Quantum_Edge_detection(Q30).ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "gpuType": "T4"
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7kOar6DQCybC",
        "outputId": "f46df786-7ccf-46d2-8e55-37d12c4bc2d3"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Requirement already satisfied: pylatexenc in /usr/local/lib/python3.10/dist-packages (2.10)\n",
            "Requirement already satisfied: qiskit in /usr/local/lib/python3.10/dist-packages (0.44.1)\n",
            "Requirement already satisfied: qiskit-terra==0.25.1 in /usr/local/lib/python3.10/dist-packages (from qiskit) (0.25.1)\n",
            "Requirement already satisfied: rustworkx>=0.13.0 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra==0.25.1->qiskit) (0.13.1)\n",
            "Requirement already satisfied: numpy>=1.17 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra==0.25.1->qiskit) (1.23.5)\n",
            "Requirement already satisfied: ply>=3.10 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra==0.25.1->qiskit) (3.11)\n",
            "Requirement already satisfied: psutil>=5 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra==0.25.1->qiskit) (5.9.5)\n",
            "Requirement already satisfied: scipy>=1.5 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra==0.25.1->qiskit) (1.10.1)\n",
            "Requirement already satisfied: sympy>=1.3 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra==0.25.1->qiskit) (1.12)\n",
            "Requirement already satisfied: dill>=0.3 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra==0.25.1->qiskit) (0.3.7)\n",
            "Requirement already satisfied: python-dateutil>=2.8.0 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra==0.25.1->qiskit) (2.8.2)\n",
            "Requirement already satisfied: stevedore>=3.0.0 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra==0.25.1->qiskit) (5.1.0)\n",
            "Requirement already satisfied: symengine<0.10,>=0.9 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra==0.25.1->qiskit) (0.9.2)\n",
            "Requirement already satisfied: typing-extensions in /usr/local/lib/python3.10/dist-packages (from qiskit-terra==0.25.1->qiskit) (4.7.1)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.8.0->qiskit-terra==0.25.1->qiskit) (1.16.0)\n",
            "Requirement already satisfied: pbr!=2.1.0,>=2.0.0 in /usr/local/lib/python3.10/dist-packages (from stevedore>=3.0.0->qiskit-terra==0.25.1->qiskit) (5.11.1)\n",
            "Requirement already satisfied: mpmath>=0.19 in /usr/local/lib/python3.10/dist-packages (from sympy>=1.3->qiskit-terra==0.25.1->qiskit) (1.3.0)\n",
            "Requirement already satisfied: qiskit-aer in /usr/local/lib/python3.10/dist-packages (0.12.2)\n",
            "Requirement already satisfied: qiskit-terra>=0.21.0 in /usr/local/lib/python3.10/dist-packages (from qiskit-aer) (0.25.1)\n",
            "Requirement already satisfied: numpy>=1.16.3 in /usr/local/lib/python3.10/dist-packages (from qiskit-aer) (1.23.5)\n",
            "Requirement already satisfied: scipy>=1.0 in /usr/local/lib/python3.10/dist-packages (from qiskit-aer) (1.10.1)\n",
            "Requirement already satisfied: rustworkx>=0.13.0 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra>=0.21.0->qiskit-aer) (0.13.1)\n",
            "Requirement already satisfied: ply>=3.10 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra>=0.21.0->qiskit-aer) (3.11)\n",
            "Requirement already satisfied: psutil>=5 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra>=0.21.0->qiskit-aer) (5.9.5)\n",
            "Requirement already satisfied: sympy>=1.3 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra>=0.21.0->qiskit-aer) (1.12)\n",
            "Requirement already satisfied: dill>=0.3 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra>=0.21.0->qiskit-aer) (0.3.7)\n",
            "Requirement already satisfied: python-dateutil>=2.8.0 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra>=0.21.0->qiskit-aer) (2.8.2)\n",
            "Requirement already satisfied: stevedore>=3.0.0 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra>=0.21.0->qiskit-aer) (5.1.0)\n",
            "Requirement already satisfied: symengine<0.10,>=0.9 in /usr/local/lib/python3.10/dist-packages (from qiskit-terra>=0.21.0->qiskit-aer) (0.9.2)\n",
