{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "[Python para Desenvolvedores](http://ricardoduarte.github.io/python-para-desenvolvedores/#conteudo)\n", "===================================\n", "2ª edi\u00e7\u00e3o, revisada e ampliada\n", "-----------------------------------\n", "\n", "Cap\u00edtulo 35: Processamento de Imagem\n", "=============================\n", "_____________________________\n", "[Python Imaging Library](http://www.pythonware.com/products/pil/) (PIL) \u00e9 uma biblioteca de processamento de imagens matriciais para Python.\n", "\n", "PIL possui m\u00f3dulos que implementam:\n", "\n", "+ Ferramentas para cortar, redimensionar e mesclar imagens.\n", "+ Algoritmos de convers\u00e3o, que suportam diversos formatos.\n", "+ Filtros, tais como suavizar, borrar e detectar bordas.\n", "+ Ajustes, incluindo brilho e contraste.\n", "+ Opera\u00e7\u00f5es com paletas de cores.\n", "+ Desenhos simples em 2D.\n", "+ Rotinas para tratamento de imagens: equaliza\u00e7\u00e3o, auto-contraste, deformar, inverter e outras.\n", "\n", "Exemplo de tratamento de imagem:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\"\"\"\n", "Cria miniaturas suavizadas para cada\n", "JPEG na pasta corrente\n", "\"\"\"\n", "\n", "import glob\n", "\n", "# M\u00f3dulo principal do PIL\n", "from PIL import Image\n", "\n", "# M\u00f3dulo de filtros\n", "from PIL import ImageFilter\n", "\n", "# Para cada arquivo JPEG\n", "for fn in glob.glob(\"*.jpg\"):\n", "\n", " # Retorna o nome do arquivo sem extens\u00e3o\n", " f = glob.os.path.splitext(fn)[0]\n", "\n", " print 'Processando:', fn\n", " imagem = Image.open(fn)\n", "\n", " # Cria thumbnail (miniatura) da imagem\n", " # de tamanho 256x256 usando antialiasing\n", " imagem.thumbnail((256, 256), Image.ANTIALIAS)\n", "\n", " # Filtro suaviza a imagem\n", " imagem = imagem.filter(ImageFilter.SMOOTH)\n", "\n", " # Salva como arquivo PNG\n", " imagem.save(f + '.png', 'PNG')" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Exemplo de desenho:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\"\"\"\n", "Cria uma imagem com v\u00e1rios gradientes de cores\n", "\"\"\"\n", "\n", "from PIL import Image\n", "\n", "# M\u00f3dulo de desenho\n", "from PIL import ImageDraw\n", "\n", "# Largura e altura\n", "l, a = 512, 512\n", "\n", "# Cria uma imagem nova com fundo branco\n", "imagem = Image.new('RGBA', (l, a), 'white')\n", "\n", "# O objeto desenho age sobre o objeto imagem\n", "desenho = ImageDraw.Draw(imagem)\n", "\n", "# Calcula a largura da faixa de cor\n", "faixa = l / 256\n", "\n", "# Desenha um gradiente de cor\n", "for i in xrange(0, l):\n", "\n", " # Calcula a cor da linha\n", " rgb = (0.25 * i / faixa, 0.5 * i / faixa, i / faixa)\n", " cor = '#%02x%02x%02x' % rgb\n", "\n", " # Desenha uma linha colorida\n", " # Primeiro argumento \u00e9 uma tupla com\n", " # as coordenadas de inicio e fim da linha\n", " desenho.line((0, i, l, i), fill=cor)\n", "\n", "# Copia e cola recortes invertidos do gradiente\n", "for i in xrange(l, l / 2, -l / 10):\n", "\n", " # Tamanho do recorte\n", " area = (l - i, a - i, i, i)\n", " # Copia e inverte\n", " flip = Image.FLIP_TOP_BOTTOM\n", " recorte = imagem.crop(area).transpose(flip)\n", "\n", " # Cola de volta na imagem original\n", " imagem.paste(recorte, area)\n", "\n", "# Salva como arquivo PNG\n", "imagem.save('desenho.png', 'PNG')\n", "\n", "# Para exibir o gr\u00e1fico no IPython Notebook\n", "from IPython.display import Image as Img\n", "img = Img(filename='desenho.png')\n", "img" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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"prompt_number": 1, "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "\u00c9 poss\u00edvel calcular os dados da imagem com o NumPy e usar o PIL para gerar a imagem real.