diff --git a/.ipynb_checkpoints/ENTREGA-checkpoint.ipynb b/.ipynb_checkpoints/ENTREGA-checkpoint.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..7fec51502cbc3200b3d0ffc6bbba1fe85e197f3d --- /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.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..e27cb9d076462abd60f0d37bf802b5ce85c223b7 --- /dev/null +++ b/ENTREGA.ipynb @@ -0,0 +1,1010 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(789, 1184, 3)\n", + "[[[25 6 10]\n", + " [25 6 10]\n", + " [25 6 10]\n", + " ...\n", + " [31 15 18]\n", + " [36 20 23]\n", + " [39 23 26]]\n", + "\n", + " [[26 7 11]\n", + " [26 7 11]\n", + " [26 7 11]\n", + " ...\n", + " [32 16 19]\n", + " [36 20 21]\n", + " [38 22 23]]\n", + "\n", + " [[27 8 12]\n", + " [27 8 12]\n", + " [27 8 12]\n", + " ...\n", + " [33 17 20]\n", + " [36 20 21]\n", + " [37 21 22]]\n", + "\n", + " ...\n", + "\n", + " [[24 8 21]\n", + " [23 7 20]\n", + " [23 7 20]\n", + " ...\n", + " [10 3 10]\n", + " [12 5 12]\n", + " [14 7 14]]\n", + "\n", + " [[22 6 19]\n", + " [23 7 20]\n", + " [24 8 21]\n", + " ...\n", + " [12 5 12]\n", + " [12 5 12]\n", + " [12 5 13]]\n", + "\n", + " [[20 4 17]\n", + " [22 6 19]\n", + " [25 9 22]\n", + " ...\n", + " [14 7 15]\n", + " [13 6 14]\n", + " [10 3 11]]]\n" + ] + } + ], + "source": [ + "from PIL import Image\n", + "from numpy import asarray\n", + "import numpy as np\n", + "# load the image\n", + "image = Image.open('data/zapatocaImage.jpeg')\n", + "# convert image to numpy array\n", + "data = asarray(image) # abrimos la imagen en forma de array\n", + "# summarize shape\n", + "print(data.shape)\n", + "print(data)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "*R*,*G*,*B*" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from skimage import io, color\n", + "\n", + "lina_color = io.imread('data/zapatocaImage.jpeg')\n", + "lina_gray = color.rgb2gray(lina_color)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(789, 1184)\n" + ] + } + ], + "source": [ + "print(lina_gray.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[26 7 11]\n", + " [26 7 11]\n", + " [26 7 11]\n", + " ...\n", + " [32 16 19]\n", + " [36 20 21]\n", + " [38 22 23]]\n", + "[[0.04049373 0.04049373 0.04049373 ... 0.0730051 0.09261294 0.10437765]\n", + " [0.04441529 0.04441529 0.04441529 ... 0.07692667 0.09204745 0.09989059]\n", + " [0.04833686 0.04833686 0.04833686 ... 0.08084824 0.09204745 0.09596902]\n", + " ...\n", + " [0.04838157 0.04446 0.04446 ... 0.01957725 0.02742039 0.03526353]\n", + " [0.04053843 0.04446 0.04838157 ... 0.02742039 0.02742039 0.02770314]\n", + " [0.03269529 0.04053843 0.05230314 ... 0.03554627 0.03162471 0.01986 ]]\n" + ] + } + ], + "source": [ + "R = data[1][:][:]\n", + "\n", + "print(R)\n", + "print(lina_gray)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "b, g, r = data[:, :, 0], data[:, :, 1], data[:, :, 2] # For RGB image" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[25 25 25 ... 