Table 2.
Statistics on the recovery of spherical thermal dust maps with the proposed approaches.
| Method | Bias |
RMSE |
MAD |
|||||||
|---|---|---|---|---|---|---|---|---|---|---|
| All | Out | Gal. | All | Out | Gal. | All | Out | Gal. | ||
| Rotation | α = 0 | 0.008 | 0.005 | 0.016 | 4.266 | 3.028 | 6.270 | 3.020 | 2.392 | 4.490 |
| α = 0.1 | 0.008 | 0.005 | 0.016 | 4.264 | 3.025 | 6.268 | 3.018 | 2.389 | 4.488 | |
| α = 0.2 | 0.008 | 0.005 | 0.016 | 4.261 | 3.022 | 6.264 | 3.016 | 2.387 | 4.485 | |
| α = 0.3 | 0.008 | 0.005 | 0.016 | 4.256 | 3.019 | 6.257 | 3.012 | 2.384 | 4.480 | |
| α = 0.4 | 0.008 | 0.005 | 0.016 | 4.256 | 3.021 | 6.255 | 3.012 | 2.384 | 4.480 | |
| α = 0.5 | 0.008 | 0.005 | 0.016 | 4.258 | 3.024 | 6.257 | 3.012 | 2.384 | 4.481 | |
| α = 0.6 | 0.008 | 0.005 | 0.016 | 4.252 | 3.017 | 6.252 | 3.008 | 2.380 | 4.477 | |
| α = 0.7 | 0.008 | 0.005 | 0.016 | 4.256 | 3.020 | 6.256 | 3.010 | 2.381 | 4.480 | |
| α = 0.8 | 0.008 | 0.005 | 0.016 | 4.257 | 3.019 | 6.261 | 3.010 | 2.380 | 4.483 | |
| α = 0.9 | 0.008 | 0.005 | 0.016 | 4.260 | 3.019 | 6.266 | 3.011 | 2.380 | 4.486 | |
| α = 1 | 0.008 | 0.005 | 0.016 | 4.267 | 3.027 | 6.273 | 3.012 | 2.380 | 4.489 | |
| Patchwork | α = 0 | 0.008 | 0.006 | 0.014 | 4.507 | 3.383 | 6.409 | 3.252 | 2.657 | 4.643 |
| α = 0.1 | 0.008 | 0.006 | 0.014 | 4.502 | 3.376 | 6.404 | 3.246 | 2.650 | 4.638 | |
| α = 0.2 | 0.008 | 0.006 | 0.014 | 4.499 | 3.375 | 6.398 | 3.243 | 2.648 | 4.634 | |
| α = 0.3 | 0.008 | 0.006 | 0.014 | 4.488 | 3.364 | 6.386 | 3.231 | 2.636 | 4.642 | |
| α = 0.4 | 0.008 | 0.006 | 0.014 | 4.492 | 3.373 | 6.385 | 3.235 | 2.641 | 4.624 | |
| α = 0.5 | 0.008 | 0.006 | 0.014 | 4.497 | 3.379 | 6.388 | 3.232 | 2.637 | 4.623 | |
| α = 0.6 | 0.008 | 0.006 | 0.014 | 4.485 | 3.366 | 6.377 | 3.223 | 2.628 | 4.615 | |
| α = 0.7 | 0.008 | 0.006 | 0.014 | 4.497 | 3.382 | 6.385 | 3.230 | 2.635 | 4.621 | |
| α = 0.8 | 0.008 | 0.006 | 0.014 | 4.502 | 3.388 | 6.390 | 3.234 | 2.639 | 4.626 | |
| α = 0.9 | 0.008 | 0.006 | 0.014 | 4.509 | 3.395 | 6.398 | 3.239 | 2.644 | 4.632 | |
| α = 1 | 0.008 | 0.006 | 0.014 | 4.527 | 3.416 | 6.413 | 3.233 | 2.634 | 4.633 | |
| Dict. Learn. | 0.008 | 0.006 | 0.014 | 4.034 | 2.343 | 6.440 | 2.570 | 1.750 | 4.487 | |
Notes. Bias, root mean square error (RMSE), and mean absolute deviation (MAD) are presented, for the overall map (All), the region not in the mask (Out), and the galactic region (Gal.) defined by the mask of Fig. 8. The best results are in bold, the best results among α-shearlets are underlined. Units are in μK.
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