From 5ac8dbd8f3597d7170e892162a6880865ecea793 Mon Sep 17 00:00:00 2001 From: Jennifer Lorena Ortega Aguilar <ortegaj@jupyterMiLAB> Date: Thu, 18 Feb 2021 13:17:53 -0500 Subject: [PATCH] avance deber --- ....ipynb => ENTREGA_prueba-checkpoint.ipynb} | 0 .ipynb_checkpoints/Entrega-checkpoint.ipynb | 6 + ENTREGA.ipynb => ENTREGA_prueba.ipynb | 307 +++++++++++++----- Entrega.ipynb | 290 +++++++++++++++++ 4 files changed, 529 insertions(+), 74 deletions(-) rename .ipynb_checkpoints/{ENTREGA-checkpoint.ipynb => ENTREGA_prueba-checkpoint.ipynb} (100%) create mode 100644 .ipynb_checkpoints/Entrega-checkpoint.ipynb rename ENTREGA.ipynb => ENTREGA_prueba.ipynb (69%) create mode 100644 Entrega.ipynb diff --git a/.ipynb_checkpoints/ENTREGA-checkpoint.ipynb b/.ipynb_checkpoints/ENTREGA_prueba-checkpoint.ipynb similarity index 100% rename from .ipynb_checkpoints/ENTREGA-checkpoint.ipynb rename to .ipynb_checkpoints/ENTREGA_prueba-checkpoint.ipynb diff --git a/.ipynb_checkpoints/Entrega-checkpoint.ipynb b/.ipynb_checkpoints/Entrega-checkpoint.ipynb new file mode 100644 index 0000000..7fec515 --- /dev/null +++ b/.ipynb_checkpoints/Entrega-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/ENTREGA.ipynb b/ENTREGA_prueba.ipynb similarity index 69% rename from ENTREGA.ipynb rename to ENTREGA_prueba.ipynb index 1fe1c15..a5ddd66 100644 --- a/ENTREGA.ipynb +++ b/ENTREGA_prueba.ipynb @@ -250,7 +250,7 @@ { "data": { "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f89e25c9a58>" + "<matplotlib.image.AxesImage at 0x7f6a4a7816a0>" ] }, "execution_count": 11, @@ -280,7 +280,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -299,7 +299,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -312,10 +312,10 @@ { "data": { "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f89e24faef0>" + "<matplotlib.image.AxesImage at 0x7f6a4a34ce80>" ] }, - "execution_count": 12, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, @@ -342,16 +342,16 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f89e2474ba8>" + "<matplotlib.image.AxesImage at 0x7f6a4a2c1b38>" ] }, - "execution_count": 13, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, @@ -375,16 +375,16 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f89e245f7b8>" + "<matplotlib.image.AxesImage at 0x7f6a4a2ae748>" ] }, - "execution_count": 14, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, @@ -408,16 +408,16 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f89e10ec208>" + "<matplotlib.image.AxesImage at 0x7f6a48f3b208>" ] }, - "execution_count": 15, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, @@ -441,16 +441,16 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f89e10d1198>" + "<matplotlib.image.AxesImage at 0x7f6a48f20160>" ] }, - "execution_count": 16, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, @@ -474,16 +474,16 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f89e24d20f0>" + "<matplotlib.image.AxesImage at 0x7f6a4a31bc18>" ] }, - "execution_count": 17, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, @@ -507,16 +507,16 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f89e100fef0>" + "<matplotlib.image.AxesImage at 0x7f6a48deb0f0>" ] }, - "execution_count": 18, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, @@ -540,16 +540,16 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f89e0f75cc0>" + "<matplotlib.image.AxesImage at 0x7f6a48dc4e48>" ] }, - "execution_count": 19, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, @@ -573,16 +573,16 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f89e0ee4b00>" + "<matplotlib.image.AxesImage at 0x7f6a48d33da0>" ] }, - "execution_count": 20, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, @@ -606,16 +606,16 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f89e0ed0c88>" + "<matplotlib.image.AxesImage at 0x7f6a48d1feb8>" ] }, - "execution_count": 21, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, @@ -639,16 +639,16 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f89e0e3ff60>" + "<matplotlib.image.AxesImage at 0x7f6a48c977f0>" ] }, - "execution_count": 22, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, @@ -672,16 +672,16 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f89e0db2748>" + "<matplotlib.image.AxesImage