31 36 39]\n", + " [26 26 26 ... 32 36 38]\n", + " [27 27 27 ... 33 36 37]\n", + " ...\n", + " [24 23 23 ... 10 12 14]\n", + " [22 23 24 ... 12 12 12]\n", + " [20 22 25 ... 14 13 10]]\n" + ] + } + ], + "source": [ + "print(b)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "rgb= b*g*r" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[24.33333333 24.33333333 24.33333333 ... 43.33333333 55.\n", + " 62. ]\n", + " [26.66666667 26.66666667 26.66666667 ... 45.66666667 53.\n", + " 57.66666667]\n", + " [29. 29. 29. ... 48. 53.\n", + " 55.33333333]\n", + " ...\n", + " [37. 34.66666667 34.66666667 ... 16.33333333 21.\n", + " 25.66666667]\n", + " [32.33333333 34.66666667 37. ... 21. 21.\n", + " 22. ]\n", + " [27.66666667 32.33333333 39.33333333 ... 26.66666667 24.33333333\n", + " 17.33333333]]\n", + "(789, 1184)\n" + ] + } + ], + "source": [ + "np.max(rgb)\n", + "Grayscale = (r + g + b / 3)\n", + "print(Grayscale)\n", + "print(Grayscale.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "G=Grayscale/np.max(Grayscale)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0.07866273]\n", + "[0.04441529]\n" + ] + } + ], + "source": [ + "print(G[1,:1])\n", + "print(lina_gray[1,:1])" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f8415923a90>" + ] + }, + "execution_count": 11, + "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", + "\n", + "\n", + "plt.imshow(Grayscale, cmap=cm.gray, vmax=np.max(Grayscale))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(789, 1184)\n" + ] + }, + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f8415858e80>" + ] + }, + "execution_count": 12, + "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", + "\n", + "print(Grayscale.shape)\n", + "plt.imshow(lina_gray, cmap=cm.gray)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f84157cfb38>" + ] + }, + "execution_count": 13, + "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": [ + "estrella7 = Grayscale[457:470,315:335]\n", + "plt.imshow(estrella7, cmap=cm.gray, vmax=np.max(estrella7))" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f84157bc780>" + ] + }, + "execution_count": 14, + "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": [ + "estrella2 = Grayscale[542:570,650:680]\n", + "plt.imshow(estrella2, cmap=cm.gray, vmax=np.max(estrella2))" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f8415724198>" + ] + }, + "execution_count": 15, + "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": [ + "estrella3 = Grayscale[239:249,210:225]\n", + "plt.imshow(estrella3, cmap=cm.gray, vmax=np.max(estrella3))" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f841442e160>" + ] + }, + "execution_count": 