032)	0.03, 0.02, 0.36, 0.64, 2.38
0.10	16.0	0.034 (0.034)	0.02, -0.01, 0.25, 0.60, 2.31	0.043 (0.043)	0.04, 0.03, 0.30, 0.59, 2.15	0.028 (0.028)	0.02, -0.00, 0.36, 0.74, 2.38	0.033 (0.033)	0.04, 0.03, 0.36, 0.64, 2.38
0.10	17.0	0.053 (0.053)	0.02, -0.02, 0.17, 1.22, 2.70	0.040 (0.040)	0.03, 0.02, 0.30, 0.59, 2.11	0.038 (0.038)	0.02, -0.00, 0.28, 0.80, 2.39	0.030 (0.030)	0.03, 0.02, 0.37, 0.64, 2.38
0.10	18.0	0.145 (0.145)	0.07, -0.07, 0.71, 4.77, 2.68	0.045 (0.045)	0.04, 0.03, 0.32, 0.59, 2.58	0.135 (0.135)	0.02, 0.00, 0.65, 0.91, 2.47	0.035 (0.035)	0.04, 0.03, 0.41, 0.65, 2.38
0.10	19.0	0.293 (0.293)	0.33, -0.11, 1.75, 4.81, 2.66	0.032 (0.032)	0.02, 0.00, 0.26, 0.68, 2.57	0.400 (0.390)	0.09, 0.08, 0.65, 0.63, 1.91	0.027 (0.027)	0.02, -0.00, 0.30, 0.77, 2.37
0.10	20.0	0.465 (0.465)	1.52, -0.19, 1.67, 4.85, 2.60	0.090 (0.090)	0.09, 0.09, 0.25, 0.47, 0.44	0.687 (0.687)	0.42, 0.27, 0.24, 1.88, 2.01	0.080 (0.080)	0.08, 0.09, 0.27, 0.49, 0.54
0.10	21.0	0.613 (0.602)	8.41, -0.17, 1.61, 4.86, 2.58	0.055 (0.055)	0.06, -0.01, 1.92, 4.77, 2.72	0.863 (0.863)	0.97, 1.02, 0.90, 4.63, -0.41	0.066 (0.065)	0.09, -0.02, 1.82, 4.31, 2.35
0.10	22.0	0.720 (0.717)	8.25, 0.28, 1.98, 5.04, 2.54	0.319 (0.319)	0.41, 0.39, -0.12, 2.01, 2.67	0.967 (0.967)	2.85, 2.68, -0.60, 0.64, -1.94	0.299 (0.299)	0.40, 0.36, -0.09, 2.09, 2.39
0.20	14.0	0.022 (0.022)	-0.00, 0.01, 0.07, 0.05, 0.42	0.041 (0.041)	0.02, 0.03, 0.10, 0.06, 0.55	0.016 (0.016)	-0.00, 0.00, 0.16, 0.13, 0.89	0.031 (0.031)	0.02, 0.03, 0.15, 0.08, 0.78
0.20	15.0	0.022 (0.022)	-0.00, 0.01, 0.08, 0.05, 0.42	0.041 (0.041)	0.02, 0.04, 0.10, 0.06, 0.56	0.016 (0.016)	-0.00, 0.00, 0.16, 0.13, 0.88	0.031 (0.031)	0.02, 0.03, 0.16, 0.08, 0.82
0.20	16.0	0.020 (0.020)	-0.01, 0.00, 0.07, 0.07, 0.43	0.041 (0.041)	0.03, 0.04, 0.10, 0.06, 0.55	0.017 (0.017)	-0.00, 0.00, 0.15, 0.12, 0.78	0.032 (0.032)	0.02, 0.03, 0.16, 0.08, 0.77
0.20	17.0	0.025 (0.025)	-0.01, -0.02, 0.13, 0.26, 1.11	0.041 (0.041)	0.02, 0.03, 0.09, 0.06, 0.54	0.019 (0.019)	-0.01, 0.00, 0.14, 0.09, 0.81	0.031 (0.031)	0.02, 0.03, 0.15, 0.08, 0.75
