{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "qWHN3XGJrl3E"
      },
      "outputs": [],
      "source": [
        "# Import the Required Libraries\n",
        "import cv2\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Create a Sample Binary Image\n",
        "image = np.zeros((200, 200), dtype=np.uint8)\n",
        "cv2.rectangle(image, (30, 30), (90, 90), 255, -1)\n",
        "cv2.circle(image, (140, 140), 30, 255, -1)\n",
        "\n",
        "# Create a Structuring Element\n",
        "kernel = np.ones((5, 5), np.uint8)"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Apply Morphological Operations\n",
        "erosion = cv2.erode(image, kernel, iterations=1)\n",
        "\n",
        "dilation = cv2.dilate(image, kernel, iterations=1)\n",
        "\n",
        "opening = cv2.morphologyEx(image, cv2.MORPH_OPEN, kernel)\n",
        "\n",
        "closing = cv2.morphologyEx(image, cv2.MORPH_CLOSE, kernel)\n",
        "\n",
        "gradient = cv2.morphologyEx(image, cv2.MORPH_GRADIENT, kernel)\n",
        "\n",
        "tophat = cv2.morphologyEx(image, cv2.MORPH_TOPHAT, kernel)\n",
        "\n",
        "blackhat = cv2.morphologyEx(image, cv2.MORPH_BLACKHAT, kernel)\n",
        "\n",
        "# Display the Results\n",
        "titles = [\n",
        "    \"Original\",\n",
        "    \"Erosion\",\n",
        "    \"Dilation\",\n",
        "    \"Opening\",\n",
        "    \"Closing\",\n",
        "    \"Gradient\",\n",
        "    \"Top-Hat\",\n",
        "    \"Black-Hat\"\n",
        "]\n",
        "\n",
        "images = [\n",
        "    image,\n",
        "    erosion,\n",
        "    dilation,\n",
        "    opening,\n",
        "    closing,\n",
        "    gradient,\n",
        "    tophat,\n",
        "    blackhat\n",
        "]\n",
        "\n",
        "plt.figure(figsize=(14, 8))\n",
        "\n",
        "for i in range(len(images)):\n",
        "    plt.subplot(2, 4, i + 1)\n",
        "    plt.imshow(images[i], cmap=\"gray\")\n",
        "    plt.title(titles[i])\n",
        "    plt.axis(\"off\")\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()-"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 653
        },
        "id": "hvOehB8ntEfY",
        "outputId": "8c515eb4-db41-403d-a7c7-2ae07fe971dc"
      },
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1400x800 with 8 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}