16, + "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": [ + "estrella4 = Grayscale[310:325,620:640]\n", + "plt.imshow(estrella4, cmap=cm.gray, vmax=np.max(estrella4))" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f8415827a20>" + ] + }, + "execution_count": 17, + "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": [ + "estrella5 = Grayscale[370:385,440:460]\n", + "plt.imshow(estrella5, cmap=cm.gray, vmax=np.max(estrella5))" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f841436ce80>" + ] + }, + "execution_count": 18, + "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": [ + "estrella6 = Grayscale[140:155,388:398]\n", + "plt.imshow(estrella6, cmap=cm.gray, vmax=np.max(estrella6))" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f84142d3c18>" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQ0AAAD4CAYAAAD2OrMWAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAAQ4ElEQVR4nO3dfYwd1X3G8efxer022F7bBS8vXhVcARKFtiALkTSiUUmpcRFOpfxhlBQIkVDU0kKVKnKK1ET9q2na9BUlUKClLbJRCTRWBA0uIaoqFTfg2MbYJBiXYBsb2wR7Y+y1vebXP+7Yuiy763vOzJ2dNd+PtNr7MmfPzzP3Pp47d84cR4QAoFPTJrsAAFMLoQEgCaEBIAmhASAJoQEgyfQ6O+vv74+BgYHkdmW+4ZlK3w6VqdV2Vrtp0+r/f2MytslkrNsycust8+/cvn37/og493TL1RoaAwMDuu+++5LbDQ8PZ/c5MjKS1W4y3kzHjx/Pbtvb25vVrq+vL7vPnp6erHa526RM2/feey+7z6n0WijzGlqxYsVPOlmOjycAkhAaAJKUCg3bS23/yPY22yurKgpAc2WHhu0eSfdJulHS5ZJusX15VYUBaKYyexrXSNoWEdsj4pik1ZKWV1MWgKYqExoXStrRdn9n8RiAM1jXD4TavtP2C7ZfOHjwYLe7A9BlZUJjl6TBtvuLisfeJyIeiIglEbGkv7+/RHcAmqBMaPxA0iW2L7Y9Q9IKSWuqKQtAU2WfERoRI7bvkvRdST2SHo6IlyurDEAjlTqNPCKekvRURbUAmAI4IxRAEkIDQJJaR7nanpQRgznKjIrMlTtqVMofiZk7OlaSpk/Pe/mUWbdT6VIHZeSuozpet1PjHQygMQgNAEkIDQBJCA0ASQgNAEkIDQBJCA0ASQgNAEkIDQBJCA0ASQgNAEkIDQBJCA0ASWof5ZozqrLMSMwy84ZOJbnraDLWbZn5Rk+cOJHdNlfu6OPcUcASo1wBnEEIDQBJCA0AScrM5Tpo+znbW2y/bPvuKgsD0ExlDoSOSPpCRKy3PUfSi7bXRsSWimoD0EDZexoRsTsi1he3fyZpq5jLFTjjVXJMw/ZFkq6StK6KvweguUqHhu3Zkr4l6Z6IGBrj+VMTQB84cKBsdwAmWanQsN2rVmA8GhFPjLVM+wTQ8+bNK9MdgAYo8+2JJT0kaWtEfL26kgA0WZk9jV+V9DuSft32huJnWUV1AWioMrPG/7ckV1gLgCmAM0IBJCE0ACSpdWi8lD9Rcd39TcYE0GXWTe7w7TJD44eHh7PalblcQe6w+smY6Hqqbc9OsacBIAmhASAJoQEgCaEBIAmhASAJoQEgCaEBIAmhASAJoQEgCaEBIAmhASAJoQEgCaEBIEmto1ynTZum2bNnJ7d7++23s/s8evRoVrtzzz03u8/cEYp79uzJ7jP33zlr1qzsPo8dO5bVrszoz/7+/tr7zJ10eubMmdl95o5W3bdvX3afnWJPA0ASQgNAEkIDQJIqJkvqsf1D29+poiAAzVbFnsbdas3jCuBDoOwMa4sk/ZakB6spB0DTld3T+GtJX5RU/1V4AUyKMtMy3iRpb0S8eJrlmAAaOIOUnZbxZtuvS1qt1vSM/zp6ISaABs4s2aEREV+KiEURcZGkFZK+FxGfqawyAI3EeRoAklQy9iQivi/p+1X8LQDNxp4GgCSEBoAktU8AnTOxcs5w+pNyh0QfOXKk9j7L/Dtzh1JPtYmuc/+dtrP7PHz4cFa73MsVSNLcuXOz2pW5pEOn2NMAkITQAJCE0ACQhNAAkITQAJCE0ACQhNAAkITQAJCE0ACQhNAAkITQAJCE0ACQhNAAkKTWUa4jIyPau3dvcru+vr7sPs8666ysdkNDQ9l9Dg8PZ7et2/Hjx7PbnnfeeVnt9u/fn91n7qjcgYGB7D5zX39lXkOHDh3KajcyMpLdZ6fY0wCQhNAAkITQAJCk7LSM82w/bvsV21ttf6SqwgA0U9kDoX8j6T8i4lO2Z0jKO+oIYMrIDg3b/ZKuk3S7JEXEMUnHqikLQFOV+XhysaR9kv7R9g9tP2j77IrqAtBQZUJjuqSrJX0jIq6S9K6klaMXap8A+uDBgyW6A9AEZUJjp6SdEbGuuP+4WiHyPu0TQPf395foDkATlJkAeo+kHbYvKx66XtKWSqoC0Fhlvz35fUmPFt+cbJf02fIlAWiyUqERERskLammFABTAWeEAkhCaABIUuvQ+IjIGopdZvh27lDqEydOZPcZEVnt5s+fn93nlVdemdXu0ksvze5zcHAwq93atWuz+9yyJe9Ye+7E0ZJ0wQUXZLUrMwF0ziUkJGnfvn3ZfXaKPQ0ASQgNAEkIDQBJCA0ASQgNAEkIDQBJCA0ASQgNAEkIDQBJCA0ASQgNAEkIDQBJCA0ASWod5drT05M1knPPnj1dqGZiCxcuzG47c+bMrHa5oykl6dZbb81q99hjj2X3mXuh6GXLlmX3uXr16qx2R44cye4zd6R0mWvi5k5cPnfu3Ow+O8WeBoAkhAaAJIQGgCRlJ4D+Q9sv295se5XtvA/zAKaM7NCwfaGkP5C0JCKukNQjaUVVhQFoprIfT6ZLmmV7ulozxr9ZviQATVZmhrVdkv5C0huSdks6GBHPVFUYgGYq8/FkvqTlas0ef4Gks21/ZozlTk0AfeDAgexCATRDmY8nn5D0fxGxLyKOS3pC0kdHL9Q+AfS8efNKdAegCcqExhuSrrV9lm2rNQH01mrKAtBUZY5prJP0uKT1kl4q/tYDFdUFoKHKTgD9ZUlfrqgWAFMAZ4QCSEJoAEhS69B4KX+Yca7cIe5XXHFFdp+5E1aXmbz3ueeey2pXZjj+jh07stpt3rw5u8/169dnt831zjvv1NpOyn8NDQ0NZffZKfY0ACQhNAAkITQAJCE0ACQhNAAkITQAJCE0ACQhNAAkITQAJCE0ACQhNAAkITQAJCE0ACSpfZTrtGnpOTV79uzs/nIn0i0zGjd3pOGmTZuy+7z//vuz2g0ODmb3OTw8nNVu1apV2X3OmTMnq92CBQuy+zx69Git7STp0KFDWe327t2b3Wen2NMAkITQAJCE0ACQ5LShYfth23ttb257bIHttbZfLX7P726ZAJqikz2Nf5K0dNRjKyU9GxGXSHq2uA/gQ+C0oRER/yXpp6MeXi7pkeL2I5I+WW1ZAJoq95jGQETsLm7vkTRQUT0AGq70gdCICEkx3vNMAA2cWXJD4y3b50tS8XvcM0qYABo4s+SGxhpJtxW3b5P07WrKAdB0nXzlukrS/0i6zPZO25+T9GeSfsP2q5I+UdwH8CFw2rEnEXHLOE9dX3EtAKYAzggFkITQAJCk1qHxfX19Wrx4cXK7N998M7vP/fv3Z7UrMxlzrr6+vuy2vb29We1yJxouI/dyBZI0Y8aMrHZHjhzJ7jN3HfX392f3mdt21qxZ2X12ij0NAEkIDQBJCA0ASQgNAEkIDQBJCA0ASQgNAEkIDQBJCA0ASQgNAEkIDQBJCA0ASQgNAElqHeV6+PBhbdy4MbldzqTRJ9nOate6XnKeEydOZLfNlTsSs8wkxbkTc8+cOTO7z7lz52a1KzOCONe7776b3TZ3VG6Z122n2NMAkITQAJCE0ACQJHcC6K/ZfsX2JttP2p7X1SoBNEbuBNBrJV0REb8k6ceSvlRxXQAaKmsC6Ih4JiJGirvPS1rUhdoANFAVxzTukPR0BX8HwBRQKjRs3ytpRNKjEyxzagLooaGhMt0BaIDs0LB9u6SbJH06JjijpH0C6NwTcwA0R9YZobaXSvqipF+LiMPVlgSgyXIngP57SXMkrbW9wfY3u1wngIbInQD6oS7UAmAK4IxQAEkIDQBJah0abztrmHuZofG5yvQ5GfX29PRktSszAXRu2+nT8192uUP5R0ZGTr9QxY4dO5bdNnfd1jGhN3saAJIQGgCSEBoAkhAaAJIQGgCSEBoAkhAaAJIQGgCSEBoAkhAaAJIQGgCSEBoAkhAaAJLUOspVyhsBmjuCc7Lk1ltmdGxvb29WuzITI+eOOC2zPesYxTla7oTekzEReO7rIAV7GgCSEBoAkhAaAJJkTQDd9twXbIftc7pTHoCmyZ0AWrYHJd0g6Y2KawLQYFkTQBf+Sq0Jk8adXQ3AmSfrmIbt5ZJ2RcTGiusB0HDJ52nYPkvSH6v10aST5e+UdKckLVy4MLU7AA2Ts6fxC5IulrTR9uuSFklab/u8sRZunwC6v78/v1IAjZC8pxERL0k6tctQBMeSiNhfYV0AGip3AmgAH1K5E0C3P39RZdUAaDzOCAWQhNAAkMQR9Z2bZXufpJ+M8/Q5kpp0MLVp9UjNq4l6Jta0eqSJa/r5iDj3dH+g1tCYiO0XImLJZNdxUtPqkZpXE/VMrGn1SNXUxMcTAEkIDQBJmhQaD0x2AaM0rR6peTVRz8SaVo9UQU2NOaYBYGpo0p4GgCmA0ACQpPbQsL3U9o9sb7O9cozn+2w/Vjy/zvZFXaxl0PZztrfYftn23WMs83HbB21vKH7+pFv1tPX5uu2Xiv5eGON52/7bYh1tsn11F2u5rO3fvsH2kO17Ri3T1XU01iUnbS+wvdb2q8Xv+eO0va1Y5lXbt3Wxnq/ZfqXYHk/anjdO2wm3bcU1fcX2rrbtsmycthO+Jz8gImr7kdQj6TVJiyXNkLRR0uWjlvldSd8sbq+Q9FgX6zlf0tXF7TmSfjxGPR+X9J2a19Prks6Z4Pllkp6WZEnXSlpX4/bbo9ZJQLWtI0nXSbpa0ua2x/5c0sri9kpJXx2j3QJJ24vf84vb87tUzw2Sphe3vzpWPZ1s24pr+oqkP+pgm074nhz9U/eexjWStkXE9og4Jmm1pOWjllku6ZHi9uOSrrftbhQTEbsjYn1x+2eStkq6sBt9VWy5pH+OluclzbN9fg39Xi/ptYgY76zeroixLznZ/jp5RNInx2j6m5LWRsRPI+IdSWs1xvVuq6gnIp6JiJHi7vNqXWemNuOso0508p58n7pD40JJO9ru79QH36Snlik2wkFJP9ftwoqPQVdJWjfG0x+xvdH207Z/sdu1qHXd1Wdsv1hc+Wy0TtZjN6yQtGqc5+peRwMRsbu4vUfSwBjLTNZ6ukOtPcGxnG7bVu2u4iPTw+N8hEteRxwIlWR7tqRvSbonIoZGPb1erd3xX5b0d5L+vYaSPhYRV0u6UdLv2b6uhj4nZHuGpJsl/dsYT0/GOjolWvvZjTh3wPa9kkYkPTrOInVu22+odaW9X5G0W9JfVvFH6w6NXZIG2+4vKh4bcxnb0yX1S3q7WwXZ7lUrMB6NiCdGPx8RQxFxqLj9lKTebs/zEhG7it97JT2p1i5ku07WY9VulLQ+It4a/cRkrCNJb538SFb83jvGMrWuJ9u3S7pJ0qeLIPuADrZtZSLirYg4ERHvSfqHcfpKXkd1h8YPJF1i++Lif64VktaMWmaNpJNHuT8l6XvjbYCyimMlD0naGhFfH2eZ804eU7F9jVrrrJshdrbtOSdvq3WAbfREVWsk3Vp8i3KtpINtu+rdcovG+WhS9zoqtL9ObpP07TGW+a6kG2zPL3bNbygeq5ztpWpN6XFzRBweZ5lOtm2VNbUf5/rtcfrq5D35flUfxe3gKO8ytb6leE3SvcVjf6rWypakmWrtAm+T9L+SFnexlo+ptVu7SdKG4meZpM9L+nyxzF2SXlbrqPLzkj7a5fWzuOhrY9HvyXXUXpMl3Vesw5fUukZrN2s6W60Q6G97rLZ1pFZY7ZZ0XK3P3J9T6zjXs5JelfSfkhYUyy6R9GBb2zuK19I2SZ/tYj3b1Do2cPJ1dPIbwAskPTXRtu1iTf9SvD42qRUE54+uqbj/gffkRD+cRg4gCQdCASQhNAAkITQAJCE0ACQhNAAkITQAJCE0ACT5fyaiX3RnUagLAAAAAElFTkSuQmCC\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "estrella7 = Grayscale[516:531,648:664]\n", + "plt.imshow(estrella7, cmap=cm.gray, vmax=np.max(estrella7))" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f8414241ac8>" + ] + }, + "execution_count": 20, + "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": [ + "estrella8 = Grayscale[495:510,675:695]\n", + "plt.imshow(estrella8, cmap=cm.gray, vmax=np.max(estrella8))" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f841422ecc0>" + ] + }, + "execution_count": 21, + "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": [ + "estrella9 = Grayscale[516:531,658:675]\n", + "plt.imshow(estrella9, cmap=cm.gray, vmax=np.max(estrella9))" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f841419df28>" + ] + }, + "execution_count": 22, + "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": [ + "estrella9 = Grayscale[310:325,620:640]\n", + "plt.imshow(estrella9, cmap=cm.gray, vmax=np.max(estrella9))" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f8414112710>" + ] + }, + "execution_count": 23, + "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": [ + "estrella10 = Grayscale[370:385,445:465]\n", + "plt.imshow(estrella10, cmap=cm.gray, vmax=np.max(estrella10))" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy.optimize import leastsq " + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'\\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, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'''\n", + "def 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", + "\n", + "def 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", + "'''\n" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [], + "source": [ + "def