Created
July 5, 2024 16:22
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A demo of transforming an xarray DataArray using interp
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 74, | |
"id": "0b099205-b3ac-4ede-83fe-c90c342a4b5c", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import xarray as xr\n", | |
"import pandas as pd\n", | |
"import matplotlib.pyplot as plt" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 75, | |
"id": "3d5dc973-ca3c-4ec9-8a05-6127bb5a5e2f", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x711c8e63e7d0>" | |
] | |
}, | |
"execution_count": 75, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"range=np.arange(64)\n", | |
"xv, yv = np.meshgrid(range, range, indexing='ij')\n", | |
"da = xr.DataArray(np.sin(xv / 4) + np.sin(yv / 8), dims=['y', 'x'], coords=[range-32, range-32]) # center the coordinates at zero\n", | |
"plt.imshow(da)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 79, | |
"id": "d7d33e88-b21f-402b-9ba0-336027a37614", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x711c8cbd6620>" | |
] | |
}, | |
"execution_count": 79, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"def rotateCoordinates(x, y, tht=np.pi/4):\n", | |
" R = np.array( [[np.cos(tht), -np.sin(tht)], [np.sin(tht), np.cos(tht)]])\n", | |
" p = R @ np.array( [xv.flatten(), yv.flatten()])\n", | |
" return p[0].reshape(xv.shape), p[1].reshape(yv.shape)\n", | |
"\n", | |
"# upsample by a factor of 4 and rotate\n", | |
"high_res_range = np.arange(-32, 32, 0.25)\n", | |
"xv, yv = np.meshgrid(high_res_range, high_res_range)\n", | |
"xr, yr = rotateCoordinates(xv, yv)\n", | |
"\n", | |
"rotated = da.interp( method='linear',\n", | |
" coords=dict(\n", | |
" y=(['y','x'], yr),\n", | |
" x=(['y','x'], xr)\n", | |
" ))\n", | |
"\n", | |
"plt.imshow(rotated)" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3 (ipykernel)", | |
"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": "3.10.13" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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