Galaxy Image Deconvolution
Contents
Note
Click here to download the full example code or to run this example in your browser via Binder
Galaxy Image Deconvolution#
Code author: Samuel Farrens <samuel.farrens@cea.fr>
In this tutorial we will deconvolve the PSF effects from an example galaxy image using the PySAP-Astro plug-in.
Import dependencies#
Import functions from PySAP and ModOpt.
import numpy as np
import matplotlib.pyplot as plt
from pysap.data import get_sample_data
from astro.deconvolution.deconvolve import sparse_deconv_condatvu
from modopt.signal.noise import add_noise
from modopt.math.convolve import convolve
Load astro data#
First, we load some example images from the PySAP sample data sets.
galaxy = get_sample_data('astro-galaxy')
psf = get_sample_data('astro-psf')
Then we can show the clean galaxy image that we will attempt to recover.
Out:
/volatile/Chaithya/actions-runner/_work/pysap/pysap/examples/pysap-astro/plot_galaxy_deconvolution.py:38: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
plt.show()
Generate a noisy observation#
To simulate an observation we convolve the image with a point spread function
(PSF) using the ModOpt convolve
function. Then we add random Gaussian noise with standard deviation
0.0005 using the ModOpt
add_noise function.
obs_data = add_noise(convolve(galaxy.data, psf.data), sigma=0.0005)
Now we can show the noisy and blurred galaxy image.
Out:
/volatile/Chaithya/actions-runner/_work/pysap/pysap/examples/pysap-astro/plot_galaxy_deconvolution.py:56: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
plt.show()
Deconvolve#
We will use the sparse_deconv_condatvu function from
PySAP-Astro to deconvolve the noisy image. We set the maximum number of
iterations for this function to 3000.
deconv_data = sparse_deconv_condatvu(obs_data, psf.data, n_iter=3000)
Out:
WARNING: Making input data immutable.
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We can show the deconvolved galaxy image.
Out:
/volatile/Chaithya/actions-runner/_work/pysap/pysap/examples/pysap-astro/plot_galaxy_deconvolution.py:73: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
plt.show()
Residual#
Next, we calculate the residual of our deconvolved image to get a measure of how well the deconvolution process performed.
Finally, we can show the residual.
Out:
/volatile/Chaithya/actions-runner/_work/pysap/pysap/examples/pysap-astro/plot_galaxy_deconvolution.py:88: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown
plt.show()
Tip
Typically for a denoising problem we are aiming for a residual without any structure, i.e. just noise.
Total running time of the script: ( 0 minutes 28.996 seconds)