0.20	18.0	0.058 (0.058)	0.01, -0.05, 0.43, 1.60, 2.69	0.046 (0.046)	0.03, 0.04, 0.11, 0.05, 0.54	0.047 (0.047)	0.00, 0.01, 0.14, 0.12, 0.79	0.037 (0.037)	0.02, 0.03, 0.17, 0.06, 0.79
0.20	19.0	0.138 (0.138)	0.14, -0.10, 1.82, 4.81, 2.67	0.055 (0.055)	0.04, 0.05, 0.05, 0.07, 0.51	0.184 (0.180)	0.03, 0.03, 0.16, 0.12, 2.50	0.045 (0.045)	0.03, 0.04, 0.08, 0.08, 0.59
0.20	20.0	0.251 (0.251)	0.56, -0.11, 1.80, 4.84, 2.63	0.057 (0.057)	0.04, 0.05, 0.13, 0.07, 1.04	0.499 (0.486)	0.19, 0.15, 0.70, 0.38, 1.68	0.047 (0.046)	0.04, 0.04, 0.20, 0.09, 1.55
0.20	21.0	0.390 (0.390)	1.71, -0.09, 1.80, 4.90, 2.58	0.190 (0.190)	0.19, 0.23, 0.14, -0.00, -0.53	0.745 (0.745)	0.47, 0.46, 0.22, 4.51, 2.61	0.181 (0.181)	0.18, 0.21, 0.17, -0.01, -0.51
0.20	22.0	0.532 (0.532)	8.29, 0.01, 1.93, 4.98, 2.57	0.156 (0.156)	0.11, 0.19, 1.08, -0.30, 2.73	0.900 (0.900)	1.61, 1.39, 1.64, 0.55, 1.30	0.124 (0.124)	0.10, 0.15, 1.95, -0.26, 2.40
0.30	14.0	0.011 (0.011)	0.00, 0.00, 0.01, 0.14, -0.03	0.023 (0.023)	0.02, 0.02, 0.02, 0.12, 0.01	0.014 (0.014)	0.01, 0.00, 0.16, 0.36, 0.51	0.017 (0.017)	0.01, 0.01, 0.07, 0.15, 0.16
0.30	15.0	0.011 (0.011)	0.00, 0.00, 0.01, 0.15, -0.01	0.023 (0.023)	0.02, 0.02, 0.02, 0.11, 0.01	0.014 (0.014)	0.00, 0.00, 0.16, 0.36, 0.52	0.017 (0.017)	0.01, 0.01, 0.08, 0.15, 0.16
0.30	16.0	0.010 (0.010)	-0.00, -0.00, 0.01, 0.19, 0.05	0.024 (0.024)	0.02, 0.02, 0.02, 0.11, 0.00	0.013 (0.013)	0.01, 0.00, 0.12, 0.32, 0.39	0.018 (0.018)	0.01, 0.02, 0.07, 0.15, 0.15
0.30	17.0	0.019 (0.019)	0.00, -0.01, 0.14, 0.40, 0.60	0.020 (0.020)	0.02, 0.02, 0.02, 0.12, 0.01	0.014 (0.014)	0.01, 0.00, 0.15, 0.29, 0.49	0.014 (0.014)	0.01, 0.01, 0.07, 0.16, 0.16
0.30	18.0	0.046 (0.046)	0.02, -0.04, 0.43, 1.66, 2.69	0.028 (0.028)	0.02, 0.03, 0.00, 0.11, -0.08	0.021 (0.021)	0.01, 0.01, 0.07, 0.27, 0.34	0.021 (0.021)	0.01, 0.02, 0.04, 0.13, 0.02
0.30	19.0	0.105 (0.104)	0.11, -0.07, 1.85, 4.81, 2.67	0.020 (0.020)	0.02, 0.02, 0.04, 0.14, 0.13	0.087 (0.087)	0.02, 0.00, 0.19, 0.73, 0.78	0.014 (0.014)	0.01, 0.01, 0.09, 0.19, 0.33
0.30	20.0	0.195 (0.193)	0.41, -0.08, 1.84, 4.84, 2.64	0.017 (0.017)	0.01, -0.01, 0.11, 0.41, 0.68	0.329 (0.320)	0.12, 0.07, 0.20, 0.76, 1.82	0.035 (0.035)	0.01, -0.02, 0.56, 1.32, 2.38
