Created
April 27, 2021 08:29
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Healpy alpha channel example
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import healpy as hp" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/scratch/miniconda3.7/envs/py37/lib/python3.7/site-packages/healpy/projaxes.py:221: MatplotlibDeprecationWarning: Passing parameters norm and vmin/vmax simultaneously is deprecated since 3.3 and will become an error two minor releases later. Please pass vmin/vmax directly to the norm when creating it.\n", | |
" **kwds\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 612x388.8 with 2 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"NSIDE = 32\n", | |
"NPIX = hp.nside2npix(NSIDE)\n", | |
"\n", | |
"m = np.arange(NPIX)\n", | |
"alpha = np.ones(NPIX)\n", | |
"\n", | |
"vec = hp.ang2vec(np.pi / 2, np.pi / 4)\n", | |
"ipix_disc = hp.query_disc(nside=NSIDE, vec=vec, radius=np.radians(30))\n", | |
"alpha[ipix_disc] = 0.0\n", | |
"\n", | |
"alpha = hp.sphtfunc.smoothing(alpha, sigma=0.2, verbose=False)\n", | |
"\n", | |
"hp.mollview(m, alpha=alpha)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.7.6" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 4 | |
} |
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