diff --git a/.ipynb_checkpoints/Entrega-checkpoint.ipynb b/.ipynb_checkpoints/Entrega-checkpoint.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..4b90f02f310a9d60496f52c74740237ee4b78e0b --- /dev/null +++ b/.ipynb_checkpoints/Entrega-checkpoint.ipynb @@ -0,0 +1,1219 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'\\n@author: Jennifer Grisales Casadiegos\\nTarea Clase 5: Array, imágenes, ajustes, Numpy y Scipy\\n\\n'" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#!/usr/bin/env python3\n", + "# -*- coding: utf-8 -*-\n", + "\"\"\"\n", + "@author: Jennifer Grisales Casadiegos\n", + "Tarea Clase 5: Array, imágenes, ajustes, Numpy y Scipy\n", + "\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Resolución espacial a partir de una imagen del cielo estrellado." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "El objetivo de esta tarea es medir de forma aproximada la resolución espacial en una noche de observación en Zapatoca, Santander (Colombia), a partir\n", + "de una foto del cielo estrellado.\n", + "\n", + "### Paso 1\n", + "\n", + "Para esto, debemos leer la imagen. Hay muchas formas de hacer esto con la ayuda de bilbiotecas pre-existentes. Vamos a ver dos formas de hacerlo:\n", + "\n", + "Forma 1: Pillow es una biblioteca para el procesamiento de imágenes en python.\n", + "\n", + "Forma 2: Numpy es una biblioteca matemática que permite trabajar con vectores y matrices.\n", + "\n", + "Pero antes de usarlas debemos importar estas y otras bibliotecas que usaremos:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Installed Pillow Version: 8.1.0\n" + ] + } + ], + "source": [ + "import PIL \n", + "import numpy as np\n", + "from PIL import Image \n", + "from numpy import asarray \n", + "import scipy\n", + "import matplotlib.pyplot as plt\n", + "from scipy import ndimage\n", + "import imageio\n", + "from scipy import misc\n", + "from scipy import asarray as ar,exp\n", + "\n", + "print('Installed Pillow Version:', PIL.__version__)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "#import cv2\n", + "import matplotlib.image as mpimg" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import pylab as plb\n", + "import matplotlib.pyplot as plt\n", + "from scipy.optimize import curve_fit\n", + "from scipy import asarray as ar,exp" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from scipy.stats import norm\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy import asarray as ar, exp, sqrt\n", + "from scipy.optimize import curve_fit" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Forma 1: Pillow\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "JPEG\n", + "(1184, 789)\n", + "RGB\n" + ] + } + ], + "source": [ + "image = Image.open('data/data_zapatocaImage.jpeg') \n", + "# un resumen de detalles de la imagen. \n", + "print(image.format) \n", + "print(image.size) \n", + "print(image.mode)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "¿Qué tipo de objeto es image? Veamos:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "PIL.JpegImagePlugin.JpegImageFile" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(image)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Para interactuar matemáticamente con el objeto 'image', debemos trasformarlo a un array de numpy..." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(789, 1184, 3)\n" + ] + } + ], + "source": [ + "im = np.array(Image.open('data/data_zapatocaImage.jpeg'))\n", + "print(im.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "numpy.ndarray" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(im)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Tenemos a \"image\" e \"im\" apuntando a la imagen 'data/zapatocaImage.jpeg' pero corresponden a objetos de naturaleza diferente. Podemos ahorrarnos este paso si usamos directamente Numpy." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Forma 2: Numpy" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "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" + } + ], + "source": [ + "images_path = 'data/data_zapatocaImage.jpeg'\n", + "sky = mpimg.imread(images_path)\n", + "plt.imshow(sky) # Este método nos permite graficar arrays\n", + " #Como imágenes\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "El array 'sky' esta compuesto de 3 matrices, una tras otra, correspondiente a los canales R,G,B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ahora voy a combinar los 3 array para generar una versión blanco y negro de la imagen. Una forma intuitiva de hacerlo es tomar la media de los valores del pÃxel rojo, verde y azul de cada coordenada común en los 3 arrays y combinarla para ponderar la cantidad de luz que aporta cada banda de color.\n", + "\n", + "Idea: https://www.kdnuggets.com/2019/12/convert-rgb-image-grayscale.html" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "scrolled": false + }, + "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" + } + ], + "source": [ + "imgray = np.mean(sky, axis=2)\n", + "plt.imshow(imgray,cmap='gray')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "### FORMA 2: Con una función que convierta\n", + "### las matrices a mano\n", + "def rgb2gray(rgb):\n", + " r, g, b = rgb[:,:,0], rgb[:,:,1], rgb[:,:,2]\n", + " gray = 0.2989 * r + 0.5870 * g + 0.1140 * b\n", + " return gray\n", + "skyg = rgb2gray(sky)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "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" + } + ], + "source": [ + "plt.imshow(skyg,cmap='gray')\n", + "#plt.imshow(skyg)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Paso 2\n", + "\n", + "Voy a tomar un sector de la imagen que contenga solo una estrella. Con esta ajustaré un algoritmo que me permita hacer un fit de la información contenida en los pixeles, con una aproximación gaussiana.\n", + "\n", + "Vamos a cortar la imagen usando la herramienta Pillow. Seleccionaré la estrella Sirio que es la más brillante de las que aparecen en la imagen.\n", + "\n", + "https://note.nkmk.me/en/python-pillow-image-crop-trimming/\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "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" + } + ], + "source": [ + "skyg_crop = image.crop((645, 540, 680, 570))\n", + "plt.imshow(skyg_crop)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ahora, si promediamos las 3 matrices RGB podemos obtener una escala de grises:\n", + "\n", + "*Importante: Vamos a usar Pillow pero este resultado lo convertiremos en un array de Numpy para hacer el procesamiento. 'sky_crop' es un objeto de Pillow pero 'imgray' es un objeto de Numpy*" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "scrolled": false + }, + "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" + } + ], + "source": [ + "imgray = np.mean(skyg_crop, axis=2)\n", + "plt.imshow(imgray,cmap='gray')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "¿Qué contiene 'imgray'?\n", + "Este objeto es un array de 30 filas x 35 columnas como se observa acontinuación." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Size of 2D array: 30 x 35\n", + "Total number of elements: 1050\n" + ] + } + ], + "source": [ + "column_size = len(imgray[0])\n", + "row_size = len(imgray)\n", + "print(\"Size of 2D array: \", row_size, \"x\", column_size)\n", + "print(\"Total number of elements: \", row_size*column_size)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Fragmento del apartado adicional de la asignación:\n", + "#### Para quienes tengan dificultad en comprender el ajuste sobre la región 2D\n", + "\n", + "Pueden empezar resolviendo un problema más sencillo, de nuevo en 1 dimensión\n", + "asà como en el ejemplo de la clase. En este caso, después de recortar el cuadradito\n", + "de una estrella, vamos a tomar solo los pixeles de la lÃnea que pasa por la mitad\n", + "de la estrella, es decir tenemos un vector de valores de intensidad luminosa.