0.30	21.0	0.318 (0.318)	1.21, -0.10, 1.81, 4.88, 2.60	0.045 (0.045)	0.02, -0.04, 0.24, 1.38, 1.60	0.646 (0.642)	0.33, 0.23, 0.57, 4.68, 2.72	0.079 (0.071)	0.04, -0.05, 1.79, 4.28, 2.36
0.30	22.0	0.461 (0.461)	8.30, 0.04, 1.95, 4.99, 2.56	0.053 (0.053)	-0.01, 0.05, 1.13, -0.11, 2.73	0.812 (0.812)	0.82, 0.71, 1.02, 0.72, 1.37	0.056 (0.055)	-0.00, -0.01, 1.82, 0.60, 2.38
0.40	14.0	0.013 (0.013)	0.01, 0.01, 0.04, 0.06, 0.05	0.025 (0.024)	0.02, 0.02, 0.08, 0.07, 0.13	0.011 (0.011)	0.01, 0.00, 0.10, 0.13, 0.23	0.017 (0.017)	0.01, 0.01, 0.11, 0.09, 0.25
0.40	15.0	0.011 (0.011)	0.01, 0.01, 0.04, 0.06, 0.06	0.024 (0.024)	0.02, 0.02, 0.07, 0.07, 0.12	0.011 (0.011)	0.01, 0.00, 0.09, 0.13, 0.22	0.017 (0.017)	0.01, 0.01, 0.10, 0.09, 0.24
0.40	16.0	0.008 (0.008)	0.00, -0.00, 0.05, 0.08, 0.08	0.024 (0.024)	0.02, 0.02, 0.07, 0.07, 0.12	0.012 (0.012)	0.01, 0.00, 0.08, 0.12, 0.19	0.017 (0.017)	0.01, 0.01, 0.10, 0.10, 0.24
0.40	17.0	0.015 (0.015)	0.00, -0.01, 0.16, 0.26, 0.46	0.026 (0.026)	0.02, 0.02, 0.08, 0.06, 0.13	0.012 (0.012)	0.01, 0.00, 0.11, 0.13, 0.21	0.018 (0.018)	0.01, 0.01, 0.11, 0.09, 0.26
0.40	18.0	0.041 (0.039)	0.02, -0.03, 0.49, 1.03, 2.70	0.026 (0.026)	0.02, 0.02, 0.07, 0.07, 0.11	0.019 (0.019)	0.01, 0.01, 0.09, 0.10, 0.24	0.019 (0.019)	0.01, 0.01, 0.10, 0.09, 0.22
0.40	19.0	0.095 (0.093)	0.07, -0.06, 1.86, 4.81, 2.67	0.036 (0.036)	0.03, 0.03, 0.07, 0.06, 0.14	0.070 (0.070)	0.03, 0.02, 0.27, 0.27, 0.30	0.029 (0.029)	0.02, 0.03, 0.10, 0.08, 0.23
0.40	20.0	0.158 (0.156)	0.26, -0.07, 1.86, 4.82, 2.65	0.022 (0.021)	0.01, -0.02, 0.21, 0.44, 1.13	0.231 (0.226)	0.03, 0.03, 0.26, 0.74, 2.56	0.048 (0.048)	0.01, -0.03, 1.10, 2.68, 2.41
0.40	21.0	0.275 (0.272)	0.77, -0.04, 1.88, 4.87, 2.61	0.014 (0.014)	0.00, -0.01, 0.12, 0.22, 0.35	0.550 (0.536)	0.13, 0.13, 0.87, 3.26, 1.75	0.030 (0.030)	0.01, -0.02, 0.53, 0.85, 2.42
0.40	22.0	0.431 (0.431)	8.31, 0.00, 1.90, 4.96, 2.56	0.061 (0.057)	0.06, -0.06, 0.61, 4.78, 2.68	0.833 (0.833)	0.93, 0.93, 0.65, 1.14, 0.13	0.116 (0.111)	0.23, -0.06, 1.77, 4.27, 2.36

Table 4: Reconstruction errors for the star cluster depending on the psf star brightness and strehl ratio (K-Band).
