{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "afb9e16d-6567-40bc-b5ea-4ad9f52b619a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import imageio.v3 as imageio\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import skimage.morphology"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ccbb273c-835b-4c24-8cc6-458065dadfa0",
   "metadata": {},
   "outputs": [],
   "source": [
    "img = (imageio.imread('morph.png')[..., 0] > 127).astype(np.uint8)\n",
    "star = (imageio.imread('star.png')[..., 0] > 127).astype(np.uint8)\n",
    "sketch = (imageio.imread('sketch.png')[..., 0] < 127).astype(np.uint8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a76e2257-9242-4ef7-86dc-fa9c6487c680",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1200ce090>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(img, cmap='grey')\n",
    "# plt.imshow(star, cmap='grey')\n",
    "# plt.imshow(sketch, cmap='grey')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f3315c4a-14a9-4263-999f-5aeed0956bd0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12024ead0>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(star, cmap='grey')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "bfef4d63-fd08-4778-9162-f3777810c29e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x120408650>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dilated_star = skimage.morphology.binary_dilation(star, skimage.morphology.disk(2))\n",
    "plt.imshow(dilated_star, cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "69eac32a-f782-4506-84fe-fb3ea50f1caf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1201ce890>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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7wkQNU+vjWPvfiyLtc5Ptd/RxkgfQ2bNn5c0335Tly5eHLa+rq5Njx45Jc3OztLW1SXd3t1RVVcVjWwEAqcSJQX9/v7N06VLn+PHjzpNPPuls27bNLg8EAk5GRobT3Nwcuu+lS5fMnxSO3++/o+cOBoP2/jS9Fivt7U6mRh/Tx+KBZj7Po4lpBGSm2J5++mmpqKgIW97e3i4jIyNhy0tLS6WkpET8fv+EzzU0NCR9fX1hDQCQ+mZP9QFNTU3y6aef2im4W/X09EhmZqbk5uaGLS8oKLDrJtLY2CivvPLKVDcDAJDkpjQC6urqkm3btskf/vAHueuuu+KyAQ0NDRIMBkPNvAYAIPVNKYDMFNv169flkUcekdmzZ9tmCg327dtnfzYjneHhYQkEAmGPM1VwhYWFEz6nz+eT7OzssAYASH1TmoJbu3atXLhwIWzZ888/b4/z/PKXv5Ti4mLJyMiQ1tZWW35tdHR0SGdnp5SXl8d3ywGXS0RJb7TnpOQdKR1A8+bNk2XLloUtmzt3rj3nZ3z55s2bpb6+XvLy8uxoZuvWrTZ8Vq9eHd8tBwB4qwhhMnv37pX09HQ7AjIVbpWVlXLgwIF4vwwAIMmlfVP37hqmDDsnJ0d7Mzwt1l2CKaBwM/3Wov/DsR/rM4Vl0Y7rcy04AIAKAggAoIIAAgCkRhECkGoScSwn1uMM0bYllu3keAc0MQICAKgggAAAKgggAIAKAggAoIIAAgCoIIAAACoow/YoLlOS+HLrRPRVtOeMZftT+erasfZVKveJ2zACAgCoIIAAACoIIACACgIIAKCCAAIAqKAKDp6SyhfsjGU7431x01i3A97ECAgAoIIAAgCoIIAAACoIIACACgIIAKCCAAIAqKAMG0kp3hcO9Wr5cLwvbjrZ47zYx4iMERAAQAUBBABQQQABAFQQQAAAFQQQAEAFAQQAUEEZdgpL9qsZU2qtK9a+ivUK2zP5fxNr+XmkdexXsWEEBABQQQABAFQQQAAAFQQQAEAFAQQAUEEAAQBUUIaNhKOc2lviXeIc62vB/RgBAQBUEEAAABUEEABABQEEAFBBAAEAVBBAAAAVlGHDteXWlNimnlhLtGN5DPuP+zECAgCoIIAAACoIIACACgIIAKCCAAIAqCCAAAAqKMPGlHDFYiRKLPtJrFfXjvZasZSKUw4eG0ZAAAAVBBAAQAUBBABQQQABAFQQQAAA9wfQyy+/bCs6bm6lpaWh9YODg1JbWyv5+fmSlZUl1dXV0tvbm4jtBgB4rQz74Ycflr/97W//e4LZ/3uKuro6+fOf/yzNzc2Sk5MjW7ZskaqqKvn444/jt8VI+JWHY72qNeWmSPV9PJbtQBwDyAROYWHhbcuDwaD87ne/kyNHjsiaNWvsskOHDsmDDz4op0+fltWrV0/1pQAAKWzKx4AuX74sRUVFcu+998pzzz0nnZ2ddnl7e7uMjIxIRUVF6L5meq6kpET8fn/E5xsaGpK+vr6wBgBIfVMKoFWrVsnhw4flgw8+kIMHD8rVq1fliSeekP7+funp6ZHMzEzJzc0Ne0xBQYFdF0ljY6OdrhtvxcXFsf82AIDUnIJbt25d6Ofly5fbQFq8eLG8/fbbMmfOnJg2oKGhQerr60O3zQiIEAKA1DetMmwz2rn//vvlypUr9rjQ8PCwBAKBsPuYKriJjhmN8/l8kp2dHdYAAKlvWgF048YN+fLLL2XhwoVSVlYmGRkZ0traGlrf0dFhjxGVl5fHY1sRR7eW09/cEvE4YKYlYl9l31ecgvvFL34h69evt9Nu3d3dsmvXLpk1a5Y8++yz9vjN5s2b7XRaXl6eHcls3brVhg8VcACAaQXQv/71Lxs2//73v2XBggXyve99z5ZYm5+NvXv3Snp6uj0B1VS3VVZWyoEDB6byEgAAj0hz4n1G1jSZIgQzmoIevtsEqY6TrWeGOT802nF9rgUHAFBBAAEAVBBAAIDkuBYcUh/z3Eh17OPuwAgIAKCCAAIAqCCAAAAqCCAAgAoCCACgggACAKgggAAAKgggAIAKAggAoIIAAgCoIIAAACoIIACACtcFkMu+Hw8AkKDPc9cFUH9/v/YmAABm4PPcdV/JPTY2Jt3d3TJv3jx7yXTzFd3FxcXS1dUV9atdvYL+uB19Eo7+uB19MrP9YWLFhE9RUZGkp6cnz/cBmY1dtGjRbctNJ7Hj/A/9cTv6JBz9cTv6ZOb6IycnZ9L7uG4KDgDgDQQQAECF6wPI5/PJrl277L+gPyZCn4SjP25Hn7izP1xXhAAA8AbXj4AAAKmJAAIAqCCAAAAqCCAAgApXB9D+/fvlO9/5jtx1112yatUq+eSTT8QrTp06JevXr7dnEpsrQrzzzjth603tyM6dO2XhwoUyZ84cqaiokMuXL0uqamxslMcee8xeIeOee+6RjRs3SkdHR9h9BgcHpba2VvLz8yUrK0uqq6ult7dXUtHBgwdl+fLloRMJy8vL5f333/dkX0xk9+7d9n2zfft2z/bJyy+/bPvg5lZaWuqq/nBtAP3xj3+U+vp6Wyr46aefyooVK6SyslKuX78uXjAwMGB/ZxPCE3n11Vdl37598sYbb8iZM2dk7ty5tn/MTpWK2tra7Jvl9OnTcvz4cRkZGZGnnnrK9tO4uro6OXbsmDQ3N9v7m0s6VVVVqW53opirhZgP2fb2djl37pysWbNGNmzYIBcvXvRcX9zq7Nmz8uabb9qAvpkX++Thhx+Wa9euhdpHH33krv5wXGrlypVObW1t6Pbo6KhTVFTkNDY2Ol5j/ptaWlpCt8fGxpzCwkJnz549oWWBQMDx+XzO0aNHHS+4fv267Ze2trbQ75+RkeE0NzeH7nPp0iV7H7/f73jB3Xff7bz11lue7ov+/n5n6dKlzvHjx50nn3zS2bZtm13uxT7ZtWuXs2LFignXuaU/XDkCGh4etn/ZmWmlm68RZ277/X7xuqtXr0pPT09Y/5jrLplpSq/0TzAYtP/m5eXZf83+YkZFN/eJmW4oKSlJ+T4ZHR2VpqYmOxo0U3Fe7gszSn766afDfnfDq31y+fJlO41/7733ynPPPSednZ2u6g/XXYzU+Prrr+2bqqCgIGy5uf3FF1+I15nwMSbqn/F1qcxcMd3M7T/++OOybNkyu8z83pmZmZKbm+uZPrlw4YINHDPtaubwW1pa5KGHHpLz5897ri8ME8Jmut5Mwd3Ki/vHqlWr5PDhw/LAAw/Y6bdXXnlFnnjiCfnss89c0x+uDCBgsr9yzZvo5vlsLzIfLCZszGjwT3/6k9TU1Ni5fC8yXyuwbds2e3zQFC1BZN26daGfzfEwE0iLFy+Wt99+2xYuuYErp+Dmz58vs2bNuq0iw9wuLCwUrxvvAy/2z5YtW+S9996TkydPhn1th/m9zdRtIBDwTJ+Yv2Dvu+8+KSsrs1WCpmjltdde82RfmCklU6D0yCOPyOzZs20zYWwKdczP5i97r/XJrcxo5/7775crV664Zh9Jd+sby7ypWltbw6ZdzG0z5eB1S5YssTvJzf1jvmDKVMOlav+YWgwTPmaa6cSJE7YPbmb2l4yMjLA+MWXaZs47VfvkVuY9MjQ05Mm+WLt2rZ2SNCPC8fboo4/a4x7jP3utT25148YN+fLLL+2pG67ZRxyXampqslVdhw8fdj7//HPnZz/7mZObm+v09PQ4XmCqef7+97/bZv6bfvOb39if//nPf9r1u3fvtv3x7rvvOv/4xz+cDRs2OEuWLHH++9//OqnoxRdfdHJycpwPP/zQuXbtWqj95z//Cd3nhRdecEpKSpwTJ044586dc8rLy21LRb/61a9sBeDVq1ft/7+5nZaW5vz1r3/1XF9EcnMVnBf75KWXXrLvF7OPfPzxx05FRYUzf/58W0Hqlv5wbQAZr7/+uu2gzMxMW5Z9+vRpxytOnjxpg+fWVlNTEyrF3rFjh1NQUGCDeu3atU5HR4eTqibqC9MOHToUuo8J35///Oe2HPlb3/qW88Mf/tCGVCr6yU9+4ixevNi+NxYsWGD//8fDx2t9cacB5LU+2bRpk7Nw4UK7j3z729+2t69cueKq/uDrGAAAKlx5DAgAkPoIIACACgIIAKCCAAIAqCCAAAAqCCAAgAoCCACgggACAKgggAAAKgggAIAKAggAoIIAAgCIhv8DwcEyG6bpv4EAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "star_b = dilated_star - star\n",
    "plt.imshow(star_b, cmap='gray')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "773086c1-bc92-45a1-956e-98c6d46d24c3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12015f310>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "star_c = star - skimage.morphology.binary_erosion(star, skimage.morphology.disk(1))\n",
    "plt.imshow(star_c, cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "670d91aa-efdb-438b-94d1-218f2655395a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x120565b50>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eroded_a = skimage.morphology.erosion(img, star)\n",
    "plt.imshow(eroded_a, cmap='gray')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "cd5d96a3-862f-4f91-8e84-6119fa9999c0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12052bd50>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eroded_b = skimage.morphology.erosion(1 - img, star_b)\n",
    "plt.imshow(eroded_b, cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "f647e4e6-d8bf-4b6b-8b05-83e2a42243c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12177d4d0>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(eroded_a & eroded_b, cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "386339e2-fa18-46c1-b8e9-917764f35e01",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([53]), array([239]))"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.where(eroded_a & eroded_b > 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "33b81244-78bf-4d98-9ab1-d2809bd76000",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12180f710>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "skeleton_img = skimage.morphology.skeletonize(img)\n",
    "plt.imshow(skeleton_img, cmap='gray')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "3d32e2ad-9d20-4a20-ba54-214f0755ec63",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1218eb3d0>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(sketch, cmap='gray')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "a454efa8-fd08-4169-a9ae-c5081ea28147",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x121959ed0>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "skeleton_sketch = skimage.morphology.skeletonize(sketch)\n",
    "plt.imshow(skeleton_sketch, cmap='gray')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}