{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pauta P1.1 Examen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.ndimage import binary_erosion, binary_dilation\n",
    "\n",
    "# Crear una imagen binaria de 12x12 píxeles\n",
    "image_12x12 = np.zeros((12, 12), dtype=np.uint8)\n",
    "\n",
    "# Diseñar las formas simplificadas manteniendo la morfología\n",
    "# Rectángulo izquierdo\n",
    "image_12x12[3:9, 1:5] = 1\n",
    "# Detalle interno en el rectángulo izquierdo\n",
    "image_12x12[5:6, 1:3] = 0\n",
    "# Rectángulo derecho\n",
    "image_12x12[3:9, 7:11] = 1\n",
    "# Detalle interno en el rectángulo derecho\n",
    "image_12x12[4:8, 10:11] = 0\n",
    "# Conexión horizontal\n",
    "image_12x12[5:6, 4:8] = 1\n",
    "# Pixel negro\n",
    "image_12x12[5:6, 8:9] = 0\n",
    "\n",
    "# Crear un kernel (estructura) de 2x2 para las operaciones\n",
    "kernel = np.ones((2, 2), dtype=np.uint8)\n",
    "\n",
    "# Operaciones morfológicas usando scipy.ndimage\n",
    "# Opening = Erosión seguida de dilatación\n",
    "eroded = binary_erosion(image_12x12, structure=kernel)\n",
    "opened = binary_dilation(eroded, structure=kernel)\n",
    "\n",
    "# Closing = Dilatación seguida de erosión\n",
    "dilated = binary_dilation(opened, structure=kernel)\n",
    "opened_closed = binary_erosion(dilated, structure=kernel)\n",
    "\n",
    "# Función para mostrar una imagen con cuadrícula\n",
    "def plot_with_grid(image, title, grid_color='black'):\n",
    "    fig, ax = plt.subplots(figsize=(6, 6))\n",
    "    ax.imshow(image, cmap='gray', interpolation='nearest')\n",
    "    ax.set_title(title, fontsize=16)\n",
    "    ax.set_xticks(np.arange(-0.5, image.shape[1], 1), minor=True)\n",
    "    ax.set_yticks(np.arange(-0.5, image.shape[0], 1), minor=True)\n",
    "    ax.grid(which='minor', color=grid_color, linestyle='-', linewidth=1)\n",
    "    ax.tick_params(which='minor', size=0)\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "    plt.show()\n",
    "\n",
    "# Visualizar imágenes\n",
    "plot_with_grid(image_12x12, \"Imagen Original\")\n",
    "plot_with_grid(eroded, \"Resultado de Erosión\")\n",
    "plot_with_grid(opened, \"Resultado de Opening\")\n",
    "plot_with_grid(dilated, \"Resultado de Dilatación\")\n",
    "plot_with_grid(opened_closed, \"Resultado de Opening + Closing\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "venv",
   "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": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}