Testcase		Richardson-Lucy		RL, fitted PSF		Building-Block		BB, fitted PSF
Strehl	Mag (C)	Image Error	Magnitude Error	Image Error	Magnitude Error	Image Error	Magnitude Error	Image Error	Magnitude Error
0.05	14.0	0.343 (0.343)	0.62, 0.24, 0.64, 3.39, 2.03	0.348 (0.348)	0.65, 0.25, 0.65, 3.39, 2.05	0.154 (0.154)	0.16, 0.04, 0.91, 3.74, 1.94	0.149 (0.149)	0.20, 0.04, 0.53, 3.77, 1.95
0.05	15.0	0.348 (0.348)	0.63, 0.25, 0.59, 3.37, 2.04	0.347 (0.347)	0.65, 0.25, 0.66, 3.40, 2.06	0.174 (0.174)	0.19, 0.05, 0.50, 3.80, 1.99	0.148 (0.148)	0.20, 0.04, 0.55, 3.78, 1.95
0.05	16.0	0.356 (0.356)	0.66, 0.21, 0.59, 3.56, 2.05	0.347 (0.347)	0.65, 0.25, 0.66, 3.39, 2.06	0.226 (0.226)	0.30, 0.05, 0.84, 3.83, 2.04	0.147 (0.147)	0.20, 0.04, 0.57, 3.78, 1.95
0.05	17.0	0.436 (0.436)	0.71, 0.27, 0.65, 3.97, 2.05	0.347 (0.347)	0.65, 0.25, 0.69, 3.37, 2.07	0.488 (0.473)	0.40, 0.39, 0.58, 3.93, 2.09	0.149 (0.149)	0.21, 0.04, 0.62, 3.78, 1.96
0.05	18.0	0.605 (0.605)	4.12, 0.45, 0.84, 3.99, 1.98	0.343 (0.343)	0.66, 0.22, 0.46, 3.68, 2.05	0.711 (0.709)	1.53, 0.94, 0.17, 3.80, 1.98	0.138 (0.138)	0.18, -0.01, 0.42, 3.79, 1.93
0.05	19.0	0.791 (0.791)	7.23, 0.60, 1.17, 4.04, 1.70	0.405 (0.405)	0.66, 0.37, 0.17, 3.12, 0.46	0.872 (0.871)	2.72, 1.55, 0.21, 3.43, 0.26	0.270 (0.270)	0.37, 0.24, -0.10, 3.65, -0.18
0.05	20.0	0.946 (0.945)	7.03, 1.40, 1.33, 4.12, 1.45	0.382 (0.382)	1.70, 0.07, 0.86, 3.99, 2.02	0.951 (0.950)	3.47, 2.58, -0.75, 2.53, -0.50	0.277 (0.277)	0.95, -0.19, 1.32, 3.95, 1.98
0.05	21.0	1.002 (0.976)	6.45, 3.32, 2.30, 4.23, 0.82	0.772 (0.772)	1.51, 1.40, -0.40, 0.62, -0.96	0.980 (0.980)	3.07, 3.59, -0.08, 1.92, -1.06	0.765 (0.765)	1.49, 1.39, -0.40, 0.64, -0.88
0.05	22.0	0.996 (0.987)	2.96, 7.96, 3.35, 4.13, 1.81	0.651 (0.651)	5.12, 0.44, 0.46, 3.99, 2.03	0.991 (0.981)	3.38, 4.58, -0.11, 1.03, -0.64	0.529 (0.501)	1.36, -0.50, 1.14, 3.57, 1.71
0.10	14.0	0.148 (0.148)	0.22, 0.04, 0.80, 0.77, 2.09	0.156 (0.156)	0.25, 0.07, 0.87, 0.59, 2.12	0.097 (0.097)	0.17, 0.05, 0.53, 0.59, 1.93	0.103 (0.103)	0.20, 0.08, 0.56, 0.41, 1.95
0.10	15.0	0.145 (0.145)	0.22, 0.03, 0.78, 0.82, 2.09	0.157 (0.157)	0.25, 0.07, 0.86, 0.58, 2.11	0.095 (0.095)	0.18, 0.06, 0.50, 0.45, 1.93	0.104 (0.104)	0.20, 0.08, 0.55, 0.41, 1.94
0.10	16.0	0.152 (0.152)	0.23, 0.02, 0.61, 1.90, 2.08	0.155 (0.155)	0.25, 0.06, 0.79, 0.71, 2.11	0.113 (0.113)	0.21, 0.06, 0.55, 0.65, 1.94	0.102 (0.102)	0.20, 0.07, 0.49, 0.51, 1.93