\n", "\n", "Exemplo com modula\u00e7\u00e3o de amplitude de onda:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\"\"\"\n", "Criando uma imagem usando NumPy\n", "\"\"\"\n", "\n", "import numpy\n", "from PIL import Image\n", "\n", "def coords(xy, tam):\n", " \"\"\"\n", " coords(xy, tam) => x, y\n", " Transforma as coordenadas normalizadas\n", " para o centro da imagem de tamanho \"tam\"\n", " \"\"\"\n", " X, Y = tam\n", "\n", " x = int((1. + xy[0]) * (X - 1.) / 2.)\n", " y = int((1. + xy[1]) * (Y - 1.) / 2.)\n", " return x, y\n", "\n", "if __name__ == '__main__':\n", "\n", " # Dimens\u00f5es\n", " tam = 900, 600\n", "\n", " # Cria um arranjo apenas com zeros\n", " # com as dimens\u00f5es transpostas\n", " # \"tam[::-1]\" \u00e9 o reverso de \"tam\" e \n", " # \"(3,)\" \u00e9 uma tupla para representar \"(R, G, B)\"\n", " imag = numpy.zeros(tam[::-1] + (3,), numpy.uint8)\n", "\n", " # Preenche de branco\n", " imag.fill(255)\n", "\n", " # Dados do eixo X\n", " xs = numpy.arange(-1., 1., 0.00005)\n", "\n", " # Onda moduladora\n", " # Valor m\u00e9dio, amplitude e freq\u00fc\u00eancia\n", " vmed = 0.6\n", " amp = 0.4\n", " fm = 2.\n", " mod = vmed + amp * numpy.cos(fm * numpy.pi * xs)\n", "\n", " # Frequ\u00eancia da portadora\n", " fc = 8.\n", " # N\u00famero de curvas internas\n", " ci = 32.\n", " # Contador\n", " i = 0\n", "\n", " # Gera um conjunto de curvas\n", " for delta_y in numpy.arange(1. / ci, 1. + 1. / ci,\n", " 1. / ci):\n", "\n", " # Dados do eixo Y\n", " ys = mod * delta_y * numpy.sin(fc * numpy.pi * xs)\n", "\n", " # Pares x, y\n", " xys = zip(xs, ys)\n", "\n", " # Desenha a portadora e as curvas internas\n", " # Para cada ponto na lista\n", " for xy in xys:\n", "\n", " # Coordenadas invertidas\n", " x, y = coords(xy, tam)[::-1]\n", "\n", " # Aplica cor a xy\n", " imag[x, y] = (250 - 100 * delta_y,\n", " 150 - 100 * delta_y,\n", " 50 + 100 * delta_y)\n", " i += 1\n", "\n", " for x, y in zip(xs, mod):\n", " # Desenha as envolt\u00f3rias\n", " imag[coords((x, y), tam)[::-1]] = (0, 0, 0)\n", " imag[coords((x, -y), tam)[::-1]] = (0, 0, 0)\n", "\n", " # Bordas superior e inferior\n", " imag[coords((x, 1.), tam)[::-1]] = (0, 0, 0)\n", " imag[coords((x, -1.), tam)[::-1]] = (0, 0, 0)\n", " i += 4\n", "\n", " for y in xs:\n", "\n", " # Bordas laterais\n", " imag[coords((1., y), tam)[::-1]] = (0, 0, 0)\n", " imag[coords((-1., y), tam)[::-1]] = (0, 0, 0)\n", " i += 2\n", "\n", " print i, 'pontos calculados'\n", "\n", " # Cria a imagem a partir do arranjo\n", " imagem = Image.fromarray(imag, 'RGB')\n", " imagem.save('curvas.png', 'PNG')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "1520000 pontos calculados\n" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "# Para exibir o gr\u00e1fico no IPython Notebook\n", "from IPython.display import Image as Img\n", "img = Img(filename='curvas.png')\n", "img" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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xasEDn5ZGKcKkM4IzqWOe6DONirJMu/YYw1KdQKcPNBeP31xzn8SXWp9Nz+hz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XDlIKFQZNHEBS2FUjyyVP9rZhz9tODGhVnjw6FfVdS1ypymUGRRodBz9r9i/TzVCXxhpdAGYsqP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\n5AYiGFziTKfC+FPgft6REabs9xU9IoWKPO3PBNCGs+kDaQoxW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"prompt_number": 4, "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observa\u00e7\u00f5es:\n", "\n", "+ A biblioteca trabalha com o conceito de bandas, que s\u00e3o camadas que comp\u00f5em a imagem. Cada imagem pode ter v\u00e1rias bandas, mas todas devem ter as mesmas dimens\u00f5es e profundidade.\n", "+ A origem do sistema de coordenadas \u00e9 no canto superior esquerdo.\n", "\n", "Al\u00e9m do PIL, tamb\u00e9m \u00e9 poss\u00edvel usar o [ImageMagick](http://www.imagemagick.org/) com Python. Com uma proposta diferente, ImageMagick \u00e9 um conjunto de utilit\u00e1rios para processar imagens *raster*, feito basicamente para uso atrav\u00e9s de linha de comando ou atrav\u00e9s de linguagens de programa\u00e7\u00e3o." ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "" ], "output_type": "pyout", "prompt_number": 1, "text": [ "" ] } ], "prompt_number": 1 } ], "metadata": {} } ] }