Created
October 5, 2022 18:18
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Uma solução para circular pontos em uma imagem
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "dfa32262", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"import trackpy as tp\n", | |
"import numpy as np" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "75cb718c", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 1080x1080 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Criando N pares de coordenadas x-y com tamanhos entre 5 e 15\n", | |
"# e plotando em um scatter plot\n", | |
"N = 100\n", | |
"S = 1000\n", | |
"sample_x = np.random.normal(size=(N))\n", | |
"sample_y = np.random.normal(size=(N))\n", | |
"sample_z = np.random.random_sample(size=(N)) * S\n", | |
"\n", | |
"fig, ax = plt.subplots(figsize=(15,15))\n", | |
"image = ax.scatter(sample_x, sample_y, s=sample_z)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "72d3b424", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"(846, 873)\n" | |
] | |
} | |
], | |
"source": [ | |
"# This will convert the figure to a numpy array with 3 channels + alpha\n", | |
"# Then, we transpose the array from (846, 873, 4) to (4, 873, 846), get only\n", | |
"# one channel and retranspose to the original shape\n", | |
"image_data = np.asarray(fig.canvas.buffer_rgba())\n", | |
"image_data = image_data.transpose()\n", | |
"image_data = image_data[0]\n", | |
"image_data = image_data.transpose()\n", | |
"print(image_data.shape)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "335ab6e5", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x7fa78b5d8370>" | |
] | |
}, | |
"execution_count": 4, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.imshow(image_data)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "bcaa8ff8", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"51\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
" vertical-align: top;\n", | |
" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>y</th>\n", | |
" <th>x</th>\n", | |
" <th>mass</th>\n", | |
" <th>size</th>\n", | |
" <th>ecc</th>\n", | |
" <th>signal</th>\n", | |
" <th>raw_mass</th>\n", | |
" <th>ep</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>0</th>\n", | |
" <td>29.297301</td>\n", | |
" <td>609.545779</td>\n", | |
" <td>22187.903898</td>\n", | |
" <td>10.723195</td>\n", | |
" <td>0.393488</td>\n", | |
" <td>67.553276</td>\n", | |
" <td>184173.0</td>\n", | |
" <td>-0.0</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1</th>\n", | |
" <td>111.991778</td>\n", | |
" <td>421.534462</td>\n", | |
" <td>20132.093393</td>\n", | |
" <td>10.598442</td>\n", | |
" <td>0.424744</td>\n", | |
" <td>63.293159</td>\n", | |
" <td>180284.0</td>\n", | |
" <td>-0.0</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2</th>\n", | |
" <td>116.172687</td>\n", | |
" <td>324.569576</td>\n", | |
" <td>19527.765439</td>\n", | |
" <td>10.741766</td>\n", | |
" <td>0.382556</td>\n", | |
" <td>60.250219</td>\n", | |
" <td>183411.0</td>\n", | |
" <td>-0.0</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>3</th>\n", | |
" <td>138.490734</td>\n", | |
" <td>447.955729</td>\n", | |
" <td>20098.012461</td>\n", | |
" <td>10.593975</td>\n", | |
" <td>0.423163</td>\n", | |
" <td>63.293159</td>\n", | |
" <td>180360.0</td>\n", | |
" <td>-0.0</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>4</th>\n", | |
" <td>148.694910</td>\n", | |
" <td>268.272776</td>\n", | |
" <td>23767.798530</td>\n", | |
" <td>10.738816</td>\n", | |
" <td>0.424582</td>\n", | |
" <td>68.161864</td>\n", | |
" <td>173349.0</td>\n", | |
" <td>-0.0</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" y x mass size ecc signal \\\n", | |
"0 29.297301 609.545779 22187.903898 10.723195 0.393488 67.553276 \n", | |
"1 111.991778 421.534462 20132.093393 10.598442 0.424744 63.293159 \n", | |
"2 116.172687 324.569576 19527.765439 10.741766 0.382556 60.250219 \n", | |
"3 138.490734 447.955729 20098.012461 10.593975 0.423163 63.293159 \n", | |
"4 148.694910 268.272776 23767.798530 10.738816 0.424582 68.161864 \n", | |
"\n", | |
" raw_mass ep \n", | |
"0 184173.0 -0.0 \n", | |
"1 180284.0 -0.0 \n", | |
"2 183411.0 -0.0 \n", | |
"3 180360.0 -0.0 \n", | |
"4 173349.0 -0.0 " | |
] | |
}, | |
"execution_count": 5, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"points = tp.locate(image_data, diameter=35)\n", | |
"print(len(points))\n", | |
"points.head()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "01d6f888", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"<AxesSubplot: >" | |
] | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"tp.annotate(points, image_data)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "bc34e258", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"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": "3.10.5" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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