\n", + "\n", + "La idea entonces es ajustar una función gaussiana común y corriente, agregando una\n", + "constante aditiva. Cuando dominen este problema (y escriban su solución para entregar)\n", + "pueden retomar el problema original a ver si lo entienden mejor.\n", + "La diferencia será\n", + "que ya no tendrán una función de una variable, si no de dos. Es decir:\n", + "\n", + "\n", + "En el problema\n", + "simplificado tenemos $y=y(x)$. 'x' es nuestra variable independiente y representa las\n", + "distintas posiciones a lo largo de la linea 1D, mientras 'y', que representa las\n", + "intensidades luminosas en cada posición, es nuestra variable dependiente, los datos\n", + "a los cuales deseamos ajustar el modelo.\n", + "\n", + "Teniendo en cuenta esta recomendación, voy primero a extraer un hilo del array, y ajustar una gaussiana a este hilo. Lo cual será la versión 1D de mi problema:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([118.66666667, 122.66666667, 126.66666667, 130.66666667,\n", + " 139.66666667, 147. , 163.66666667, 183. ,\n", + " 203.33333333, 228.33333333, 248.66666667, 252. ,\n", + " 252.66666667, 253.66666667, 254.33333333, 252.33333333,\n", + " 241.66666667, 216. , 188.66666667, 177.33333333,\n", + " 157.33333333, 147.66666667, 138.66666667, 132. ,\n", + " 126.66666667, 121.33333333, 120. , 121. ,\n", + " 121.66666667, 120.66666667])" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "hilo = imgray[:,16]\n", + "hilo" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "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" + } + ], + "source": [ + "plt.plot(hilo, 'o')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "*A considerar:* En estadÃstica y probabilidad, la distribución normal, también llamada distribución de Gauss (en honor a Carl F. Gauss), distribución gaussiana o distribución de Laplace-Gauss, refleja cómo se distribuyen los datos en una población.\n", + "\n", + "Antes del fit, normalizaré los datos dividiendo el array en el valor máximo." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "254.33333333333334" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "max_ = max(hilo)\n", + "hilo = hilo /max_\n", + "max_" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "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" + } + ], + "source": [ + "plt.plot(hilo, 'o')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### FORMA 1 tomado de: https://stackoverflow.com/questions/19206332/gaussian-fit-for-python\n" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:6: DeprecationWarning: scipy.asarray is deprecated and will be removed in SciPy 2.0.0, use numpy.asarray instead\n", + " \n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:7: DeprecationWarning: scipy.asarray is deprecated and will be removed in SciPy 2.0.0, use numpy.asarray instead\n", + " import sys\n" + ] + } + ], + "source": [ + "import pylab as plb\n", + "import matplotlib.pyplot as plt\n", + "from scipy.optimize import curve_fit\n", + "from scipy import asarray as ar,exp\n", + "\n", + "x = ar(range(10))\n", + "y = ar([0,1,2,3,4,5,4,3,2,1])" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:6: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " \n" + ] + } + ], + "source": [ + "n = len(x) #the number of data\n", + "mean = sum(x*y)/n #note this correction\n", + "sigma = sum(y*(x-mean)**2)/n #note this correction\n", + "\n", + "def gaus(x,a,x0,sigma):\n", + " return a*exp(-(x-x0)**2/(2*sigma**2))\n", + "\n", + "popt,pcov = curve_fit(gaus,x,y,p0=[1,mean,sigma])" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:6: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " \n" + ] + }, + { + "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.plot(x,y,'b+:',label='data')\n", + "plt.plot(x,gaus(x,*popt),'ro:',label='fit')\n", + "plt.legend()\n", + "plt.title('Fig. 3 - Fit for Time Constant')\n", + "plt.xlabel('Time (s)')\n", + "plt.ylabel('Voltage (V)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Paso 3\n", + "### Ahora, para un array 2Dimensional" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La gaussiana en 2d se caracteriza por tener dos medias y dos desviaciones, una en el eje x y otra en y. Puede ser simétrica o asimétrica.\n", + "\n", + "Entonces para obtener los parametros de entrada del ajuste 2D, necesitamos sacar unas gaussianas caracterÃsticas que se van a obtener a partir del perfil central de la foto de la estrella. Tanto para el eje x como para el y." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Para el eje x" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "254.66666666666666" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y1 = imgray[13,:]\n", + "max_ = max(y1)\n", + "y1 = y1 /max_\n", + "max_" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:3: DeprecationWarning: scipy.asarray is deprecated and will be removed in SciPy 2.0.0, use numpy.asarray instead\n", + " This is separate from the ipykernel package so we can avoid doing imports until\n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:7: DeprecationWarning: scipy.sqrt is deprecated and will be removed in SciPy 2.0.0, use numpy.lib.scimath.sqrt instead\n", + " import sys\n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:10: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " # Remove the CWD from sys.path while we load stuff.\n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:10: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " # Remove the CWD from sys.path while we load stuff.\n" + ] + }, + { + "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": [ + "#Matrix[indice_fila][indice_columna]\n", + "\n", + "x1 = ar(range(len(y1)))\n", + "\n", + "n = len(x1) \n", + "mean1 = sum(x1*y1)/n \n", + "sigma1 = sqrt(sum(y1*(x1-mean1)**2)/n)\n", + "\n", + "def gaus1(x1,a,x0,sigma1):\n", + " return a*exp(-(x1-x0)**2/(2*sigma1**2))\n", + "\n", + "popt1,pcov1 = curve_fit(gaus1,x1,y1,p0=[1,mean1,sigma1])\n", + "\n", + "plt.plot(x1,y1,'o',label='data')\n", + "plt.plot(x1,gaus1(x1,*popt1),label='fit')\n", + "plt.legend()\n", + "plt.title('Perfil de intensidad eje x')\n", + "plt.xlabel('Pixel en eje x')\n", + "plt.ylabel('Intensidad de la luz')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ 0.9149251 , 17.39730508, 11.59703748]),\n", + " array([[ 7.17451383e-04, -1.76325935e-04, -9.11596177e-03],\n", + " [-1.76325935e-04, 1.66143817e-01, 7.96544714e-03],\n", + " [-9.11596177e-03, 7.96544714e-03, 2.82216770e-01]]))" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "popt1,pcov1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Del vector popt, el primer valor es la amplitud del ajuste, el segundo la media y el tercer valor la desviación." