From f660993f820db742d66952b947ad9b5c9a468b42 Mon Sep 17 00:00:00 2001
From: Felipe Reyes Osorio <reyesf@jupyterMiLAB>
Date: Tue, 16 Feb 2021 20:48:37 -0500
Subject: [PATCH] Added optimization of gaussian

---
 starlight.ipynb | 277 +++++++++++++++++++++++++++++++++++++++++++++---
 1 file changed, 262 insertions(+), 15 deletions(-)

diff --git a/starlight.ipynb b/starlight.ipynb
index 0f2fd48..d425665 100644
--- a/starlight.ipynb
+++ b/starlight.ipynb
@@ -15,19 +15,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 37,
    "metadata": {},
    "outputs": [],
    "source": [
     "import numpy as np\n",
     "from PIL import Image\n",
     "\n",
-    "from matplotlib.pyplot import *"
+    "from matplotlib.pyplot import *\n",
+    "from mpl_toolkits.mplot3d import Axes3D"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 59,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [
     {
@@ -36,7 +37,7 @@
        "(789, 1184, 3)"
       ]
      },
-     "execution_count": 59,
+     "execution_count": 2,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -49,7 +50,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 58,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [
     {
@@ -96,7 +97,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 37,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -109,7 +110,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 50,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -128,16 +129,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 60,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<matplotlib.image.AxesImage at 0x7f6858538eb8>"
+       "<matplotlib.image.AxesImage at 0x7fc7f0416a20>"
       ]
      },
-     "execution_count": 60,
+     "execution_count": 6,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -155,15 +156,261 @@
     }
    ],
    "source": [
-    "fig1, ax2= subplots(nrows=1, ncols=2,figsize=(15,10))\n",
+    "fig1, ax1= subplots(nrows=1, ncols=2,figsize=(15,10))\n",
+    "\n",
+    "ax1[0].title.set_text(\"Método sofisticado\")\n",
+    "ax1[1].title.set_text(\"Método sencillo\")\n",
+    "\n",
+    "ax1[1].imshow(grayScaler(sky, naive=True), cmap=\"Greys_r\")\n",
+    "ax1[0].imshow(grayScaler(sky), cmap=\"Greys_r\")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Guardamos la información de la imagen en blanco y negro en la variable `graySky`, y seleccionamos una porción del cielo que contenga varias estrellas brillantes. El objetivo es estudiar ocho estrellas aquí guardadas pues todas estarán sujetas a condiciones aproximadamente iguales. Las estrellas seleccionadas se guardan en la lista `stars`, de manera que el punto más brillante quede cerca del centro de la imagen.\n",
+    "\n",
+    "La porción de cielo escogida se muestra a continuación"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 132,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.image.AxesImage at 0x7fc7c5d7cc18>"
+      ]
+     },
+     "execution_count": 132,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 1008x288 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "graySky = grayScaler(sky)\n",
+    "portion = graySky[280:420,400:650]\n",
+    "stars=[portion[85:105,40:60],portion[20:30,73:85],\n",
+    "       portion[28:45,220:235],portion[114:123,218:226],\n",
+    "       portion[55:65,135:145],portion[70:80,135:145],\n",
+    "       portion[80:89,148:156],portion[42:50,161:170]]\n",
+    "\n",
+    "fig2, ax2= subplots(nrows=1, ncols=2,figsize=(14,4))\n",
+    "\n",
+    "ax2[0].title.set_text(\"Porción de cielo\")\n",
+    "ax2[1].title.set_text(\"Estrella ejemplo stars[2]\")\n",
+    "\n",
+    "ax2[0].imshow(portion, \"Greys_r\")\n",
+    "ax2[1].imshow(stars[2], \"Greys_r\")\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Ahora definimos la función Gaussiana que se busca ajustar, y la función que calcula los errores. La primera, `gauss`, toma de argumentos coordenadas $x$ y $y$, además de una tupla de `params` organizada de esta manera:\n",
