Breaking the degeneracy in stellar spectral classification from single wide-band images

Open Access

Table A.1

Coordinates and notation used throughout this article. (Liaudat et al. (2023b)).

Variable	Description
Coordinates

(x, y)	Pupil plane or output aperture plane coordinates.
(u, v)	Image or focal plane coordinates.
(ξ, η)	Object plane coordinates.
$(\bar{u}, \bar{v})$ $(\bar u,\bar \v )$	Pixel coordinates, the discrete counterpart of the image plane.
p_i	3D spatial coordinate.
λ	Wavelength
t	Time

Notation

𝐼, ℋ, …	Calligraphic uppercase variables are continuous functions.
I, H, …	Uppercase variables are matrices.
$c_{m}, b_{1}^{k}, \dots$ ${c_m},b_1^k, \ldots$	Lowercase variables are scalars.
$I_{img} (\bar{u}, \bar{v}; t ∣ u_{i}, v_{i}) \in ℝ$ ${I_{{\rm{img}}}}\left( {\bar u,\bar \v ;t\mid {u_i},{\v _i}} \right) \in$	Pixel value at position $(\bar{u}, \bar{v})$ $(\bar u,\bar \v )$ for the image I_img with its centroid at position (u_i, v_i) observed at time t.
$I_{img, (\cdot ∣ u_{i}, v_{i})} \in ℝ^{p \times p}$ ${I_{{\rm{img}},\left( { \cdot \mid {u_i},{v_i}} \right)}} \in {^{p \times p}}$	Observed image with its centroid at position (u_i, v_i).

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.