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Para el eje y" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "254.66666666666666" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y2 = imgray[:,18]\n", + "max_ = max(y2)\n", + "y2 = y2 /max_\n", + "max_" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:3: DeprecationWarning: scipy.asarray is deprecated and will be removed in SciPy 2.0.0, use numpy.asarray instead\n", + " This is separate from the ipykernel package so we can avoid doing imports until\n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:8: DeprecationWarning: scipy.sqrt is deprecated and will be removed in SciPy 2.0.0, use numpy.lib.scimath.sqrt instead\n", + " \n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:11: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " # This is added back by InteractiveShellApp.init_path()\n", + "/home/grisalesj/.local/lib/python3.7/site-packages/scipy/optimize/minpack.py:829: OptimizeWarning: Covariance of the parameters could not be estimated\n", + " category=OptimizeWarning)\n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:11: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " # This is added back by InteractiveShellApp.init_path()\n" + ] + }, + { + "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": [ + "#Matrix[indice_fila][indice_columna]\n", + "\n", + "x2 = ar(range(len(y2)))\n", + "\n", + "n = len(x2) #the number of data\n", + "mean2 = sum(x2*y2)/n #note this correction\n", + "#sigma = 3 #note this correction\n", + "sigma2 = sqrt(sum(y2*(x2-mean2)**2)/n)\n", + "\n", + "def gaus2(x2,a,x0,sigma):\n", + " return a*exp(-(x2-x0)**2/(2*sigma2**2))\n", + "\n", + "popt2,pcov2 = curve_fit(gaus2,x2,y2,p0=[1,mean2,sigma2])\n", + "\n", + "plt.plot(x2,y2,'o',label='data')\n", + "plt.plot(x2,gaus2(x2,*popt2),label='fit')\n", + "plt.legend()\n", + "plt.title('Perfil de intensidad eje y')\n", + "plt.xlabel('Pixel en eje y')\n", + "plt.ylabel('Intensidad de la luz')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(11.394091249065072, 8.596154201544314, 9.73525305410122, 7.287598906964398)" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mean1, sigma1, mean2, sigma2" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<function __main__.gaus1(x1, a, x0, sigma1)>" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "amp_x = np.max(gaus1)\n", + "amp_x" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(17.39730507932934,\n", + " 0.9149250993732906,\n", + " 13.303923434958103,\n", + " 1.0793923307442566,\n", + " 11.597037476282354,\n", + " 7.287598906964398)" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mean_f1 = popt1[1]\n", + "amp_f1= popt1[0]\n", + "mean_f2 = popt2[1]\n", + "amp_f2= popt2[0]\n", + "std_f1 = popt1[2]\n", + "std_f2 = popt2[2]\n", + "\n", + "\n", + "mean_f1, amp_f1, mean_f2, amp_f2 , std_f1, std_f2" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9971587150587735" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ampt = (amp_f1 +amp_f2)/2\n", + "ampt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Ahora necesitamos generar dos curvas continuas con los datos ajustados... " + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:10: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " # Remove the CWD from sys.path while we load stuff.\n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:11: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " # This is added back by InteractiveShellApp.init_path()\n" + ] + } + ], + "source": [ + "x_fit = np.linspace(0,35,101)\n", + "zx_fit= gaus1(x_fit, *popt1)\n", + "\n", + "y_fit = np.linspace(0,30,101)\n", + "zy_fit=gaus2(y_fit, *popt2)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "## Ahora genero la grilla 2D\n", + "\n", + "x, y = np.meshgrid(x_fit, y_fit)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "def twoD_Gaussian(x, y, amplitude, xo, yo, sigma_x, sigma_y, theta, offset):\n", + " xo = float(xo)\n", + " yo = float(yo) \n", + " a = (np.cos(theta)**2)/(2*sigma_x**2) + (np.sin(theta)**2)/(2*sigma_y**2)\n", + " b = -(np.sin(2*theta))/(4*sigma_x**2) + (np.sin(2*theta))/(4*sigma_y**2)\n", + " c = (np.sin(theta)**2)/(2*sigma_x**2) + (np.cos(theta)**2)/(2*sigma_y**2)\n", + " g = offset + amplitude*np.exp( - (a*((x-xo)**2) + 2*b*(x-xo)*(y-yo)+ c*((y-yo)**2)))\n", + " return g.ravel()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.06115157, 0.06395469, 0.0668254 , ..., 0.024987 , 0.02390082,\n", + " 0.02284104])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "siriofit = twoD_Gaussian(x, y, ampt, mean_f1, mean_f2, std_f1, std_f2, 0, 0)\n", + "siriofit" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x360 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(6, 5))\n", + "plt.contourf(x, y, siriofit.reshape(101,101), 60, cmap = plt.cm.jet, zorder = 1) #,locator=ticker.LogLocator())\n", + "plt.xlabel('x [m]', fontsize = 15)\n", + "plt.ylabel('y [m]', fontsize = 15)\n", + "plt.axis([0,35,0,30])\n", + "# make a color bar\n", + "cbar = plt.colorbar()\n", + "cbar.set_label('Field strength [uV/m]', fontsize = 15)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x360 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(6, 5))\n", + "plt.contourf(x, y, siriofit.reshape(101,101), 60, cmap = plt.cm.gray, zorder = 1) #,locator=ticker.LogLocator())\n", + "plt.xlabel('x [m]', fontsize = 15)\n", + "plt.ylabel('y [m]', fontsize = 15)\n", + "plt.axis([0,35,0,30])\n", + "# make a color bar\n", + "cbar = plt.colorbar()\n", + "cbar.set_label('Field strength [uV/m]', fontsize = 15)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Paso 4\n", + "\n", + "Determinar alguna estadÃstica sobre las medidas de FWHM para gaussianas de distintas estrellas.\n", + "\n", + "FWHM es la abreviación de *Full width a half maximum* en español 'anchura a media altura' es una medida de la extensión espacial de una función. Corresponde a la diferencia entre valores más extremos de la variable independiente los cuales equivalen a la mitad del valor máximo.\n", + "\n", + "Para el caso de la distribución normal, la FWHM está dada por:\n", + "\n", + "$FWHM = 2\\sqrt(2ln2) *\\sigma$" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "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": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/.ipynb_checkpoints/Untitled-checkpoint.ipynb b/.ipynb_checkpoints/Untitled-checkpoint.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..7fec51502cbc3200b3d0ffc6bbba1fe85e197f3d --- /dev/null +++ b/.ipynb_checkpoints/Untitled-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Entrega.ipynb b/Entrega.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..4b90f02f310a9d60496f52c74740237ee4b78e0b --- /dev/null +++ b/Entrega.ipynb @@ -0,0 +1,1219 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'\\n@author: Jennifer Grisales Casadiegos\\nTarea Clase 5: Array, imágenes, ajustes, Numpy y Scipy\\n\\n'" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#!/usr/bin/env python3\n", + "# -*- coding: utf-8 -*-\n", + "\"\"\"\n", + "@author: Jennifer Grisales Casadiegos\n", + "Tarea Clase 5: Array, imágenes, ajustes, Numpy y Scipy\n", + "\n", + "\"\"\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Resolución espacial a partir de una imagen del cielo estrellado." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "El objetivo de esta tarea es medir de forma aproximada la resolución espacial en una noche de observación en Zapatoca, Santander (Colombia), a partir\n", + "de una foto del cielo estrellado.\n", + "\n", + "### Paso 1\n", + "\n", + "Para esto, debemos leer la imagen. Hay muchas formas de hacer esto con la ayuda de bilbiotecas pre-existentes. Vamos a ver dos formas de hacerlo:\n", + "\n", + "Forma 1: Pillow es una biblioteca para el procesamiento de imágenes en python.\n", + "\n", + "Forma 2: Numpy es una biblioteca matemática que permite trabajar con vectores y matrices.\n", + "\n", + "Pero antes de usarlas debemos importar estas y otras bibliotecas que usaremos:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Installed Pillow Version: 8.1.0\n" + ] + } + ], + "source": [ + "import PIL \n", + "import numpy as np\n", + "from PIL import Image \n", + "from numpy import asarray \n", + "import scipy\n", + "import matplotlib.pyplot as plt\n", + "from scipy import ndimage\n", + "import imageio\n", + "from scipy import misc\n", + "from scipy import asarray as ar,exp\n", + "\n", + "print('Installed Pillow Version:', PIL.