+    "* ($x_0$, $y_0$, $s$, $c$)\n",
     "\n",
-    "ax2[0].title.set_text(\"Método sofisticado\")\n",
-    "ax2[1].title.set_text(\"Método sencillo\")\n",
+    "y retorna\n",
+    "$$\n",
+    "gauss = e^{-(x^2+y^2)/2s^2}+c.\n",
+    "$$\n",
+    "Notemos que la amplitud es siempre igual a 1. Esto se hace con la intención de normalizar los datos de la estrella, para reducir el número de parámetros de ajuste y facilitar la comparación de datos.\n",
+    "\n",
+    "La función `error` es sencilla, solo vale la pena mencionar que se debe reducir la dimensión del arreglo de errores con la función `flatten()`."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 102,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def gauss(params,x, y):\n",
+    "    x0,y0=params[1],params[0]\n",
+    "    dis=(x-x0)**2+(y-y0)**2\n",
+    "    return np.exp(-0.5*dis**2/params[2]**2)+params[3]\n",
+    "\n",
+    "def error(tpl, x,y, mat):\n",
+    "    er = gauss(tpl, x,y)-mat\n",
+    "    return er.flatten()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Ahora importamos la función `least_squares` de SciPy; esta es más recomendable que `leastsq` pues en funciona en casos más generales y complejos, además de ser una versión más reciente. \n",
+    "\n",
+    "Hacemos un bucle que itera sobre cada estrella en la lista `stars`. Los detalles del loop se dan en los comentarios; al final se obtiene una lista `best` con los resultados de la optimización de cada estrella."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 110,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from scipy.optimize import least_squares"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 135,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "results = []\n",
     "\n",
-    "ax2[1].imshow(grayScaler(sky, naive=True), cmap=\"Greys_r\")\n",
-    "ax2[0].imshow(grayScaler(sky), cmap=\"Greys_r\")"
+    "for item in stars:                                   # Iteramos sobre cada estrella.\n",
+    "    Y=np.arange(len(item[:,0]))\n",
+    "    X=np.arange(len(item[0,:]))                      # Definimos un meshgrid con las\n",
+    "                                                     # mismas dimensiones de la estrella\n",
+    "    X,Y=np.meshgrid(X,Y)                             # en cuestión.\n",
+    "    \n",
+    "    inix,iniy = np.where(item == np.amax(item))      # Calculamos el centro de la imagen \n",
+    "                                                     # para usar las coordenadas como centro\n",
+    "    p0 = (inix[0], iniy[0], 5.,0.1)                  # de la Gaussiana, y llenamos el vector \n",
+    "                                                     # de condiciones iniciales\n",
+    "    \n",
+    "    best = least_squares(error, p0, args = (X,Y, item/np.amax(item)))    # Le pasamos al optimizador los errores\n",
+    "                                                                         # comparando con los datos normalizados.\n",
+    "    results.append(best)"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Mostramos los resultados de la estrella `star[2]` como ejemplo: los contornos representan la función de mejor ajuste. Para comparar aplicamos a la función la inversa del parámetro de normalización."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 143,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 576x432 with 3 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "Y=np.arange(len(stars[2][:,0]))\n",
+    "X=np.arange(len(stars[2][0,:]))\n",
+    "\n",
+    "X,Y=np.meshgrid(X,Y)\n",
+    "\n",
+    "fig3, ax3= subplots(figsize=(8,6))\n",
+    "\n",
+    "im1 = ax3.imshow(stars[2], \"Greys_r\")\n",
+    "im2 = ax3.contour(X,Y, gauss(results[2].x, X,Y)*np.amax(stars[2]), cmap=\"summer_r\")\n",
+    "\n",
+    "cbar_im1 = colorbar(im1)\n",
+    "cbar_im2 = colorbar(im2)"
+   ]
+  },
+  {
+   "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": []
+  },
+  {
+   "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,
-- 
GitLab