Created
April 11, 2019 14:16
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comb comparison
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import abel | |
from abel.tools.analytical import PiecewisePolynomial | |
from itertools import chain | |
import matplotlib.pyplot as plt | |
import numpy as np | |
hw = 1 # peak half-width | |
step = 10 # center-to-center distance between peaks | |
n = 10 # number of peaks | |
rmax = int(n * step) | |
def peak(i): | |
c = i * step | |
if i: | |
return [(c - hw, c, [1, 1], c, hw), | |
(c, c + hw, [1, -1], c, hw)] | |
else: | |
return [(c, c + hw, [1, -1], c, hw)] | |
comb = PiecewisePolynomial(rmax + 1, rmax, | |
chain(*[peak(i) for i in range(1, n)]), | |
symmetric=False) | |
np.random.seed(0) | |
func = comb.abel + np.random.random(comb.abel.size)*1 | |
transforms = [ | |
("basex" , abel.basex.basex_transform , '#880000'), | |
("direct" , abel.direct.direct_transform , '#EE0000'), | |
("hansenlaw" , abel.hansenlaw.hansenlaw_transform , '#CCAA00'), | |
("onion_bordas" , abel.onion_bordas.onion_bordas_transform, '#00AA00'), | |
("onion_peeling", abel.dasch.onion_peeling_transform , '#00CCFF'), | |
("three_point" , abel.dasch.three_point_transform , '#0000FF'), | |
("two_point" , abel.dasch.two_point_transform , '#CC00FF'), | |
# ("linbasex" , abel.linbasex.linbasex_transform , '#BBBBBB'), | |
] | |
ntrans = len(transforms) # number of transforms | |
fig, axs = plt.subplots(ntrans, 1, figsize=(3.37,7.3), sharex=True, sharey=True) | |
for num, (ax, (label, transFunc, color)) in enumerate(zip(axs.ravel(), transforms)): | |
print(label) | |
ax.plot(comb.r, comb.func, lw=1, label='actual'.format(hw)) | |
recd = transFunc(func) | |
ax.plot(comb.r, recd, lw=1, label=label) | |
for ax in axs: | |
ax.legend(fontsize=8, loc='upper right') | |
ax.set_xlim(0,40) | |
axs[-1].set_xlabel('r (pixel)') | |
fig.tight_layout(pad=0) | |
plt.savefig('comb.png', dpi=300) | |
plt.show() | |
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