__version__)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "#import cv2\n", + "import matplotlib.image as mpimg" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import pylab as plb\n", + "import matplotlib.pyplot as plt\n", + "from scipy.optimize import curve_fit\n", + "from scipy import asarray as ar,exp" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from scipy.stats import norm\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy import asarray as ar, exp, sqrt\n", + "from scipy.optimize import curve_fit" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Forma 1: Pillow\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "JPEG\n", + "(1184, 789)\n", + "RGB\n" + ] + } + ], + "source": [ + "image = Image.open('data/data_zapatocaImage.jpeg') \n", + "# un resumen de detalles de la imagen. \n", + "print(image.format) \n", + "print(image.size) \n", + "print(image.mode)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "¿Qué tipo de objeto es image? Veamos:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "PIL.JpegImagePlugin.JpegImageFile" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(image)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Para interactuar matemáticamente con el objeto 'image', debemos trasformarlo a un array de numpy..." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(789, 1184, 3)\n" + ] + } + ], + "source": [ + "im = np.array(Image.open('data/data_zapatocaImage.jpeg'))\n", + "print(im.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "numpy.ndarray" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(im)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Tenemos a \"image\" e \"im\" apuntando a la imagen 'data/zapatocaImage.jpeg' pero corresponden a objetos de naturaleza diferente. Podemos ahorrarnos este paso si usamos directamente Numpy." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Forma 2: Numpy" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "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" + } + ], + "source": [ + "images_path = 'data/data_zapatocaImage.jpeg'\n", + "sky = mpimg.imread(images_path)\n", + "plt.imshow(sky) # Este método nos permite graficar arrays\n", + " #Como imágenes\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "El array 'sky' esta compuesto de 3 matrices, una tras otra, correspondiente a los canales R,G,B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ahora voy a combinar los 3 array para generar una versión blanco y negro de la imagen. Una forma intuitiva de hacerlo es tomar la media de los valores del pÃxel rojo, verde y azul de cada coordenada común en los 3 arrays y combinarla para ponderar la cantidad de luz que aporta cada banda de color.\n", + "\n", + "Idea: https://www.kdnuggets.com/2019/12/convert-rgb-image-grayscale.html" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "scrolled": false + }, + "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" + } + ], + "source": [ + "imgray = np.mean(sky, axis=2)\n", + "plt.imshow(imgray,cmap='gray')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "### FORMA 2: Con una función que convierta\n", + "### las matrices a mano\n", + "def rgb2gray(rgb):\n", + " r, g, b = rgb[:,:,0], rgb[:,:,1], rgb[:,:,2]\n", + " gray = 0.2989 * r + 0.5870 * g + 0.1140 * b\n", + " return gray\n", + "skyg = rgb2gray(sky)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "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" + } + ], + "source": [ + "plt.imshow(skyg,cmap='gray')\n", + "#plt.imshow(skyg)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Paso 2\n", + "\n", + "Voy a tomar un sector de la imagen que contenga solo una estrella. Con esta ajustaré un algoritmo que me permita hacer un fit de la información contenida en los pixeles, con una aproximación gaussiana.\n", + "\n", + "Vamos a cortar la imagen usando la herramienta Pillow. Seleccionaré la estrella Sirio que es la más brillante de las que aparecen en la imagen.\n", + "\n", + "https://note.nkmk.me/en/python-pillow-image-crop-trimming/\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "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" + } + ], + "source": [ + "skyg_crop = image.crop((645, 540, 680, 570))\n", + "plt.imshow(skyg_crop)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ahora, si promediamos las 3 matrices RGB podemos obtener una escala de grises:\n", + "\n", + "*Importante: Vamos a usar Pillow pero este resultado lo convertiremos en un array de Numpy para hacer el procesamiento. 'sky_crop' es un objeto de Pillow pero 'imgray' es un objeto de Numpy*" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "scrolled": false + }, + "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" + } + ], + "source": [ + "imgray = np.mean(skyg_crop, axis=2)\n", + "plt.imshow(imgray,cmap='gray')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "¿Qué contiene 'imgray'?\n", + "Este objeto es un array de 30 filas x 35 columnas como se observa acontinuación." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Size of 2D array: 30 x 35\n", + "Total number of elements: 1050\n" + ] + } + ], + "source": [ + "column_size = len(imgray[0])\n", + "row_size = len(imgray)\n", + "print(\"Size of 2D array: \", row_size, \"x\", column_size)\n", + "print(\"Total number of elements: \", row_size*column_size)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Fragmento del apartado adicional de la asignación:\n", + "#### Para quienes tengan dificultad en comprender el ajuste sobre la región 2D\n", + "\n", + "Pueden empezar resolviendo un problema más sencillo, de nuevo en 1 dimensión\n", + "asà como en el ejemplo de la clase. En este caso, después de recortar el cuadradito\n", + "de una estrella, vamos a tomar solo los pixeles de la lÃnea que pasa por la mitad\n", + "de la estrella, es decir tenemos un vector de valores de intensidad luminosa.\n", + "\n", + "La idea entonces es ajustar una función gaussiana común y corriente, agregando una\n", + "constante aditiva. Cuando dominen este problema (y escriban su solución para entregar)\n", + "pueden retomar el problema original a ver si lo entienden mejor.\n", + "La diferencia será\n", + "que ya no tendrán una función de una variable, si no de dos. Es decir:\n", + "\n", + "\n", + "En el problema\n", + "simplificado tenemos $y=y(x)$. 'x' es nuestra variable independiente y representa las\n", + "distintas posiciones a lo largo de la linea 1D, mientras 'y', que representa las\n", + "intensidades luminosas en cada posición, es nuestra variable dependiente, los datos\n", + "a los cuales deseamos ajustar el modelo.\n", + "\n", + "Teniendo en cuenta esta recomendación, voy primero a extraer un hilo del array, y ajustar una gaussiana a este hilo. Lo cual será la versión 1D de mi problema:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([118.66666667, 122.66666667, 126.66666667, 130.66666667,\n", + " 139.66666667, 147. , 163.66666667, 183. ,\n", + " 203.33333333, 228.33333333, 248.66666667, 252. ,\n", + " 252.66666667, 253.66666667, 254.33333333, 252.33333333,\n", + " 241.66666667, 216. , 188.66666667, 177.33333333,\n", + " 157.33333333, 147.66666667, 138.66666667, 132. ,\n", + " 126.66666667, 121.33333333, 120. , 121. ,\n", + " 121.66666667, 120.66666667])" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "hilo = imgray[:,16]\n", + "hilo" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "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" + } + ], + "source": [ + "plt.plot(hilo, 'o')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "*A considerar:* En estadÃstica y probabilidad, la distribución normal, también llamada distribución de Gauss (en honor a Carl F. Gauss), distribución gaussiana o distribución de Laplace-Gauss, refleja cómo se distribuyen los datos en una población.\n", + "\n", + "Antes del fit, normalizaré los datos dividiendo el array en el valor máximo." