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5d61225 567b333 5d61225 567b333 a30ddbc 567b333 c7180e6 567b333 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 | import math
import matplotlib.pyplot as plt
import numpy as np
from zernike import RZern
import utils
SAMPLE_SIZE = 256
span = (-1, 1)
class Zernike:
def __init__(self):
self.set_image_params()
self.term = [
"PISTON",
"V-TILT",
"H-TILT",
"O-PR-ASTIGMATISM",
"DEFOCUS",
"V-PR-ASTIGMATISM",
"V-TREFOIL",
"V-PR-COMA",
"H-PR-COMA",
"O-TREFOIL",
"O-QUADRAFOIL",
"O-SC-ASTIGMATISM",
"P-SPHERICAL",
"V-SC-ASTIGMATISM",
"V-QUADRAFOIL",
# "V-SC-COMA",
# "H-SC-COMA",
# "V-SC-TREFOIL",
# "O-SC-TREFOIL",
# "O-PENTAFOIL",
# "V-PENTAFOIL"
]
def set_image_params(self, span = (-(10 ** -2), 10 ** -2), npix = 2**8):
self.span = span
self.npix = npix
ddx = np.linspace(*self.span, self.npix)
ddy = np.linspace(*self.span, self.npix)
self.xv, self.yv = np.meshgrid(ddx, ddy)
def generate_zern_screen(self, zerns, norm_radius = 1):
zerns = self._osa_to_noll_list(zerns)
num_zerns = len(zerns)
mask = utils.circle_mask(self.xv, self.yv, norm_radius)
degree = math.ceil((-3 + math.sqrt(8 * num_zerns + 1)) / 2)
zerns = list(zerns) + [0] * int((((degree + 1) * (degree + 2) / 2) - len(zerns)))
cart = RZern(degree)
cart.make_cart_grid(self.xv/norm_radius, self.yv/norm_radius)
screen = np.array(cart.eval_grid(np.array(zerns), matrix=True))
screen[mask == 0] = 0
screen[np.isnan(screen)] = 0
return screen
def generate_zern_wavefront_fig(self, *zerns):
Phi = self.generate_zern_screen(zerns)
# Phi[np.isnan(Phi)] = 0
fig_2d, ax_2d = plt.subplots()
fig_3d, ax_3d = plt.subplots(subplot_kw={"projection": "3d"})
a = ax_2d.imshow(Phi, extent=(*span, *span), cmap='gray')
ax_3d.plot_surface(self.xv, self.yv, Phi)
fig_2d.colorbar(a)
plt.show()
return fig_2d, fig_3d
def add_defocus(self, defocus_value, zernikes):
zernikes = list(zernikes)
if len(zernikes) < 5:
zernikes += [0] * (5-len(zernikes))
zernikes[4] += defocus_value
return zernikes
def generate_batch(self, resolution):
#term = ["PISTON","V-TILT","H-TILT","DEFOCUS","O-PR-ASTIGMATISM","V-PR-ASTIGMATISM","V-PR-COMA","H-PR-COMA","V-TREFOIL","O-TREFOIL","P-SPHERICAL","O-SC-ASTIGMATISM","V-SC-ASTIGMATISM","V-QUADRAFOIL","O-QUADRAFOIL","V-SC-COMA","H-SC-COMA","V-SC-TREFOIL","O-SC-TREFOIL","O-PENTAFOIL","V-PENTAFOIL"]
fig = plt.figure()
fig.set_figwidth(30)
fig.set_figheight(20)
zern_index = 1
for i in range(5):
for j in range(6):
if j > i:
continue
zern = [0] * (zern_index - 1) + [1]
ax = plt.subplot2grid((5, 6), (i, j))
Phi = self.generate_zern_screen(zern, norm_radius=self.span[1]/2)
ax.set_title(f" \n Zernike {zern_index-1} — {self.term[zern_index-1]} ")
ax.imshow(Phi, extent=(*span, *span), cmap='gray')
zern_index += 1
plt.show()
return fig
def _osa_to_mn(self, idx):
n = math.ceil((-3 + math.sqrt((9 + 8 * idx))) / 2)
m = 2 * idx - n * (n + 2)
return m, n
def _mn_to_noll(self, m, n):
first = (n * (n + 1)) // 2
second = abs(m)
third = 0
# I wanted to simplify the logic but it seems to work like a colander
if m > 0 and n % 4 in [0, 1]:
third = 0
elif m < 0 and n % 4 in [2, 3]:
third = 0
elif m >= 0 and n % 4 in [2, 3]:
third = 1
elif m <= 0 and n % 4 in [0, 1]:
third = 1
j = first + second + third
return j
def _osa_to_noll(self, idx):
return self._mn_to_noll(*self._osa_to_mn(idx))
def _osa_to_noll_list(self, zernikes):
indexed_zerns = sorted(map(lambda x: (self._osa_to_noll(x[0]), x[1]), enumerate(zernikes)), key=lambda x: x[0])
used_indeces = [x for x, _ in indexed_zerns]
mn, mx = min(used_indeces), max(used_indeces)
missing_indeces = set(range(mn, mx+1)) - set(used_indeces)
return [x[1] for x in list(sorted(indexed_zerns + [(x, 0) for x in missing_indeces]))]
term = ["PISTON","V-TILT","H-TILT","DEFOCUS","O-PR-ASTIGMATISM","V-PR-ASTIGMATISM","V-PR-COMA","H-PR-COMA","V-TREFOIL","O-TREFOIL","P-SPHERICAL","O-SC-ASTIGMATISM","V-SC-ASTIGMATISM","V-QUADRAFOIL","O-QUADRAFOIL","V-SC-COMA","H-SC-COMA","V-SC-TREFOIL","O-SC-TREFOIL","O-PENTAFOIL","V-PENTAFOIL"]
print(Zernike()._osa_to_noll_list(list(range(0,15)))) |