at 0x7f6a48bfe908>" ] }, - "execution_count": 23, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, @@ -705,7 +705,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 25, "metadata": {}, "outputs": [], "source": [ @@ -716,7 +716,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 26, "metadata": {}, "outputs": [ { @@ -725,7 +725,7 @@ "'\\ndef function(params,x):\\n # x son las posiciones donde voy a evaluar el modelos\\n # params es una tupla con los parámetros que usa el modelo\\n ymodel = modelo(x)\\n return ymodel\\n\\ndef Error(tpl,x,y):\\n # x son las posiciones reportadas\\n # y son los valores medidos en las posiciones x\\n # tpl es una tupla con los parámetros para calcular el modelo\\n ymodel = function(tpl,x)\\n errors = (ymodel - y)\\n return errors\\n'" ] }, - "execution_count": 25, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } @@ -750,7 +750,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 27, "metadata": {}, "outputs": [], "source": [ @@ -764,7 +764,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 28, "metadata": {}, "outputs": [], "source": [ @@ -774,7 +774,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 29, "metadata": {}, "outputs": [ { @@ -802,10 +802,10 @@ { "data": { "text/plain": [ - "<matplotlib.lines.Line2D at 0x7f89d6e64e48>" + "<matplotlib.lines.Line2D at 0x7f6a3f0c9710>" ] }, - "execution_count": 44, + "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, @@ -846,7 +846,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 30, "metadata": {}, "outputs": [ { @@ -888,7 +888,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 31, "metadata": {}, "outputs": [ { @@ -907,16 +907,16 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.lines.Line2D at 0x7f89d721c588>" + "<matplotlib.lines.Line2D at 0x7f6a3f057ac8>" ] }, - "execution_count": 31, + "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, @@ -943,7 +943,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 76, "metadata": {}, "outputs": [], "source": [ @@ -960,7 +960,7 @@ }, { "cell_type": "code", - "execution_count": 109, + "execution_count": 82, "metadata": {}, "outputs": [ { @@ -976,7 +976,7 @@ "25" ] }, - "execution_count": 109, + "execution_count": 82, "metadata": {}, "output_type": "execute_result" }, @@ -1002,32 +1002,32 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 83, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16]\n", - "(17,)\n", - "(17,)\n", - "[ 4.93765974e+00 8.06395245e+00 -6.62856580e-03]\n" + "[ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15]\n", + "(16,)\n", + "(16,)\n", + "[ 4.91766638e+00 7.07821861e+00 -6.83173858e-03]\n" ] }, { "data": { "text/plain": [ - "[<matplotlib.lines.Line2D at 0x7f89d6027f60>]" + "[<matplotlib.lines.Line2D at 0x7f6a37213be0>]" ] }, - "execution_count": 62, + "execution_count": 83, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] @@ -1076,7 +1076,7 @@ }, { "cell_type": "code", - "execution_count": 126, + "execution_count": 79, "metadata": {}, "outputs": [], "source": [ @@ -1086,8 +1086,9 @@ " #params[2] = SigmaX\n", " #params[3] = y0\n", " #params[4] = SigmaY\n", + " #params[5] = C\n", " #numpy.pi = numero pi\n", - " z = params[0]*(np.exp(-(((x-params[1])**2)/(2*params[2]**2))+(((y-params[3])**2)/(2*params[4]**2))))\n", + " z = (params[0]*(np.exp(-(((x-params[1])**2)/(2*(params[2]**2)))+(((y-params[3])**2)/(2*(params[4]**2))))))+params[5]\n", " return z\n", "\n", "\n", @@ -1097,7 +1098,7 @@ }, { "cell_type": "code", - "execution_count": 121, + "execution_count": 80, "metadata": {}, "outputs": [], "source": [ @@ -1136,7 +1137,7 @@ }, { "cell_type": "code", - "execution_count": 122, + "execution_count": 81, "metadata": {}, "outputs": [ { @@ -1157,42 +1158,200 @@ "from mpl_toolkits.mplot3d import Axes3D\n", "import numpy as np\n", "\n", + "fig = plt.figure(figsize=(6, 6))\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "ax.scatter(x_array, y_array,lum_array,\n", + " linewidths=1, alpha=.7,\n", + " edgecolor='k',\n", + " s = 5)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "10.260627817604844\n", + "15\n", + "24\n", + "400\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x432 