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "254.33333333333334" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "max_ = max(hilo)\n", + "hilo = hilo /max_\n", + "max_" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "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" + } + ], + "source": [ + "plt.plot(hilo, 'o')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### FORMA 1 tomado de: https://stackoverflow.com/questions/19206332/gaussian-fit-for-python\n" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:6: DeprecationWarning: scipy.asarray is deprecated and will be removed in SciPy 2.0.0, use numpy.asarray instead\n", + " \n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:7: DeprecationWarning: scipy.asarray is deprecated and will be removed in SciPy 2.0.0, use numpy.asarray instead\n", + " import sys\n" + ] + } + ], + "source": [ + "import pylab as plb\n", + "import matplotlib.pyplot as plt\n", + "from scipy.optimize import curve_fit\n", + "from scipy import asarray as ar,exp\n", + "\n", + "x = ar(range(10))\n", + "y = ar([0,1,2,3,4,5,4,3,2,1])" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:6: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " \n" + ] + } + ], + "source": [ + "n = len(x) #the number of data\n", + "mean = sum(x*y)/n #note this correction\n", + "sigma = sum(y*(x-mean)**2)/n #note this correction\n", + "\n", + "def gaus(x,a,x0,sigma):\n", + " return a*exp(-(x-x0)**2/(2*sigma**2))\n", + "\n", + "popt,pcov = curve_fit(gaus,x,y,p0=[1,mean,sigma])" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:6: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " \n" + ] + }, + { + "data": { + "image/png": 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gLxfs3DatXQsX9s1jyZy/EIHU7gfB8cfbaJegHXkkzJ9PyknHc++98GjH4XD77VaA3rlyeIJ3rpT536zj9lf3pvDmLFvQsaNVFGvWLNC4NtljDxDh9NOh9Ypp8OmnzPsh1E1UzglTLrF5gndOFWbNAuCgwxqw8239ybj61ICDqoInn+TtS99mn33go9f/gL32Sug+m2jqbg6Hmrw+T/DODRtG0YGdefMBOwiWetO10KNHwEFVzVG963HHHdB9vz9teE3JiJ4//4T8/EBji6TU1FRWrVoVt0leVVm1ahWp5Z5lVzE/yOoS05w5Nhpmt90o/nU5Dx05jk/3uJDX30yO2anz8vPh99/t7Feuvhpee81qGpcdEhiHCgoKWLJkCevXrw86lLBJTU2ldevWpJSZfKCyg6x+opNLPHl50L27HTzNziap5a5cMbMf/Qpie17U00+383emT4eUU0+F1q03J/ePP7YHb73VShW3bWvjvuNkdpGUlBTatWsXdBhRxxO8i1/Z2TaxxuLF1qw97jgb75yWBq+8wvIWnbjtMrjvPmjQwM4timXXXWdj41NSsOmh/v53e+CXX+CII2zMfslooJKZpSBukrzbmvfBu/hUdqq8JUtgxAg7SxSgVy8mzdqZF1+En38ONtTa0rMnnHKK3V64sNTk3a1b2yigskM9K5hZysUPT/AuPpU3VR7Ao49uunnmmfDTT7DffhGMKwLmzIF994XHHgstELGKaeXZxsxSLrZ5gnfxqZKp8u680wo/AjRtGrmQIqVDB7j+ejjttFILSwpplVXRchcXPMG7+FRB4ipq1ZaRI+HllyMcTwSJ2LHUXXfd3DsVyQJbLnp4gnfxZ/36ChNanbuHkJNT/bLtsWrwYDjoIFhxVDkFti66CF5/3UsdxDFP8C6+rFtntdSXLt0ioW1skc4bxw9Hz8qkadPwFoGMJuecY0Pimzdn65mlOnaEFSvgr78CjtKFS9hPdBKROkAOsFRV+1S2rp/o5LZbfr5NmPHPf8LRRwOQlWWTVj/3nJVvj5ayMpGWmwuNG9uPm6ys0MLCQptVysWsyk50ikSCvwboAuzgCd6FVclMS2WIWKN1+XKbHCkR/fmnNdhPPNHKy2/xsc/Lg2uugQEDfKqoGBRYuWARaQ30Bp4K536cY+pU+Mc/rGsmpLh48zBvkcRN7gA77giXXw7nnVfOg7/9BmPGbDlNnYsL4e6DfxC4HqiwjqmI9BORHBHJya1orK5z27JyJaxevWm2paws62cfOtQeFrHLpq6JBJOVBTfcAF1C7bwt3o+2beH77+GSSwKM0IVD2LpoRKQPcLyqXi4iPYFrvYvGhVVxMSRt2Wb55RfLX1FUUy9wItCwIXz2mXXbbGH6dJvV+5xzAonNVV9QXTTdgRNFZCHwEnCEiLwQxv25RDRsGLz6qt0OJfcPPrDRfwBt2gQUV5S74IIKutvvvtsG0cdxVcZEErYEr6o3qmprVc0A+gIfqerZ4dqfS0CFhTBuHLz11haLH3gA7rhjc+mVW28NILYoduut8PDDdprAhg2wZk2pB598Er78cvPE4i6mRaQevHfRuLDZuNFO1Klff9Oi/Hzrjk/kg6pVUVxsI0nr1oV33ikzAEkVXnwR/vWvUHlKF60Cn3RbVT/eVnJ3rso2bLAmel6eZaf69cnLg9tus56F+vU9uVdFUhKcdZZ1t281unTyZDj7bEvyLmb5mawu9kycaMM/Pvlk06IJEyznT5kSXFix6MILraom2K+eTXr2tIMZ554bQFSutniCd7Hn+ONh7lw49thNi04+GebNs3ktXPXl5EC7dvD226UWHnWUNe1XroQffwwsNldznuBd7Jgzx2oNAOy5JwCjR8PMmbZo992DCSse7LOPfUluNWxS1b5Q//UvH2sag3zSbRc7jjzSZuj4/ntISWH9ektMnTptHhbptp+qjazZYYfQgs8+szkNO3UKNC5XPp9028WH0aNtIo/QqI7U1M25x9We666z7vcpU0LvbY8emx8smbDbxQTvonHR75tvrFnZvDl06cLKlTbzniq0bGl1Vlzt6dUL+vTZYuSpef116wfzI9kxwxO8i26zZ1t99//7v02Lhg+3Vma8TJYdbY45xkoKJyVZef1Njj7aKk4eeGBQoblq8gTvotu++1p924su2rRo8GD4+mvYbbcA40oAy5dbLn/kkdCCRo3grrvsFNiNG+3ioponeBedCgth1SobpnfppbDjjjz1lE1aIQL77Rd0gPGvWTOrwNy5c5kHNmyw8ajXXBNIXK7qPMG76JSVZc3H334D7Nhe//7w4INBBpVY6tSBp56Cbt3sfn5+6IF69eDww+GwwwKLzVWNj6Jx0enUUy3D7LwzYAM3vvoK9t474LgS1PPPw8032/HVli2x04ZLlFOm2UUH/6u46FJQYNedO8NttzFvHowfb4v239/rXgWlY0c49NBSY+NLvPMOdO1aps6Bixae4F30yM+3LFJqxMwtt8DFF1tdMRecAw6w0xAaNrTv4KKi0ANNmth4Sv8DRSXvonHRQ9VOTQ2VIQB45hlYuNAGbrjgbdwIvXvbQe7/+z+sg/7TT8ud7NwFz1vwLnqkpcFzz6HH92bECEsmDRrYSEkXHerWtWPfBxxQaqGI1Wnu18/Kerqo4QneBW/6dDt9ctkyAD7+2HLFK68EG5Yr37BhNuUflBoKX1RkR8GnTw8sLrc176JxwVu8GJYsgWT7dzz8cKsxUzI8z0WnL76Avn1txsQDDmhgCd6n+osq3oJ3wTvpJJg1iyk/NGPuXFvUvbt360a7tm1hr73sBFdgc3KfPdum13KB8wTvgvPQQ/DmmwAUJyXTr5/NMBRFFaxdJVq1si73du3sfskk57z6KjzxBKxYEVhszng9eBeMwkIrQ7vbbpvm/Vy0yLpyvcZM7BkwwEr1v/Ya1KHIykw0bx50WAkh8Em3ndtKcjJ8/DEbHhnByy9bqz093ZN7rEpPtwtgZyA3b25/1KeesmTvAuEJ3kVWQQHce68Nq0tNZXh2A/r2hWnTgg7MbY+SOkF16pQ6CWrBArjiCnj88SBDS2ie4F1kTZgAN9wAEycC9vn/8EPoUu4PTBdrfvnFZvZ7/31scpAvv4RBg4IOK2F5gneR1bs3zJrFhJTe/P671ag68sigg3K1pXFjaNrUCk4Clu2TkqybxmeCijhP8C4yvv8evvsOgD9a7cfpp9usTC6+NGoEH30EPXva/eLi0AOXXAKnnOI1ayLMT3RykXHZZTbM4vvvadIkhffe89K/8ark/IXnnrPpFSdMgLQHHoCVK72oUIR5C95FxvPP8+cTo/n4c6v3260b7LRTwDG5sNpxx83VJ8nIgIMPtgfuuceG3CQl2fLs7ACjjG+e4F3ty862D25Sks0OkZ0NLVty/Zi/0afPpkmaXJw76SR4911L9JtOt8nKgoEDrTyFqp380K+fJ/kw2eaJTiLSHOgOtATygdlAjqoWV/rEGvATneJAdrZ9YEv3taakwDPP8NcJmXz9NRx1VHDhucjLy4MzzrCEf/Ed6Zbcy0pPt7rQrtpqdKKTiBwuIu8D7wDHAS2AfYCbgFkicpuIlJ3fxSW6wYO3PpBWUIAOGswOO3hyT0R169p1YSE2jrI85SV9t90qO8h6PHCJqm71zotIMtAH6AW8Xt6TRSQV+ASoF9rPa6p663ZH7KJbRR9U/wAnrORkGDcudPD17rbWLVNW27YRjysRVNYHf395yR1AVQtVdayqlpvcQzYAR6hqR+BA4FgR+VvNQ3UxoaIPqn+AE1rJyJofLhhCflKZkTRpaTBkSOSDSgCVJfgZIvKhiFwkIo2ru2E1a0N3U0KX6Kls5sJjyJBSZ7mEpKUhQ/0D7GD18Znc1mo4BS3TKUas7334cMjMDDq0uFRZgm8FDAN6APNF5E0R6Ssi9au6cRGpIyIzgJXAB6r6VTnr9BORHBHJyc3NrWb4Ltpk/ZDJWRtGshD7AC8knbPyhpP1g3+AHbzzDtzzSyZ1f11IHYqRRQs5+ewGfN31iqBDi0tVKhcsInWxA619gcOBiapa5U9s6BfAG8B/VXV2Rev5KJoYN2yYHUkbOJAFPwm77+613V35VG0U7Y03wtAGQ2DMGJg0CXbwcRvVtd3lglV1IzAHmAv8BXSoTgCquhqYBBxbnee5GKKKzpzJyg9mggjt2wcdkIsFv/8Oev0NNv+fJ/daV2mCF5E2InKdiHwDvB1a/0RV7bytDYtIs5K++1C3Ti9g3vaH7KKSCK/0eZ42k0ZZJUHgVh8z5SogAjffbJWEJSXZxlLm59uC4lo/xSZhVThMUkSmYP3wr2DDJatbsbsFMEpE6mBfDK+o6ts1jtRFr6eegt69Oe30FuSvr8fRR9virKxAo3JR7vbb7XrJEjjnHMju/QYtr7scOnTYXK3MbZfKxsEPBD7VGs7pp6rfAp1qFJWLHcuWUfzfKymY/QP1HryH888POiAXawoLYelSmN/5TFp+vQd07Rp0SHGjsgR/GDAL+KO8B0XkCCDNW+WJbX2TFvTaYTotFrThlaCDcTEpIwPmzIHkZAFCyX3BAjt3IiUlyNBiXmUJfhbwtoisB74BcoFUYA/sxKUPgaHhDtBFsZkzSe3YkawX96RVq6CDcbEsOZSJRo+GaWMWMWz8AcjAgdZR72qswgSvqm8Cb4rIHlixsRbYCJoXgH6qmh+ZEF00Knz1DZL/dSq89x5HHnNM0OG4OLF4MXy9Ip2Ntw6l3tn/DDqcmFelcfCR4uPgY8edg/P5854nuGzOf9ltT583xtUOVeuT36JnprBwcxPfbWW7x8E7t0lxMRQUcMW19dlnxNWe3F2tErHknpcHmWcWs6JXJvz3v0GHFbM8wbtqWXrDw+ihh9KEP7jggqCjcfFq40aYOSuJpXXSoU0bPyW6hrz55aps0SK44eF0rt97fzo3bhx0OC6ONW4M06ZBvXo+jmN7bLMFLyJ7ishEEZkdun+AiNwU/tBctElPh16PnULrD57ZXP/VuTApKUqakwODjviSwqsGeEu+mqrSRTMCuBEogE0nMPUNZ1Auuvz1F/xx/VB4/nkuugiaNw86IpdIfvoJdpgxGX3tdVi5MuhwYkpVEnyaqn5dZllhOIJx0enfFxUy76EJFH74cdChuAT0r3/BlYuvJWXOt7DLLkGHE1OqkuB/E5H2hCbrEJHTgWVhjcpFlVtuT2bxMxNJfuKRoENxCap+wzpoox24PauYzy5/0QuSVVFVDrJeAQwH9haRpcDPwNlhjcpFhXnzYO+vn6PDKafQoUMjoMpzvThX6woLYeOYt+kxKxN61YdTTgk6pKi3zQSvqj8BR4lIAyBJVdeEPywXtMmT4bLD5zGbC0hatgxuuCHokFyCS0mBQV+cgH72PnJ0r6DDiQnbTPAick2Z+wB/AtNUdUZ4wnJB69YNzhmyNxu7f0Hq3w4MOhznAEhrIHDM0SxfDrdensvQR3ekaYu6QYcVtarSB98FuBSrDd8K+Dc2M9MIEbk+jLG5ACxbBuvWKimLF3DjjZB62ME2GYNzUWTxtFzuHLsva6+/LehQolpVEnxroLOqDlDVAcBBQHOsnPD5YYzNRVhREfTuDY90HYV26GBnmjgXhQ7u3Ywdbrma9IFnBR1KVKvKQdbmwIZS9wuAXVQ1X0Q2VPAcF4Pq1IE774T66/og826GTj5fi4te9bJuBOCNN+D7+coNA/3ku7KqkuCzga9E5M3Q/ROAF0MHXeeELTIXMaqwcCG0Sy/m+OMEZGfA63C7GKBKvZtvYK/cP9l4zZPem1jGNrtoVPUOrN99dehyqarerqrrVDUzvOG5SHj6adhnH/j1yrvhhBNg/fqgQ3KuakQ4+rg69Dk5mbrJPja+rCoVG1PVqSKyCJvRCRFpq6qLwxqZi5gTT7RCYrs2bwzrmkNqatAhOVdlyfcOBRE2bIABA+Dqq6F9+6Cjig5VGSZ5InA/0BJYCbQF5gH7hjc0F25LlkDLltCsWckM95cHHZJz1RcqfLdyyo9kPD2KifvfTvv23h8PVRtFcwfwN+B7VW0HHAV8GdaoXNj9/jsccoi1eBgyBCZODDok57ZLm+njuKbuI/Q7ZlHQoUSNqiT4AlVdBSSJSJKqTsLGxrsY1qSJJfcL++ZBdjaMGxd0SM5tn6uuImneXMjIYNYsuPFGry5clT741SLSEPgEyBaRlcC68IblwqWoCFatspK/11wDkGYFt72+u4t1SUmw664AzL7/fV6YcBT9+9ehRYuA4wpQVVrwJwF5wNXAe8ACoE84g3LhM2gQdO5sSZ5XX4WCAkhLg/peSMzFicmTOXPUscy58fmETu5QtQR/i6oWq2qhqo5S1YcBrzwVozIz4fLLoen8KVZo+9lngw7Judp12GHw0ks0uuxsVOH+++GLL4IOKhii2+ikEpFvVLVzmWXfquoBtR1Mly5dNCcnp7Y367CJcLaaien99+HIIyHZp+Z18WnN8nUc0j2ZnsfU47HHgo4mPERkmqqWe1y0wha8iFwmIrOAvUTk21KXn4FvwxWsq31z58Luu8Mzz2ATJSwLzddyzDGe3F38WrOGRv/ozNRjb+aRBJ2rprIumhexsgTjQtcll4NU1Sf8iCHt2sGFF8LRRwOPPAIdOsCCBUGH5Vx4NWoEffvS4PTjSEqC336D666zw06JorLmWx3gL2xGpy2IyE6q+nvYonK1Yt06G1hQvz48+GBoYe/e1l+z225BhuZcZNy2uZzwRx9Z++af/4SDDw4wpgiqLMFPIzQPK1B2DJ0CniGimCqcc47l8smToU6S2lDI9u2tZKRzieR//+Nfc+fS7YfHaN066GAip8IEHzprtcZEpA3wHLAL9oUwXFUf2p5tuqrJyrLL2WfDihVWBphBg21s5GOPhRY4l0BWrIClS2ndfCNQl/Hjrabet9/aZyVebXMUDWyqR3NY6O7Hqvp2FZ7TAmihqt+ISCPsF8HJqlphiWEfRVM7RMo5g2/QIEvwTz4ZSEzOBaqoyPorRVCFf/zDxht8/nnsn+1a2SiaqhQbuxvoitWFB7hSRLqp6qDKnqeqy4BlodtrRGQuNuWf15APow8+sOspU2xe1U2GDo39/2TnaqrkV2tuLvL004x5/XpS6wuNGgUbVrhV5USn44Feqvq0qj6NzcdarTNZRSQD6AR8Vc5j/UQkR0RycnNzq7NZV0pWlrXcjz7a7nfvbvcnHjEEZs2yhV6OwCW6V16hcPAtHN589qbkLmKXeOyqqUqCB2hc6vaO1dlBqI7N68BVqvpX2cdVdbiqdlHVLs2aNavOpl0pAwbYT86SRroq6MpcjpzzP3jppWCDcy5aXHYZyXNnM0v33/RZSUmB556LzwRflbNc7gKmi8gkbDTNYcDAqmxcRFKw5J6tqmNqHKWr1Pr1dkJq167w6KOlHmjWzFrvO1brO9m5+JWUBHvsYRVUr72WIlZQ1KwtKUlDgPiboK6yM1kfFZHuqjoaqwc/BkvWh6rqy9vasIgIMBKYq6oP1FbAbmv16kGfPnBhajZkZFBMEuyyi/0TN2uGT1TpXCnZ2XDxxbB8OUkoKb8ugn79WDosm5Ejgw6udlU4ikZErgT6Ai2AV4DRqjq9yhsW6QF8CswCSiZLHKSq4yt6jo+iqb61a6FhQ+yftl8/yMvb/GC9ejBypFUYc86ZjAybo7KM3xqks3+jhcyfDzvsEPmwaqqyUTRVKTaWjiX6vkB9YDSW7L+v7UA9wVfPiBE2OOaTT6DN3zPK/aclPR0WLox0aM5Fr6SkckeUqQi/LCymbdsAYtoONSo2VkJVF6nqParaCTgTOBmYW7shupo48EDo2ROreb24gjnQK1ruXKKqIINL69abHhoxIj4+OttM8CKSLCIniEg28C4wHzg17JG5CpX0wnTtahUik5OBNm3KXznWmiPOhduQITbJTWl168JddwGwfDlcey38738BxFbLKjvI2ktEngaWAJcA7wDtVbWvqr4ZqQDdllasgP32sxbGFoYOhdTULZelpdk/s3Nus8xMGD7cui9F7Prpp235nDns2mgdX34Jd98ddKDbr7IW/I3AFKCDqp6oqi+qqs/FGrBGjewkps4lU7AUFsKnn9o/51NPbflPO3y4H2B1rjyZmXZsqrjYrjMzYfVq6NED+venQwc7+fWPP2zocayeBF6lWjSR4gdZK1ZcbLl8qxGP995r08d/+y3su28gsTkXN15+2Wp8hLo8hw2DwYNh5kybRiEabddBVhcdbroJevWC/PwyD/znP/D8857cnasNZ5xhyV0VJk9mwADIyYne5L4tnuBjxP77Q6dOpbrZx4+HDRusn/2sswKNzbm488or0LMnSR9O4IDQ7NMTJ8I33wQbVnV5F02U27ixnG6Z+fNhn31stpqbbgokLufiWmEhvPACnHsuJCVRUGCt+Pbtba76aOJdNDFq7lwrmzF5cpkH9toL3nrLxnI552pfcjKcfz4lk7mmTP+a8eOtYR9LPMFHsYYNrdWQkRFaMHWqHUwFOP74rYdFOudq30UXwckns2ebfHbc0Rr3Tz5p19GuKtUkXYQVFFgDok0beO+90EJVqzUjAtOmeW135yLl4Ydh6VKbvR77TF56Key6K5x0UsCxbYMn+ChTXGyTZe+0k42/3ZTHReDNN61T3pO7c5GTnm4XgA8/pE+3zkyZshOHHhpsWFXhXTRRqF0765YRwc60GD7cWvBt28LuuwcdnnOJKTcXTj4ZBg/elNwXLIAPPww0qkp5Cz6KFBXZ2XOhkhjm8cdttEzPnrDnnkGF5pxr1gzefhu6bB6w8p//2GCI77+PzmkXvAUfJSZNggMOgJ9+KvPAwIHw5Zee3J2LBj172uiHggJ47jlGPqV88EF0JnfwBB816tWzBsJOO2HdMffcA7/9ZsO0OnUKOjznXGnZ2XDeebRc8Cl77GGLXnvNJuCJJp7gA1YcmuuqWzdrxTduDMyZYzMAv/higJE55yp03nnw0Udw2GGAnXt4xhnw4IPBhlWW98EHaP16OPZYK2R3ySWlBsfsu69VNyppGjjnoosIHH643Z43j70WLuSjj46le/dgwyrLW/ABKiy08r+NG4cWvPQSvPOO3d5zTx8O6VwsuPpquPxy/nHoRpKT4a+/7FhsNPAWfEBU7VjNuHGhPF5cDA89ZAuPP96Tu3OxYtQo63wPHWnNyoLHHrMBEy1bBhuat+AD8Pzz1jWzZk2pPJ6UBBMm2JEaT+7OxY7mzWG33ez2U09xx2W/MmFC8MkdPMEHoqjIruvVA+bNg6uu2txfs+OOQYbmnKupX3+Fq6+mwVMPlRx75fPPYdmy4ELyBB9BJZWZzz/f6lnUrYu12l96Kdj/Aufc9mvZ0s5ZGToUsF/oJ50E11wTXEie4CNk1So49FD45BO7v6kXpn9/+O67TVOEOedi2L772unoq1fT6KE7eeP1Yh59NLhwPMFHyNq1VicsORnIy4Mzz7TuGYCmTQONzTlXy954A26/nb83+IaddrIxFCUD5CLJE3yYlXTLpKfb3I7dugGLF9ssHnPmBBqbcy5MLrjAfpmH6tY88wz06QOffhrZMHyYZJjdcYcVhLz/fhsoA8Dee1t1ooYNA43NORdGJScqTpzI+SnLafJ6Jj16RDYET/BhpAq//w6rV4f63AcNslkC+vf35O5cIlCF+++nzooVnPrVGSDJLF5sXbb77BP+3XuCDyMRq01RVARSXGR97r//bn90H+vuXPwTsVFyxcWQnIwqnHKKjYqePr3Ur/ow8QQfBj/+aNM4jhplE3fUSVKQOvDqq7aCJ3fnEscOO9h1UREyaBDP3XIJssfuYU/uEMaDrCLytIisFJHZ4dpHNMrKghUrbFh7YSE24P3oo62fpk4duzjnEs/SpTByJPv++Oam7plJk6xxn5UVnl2G8zvkWeDYMG4/Kt12G3TvbgNkdt8d+PNPqz4Uia9r51z0atvWRtYMGADAF1/AEUfAiBGWN8IhbFlHVT8Bfg/X9qONKvz735vvJ0uoHsEZZ8CUKZt/pjnnEtcuu9j1ggX87Zl/k/3MRi64IHy7C7xZKSL9RCRHRHJyc3ODDqdGsrKsgT58uN1vLUuYlXwgz543yRZ4t4xzrrQvviD/hdf55oKH+LVeBkUksVAyOEuya7W7RrTkTJwwEJEM4G1V3a8q63fp0kVzcnLCFk9YZWejgwajixeT1KolpKXByy/7dHvOufINH2615PPyNi9LS7PlmZlV3oyITFPVLuU9FngLPtZNmQIPHZKNXtIPWbyIJNQOpixd6meqOucqNnTolskd7P7gwbW2C0/w22n+fDj9m8FIfnj/UM65OLN4cfWW10A4h0mOBr4A9hKRJSJyUbj2FaQLLoCWReH/Qznn4kzbttVbXgPhHEVzpqq2UNUUVW2tqiPDta9I27gR+vaFqeNzITMT2XXX8lesxT+Ucy7ODBlife6lpaXZ8lriXTQ1sHIlTJsGP/+k8PHHVtU/zH8o51ycycy0A6rp6XZ2e3p6tQ+wbktYR9FUV0yMopk3D7KzWT/odlLrC6xfD6mpkJ1tfe6LF1vLfciQWv1DOedceXwUTS159VV45z/j0UcfJXVlqH89NdWuMzNh4UI773jhQk/uzrnAebGxqvjss9BVD6bn9eeomWdTr03zgINyzrnKeYLflqIiuPhiaNWKBz+cSF5eMvUaeHJ3zkU/76IpjyqMHw+FhaxeU4cB7cey9PFxiECDBkEH55xzVeMJvjyffw69e8OoUcydC6O+2psffvXM7pyLLd5FU6KoyE5L3Wcfq/c7ZgyccAKHJsPPP0OjRkEH6Jxz1eMt+BJXXgk9esCqVSDCg4tO4aXX7PvPk7tzLhYldgs+L8+GNTZsCP/5D3TrBjvtRFERjB1r82OfcYbPsOeci02Jm+Dz8+HAA206vUcegb33tgtWvv399y33e3J3zsWqxOui2bjRruvXh0sugdNO2/TQokVw2WWW++vVs1Wccy5WJVaC/+wzyMjYXKf9uuvg8MM3PTx5ss3R8csvwYTnnHO1KTESfEm9nb32goMOqnAKvXPPhR9/hD33jGBszjkXJvGf4B9+2I6UqkKzZvDWW5boQ1Th5putOiTATjsFFKdzztWy+D/IWlQEhYVW9bGcTvVVq+C55yzRH3RQAPE551yYxF+54HXrrGxv797Qq5dl7m0MhVm1Cpo0gaT4/z3jnIsz8V0uODvbDpwmJdn1q6/Ce+/B1Kn2eAXJfdo0uOsuy/9Nm3pyd87Fn9hOa9nZ0K+fjW9UtesrroAbboBBgyp96ujR8OSTsHp1ZEJ1zrlIi+0umowMS+plpafbpBuVULWp93bZpVohOudcVInfLprFi6u1vLDQGvfLl1vPjSd351w8i+0E37ZttZbPnm1VCSZMCGNMzjkXJWI7wQ8ZAmlpWy5LS7Pl5TjwQPj+ezuhyTnn4l1sJ/jMTBg+3PrcRex6+PCtJrx++22rDgnQqlXkw3TOuSDE9kHWKlC14fBr1sCUKRVWKXDOuZhU2UHWuD+TVQTGjYO1az25O+cSS2x30VRi7Vq45RbYsMG65Zs3Dzoi55yLrLhN8O++a2eqlpzQ6pxziSZuu2j++U/o3Bnatw86EuecC0bcteBHjYJZs+y2J3fnXCKLqwSfl2e13e+5J+hInHMueGFN8CJyrIjMF5EfRWRgOPeVlWUHU7/4woqIOedcogtbgheROsCjwHHAPsCZIrJPOPb1669w22025r1VK2jQIBx7cc652BLOFvzBwI+q+pOqbgReAk4Kx44ef9yufbJs55zbLJwJvhVQOuUuCS3bgoj0E5EcEcnJzc2t1g6ysuxEpjvvtPslFQuysmoasnPOxY/AD7Kq6nBV7aKqXZo1a1at52ZlWbdMSbWFktue4J1zLrwJfinQptT91qFlzjnnIiCcCX4qsIeItBORukBfYFy4dnbrreHasnPOxaawncmqqoUi8h/gfaAO8LSqfheu/Xm3jHPObSmspQpUdTwwPpz7cM45V77AD7I655wLD0/wzjkXpzzBO+dcnPIE75xzcSqq5mQVkVxgUQ2fvjPwWy2GE8v8vdiSvx9b8vdjs3h4L9JVtdyzRKMqwW8PEcmpaOLZROPvxZb8/diSvx+bxft74V00zjkXpzzBO+dcnIqnBD886ACiiL8XW/L3Y0v+fmwW1+9F3PTBO+ec21I8teCdc86V4gneOefiVMwn+EhO7B3tRKSNiEwSkTki8p2IXBl0TEETkToiMl1E3g46lqCJSGMReU1E5onIXBE5NOiYgiQiV4c+J7NFZLSIpAYdU22L6QQfyYm9Y0QhMEBV9wH+BlyR4O8HwJXA3KCDiBIPAe+p6t5ARxL4fRGRVkB/oIuq7oeVNO8bbFS1L6YTPBGc2DsWqOoyVf0mdHsN9gHeah7cRCEirYHewFNBxxI0EdkROAwYCaCqG1V1daBBBS8ZqC8iyUAa8GvA8dS6WE/wVZrYOxGJSAbQCfgq4FCC9CBwPVAccBzRoB2QCzwT6rJ6SkQaBB1UUFR1KXAfsBhYBvypqhOCjar2xXqCd+UQkYbA68BVqvpX0PEEQUT6ACtVdVrQsUSJZKAz8LiqdgLWAQl7zEpEmmC/9tsBLYEGInJ2sFHVvlhP8D6xdxkikoIl92xVHRN0PAHqDpwoIguxrrsjROSFYEMK1BJgiaqW/KJ7DUv4ieoo4GdVzVXVAmAM0C3gmGpdrCf4iE7sHe1ERLA+1rmq+kDQ8QRJVW9U1daqmoH9X3ykqnHXQqsqVV0O/CIie4UWHQnMCTCkoC0G/iYiaaHPzZHE4UHnsM7JGm6Rntg7BnQHzgFmiciM0LJBoblxnfsvkB1qDP0EXBBwPIFR1a9E5DXgG2z02XTisGyBlypwzrk4FetdNM455yrgCd455+KUJ3jnnItTnuCdcy5OeYJ3zrk45QnexSURaSoiM0KX5SKyNHR7rYg8FqZ9XiUi51byeB8RuT0c+3auPD5M0sU9EckC1qrqfWHcRzI2prqzqhZWsI6E1umuqnnhisW5Et6CdwlFRHqW1IYXkSwRGSUin4rIIhE5VUTuFZFZIvJeqOwDInKQiEwWkWki8r6ItChn00cA35QkdxHpH6rL/62IvASg1pr6GOgTkRfrEp4neJfo2mPJ+UTgBWCSqu4P5AO9Q0n+f8DpqnoQ8DQwpJztdAdKFzYbCHRS1QOAS0stzwH+XuuvwrlyxHSpAudqwbuqWiAis7ByF++Fls8CMoC9gP2AD6yHhTpYedmyWrBlLZNvsbIAY4GxpZavxKoXOhd2nuBdotsAoKrFIlKgmw9KFWOfDwG+U9VtTW+XD5Se8q03NsHGCcBgEdk/1H2TGlrXubDzLhrnKjcfaFYyf6mIpIjIvuWsNxfYPbROEtBGVScBNwA7Ag1D6+0JzA571M7hCd65SoWmgjwduEdEZgIzKL9u+LtYix2sG+eFULfPdODhUtPjHQ68E86YnSvhwySdqyUi8gZwvar+UMHjuwAvquqRkY3MJSpP8M7VktBkGruo6icVPN4VKFDVGRENzCUsT/DOORenvA/eOefilCd455yLU57gnXMuTnmCd865OOUJ3jnn4tT/A7cpzz3aJonsAAAAAElFTkSuQmCC\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(x,y,'b+:',label='data')\n", + "plt.plot(x,gaus(x,*popt),'ro:',label='fit')\n", + "plt.legend()\n", + "plt.title('Fig. 3 - Fit for Time Constant')\n", + "plt.xlabel('Time (s)')\n", + "plt.ylabel('Voltage (V)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Paso 3\n", + "### Ahora, para un array 2Dimensional" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La gaussiana en 2d se caracteriza por tener dos medias y dos desviaciones, una en el eje x y otra en y. Puede ser simétrica o asimétrica.