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@sergiogarciadev
Last active April 18, 2017 01:16
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Exemplo de conversão para Escalas de Cinza e P&B"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Nossos imports!\n",
"import numpy as np\n",
"from scipy import ndimage, misc\n",
"\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Função basica que exibe a imagem\n",
"def show(im, title=None):\n",
" plt.imshow(im, cmap='gray')\n",
" if title is not None:\n",
" plt.title(title)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"im = ndimage.imread('justice.jpg');"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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tdIq4qGUGyRNrWkmGfDfb6MqsxEoFXfkEUcjAwACzZs3ikccf48Uv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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9a67755908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"show(im, 'Imagem Original')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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VeDxOKBRKewbd12IUtJInk0mi0aj1Qjr7q/MOcq6mcjU1KBNe+lWPBQwWzx1u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EG8mBH3FoMwUmYBhf2MMasYk8TlYoCStUdERCiH2Ww288Ybb/DDH/6QJ598kkAgQElJCbm5ucyZ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\nv1b6S4+sdQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9a67a19550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Conversão para escalas de cinza\n",
"# Os valores (0.299, 0.587, 0.114) são o peso de cada pixel (R G B) na conversão\n",
"# para escalas de cinza\n",
"\n",
"# Mais informações: https://en.wikipedia.org/wiki/PAL\n",
"\n",
"im_gray = np.dot(im[...,:3], [0.299, 0.587, 0.114]).astype(np.uint8)\n",
"show(im_gray, 'Escalas de Cinza')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ffpvoQ9FsxSKysfG65X1mjDYGacGbTHCqcmfapBdN1Go7LO9jBMOntpQRpMCb0ORmyNuv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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9aa077b278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"im_threshold = np.where(im_gray > 110, 1, 0).astype(bool)\n",
"\n",
"# Note que aqui aplicamos um conversão para escalas de cinza, com valores 0 e 255 em vez\n",
"# de 0 e 1 para que a imagem possa ser exibida no matplotlib\n",
"\n",
"show(im_threshold.astype(np.uint8) * 255, 'Preto e Branco')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"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": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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