{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x500 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_dilation\n",
    "\n",
    "# 创建一个9x10的零矩阵\n",
    "BW = np.zeros((9, 10))\n",
    "\n",
    "# 将4:6行，4:7列的元素设置为1\n",
    "BW[3:6, 3:7] = 1\n",
    "\n",
    "# 显示原始图像\n",
    "plt.figure(figsize=(6, 5))\n",
    "plt.imshow(BW, cmap='gray', interpolation='nearest')\n",
    "plt.title('Original Image')\n",
    "plt.axis('off')\n",
    "\n",
    "# 创建一个3x3的结构元素\n",
    "se = np.ones((3, 3))\n",
    "\n",
    "# 执行膨胀操作\n",
    "BW2 = binary_dilation(BW, structure=se)\n",
    "\n",
    "# 显示膨胀后的图像\n",
    "plt.figure(figsize=(6, 5))\n",
    "plt.imshow(BW2, cmap='gray', interpolation='nearest')\n",
    "plt.title('Dilated Image')\n",
    "plt.axis('off')\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/vt/y33_pq896rz19_p09n4lbn8w0000gn/T/ipykernel_78033/1357382760.py:1: DeprecationWarning: Please use `generate_binary_structure` from the `scipy.ndimage` namespace, the `scipy.ndimage.morphology` namespace is deprecated.\n",
      "  from scipy.ndimage.morphology import generate_binary_structure\n"
     ]
    },
    {
     "data": {
      "image/png": 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QjvgBUI74AVCO+AFQjvgBUE7boV4Arw+tVutQLwHgoHHlB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A54gdAOeIHQDniB0A5bUOd2DTNq7kOAHjNuPIDoBzxA6Ac8QOgHPEDoBzxA6Ac8QOgHPEDoBzxA6Ac8QOgnP8BlXQ8eADIUb8AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.ndimage.morphology import generate_binary_structure\n",
    "\n",
    "# 创建一个9x10的零矩阵\n",
    "BW = np.zeros((9, 10))\n",
    "\n",
    "# 将4:6行，4:7列的元素设置为1\n",
    "BW[3:6, 3:7] = 1\n",
    "\n",
    "# 显示原始图像\n",
    "plt.figure(figsize=(6, 5))\n",
    "plt.imshow(BW, cmap='gray', interpolation='nearest')\n",
    "plt.title('Original Image')\n",
    "plt.axis('off')\n",
    "\n",
    "# 创建一个3x3的线形结构元素\n",
    "se = generate_binary_structure(2, 1).astype(int)\n",
    "\n",
    "# 执行膨胀操作\n",
    "BW2 = binary_dilation(BW, structure=se)\n",
    "\n",
    "# 显示膨胀后的图像\n",
    "plt.figure(figsize=(6, 5))\n",
    "plt.imshow(BW2, cmap='gray', interpolation='nearest')\n",
    "plt.title('Dilated Image')\n",
    "plt.axis('off')\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/vt/y33_pq896rz19_p09n4lbn8w0000gn/T/ipykernel_78033/2398849774.py:1: DeprecationWarning: Please use `binary_erosion` from the `scipy.ndimage` namespace, the `scipy.ndimage.morphology` namespace is deprecated.\n",