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# parametros\n", + "#params[0]= A\n", + "#params[1] = x0\n", + "#params[2] = SigmaX\n", + "#params[3] = y0\n", + "#params[4] = SigmaY\n", + "#params[5] = C\n", + "#numpy.pi = numero pi\n", + "\n", + "# [ 4.91766638e+00 7.07821861e+00 -6.83173858e-03]\n", + "\n", + "#params[0]= sigma\n", + "#params[1] = x0\n", + "#params[2] = C\n", + "#numpy.pi = numero pi\n", + "\n", + "#print(lum_prueba)\n", + "#best_prueba = [1,7.07821861,4.91766638,0.1,6,-5]\n", + "np.std(lum_array)\n", + "\n", + "best_prueba = [10,7,100,15,100,min(lum_array)]\n", + "\n", + "#best_prueba = [1,7.07821861,4.91766638,15,6,min(lum_prueba)]\n", + "\n", + "\n", + "lum_prueba = func_gauss_2D(best_prueba,x_array,y_array)\n", + "lum_prueba_array = lum_prueba\n", + "\n", + "print(max(lum_prueba_array))\n", + "print(max(x_array))\n", + "print(max(y_array))\n", + "print(len(y_array))\n", + "\n", + "#y_array = np.zeros((25))\n", + "\n", "\n", "fig = plt.figure(figsize=(6, 6))\n", "ax = fig.add_subplot(111, projection='3d')\n", - "ax.scatter(x_grap, y_grap,lum_grap,\n", + "ax.scatter(x_array, y_array,lum_prueba_array,\n", " linewidths=1, alpha=.7,\n", " edgecolor='k',\n", " s = 5)\n", - "plt.show()\n" + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 132, + "execution_count": 54, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[ 0.60788423 7.07278913 9.82945886 12.49474136 15.61069467]\n" + "[8.15520772e-03 8.81354896e+00 3.29752571e+01 1.20641723e+01\n", + " 4.43136647e+00 5.46472355e-01]\n", + "0.14749262536873156\n" ] } ], "source": [ - "p1 = [1,2,1,1,20]\n", + "# parametros\n", + "#params[0]= A\n", + "#params[1] = x0\n", + "#params[2] = SigmaX\n", + "#params[3] = y0\n", + "#params[4] = SigmaY\n", + "#params[5] = C\n", + "#numpy.pi = numero pi\n", + "\n", + "#p1 = [1,2,1,10,5,min(lum_array)]\n", + "#p1 = [1,2,10,1,4,3]\n", + "\n", + "\n", + "\n", + "\n", + "p1 = [1,7,1,12,5,min(lum_array)]\n", "best,suss = leastsq(Error_gauss_2D, p1, args=(x_array,y_array,lum_array))\n", "print(best)\n", - "\n" + "\n", + "print(min(lum_array))\n" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x432 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "lum_model_array = func_gauss_2D(best,x_array,y_array)\n", + "\n", + "\n", + "fig = plt.figure(figsize=(6, 6))\n", + "\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "#ax.scatter(x_grap, y_grap,lum_grap,\n", + "# linewidths=1, alpha=.7,\n", + "# edgecolor='k',\n", + "# s = 5)\n", + "ax.scatter(x_grap, y_grap,lum_model_array, linewidths=1, alpha=.7,\n", + " edgecolor='m',\n", + " s = 5 )\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 56, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "import pandas as pd\n", + "d = {'X':x_array , 'Y':y_array, 'lum': lum_array, 'lum_model': lum_model_array }\n", + "df = pd.DataFrame(data=d)" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'px' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m<ipython-input-58-eb23c8bf2a07>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m#print(df)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m fig = px.scatter_3d(df, x = 'X', \n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0my\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'Y'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m z = 'lum') \n", + "\u001b[0;31mNameError\u001b[0m: name 'px' is not defined" + ] + } + ], + "source": [ + "#print(df)\n", + " \n", + "fig = px.scatter_3d(df, x = 'X', \n", + " y = 'Y', \n", + " z = 'lum') \n", + " \n", + "fig.show()" + ] }, { "cell_type": "code", diff --git a/Entrega.ipynb b/Entrega.ipynb new file mode 100644 index 0000000..1f6d212 --- /dev/null +++ b/Entrega.ipynb @@ -0,0 +1,290 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Nombre: Jennifer Ortega \n", + "## Ejercicio para practicar numpy y optimización con scipy\n", + "### Resolución espacial" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Resolución \n", + "- Cargamos la imagen utilizando PIL, y utilizamos asarray para leer la imagen en forma de matrices.\n", + "- Las matrices las transformamos a escala de grises y normalizamos el resultado.\n", + "- Recortamos una imagen de una estrella.