0.10	17.0	0.180 (0.180)	0.28, 0.02, 0.68, 3.95, 2.07	0.154 (0.154)	0.25, 0.06, 0.91, 0.59, 2.12	0.220 (0.218)	0.32, 0.17, 0.79, 0.18, 2.06	0.099 (0.099)	0.19, 0.07, 0.59, 0.41, 1.94
0.10	18.0	0.321 (0.321)	1.02, 0.07, 0.86, 3.99, 2.03	0.158 (0.158)	0.25, 0.07, 0.97, 0.48, 2.12	0.516 (0.506)	0.69, 0.55, 0.30, 0.84, 2.08	0.105 (0.105)	0.21, 0.08, 0.64, 0.31, 1.95
0.10	19.0	0.529 (0.529)	7.41, 0.06, 0.86, 3.98, 1.98	0.210 (0.210)	0.34, 0.16, 0.85, 0.11, 2.16	0.744 (0.744)	1.35, 0.90, -0.29, 3.61, 1.96	0.179 (0.179)	0.31, 0.19, 0.52, 0.07, 1.99
0.10	20.0	0.672 (0.667)	7.35, 0.57, 1.19, 4.07, 1.85	0.165 (0.165)	0.49, -0.09, 1.11, 4.01, 2.04	0.885 (0.883)	2.57, 1.87, -0.24, 3.85, -0.85	0.139 (0.139)	0.48, -0.08, 1.09, 3.88, 1.95
0.10	21.0	0.853 (0.852)	6.73, 1.10, -0.45, 3.82, 2.00	0.307 (0.299)	1.39, -0.19, 1.21, 4.02, 2.00	0.954 (0.954)	2.74, 2.86, -1.11, 2.75, 1.20	0.345 (0.343)	1.25, -0.24, 1.29, 3.89, 1.92
0.10	22.0	0.883 (0.883)	7.32, 1.40, 0.02, 3.96, 1.79	0.249 (0.249)	0.59, -0.10, 1.20, 3.99, 2.04	0.983 (0.970)	4.46, 3.62, -0.36, 1.82, -0.76	0.273 (0.273)	0.47, -0.16, 1.33, 3.85, 1.95
0.20	14.0	0.071 (0.071)	0.01, 0.02, -0.23, 0.66, 1.30	0.086 (0.086)	0.05, 0.05, -0.19, 0.55, 1.60	0.045 (0.045)	0.02, 0.03, -0.24, 0.75, 1.13	0.061 (0.061)	0.05, 0.05, -0.19, 0.59, 1.51
0.20	15.0	0.068 (0.068)	0.00, 0.01, -0.23, 0.70, 1.63	0.084 (0.084)	0.04, 0.05, -0.18, 0.56, 1.69	0.045 (0.045)	0.02, 0.03, -0.23, 0.70, 1.15	0.059 (0.059)	0.05, 0.05, -0.18, 0.60, 1.63
0.20	16.0	0.067 (0.067)	0.01, -0.00, -0.22, 2.29, 2.08	0.083 (0.083)	0.04, 0.05, -0.19, 0.59, 1.58	0.057 (0.057)	0.03, 0.04, -0.21, 0.73, 1.31	0.058 (0.058)	0.04, 0.05, -0.20, 0.63, 1.50
0.20	17.0	0.078 (0.078)	0.05, -0.05, 0.37, 4.01, 2.06	0.079 (0.079)	0.04, 0.04, -0.12, 0.58, 2.06	0.096 (0.096)	0.03, 0.06, -0.22, 0.65, 1.01	0.053 (0.053)	0.04, 0.04, -0.13, 0.63, 1.93
0.20	18.0	0.139 (0.139)	0.44, -0.09, 1.43, 4.04, 2.02	0.076 (0.076)	0.03, 0.03, -0.20, 0.86, 1.84	0.275 (0.265)	0.19, 0.18, 0.01, 1.71, 0.93	0.049 (0.049)	0.03, 0.03, -0.21, 0.93, 1.91
0.20	19.0	0.320 (0.320)	7.27, -0.07, 1.33, 4.08, 1.95	0.113 (0.113)	0.07, 0.10, -0.22, 0.13, -0.26	0.609 (0.606)	0.78, 0.76, 0.24, 3.92, 1.06	0.092 (0.092)	0.07, 0.10, -0.21, 0.15, -0.20
0.20	20.0	0.434 (0.434)	7.46, 0.09, 1.38, 4.08, 1.94	0.262 (0.262)	0.26, 0.27, -0.38, -0.13, 2.10	0.785 (0.784)	1.37, 1.18, -0.62, 2.33, 1.72	0.255 (0.255)	0.27, 0.29, -0.36, -0.11, 1.93