      "  from scipy.ndimage.morphology import binary_erosion\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6rSagGyofxjOzqbXrKe1z2gsMxiz8oBvKv6zXtFce75WfKGjjV1ug6NUnFkphUfWYRfvnio5ZaA/SIV3/qlEYo06MUQAAnPA2PbYJNch+50ptsZiQ8w7XHCHJeq95W3DnKmCEcOOFcIwhKZOeVQcZrj2agK4nAICV9y08qHGhSnWsRAdiR4sC0fL9aN6Qx1KAPJw/MxvQhmABlEOLAgBg5SxQFH04PVAF360K8j5iVihQcFMgRIxZAMUUnvXEXjDQro6Cm+dmI0aMUQAArEqto6CpjSqR34B6BPXMbDQTAQKoF11PAAArAgUAwIpAAdXodgLqR6AAAFgRKAAAVgQKAIAVgQIAYOU8UDD4CABxoUUBALByHijY2Awohu3KoRVdT4Ay3EPQhq4nAICVl0BBjQgoh3sImnhrUdDfCpTDPQQtvHc9kdGBcriHUDfGKAAAVpU8uIjnayMPatBMM49BTOVeZU+4S27+WBIObhAU0sVUyDRVTNev8kehdt8A7QVFnoRNK2BiujBN0Wq1CBYpyMvQhDEKAIBVZS2KXjWkojUnalzxSK4lLQtAJ1oUUIPgD+hEoAAAWBEooAqtCkAfb2MU3PBAcUyPhSbs9QRVyDPP4x6CFnQ9AQCs2BQQUI57CHWrpEVBRgfK4R5CndjrCQiEhnuo19Y5WbfU6bWFD+WCboxRAACsWiZjm7bXRn6FfjTS2kPMUxp9nRtdKtnEmq9CE9tmpFnvP2ddT3n26+l+j++Etv1elgLQtsNt93e3N6XTPpfW1O6VZq73QMpznra/9zouW1cDASGfkAufmDU1L9P1BACwKtX11Ou1mLtgUE4Ta2NFcQ/pFUsXVNb7sVSLon3laKvVIkigL/JGdqzM1isp79r16oaOgZOup6JPqUMzkUfyianAiY0tWMSUzxmjAABYOQsUNJORR1rTHb1xb4UjxrKwspXZQJqmTjcsIks6pXWFFA3IebtR+k2fLqqKCkWZKfu9zjem8VrnC+5iSZiY5ZmxQSGuR1qBVOUapKy/1Wubjnbt59KvslBVmeJiJlPVa8TKqmTWEwAgfkG3KFzUrNJqAFpq0a6b8K5+I08aaUrPWPRa9e9T3s37srQqku9rf6+GsqVsl1FIM58y38faA0Wvply/w85aQGV5X5HtN8ock6vP+fwNgkW9bHnSl7JjFt3f0f5dvba+SXtvKEIYo6DrCQDgRLAtin7H0f5eX62Pot02eT9T5nN5f8PXuVRx/E1UdTdUVYPbvd6X53fRX7RdT92/46t7Ket3xdYNxZhFeMoGi6zdV3nu+37v7Tdm0e99ab/ZLYSun7pFHyjyHFPyXo1jFnk/k/UYy2LMojnSavOx8N0qsQXoENKTMQoAgBNBtyi6f89V91JWdXdDlVVnbYcWRW+upmb6+P5Q5V1kWiSNQmhBdMt6Hzp/wl3V0rp/+h2Ly2Pt9V15fyO0DFZW0aAKuyyVjiqn1GpRZXdtjOnqpEXhM2HytCgQNgLG88rm6zzjRU3jO1CGFIgZowAAOFGoRVGlWFZpIhtaFc9zkb8Zs0jXr4vIRasghG4oWhQIkvYbq0rGlH+uQdatNpoWoKvIZzHlZQIFAMAq6AcXhdC0Q35s99EpSz53kVZVTlJxLUmjkAaSQxJ0oACaouqgGUpB254uLtMolPOvCl1PUIubtT6htOZarfqfvd6EMR4CBQDASnWgiD1KA5qFdP/V3aoQCSu98lIdKADUK6RuFR87wuZ9byhplReBAkBfoRSAjFn4QaAAAFgRKABkUrSW7LJ2ndTWtdTYkxZM3a0Y31hHASjU72lpLp+p4puvsQNtCwRjfnIjLQoAgBUtCiCFr21Eij7Xpftvro4vpG1w+tXYbc+vzvs7ZT4bY6uCFgVUq3N7ex+FaHv/elr3Ut5CxtVW5KEUbiEEtRjHLAgUUK/OG89Xjbs9WKQFjDzqWD9QJ1f5wUWADCXNyiJQAACsgg8UITWbUU7drQof3VAJF60KLbXs0JQ539i6mHpR/SjUuprg0K+uwszXYGXRQe5uPgffNep1vkXSTPu5+pA1v0Q166nJF7xp6ppdkvabvQr5LA8bSntPcm5lWxl5VXnfaHqWd5LermZNxSj4ricAgF9RtSgSIc0NR3HdrQoN1zzPMeRZN9H+WgxjCD5WmZcR6/oHV1QFirIXylU/b9XKBraQztW1Jp1rIrZCTcv5xBSIXaPrCQBgVcusp5gG5YA6xTbLKW9XootZT02WNf/U0qLwvdKWpiOawucWI3WggNep1q4nggVQns8tRuoQ415JoWOMAgBgVXug8N2qoGUBFMO9g4SK6bG+p6WxrsKNUFe+97v+tr93n7Mtj/b7jbT39Fvp3e/7XNB2PUPNZzFTsddTVTWXKjJeaJk8a8HnauO0Ils3hJamVXK59sgXn4simfVUjupZTwCAcHjverKtGvbVkqi6NpF2Hv3OLctqVE0Pvnd1LEW+h9phb1pWNdtoPUZaqtkF3/UUy0XWEDQQrqL3kMZ8lacAL9P1pG2fsDrQ9QQAcKIRs55C0K95nnXWTFNrRk1X5B7Smlfqekia1vTQQEWgSGjty6xKlpu9X/qQ4Zut6fdQHt3jpYxZ9Kau64mLVD4NWGjYbFnzD3nkedqej6GNukABANBFZaBgUzA3LStqRkB2lDu9qRqjiFldhXZM0yaBKpD3pyJQeBRyjb7Iscc8ey1P4RHKthLajgd6qex6AgDoQYuigBhrzC7EnC55pk7G3LKKCdNhs6NFkQPTTpEHBZBuyeA193R/BAoAgBWBAsghb+2TKZf5VdVyT36HVkV/QY9RcAOiDkX6tsmr+rSPJbUHC67VVLQogIKohYatu0VRZMyiKXmAQAEAsAq66wn+NKn5necBNt01SHbrza9fmlWxqWH7Z9PGKYo8PCnmfBBsoIj5ovhEuk2Vd6whLVj0+z4CSqe6C9e0wFB2/UvM1zjYQKGRLZP0K0x4HGw4+hUodReCIbEVrllaHrZrkDf9269b8v/zfk/3+2MJHoxRAACsCBQOZJkrn/y913tjqHU0TZHxDE20HE9aOrXX6LN+Ls/f8/wtbzp1rwOJYUeHYANFiAmfJZjkDRgEmHplCRaaCw0tx2JLlzJp5iq9i3yP9opCHsEGCgBANYIOFCFHaBtaCWEp0hLUlHc1tXLKdDUV/d4i31M0zTSldR4tk/Go6yi88iRoFcfX73hcH0OW8yeo6FHmYU+uaX2yYYiFpC8a7t2s1yOa6bGxTENDs7iaSuu6xgz/tAbzNEF3PQEA/IumRSGSbysGX7/v8nezrBT13ZLSVsOMtdWoLZ0Rriw7BeSlLlDQhNbBdX+76+saa8AAyvLxfA0VgYJCvRou0zlvZnS5ZYnt8wQQxC5LL4Lr57YzRgEAsPLSoqCFoIuv61Gm1mLbYTW0/BPa8SJ8WccmXbWwaVEEro6ulu7fbA8YLnbB5TnTQH9VLt4jUAAArJx0PdH0bpa0Zq+PFkCI3VCAK93PtaiTk0DBDX2GxrUbZa9L3V1A5C2EzNX9U/d94Gww2/V0rJDUWZjWXZBXocl5KxSaar+xKnIfuFqQyxgFAMDK+fTYuptIVWpCbR79FckHMd8jGsoAV63QMufiq3yoI31VrMzWIEs/f5MCQ5POtQ4aClNXej3aV8P5FQ0Y7eek5VzaVX1MBIoMNBeaLjcF1HyeMdJYALmkaWypbFprOpcEC+4AAGoQKCTsmnTWzcGgUxNWoWs5PxdpreVcqkagABSIvQCqKiBm+R3fwSLG4E+gAABYMZgdOU2Db2iuqvJhVTMUm7bAkBZF4JqQSavcJRN+aOp6St5X9W+GjEABoDK+C9Q8lQrXBXzMwYJAAQCwIlBAvSY07ZvCdxdikbxCq6I/AgWAxou1gHeFQBG42BfcJX3OTRjMbkLLSfP5NSH9iyJQAACsCBSRa0JNHHCJVsVUBAoAaEPlaioCBQDAii08oFbTanZNON8mnGOMaFEASjDrBloRKAIXcw2NQhPQgUABALAiUEA1WhVx4XqGiUARuRhuTPrugXoRKABUJuYxtZgRKAAAVo1fRxF7l0YMNbgYzgEIWeNbFBRC9SL9oU3slcciGh8oAAB2BArUitoboB+BAgDa0B06FYECANrQyp2KQAEAsCJQQD1WZgPFuOpGI1BAPWMM/caRCCHgx5TXXKV34wNFCBm3n5gyNuIWQl6NoUxwrfGBAgBgR6CIQKvVctI9E0JtD2Gjth4mAkUkkgHfMoW9xpuY4BWXEK5nCMdYNQIFAMCq8YEittqDq24oLTS2cnyJ6bohLmwzHmFBlJwThU5YuG7QqvGBImZlxyzqEuIxI5tQ82TTNb7rCQBg1/hAQe0GiIOrbuQYu6PLanyggD7s7YQiqPT5Q6CIQKw3CMECeZBf/CFQAACsmPWkWJ6WQvLe7lpViLNMQjteIHaNb1HE1lztLmQpdAGU1fhAAQCwa3ygiLHGHfpWEMx6AnRpfKDQrGyBGXKwEImvWxAIVeMDhebCKGvLwNU5hB5YAPjR+EABALAjUCiWp+vJVb9+6OMbISPtyyHt/CFQREZzV1pe3Pjx4ZqGqfGBQnPGLVrDZNZQmLhu5ZB2/jQ+UAAA7AgUEQt9ai01REAH53s9aShgUJy2wjnEvaqA2NCiAABYOQ8U2mqk/YR2vD6RFvVieiy0okUROAp3AL7xPAqoRe0a0IEWBQDAikABtehWA3RwHijoLnAny0rd2NObYAHUr/GznkJHegPwja4nAIBV4wNF6F03Lo9fQ1okawk0HAuAMxofKGLouom1UI31vIDQND5QAADsmPUUibTumhiuRQznAISu8bOeNBdERfrq298f2rVoOh5cBK3YwiNwadtwaw5+/ZTZVjz0Qjbk64a4MUYBALBijEKxrF0RrmrS1MgB8lGaxo9RxIL+bfJe07kq4MlHUzW+6ym2TBHa+bDADq7kyfvkt3waHygAAHaMUQQuLb1D6oZqP86yLQvyHvKgJZsdYxQR6JXZ816Lum6akAIb4tBdQYEdXU8AACsCRSRi2MKjbKuCVgnyaG/JhnavVI1AEZkyW3hoKGg1HAOapT1YEDDSESgUK5pxQ8/wjFmgakXG80K+x/IiUAAArAgUimWpWdv+HnqNh1YFqpSnJdu0Vi+BInDGGGcZNvTAAsAPAkUEkmDhImBo63ttUq0tNE2rVWtVxf1KoAAAWLGFRySSloCGbijyAJpCS1733RNAi0Kxoo9CddkNVUTylDotNxHco8vpDA15vYrtSAgUAAAr58/MLvPMY3TKur1Ad5on/9/FtWj/rjzaj53aZ3i4ZtlpyOvdq8tdH4fzQBGKEG6EPIV8WlBxGbCzfFdamibBqmh6N6nS0SuNqkyDEO4LrcrmdZfHULSC1/N7TcZcWPYH67jhY8n0eQtp7YVr1uuS9zxiud5pqrimVaSfz/OI+frnlTVQZL0ejFEAAKwqa1EkYqkZVaFIWlXRssjSRVLmGpQ57liufRof17Pq9IqlReG6a6eMKrp2Kw8UIv6DhYaL50KZ6al5v0NjmhEw0rm6f+pIo1gCRaLuMYnkGBK+nmpZS9eT76X/2vvofcszr1vzNgx1tUq003q9mqR9dlHd6yjasY4CAFCLWgMFrQq/sqSBptpQmrKtCs3nVobmlmATJOnfvhOClrzm4zhqX0fhM4E1DTh1s52zpkynQdoakbRr2ivNNPQjI7sqJmS4yhPt92pd6yjSygvXZR9dTwAAq1pmPfUS2oyILLWHUFoGodS4i9SUuq9BnqcCZvmd7pZOngWSTVuImmU7mryfsX02y7G4nPpf932UN/+qnh5rE0rBGpu6M7hvLqYau/5uF4oUrHVPi7UF0zKP9i2zliDWYBHtyuy6ExlhqGp7j6ytg7rybdrxhXAP9UqzfmN3NnnyRFrgcjH5QUPa+zgGdYECAKALgQLBKtKqKFLbCnF1e69z1XSMIsW3r3fxu2V2WdU09bpXq9LltQ4mUGjL4NChyA1bNFgU3WrdtzLdNVWxFVxFgoWL3ay71z8U+V5NwcLnsagMFGkXTMMgEfSq6obtNV+9XR1jFraCQtviPG1p1j1GkTcvaW9duKAyUAAA9FA3PbadbUaHlggeOk01TWRXpLtJw04FRdapZP2uPN+bdhwuppVqKyeLfDZN7Vt45FX3cvk0oQYtDWmHYmwVpn73hYaAkUg7VhfHl7dsaH9/2UHuhIaAzBYeAIBKBNf11E5DjagXja0MzemF4srktToGkG3HkaVrKs/59uuGK/odmqZMV7FIMegWhcbCOKGxUNacXijOVz9/lXrNHCp7fGnfW2RWU5nfj0HQgUJE19S0bgQLVKXM9FLN95CIm+NzGXBCnj5bVPCBAgDgV9BjFN001uATGmsUmtMLxWjd1E5j/q+byx1ri/5GtNNjbTRN++uW9TkFVdIyvTg2PrbQroqW42iCsgPiVV4rlYHCd39k2uMLm8rlAqim65ePmpzPkF+/e7H9777zFmMUAAArFWMU1LT069fyqmoFK3kFTZNnS5a8PQSZu780BAoAQPUaseAOAOAfgQIAYJV51hN9wwDQTLQoAABWBAoAgBWBAgBgRaAAAFgRKAAAVgQKAIAVgQIAYEWgAABYESgAAFb/B/6tvQjxlmuQAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.ndimage.morphology import binary_erosion\n",
    "\n",
    "from PIL import Image\n",
    "\n",
    "# 打开图片文件\n",
    "img = Image.open('circbw.tif').convert('L')\n",
    "\n",
    "# 转换为NumPy数组\n",
    "BW1 = np.array(img)\n",
    "\n",
    "# 创建一个5x5的任意结构元素，这里使用单位矩阵作为示例\n",
    "se = np.eye(5).astype(int)\n",
    "\n",
    "# 执行侵蚀操作\n",
    "BW2 = binary_erosion(BW1, structure=se)\n",
    "\n",
    "# 显示原始图像\n",
    "plt.figure(figsize=(6, 5))\n",
    "plt.imshow(BW1, cmap='gray', interpolation='nearest')\n",