func_gauss(params,x):\n", + " #params[0]= sigma\n", + " #params[1] = x0\n", + " #numpy.pi = numero pi\n", + " y = (1/(params[0]*np.sqrt(2*np.pi)))*(np.exp((-(x-params[1])**2)/(2*params[0]**2)))\n", + " return y" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "def Error_min_cuadra(tpl,x,y):\n", + " return func_gauss(tpl,x)-y" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [], + "source": [ + "x = np.arange(0,20,0.1)\n", + "#print(x)\n", + "np.random.seed(1)\n", + "ruido = np.random.normal(0,0.3,200)\n", + "#print(ruido)\n", + "\n", + "params = [1,10] \n", + "y = func_gauss(params,x)\n", + " \n", + "y_ruido = y + ruido\n", + "\n", + "#print(y)" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0.96733251 9.79457362]\n" + ] + } + ], + "source": [ + "p1 = [0.5,4]\n", + "best,suss = leastsq(Error_min_cuadra, p1, args=(x,y_ruido))\n", + "print(best)" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.lines.Line2D at 0x7f840a500b00>" + ] + }, + "execution_count": 76, + "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": [ + "ymodel = func_gauss(best,x)\n", + "plt.plot(x,ymodel)\n", + "plt.plot(x,y,'o',color=\"darkorange\")\n", + "#plt.plot(x,ymodel - y_ruido,'--r')\n", + "plt.axhline(y=0,color=\"gray\")" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(23, 25)\n" + ] + }, + { + "data": { + "text/plain": [ + "25" + ] + }, + "execution_count": 123, + "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": [ + "estrella2 = Grayscale[542:565,650:675]\n", + "plt.imshow(estrella2, cmap=cm.gray, vmax=np.max(estrella2))\n", + "print(estrella2.shape)\n", + "estrella2.shape[1]" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "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 17 18 19 20 21 22]\n", + "(23,)\n", + "(23,)\n" + ] + }, + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x7f8409d60a20>]" + ] + }, + "execution_count": 126, + "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, estrella2.shape[0], 1)\n", + "y = np.arange(0, estrella2.shape[1], 1)\n", + "print(x)\n", + "#print(y)\n", + "\n", + "lumx = estrella2[:,0]\n", + "print(lum.shape)\n", + "print(x.shape)\n", + "\n", + "plt.plot(x,lumx,'o',color=\"darkorange\")" + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "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 17 18 19 20 21 22]\n", + "(23,)\n", + "(23,)\n" + ] + }, + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x7f8409825828>]" + ] + }, + "execution_count": 129, + "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, estrella2.shape[0], 1)\n", + "y = np.arange(0, estrella2.shape[1], 1)\n", + "print(x)\n", + "#print(y)\n", + "\n", + "lumy = estrella2[0,:]\n", + "print(lum.shape)\n", + "print(x.shape)\n", + "\n", + "plt.plot(y,lumy,'o',color=\"darkorange\")" + ] + }, + { + "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 +}