\n", + "\n", + "Entonces para obtener los parametros de entrada del ajuste 2D, necesitamos sacar unas gaussianas caracterÃsticas que se van a obtener a partir del perfil central de la foto de la estrella. Tanto para el eje x como para el y." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Para el eje x" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "254.66666666666666" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y1 = imgray[13,:]\n", + "max_ = max(y1)\n", + "y1 = y1 /max_\n", + "max_" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:3: DeprecationWarning: scipy.asarray is deprecated and will be removed in SciPy 2.0.0, use numpy.asarray instead\n", + " This is separate from the ipykernel package so we can avoid doing imports until\n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:7: DeprecationWarning: scipy.sqrt is deprecated and will be removed in SciPy 2.0.0, use numpy.lib.scimath.sqrt instead\n", + " import sys\n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:10: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " # Remove the CWD from sys.path while we load stuff.\n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:10: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " # Remove the CWD from sys.path while we load stuff.\n" + ] + }, + { + "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": [ + "#Matrix[indice_fila][indice_columna]\n", + "\n", + "x1 = ar(range(len(y1)))\n", + "\n", + "n = len(x1) \n", + "mean1 = sum(x1*y1)/n \n", + "sigma1 = sqrt(sum(y1*(x1-mean1)**2)/n)\n", + "\n", + "def gaus1(x1,a,x0,sigma1):\n", + " return a*exp(-(x1-x0)**2/(2*sigma1**2))\n", + "\n", + "popt1,pcov1 = curve_fit(gaus1,x1,y1,p0=[1,mean1,sigma1])\n", + "\n", + "plt.plot(x1,y1,'o',label='data')\n", + "plt.plot(x1,gaus1(x1,*popt1),label='fit')\n", + "plt.legend()\n", + "plt.title('Perfil de intensidad eje x')\n", + "plt.xlabel('Pixel en eje x')\n", + "plt.ylabel('Intensidad de la luz')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ 0.9149251 , 17.39730508, 11.59703748]),\n", + " array([[ 7.17451383e-04, -1.76325935e-04, -9.11596177e-03],\n", + " [-1.76325935e-04, 1.66143817e-01, 7.96544714e-03],\n", + " [-9.11596177e-03, 7.96544714e-03, 2.82216770e-01]]))" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "popt1,pcov1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Del vector popt, el primer valor es la amplitud del ajuste, el segundo la media y el tercer valor la desviación." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Para el eje y" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "254.66666666666666" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y2 = imgray[:,18]\n", + "max_ = max(y2)\n", + "y2 = y2 /max_\n", + "max_" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:3: DeprecationWarning: scipy.asarray is deprecated and will be removed in SciPy 2.0.0, use numpy.asarray instead\n", + " This is separate from the ipykernel package so we can avoid doing imports until\n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:8: DeprecationWarning: scipy.sqrt is deprecated and will be removed in SciPy 2.0.0, use numpy.lib.scimath.sqrt instead\n", + " \n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:11: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " # This is added back by InteractiveShellApp.init_path()\n", + "/home/grisalesj/.local/lib/python3.7/site-packages/scipy/optimize/minpack.py:829: OptimizeWarning: Covariance of the parameters could not be estimated\n", + " category=OptimizeWarning)\n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:11: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " # This is added back by InteractiveShellApp.init_path()\n" + ] + }, + { + "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": [ + "#Matrix[indice_fila][indice_columna]\n", + "\n", + "x2 = ar(range(len(y2)))\n", + "\n", + "n = len(x2) #the number of data\n", + "mean2 = sum(x2*y2)/n #note this correction\n", + "#sigma = 3 #note this correction\n", + "sigma2 = sqrt(sum(y2*(x2-mean2)**2)/n)\n", + "\n", + "def gaus2(x2,a,x0,sigma):\n", + " return a*exp(-(x2-x0)**2/(2*sigma2**2))\n", + "\n", + "popt2,pcov2 = curve_fit(gaus2,x2,y2,p0=[1,mean2,sigma2])\n", + "\n", + "plt.plot(x2,y2,'o',label='data')\n", + "plt.plot(x2,gaus2(x2,*popt2),label='fit')\n", + "plt.legend()\n", + "plt.title('Perfil de intensidad eje y')\n", + "plt.xlabel('Pixel en eje y')\n", + "plt.ylabel('Intensidad de la luz')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(11.394091249065072, 8.596154201544314, 9.73525305410122, 7.287598906964398)" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mean1, sigma1, mean2, sigma2" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<function __main__.gaus1(x1, a, x0, sigma1)>" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "amp_x = np.max(gaus1)\n", + "amp_x" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(17.39730507932934,\n", + " 0.9149250993732906,\n", + " 13.303923434958103,\n", + " 1.0793923307442566,\n", + " 11.597037476282354,\n", + " 7.287598906964398)" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mean_f1 = popt1[1]\n", + "amp_f1= popt1[0]\n", + "mean_f2 = popt2[1]\n", + "amp_f2= popt2[0]\n", + "std_f1 = popt1[2]\n", + "std_f2 = popt2[2]\n", + "\n", + "\n", + "mean_f1, amp_f1, mean_f2, amp_f2 , std_f1, std_f2" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9971587150587735" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ampt = (amp_f1 +amp_f2)/2\n", + "ampt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Ahora necesitamos generar dos curvas continuas con los datos ajustados... " + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:10: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " # Remove the CWD from sys.path while we load stuff.\n", + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:11: DeprecationWarning: scipy.exp is deprecated and will be removed in SciPy 2.0.0, use numpy.exp instead\n", + " # This is added back by InteractiveShellApp.init_path()\n" + ] + } + ], + "source": [ + "x_fit = np.linspace(0,35,101)\n", + "zx_fit= gaus1(x_fit, *popt1)\n", + "\n", + "y_fit = np.linspace(0,30,101)\n", + "zy_fit=gaus2(y_fit, *popt2)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "## Ahora genero la grilla 2D\n", + "\n", + "x, y = np.meshgrid(x_fit, y_fit)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "def twoD_Gaussian(x, y, amplitude, xo, yo, sigma_x, sigma_y, theta, offset):\n", + " xo = float(xo)\n", + " yo = float(yo) \n", + " a = (np.cos(theta)**2)/(2*sigma_x**2) + (np.sin(theta)**2)/(2*sigma_y**2)\n", + " b = -(np.sin(2*theta))/(4*sigma_x**2) + (np.sin(2*theta))/(4*sigma_y**2)\n", + " c = (np.sin(theta)**2)/(2*sigma_x**2) + (np.cos(theta)**2)/(2*sigma_y**2)\n", + " g = offset + amplitude*np.exp( - (a*((x-xo)**2) + 2*b*(x-xo)*(y-yo)+ c*((y-yo)**2)))\n", + " return g.ravel()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.06115157, 0.06395469, 0.0668254 , ..., 0.024987 , 0.02390082,\n", + " 0.02284104])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "siriofit = twoD_Gaussian(x, y, ampt, mean_f1, mean_f2, std_f1, std_f2, 0, 0)\n", + "siriofit" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x360 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(6, 5))\n", + "plt.contourf(x, y, siriofit.reshape(101,101), 60, cmap = plt.cm.jet, zorder = 1) #,locator=ticker.LogLocator())\n", + "plt.xlabel('x [m]', fontsize = 15)\n", + "plt.ylabel('y [m]', fontsize = 15)\n", + "plt.axis([0,35,0,30])\n", + "# make a color bar\n", + "cbar = plt.colorbar()\n", + "cbar.set_label('Field strength [uV/m]', fontsize = 15)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x360 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(6, 5))\n", + "plt.contourf(x, y, siriofit.reshape(101,101), 60, cmap = plt.cm.gray, zorder = 1) #,locator=ticker.LogLocator())\n", + "plt.xlabel('x [m]', fontsize = 15)\n", + "plt.ylabel('y [m]', fontsize = 15)\n", + "plt.axis([0,35,0,30])\n", + "# make a color bar\n", + "cbar = plt.colorbar()\n", + "cbar.set_label('Field strength [uV/m]', fontsize = 15)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Paso 4\n", + "\n", + "Determinar alguna estadÃstica sobre las medidas de FWHM para gaussianas de distintas estrellas.