    "plt.title('Original Image')\n",
    "plt.axis('off')\n",
    "\n",
    "# 显示侵蚀后的图像\n",
    "plt.figure(figsize=(6, 5))\n",
    "plt.imshow(BW2, cmap='gray', interpolation='nearest')\n",
    "plt.title('Eroded Image')\n",
    "plt.axis('off')\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/vt/y33_pq896rz19_p09n4lbn8w0000gn/T/ipykernel_74987/3812917549.py:1: DeprecationWarning: Please use `binary_erosion` from the `scipy.ndimage` namespace, the `scipy.ndimage.morphology` namespace is deprecated.\n",
      "  from scipy.ndimage.morphology import binary_erosion\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.ndimage.morphology import binary_erosion\n",
    "\n",
    "from PIL import Image\n",
    "\n",
    "# 打开图片文件\n",
    "img = Image.open('text.png').convert('L')\n",
    "\n",
    "# 转换为NumPy数组\n",
    "BW1 = np.array(img)\n",
    "\n",
    "# 创建一个5x5的任意结构元素，这里使用单位矩阵作为示例\n",
    "se = np.eye(5).astype(int)\n",
    "\n",
    "# 执行侵蚀操作\n",
    "BW2 = binary_erosion(BW1, structure=se)\n",
    "\n",
    "# 显示原始图像\n",
    "plt.figure(figsize=(6, 5))\n",
    "plt.imshow(BW1, cmap='gray', interpolation='nearest')\n",
    "plt.title('Original Image')\n",
    "plt.axis('off')\n",
    "\n",
    "# 显示侵蚀后的图像\n",
    "plt.figure(figsize=(6, 5))\n",
    "plt.imshow(BW2, cmap='gray', interpolation='nearest')\n",
    "plt.title('Eroded Image')\n",
    "plt.axis('off')\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from skimage import morphology\n",
    "import numpy as np\n",
    "import os\n",
    "import matplotlib.pyplot as plt\n",
    "from PIL import Image\n",
    "\n",
    "# 定义图片处理函数\n",
    "def process_image(image_path):\n",
    "    BW = np.array(Image.open(image_path).convert('L'))\n",
    "    skel = morphology.thin(BW)\n",
    "    return skel\n",
    "\n",
    "# 获取 '2-5-4' 目录下所有 .png 图片文件的路径\n",
    "directory = \"2-5-4\"\n",
    "image_extensions = ['.png']\n",
    "image_files = [os.path.join(directory, f) for f in os.listdir(directory) if os.path.isfile(os.path.join(directory, f)) and f.endswith(tuple(image_extensions))]\n",
    "\n",
    "# 遍历图片文件，处理并显示结果\n",
    "for image_file in image_files:\n",
    "    skel = process_image(image_file)\n",
    "    \n",
    "    # 显示骨架图像\n",
    "    plt.imshow(skel, cmap='gray')\n",
    "    plt.title(os.path.basename(image_file))\n",
    "    plt.show()"
   ]
  }
 ],
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