0.20	21.0	0.720 (0.720)	7.07, 0.86, 2.00, 4.30, 1.89	0.373 (0.373)	0.41, 0.45, -0.38, -0.39, 0.16	0.941 (0.940)	3.60, 2.61, -0.72, 1.00, -0.05	0.369 (0.369)	0.43, 0.47, -0.37, -0.39, 0.15
0.20	22.0	0.818 (0.817)	2.10, 2.16, 2.08, 4.07, 2.01	0.201 (0.201)	0.17, 0.24, 1.55, -0.01, 2.16	0.976 (0.956)	2.96, 3.79, -0.37, 0.81, -0.41	0.211 (0.211)	0.20, 0.24, 1.64, 0.00, 1.95
0.30	14.0	0.050 (0.050)	0.06, -0.01, 0.28, 0.36, 1.63	0.065 (0.065)	0.08, 0.02, 0.29, 0.32, 1.80	0.034 (0.034)	0.06, -0.00, 0.31, 0.40, 1.47	0.050 (0.050)	0.09, 0.02, 0.32, 0.35, 1.65
0.30	15.0	0.046 (0.046)	0.05, -0.02, 0.29, 0.38, 1.81	0.066 (0.066)	0.08, 0.02, 0.29, 0.31, 1.76	0.034 (0.034)	0.06, -0.01, 0.31, 0.39, 1.38	0.051 (0.051)	0.09, 0.02, 0.32, 0.35, 1.59
0.30	16.0	0.046 (0.046)	0.04, -0.04, 0.38, 0.79, 2.08	0.062 (0.062)	0.08, 0.01, 0.31, 0.32, 2.00	0.036 (0.036)	0.06, -0.01, 0.33, 0.46, 1.58	0.047 (0.047)	0.08, 0.02, 0.35, 0.36, 1.92
0.30	17.0	0.082 (0.082)	0.09, -0.08, 1.49, 4.03, 2.05	0.069 (0.069)	0.09, 0.02, 0.31, 0.29, 1.69	0.055 (0.055)	0.09, 0.00, 0.36, 0.73, 1.10	0.054 (0.054)	0.09, 0.03, 0.33, 0.32, 1.53
0.30	18.0	0.133 (0.133)	0.38, -0.11, 1.47, 4.04, 2.02	0.077 (0.077)	0.10, 0.03, 0.21, 0.32, 1.34	0.165 (0.163)	0.10, 0.06, 1.35, 0.39, 1.89	0.063 (0.063)	0.10, 0.04, 0.24, 0.36, 1.29
0.30	19.0	0.278 (0.278)	2.22, -0.11, 1.41, 4.08, 1.96	0.099 (0.099)	0.13, 0.06, 0.15, 0.29, 1.26	0.454 (0.443)	0.43, 0.44, 0.21, -0.00, 2.08	0.089 (0.088)	0.13, 0.06, 0.18, 0.33, 1.24
0.30	20.0	0.346 (0.346)	7.47, 0.03, 1.47, 4.12, 1.93	0.047 (0.047)	0.05, -0.02, 0.47, 0.39, 2.08	0.752 (0.752)	1.50, 1.15, 0.74, 4.02, 0.55	0.034 (0.034)	0.05, -0.02, 0.51, 0.44, 1.93
0.30	21.0	0.602 (0.602)	7.37, 0.86, 2.17, 4.35, 1.87	0.199 (0.199)	0.24, 0.20, -0.20, 0.46, -0.49	0.867 (0.866)	1.89, 1.99, 0.17, 4.15, 0.72	0.192 (0.192)	0.25, 0.20, -0.17, 0.49, -0.51
0.30	22.0	0.597 (0.589)	7.43, 0.01, 0.64, 3.98, 2.03	0.244 (0.242)	1.06, -0.15, 1.45, 4.06, 1.99	1.000 (0.949)	5.33, 6.41, 2.99, 1.26, -0.28	0.285 (0.284)	1.60, -0.14, 1.39, 3.80, 1.80
0.40	14.0	0.042 (0.042)	0.01, 0.01, 0.08, 0.59, 1.12	0.052 (0.052)	0.03, 0.03, 0.08, 0.51, 1.32	0.035 (0.035)	0.02, 0.01, 0.11, 0.65, 1.24	0.045 (0.045)	0.03, 0.03, 0.12, 0.56, 1.44
0.40	15.0	0.040 (0.040)	0.01, -0.00, 0.09, 0.61, 1.21	0.053 (0.053)	0.03, 0.03, 0.09, 0.49, 1.30	0.035 (0.035)	0.02, 0.01, 0.12, 0.65, 1.24	0.045 (0.045)	0.03, 0.03, 0.12, 0.54, 1.43
