CNN

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyOkWQvlD9zVWeVtF7VoWyKH",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/Kishankumar1328/-DATA-ANALYSICS/blob/main/CNN%20\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "PuYBGtM0b9XJ"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "from PIL import Image\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy import signal\n",
        "from scipy import misc"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "img=Image.open(\"/content/num3.jpg\")\n",
        "img"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 198
        },
        "id": "GfCQpDfxcZDk",
        "outputId": "67385cf8-0fd1-400f-e92e-f52c60fc3bbe"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<PIL.JpegImagePlugin.JpegImageFile image mode=RGB size=181x181>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "img_gr=img.convert('L')#into gray scale\n",
        "img_gr"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 198
        },
        "id": "eI0Zd05OcpUm",
        "outputId": "8220e2f9-2b34-47d8-9f21-7367d8b2a572"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<PIL.Image.Image image mode=L size=181x181>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "arr=np.asanyarray(img_gr)\n",
        "arr"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "gEIfE2EjcpW4",
        "outputId": "1a8b0e55-6885-4a2a-efb4-c106387bf982"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[26, 14, 12, ..., 11, 11, 11],\n",
              "       [ 0,  0,  1, ...,  0,  0,  0],\n",
              "       [12,  1,  0, ...,  0,  0,  0],\n",
              "       ...,\n",
              "       [12,  0,  0, ...,  0,  0,  0],\n",
              "       [12,  0,  0, ...,  0,  0,  0],\n",
              "       [12,  0,  0, ...,  0,  0,  0]], dtype=uint8)"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "fig,ax=plt.subplots(figsize=(101,10))\n",
        "imgplot=plt.imshow(arr)\n",
        "imgplot.set_cmap(\"autumn\")\n",
        "plt.show(imgplot)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 834
        },
        "id": "9bQwgelrcpaI",
        "outputId": "ff878504-7c85-4946-9f71-cb8fc51abfd7"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 10100x1000 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "kernel=np.array([\n",
        "    [0,1,0],\n",
        "    [1,-4,1],\n",
        "    [0,1,0]\n",
        "])\n",
        "grad=signal.convolve2d(arr,kernel,mode='same',boundary='symm')\n",
        "fig,aux=plt.subplots(figsize=(10,10))\n",
        "aux.imshow(np.absolute(grad),cmap='autumn')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 851
        },
        "id": "57pdVHdGhoZL",
        "outputId": "c3758533-d273-4bb2-a614-0818798f146d"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7d17afd29f00>"
            ]
          },
          "metadata": {},
          "execution_count": 11
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x1000 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}