Open Access
Table 1.
Important variables used in this article.
| Variable | Description |
|---|---|
| Observational model | |
| ℋ | PSF field |
| ℱ | Degradation operator |
 |
2-dimensional position of star i in CCD k |
 |
Number of observed stars in CCD k |
| N | Number of observed stars in all the CCDs |
| nk, i | Noise realisation of star i in CCD k |
| yk, i | Square star observation stamp i on CCD k |
| ny | Number of pixels on one dimension of yk, i |
| D | Downsampling factor |
| yk, i | 1-dimensional column representation of yk, i |
| Yk | Matrix stacking all the star observations yk, i |
| PSF model | |
 |
PSF model estimation of the observed stars Yk |
 |
Local and global number of eigenPSFs |
Sk,  |
Local and global eigenPSF matrices |
Ak,  |
Local and global weight matrices |
αk,  |
Local and global spatial constraint weights |
 , Πk |
Local and global spatial constraint dictionaries |
 ,  |
Local and global denoising parameters |
| (ek, i, ak, i) | RCA graph constraint parameters |
wk, i,  |
Local and global weight vectors for |
| The sparsity inducing term | |
| Φ | Sparsity inducing transform |
| PSF recovery | |
| ϕ | Radial Basis Function (RBF) kernel |
| NRBF | Number of elements used to estimate the |
| RBF interpolant | |
 |
RBF interpolation weights |
| Ak(NRBF) | Weight matrix composed by the NRBF closest |
| Stars of a given target position | |
Ak, u,  |
Local and global interpolated weight columns |
| For a target position u | |
 |
Recovered PSF at position u |
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