\n", + "\n", + "FWHM es la abreviación de *Full width a half maximum* en español 'anchura a media altura' es una medida de la extensión espacial de una función. Corresponde a la diferencia entre valores más extremos de la variable independiente los cuales equivalen a la mitad del valor máximo.\n", + "\n", + "Para el caso de la distribución normal, la FWHM está dada por:\n", + "\n", + "$FWHM = 2\\sqrt(2ln2) *\\sigma$" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "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": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Untitled.ipynb b/Untitled.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..56b9c2ec8a5738c10e360a7711eccaa177fc9968 --- /dev/null +++ b/Untitled.ipynb @@ -0,0 +1,119 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Ejercicios para practicar numpy y optimización con scipy\n", + "\n", + "## Resolución espacial\n", + "\n", + "En observaciones astronómicas e imágenes en general, llamamos resolución espacial\n", + "a la distancia angular minima a la que pueden estar dos fuentes puntuales de luz\n", + "y aun poder ser reconocidas como objetos individuales. \n", + "\n", + "En el caso de la astronomÃa, este efecto tiene que ver con la dispersión de la\n", + "luz al atravezar la atmósfera, la cual hace que una estrella, que deberÃa\n", + "en principio aparecer como una fuente puntual (pues las estrellas están muy\n", + "lejos), aparezca en cambio como una mancha. AsÃ, si dos estrellas están\n", + "demasiado cerca sus *manchas* se superpondrán hasta el punto en que sea imposible\n", + "distinguirlas como fuentes individuales [(Ver imágenes en este link)]\n", + "(http://www.carlostapia.es/fisica/resolucion_criterios_practica.html) \n", + "\n", + "Para modelar este efecto, tÃpicamente consideramos la acción de la atmósfera\n", + "como la convolución de la imagen \"perfecta\" (como se verÃa desde el espacio)\n", + "con un kernel gaussiano. El ancho de esa función gaussiana 2D caracteriza\n", + "las condiciones de observación, varÃa con las condiciones climáticas y para\n", + "cada sitio de la Tierra. \n", + "\n", + "La resolución espacial normalmente se toma como el [FWHM]\n", + "(https://es.wikipedia.org/wiki/Anchura_a_media_altura#:~:text=La%20Anchura%20a%20media%20altura,mitad%20de%20su%20valor%20m%C3%A1ximo.)\n", + "de la gaussiana caracteristica registrada durante una observación. Es decir,\n", + "si dos estrellas están a una distancia aparente en el cielo menor que el \n", + "FWHM del efecto atmosférico, la luz de ambas fuentes se mezclará después de\n", + "la convolución hasta el punto de impedir reconocerlas de modo individual. \n", + "\n", + "Además, la atmósfera puede interactuar de maneras distintas con la luz de\n", + "distintas longitudes de onda, de manera que el ancho de la gaussiana puede\n", + "ser distinto para observaciones con diferentes filtros. \n", + "\n", + "El objetivo de esta tarea es medir de forma aproximada la resolución\n", + "espacial en una noche de observación en Zapatoca, Santander (Colombia), a partir\n", + "de una foto del cielo estrellado. \n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Ejercicio: Pasos\n", + "- Leer la imagen almacenada en la carpeta `data` como un array de numpy. Ese\n", + "array estará compuesto de 3 matrices, una tras otra, correspondiente a los \n", + "canales *R*,*G*,*B* \n", + "- Combinar los 3 array para generar una versión blanco y negro de la imagen,\n", + "en la cual ella consiste de una sola matriz 2D. Puede usar su intuición y prueba\n", + "y error para combinar las 3 imágenes, explicando el procedimiento elegido. Esto\n", + "será más interesante que usar un comando desconocido de una biblioteca sofisticada\n", + "que haga las cosas como una caja negra (**_queremos practicar numpy_**)\n", + "- Recorte un sector de la imagen conteniendo una estrella individual y ajuste una\n", + "gaussiana 2D simétrica a la imagen de la estrella por mÃnimos cuadrados, incluyendo\n", + "una constante aditiva (el cielo \"vacio\" brilla)\n", + "- Repita este procedimiento para varias estrellas y presente alguna estadÃstica\n", + "sobre las medidas de la FWHM de las distintas gaussianas: histograma, media, mediana,\n", + "desviación estándar\n", + "- Repita el mismo ejercicio sobre cada una de las bandas *R*,*G*,*B* separadamente\n", + "y comente si observa diferencias en los resultados\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Instrucciones generales\n", + "\n", + "- La entrega debe ser un archivo de markdown llamado `Entrega.md` incluyendo todo:\n", + "Texto con las\n", + "explicaciones, bloques de código, ecuaciones, gráficos.\n", + "- También debe haber un notebook (`Entrega.ipynb`)\n", + "con todos los códigos y resultados, por si deseo\n", + "revisar la ejecución de alguna parte del código, pero en principio el archivo de\n", + "markdown deberÃa ser autocontenido, como su reporte final.\n", + "- No olvide identificarse y dar un contexto amigable del contexto a resolver,\n", + "asà como explicar todos sus procedimientos y comentar los códigos apropiadamente\n", + "- Fraccione el código en celdas de acuerdo a la lógica de la solución\n", + "- Exploraciones complementarias al ejercicio serán muy bien recibidas\n", + "\n", + "**El objetivo es que si su instructor desea correr el código pueda hacerlo,\n", + "para eso va el notebook, pero que esto no sea necesario para evaluar la tarea,\n", + "para eso va el markdown con todas las explicaciones, códigos, ejemplos y \n", + "resultados. Aprovecharemos la ventaja doble que nos ofrece markdown: 1) GitLab\n", + "va a renderizar el archivo proveyendo una visualización adecuada; 2) nos permite\n", + "combinar texto (levemente) enriquecido, formulas en latex, bloques de código e\n", + "imágenes en un solo formato con una sintaxis sencilla **" + ] + } + ], + "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": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/data/data_zapatocaImage.jpeg b/data/data_zapatocaImage.jpeg new file mode 100644 index 0000000000000000000000000000000000000000..002ec38c9bb416775274c5c399cdbb214ffff442 Binary files /dev/null and b/data/data_zapatocaImage.jpeg differ diff --git a/data/zapatocaImage.jpeg b/data/zapatocaImage.jpeg index 002ec38c9bb416775274c5c399cdbb214ffff442..11eafb991dd28bd16b4040894eccfda079f43b15 100644 Binary files a/data/zapatocaImage.jpeg and b/data/zapatocaImage.jpeg differ diff --git a/normal.png b/normal.png new file mode 100644 index 0000000000000000000000000000000000000000..862d8db13e41a2bee38d616b04c89209c5e908fb Binary files /dev/null and b/normal.png differ diff --git a/plot.jpg b/plot.jpg new file mode 100644 index 0000000000000000000000000000000000000000..e9d98a877c92a89df9ceec1f537a2f831463fa38 Binary files /dev/null and b/plot.jpg differ