Crate zernike[−][src]
Zernike polynomials
Computes the Zernike polynomials according to Noll ordering:
| j | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | ... |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| n | 0 | 1 | 1 | 2 | 2 | 2 | 3 | 3 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | ... |
| m | 0 | 1 | 1 | 0 | 2 | 2 | 1 | 1 | 3 | 3 | 0 | 2 | 2 | 4 | 4 | 1 | 1 | 3 | 3 | 5 | 5 | ... |
where n, m, and j are the radial order, the azimuthal order and the polynomial index, respectively
Functions
| jnm | Returns the Zernike indices |
| mgs_mode_set | Orthonormal Zernike set |
| mgs_mode_set_on_mask | Orthonormal Zernike set |
| mode | Zernike mode on a regular grid n_xy X n_xy |
| mode_set | Zernike polynomial set |
| projection | Surface decomposition |
| projection_on_mask | Surface decomposition |
| zernike | Returns the Zernike polynomial (j,n,m) value at the polar coordinates (o,r) |