0.40	16.0	0.042 (0.042)	-0.00, -0.02, 0.22, 1.27, 2.08	0.052 (0.052)	0.03, 0.03, 0.09, 0.50, 1.31	0.035 (0.035)	0.02, 0.01, 0.10, 0.67, 1.10	0.045 (0.044)	0.03, 0.03, 0.12, 0.55, 1.44
0.40	17.0	0.072 (0.072)	0.04, -0.05, 1.52, 4.03, 2.05	0.060 (0.060)	0.04, 0.04, 0.06, 0.45, 1.10	0.052 (0.052)	0.03, 0.03, 0.08, 0.70, 1.00	0.053 (0.053)	0.04, 0.04, 0.10, 0.49, 1.21
0.40	18.0	0.140 (0.138)	0.31, -0.08, 1.51, 4.04, 2.02	0.045 (0.045)	0.02, 0.01, 0.15, 0.56, 1.73	0.115 (0.115)	0.07, 0.05, 0.26, 0.52, 0.57	0.036 (0.036)	0.02, 0.02, 0.19, 0.62, 1.88
0.40	19.0	0.283 (0.282)	1.61, -0.05, 1.53, 4.09, 1.96	0.054 (0.054)	0.03, 0.03, 0.14, 0.43, 1.69	0.322 (0.312)	0.29, 0.25, 0.48, 1.73, 2.06	0.046 (0.046)	0.03, 0.03, 0.18, 0.48, 1.84
0.40	20.0	0.393 (0.389)	7.47, 0.08, 1.59, 4.16, 1.92	0.065 (0.065)	-0.00, -0.04, 0.64, 4.00, 2.07	0.673 (0.673)	0.74, 0.85, 0.49, 3.82, 1.25	0.069 (0.066)	0.02, -0.04, 1.08, 3.79, 1.91
0.40	21.0	0.510 (0.509)	7.38, 0.71, 2.02, 4.30, 1.88	0.156 (0.156)	0.14, 0.18, -0.04, 0.23, -0.52	0.820 (0.820)	1.32, 1.49, -0.82, 3.96, -1.12	0.154 (0.154)	0.14, 0.18, -0.03, 0.25, -0.50
0.40	22.0	0.572 (0.572)	7.41, 0.13, 1.31, 4.05, 1.95	0.463 (0.373)	7.55, -0.09, 1.51, 4.12, 1.93	0.896 (0.896)	3.10, 1.77, 0.46, 1.93, 1.41	0.508 (0.422)	6.49, -0.01, 1.51, 3.91, 1.79

Figure 30: In this figure, the image errors depending on the calibrator brightness are shown. This are the results for a strehl ratio of 0.05. The left panel shows the results for the J-Band, in the right panel, the K-band is shown.

Figure 31: In this figure, the image errors depending on the calibrator brightness are shown. This are the results for a strehl ratio of 0.10. The left panel shows the results for the J-Band, in the right panel, the K-band is shown.

Figure 32: In this figure, the image errors depending on the calibrator brightness are shown. This are the results for a strehl ratio of 0.20. The left panel shows the results for the J-Band, in the right panel, the K-band is shown.

Figure 33: In this figure, the image errors depending on the calibrator brightness are shown. This are the results for a strehl ratio of 0.30. The left panel shows the results for the J-Band, in the right panel, the K-band is shown.

Figure 34: In this figure, the image errors depending on the calibrator brightness are shown. This are the results for a strehl ratio of 0.40. The left panel shows the results for the J-Band, in the right panel, the K-band is shown.