\n", + "- Realizamos el ajuste a una gaussiana en 1D" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(789, 1184, 3)\n" + ] + } + ], + "source": [ + "from PIL import Image\n", + "from numpy import asarray\n", + "import numpy as np\n", + "image = Image.open('data/zapatocaImage.jpeg')\n", + "data = asarray(image) # abrimos la imagen en forma de array\n", + "print(data.shape) # para ver la dimensión del array\n", + "b, g, r = data[:, :, 0], data[:, :, 1], data[:, :, 2] # Separamos las matrices según R,G,B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Tranformación de RGB a Escala de Grises \n", + "Para la transformación tenemos la siguiente ecuación:\n", + "$$Grayscale = (R + G + \\frac{B}{3})$$\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "339.0\n", + "[[0.07177974 0.07177974 0.07177974 ... 0.12782694 0.16224189 0.18289086]\n", + " [0.07866273 0.07866273 0.07866273 ... 0.13470993 0.15634218 0.17010816]\n", + " [0.08554572 0.08554572 0.08554572 ... 0.14159292 0.15634218 0.16322517]\n", + " ...\n", + " [0.10914454 0.10226155 0.10226155 ... 0.04818092 0.0619469 0.07571288]\n", + " [0.09537856 0.10226155 0.10914454 ... 0.0619469 0.0619469 0.06489676]\n", + " [0.08161259 0.09537856 0.11602753 ... 0.07866273 0.07177974 0.05113078]]\n" + ] + } + ], + "source": [ + "Grayscale0 = (r + g + b/3) # transformamos a escala de grises\n", + "Grayscale =Grayscale0/np.max(Grayscale0) # normalizamos los valores\n", + "print(np.max(Grayscale0))\n", + "print(Grayscale) # ahora tenemos una sola matriz" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7fd1caaa74e0>" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import matplotlib.cm as cm\n", + "plt.imshow(Grayscale, cmap=cm.gray, vmax=np.max(Grayscale)) # imprimimos la imagen en escala de Grises." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7fd1caa87c50>" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "estrella0 = Grayscale[546:562,650:675] # recortamos una imagen de una estrella\n", + "plt.imshow(estrella0, cmap=cm.gray, vmax=np.max(estrella0)) # imprimimos la estrella" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Ajuste a una gaussiana 1D\n", + "La fución gaussiana en una dimensión es de la forma.\n", + "\n", + "$$\n", + "f(x)=A e^{-\\frac{1}{2}\\left(\\frac{x-x_0}{\\sigma}\\right)^{2}}+C\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "from scipy.optimize import leastsq \n", + "\n", + "# Definimos la función gaussiana y el error.\n", + "def func_gauss_1D(params,x):\n", + " '''Función Gaussiana en 1D\n", + " params[0] = A\n", + " params[1] = sigma\n", + " params[2] = x0\n", + " params[3] = C\n", + " np.pi = numero pi\n", + " '''\n", + " y =params[0]*(np.exp((-(x-params[2])**2)/(2*(params[1]**2)))) + params[3]\n", + " #y = (1/np.sqrt(2*np.pi*params[0]))*(np.exp((-(x-params[1])**2)/(2*(params[0]**2))))\n", + "\n", + " return y\n", + "def Error_gauss_1D(tpl,x,y):\n", + " return func_gauss_1D(tpl,x)-y" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15]\n", + "[0.24680433 0.32743363 0.42182891 0.52507375 0.6273353 0.69518191\n", + " 0.78367748 0.7885939 0.76007866 0.67649951 0.58210423 0.48180924\n", + " 0.38741396 0.30973451 0.20943953 0.16814159]\n", + "(16,)\n", + "0.20432637603887024\n", + "7.5\n", + "2.006836302515641\n", + "[0.69402816 3.94656979 6.81159127 0.08975757]\n" + ] + }, + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x7fd1ca932a90>]" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.cm as cm\n", + "\n", + "x = np.arange(0, estrella0.shape[0], 1)\n", + "y = np.arange(0, estrella0.shape[1], 1)\n", + "print(x)\n", + "#print(y)\n", + "\n", + "lumx = estrella0[:,8]\n", + "print(lumx)\n", + "print(x.shape)\n", + "print(np.std(lumx))\n", + "print((max(x)-min(x))/2)\n", + "\n", + "prob=lumx*x\n", + "print(np.std(prob))\n", + "\n", + "p1 = [2,1,7.5,0.2]\n", + "best,suss = leastsq(Error_gauss_1D, p1, args=(x,lumx))\n", + "print(best)\n", + "\n", + "lum_model = func_gauss_1D(best,x)\n", + "plt.plot(x,lum_model)\n", + "plt.plot(x,lumx,'o',color=\"darkorange\")\n", + "#plt.plot(x_prueba,lum_model_prueba,'--r')\n", + "\n", + "#plt.plot(x,ymodel - y_ruido,'--r')\n", + "#plt.axhline(y=0,color=\"gray\")" + ] + }, + { + "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 +} -- GitLab