            "Requirement already satisfied: typing-extensions in /usr/local/lib/python3.10/dist-packages (from qiskit-terra>=0.21.0->qiskit-aer) (4.7.1)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.8.0->qiskit-terra>=0.21.0->qiskit-aer) (1.16.0)\n",
            "Requirement already satisfied: pbr!=2.1.0,>=2.0.0 in /usr/local/lib/python3.10/dist-packages (from stevedore>=3.0.0->qiskit-terra>=0.21.0->qiskit-aer) (5.11.1)\n",
            "Requirement already satisfied: mpmath>=0.19 in /usr/local/lib/python3.10/dist-packages (from sympy>=1.3->qiskit-terra>=0.21.0->qiskit-aer) (1.3.0)\n"
          ]
        }
      ],
      "source": [
        "!pip install pylatexenc\n",
        "!pip install qiskit\n",
        "!pip install qiskit-aer"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Importing standard Qiskit libraries and configuring account\n",
        "from qiskit import *\n",
        "from qiskit import IBMQ\n",
        "from qiskit.compiler import transpile, assemble\n",
        "from qiskit.tools.jupyter import *\n",
        "from qiskit.visualization import *\n",
        "\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from matplotlib import style\n",
        "style.use('bmh')"
      ],
      "metadata": {
        "id": "N95o6bGYDFyn"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# A 8x8 binary image represented as a numpy array\n",
        "image = np.array([ [0, 0, 0, 0, 0, 0, 0, 0],\n",
        "                  [0, 1, 1, 1, 1, 1, 0, 0],\n",
        "                  [0, 1, 1, 1, 1, 1, 1, 0],\n",
        "                  [0, 1, 1, 1, 1, 1, 1, 0],\n",
        "                  [0, 1, 1, 1, 1, 1, 1, 0],\n",
        "                  [0, 0, 0, 1, 1, 1, 1, 0],\n",
        "                  [0, 0, 0, 1, 1, 1, 1, 0],\n",
        "                  [0, 0, 0, 0, 0, 0, 0, 0] ])\n",
        "\n",
        "# Function for plotting the image using matplotlib\n",
        "def plot_image(img, title: str):\n",
        "    plt.title(title)\n",
        "    plt.xticks(range(img.shape[0]))\n",
        "    plt.yticks(range(img.shape[1]))\n",
        "    plt.imshow(img, extent=[0, img.shape[0], img.shape[1], 0], cmap='viridis')\n",
        "    plt.show()\n",
        "\n",
        "plot_image(image, 'Original Image')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "id": "NqLmqSINDY_1",
        "outputId": "312ed467-98be-4e12-eadc-6eaa68196bf2"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Convert the raw pixel values to probability amplitudes\n",
        "def amplitude_encode(img_data):\n",
        "\n",
        "    # Calculate the RMS value\n",
        "    rms = np.sqrt(np.sum(np.sum(img_data**2, axis=1)))\n",
        "\n",
        "    # Create normalized image\n",
        "    image_norm = []\n",
        "    for arr in img_data:\n",
        "        for ele in arr:\n",
        "            if rms==0:\n",
        "                image_norm.append(0)\n",
        "            else:\n",
        "                image_norm.append(ele / rms)\n",
        "\n",
        "    # Return the normalized image as a numpy array\n",
        "    return np.array(image_norm)\n",
        "\n",
        "# Get the amplitude ancoded pixel values\n",
        "# Horizontal: Original image\n",
        "image_norm_h = amplitude_encode(image)\n",
        "\n",
        "# Vertical: Transpose of Original image\n",
        "image_norm_v = amplitude_encode(image.T)"
      ],
      "metadata": {
        "id": "b7mTFrTiDlo9"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Initialize some global variable for number of qubits\n",
        "data_qb = 6\n",
        "anc_qb = 1\n",
        "total_qb = data_qb + anc_qb\n",
        "\n",
        "# Initialize the amplitude permutation unitary\n",
        "D2n_1 = np.roll(np.identity(2**total_qb), 1, axis=1)"
      ],
      "metadata": {
        "id": "wVyyUcHREnSF"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Create the circuit for horizontal scan\n",
        "qc_h = QuantumCircuit(total_qb)\n",
        "qc_h.initialize(image_norm_h, range(1, total_qb))\n",
        "qc_h.h(0)\n",
        "qc_h.unitary(D2n_1, range(total_qb))\n",
        "qc_h.h(0)\n",
        "display(qc_h.draw('mpl', fold=-1))\n",
        "\n",
        "# Create the circuit for vertical scan\n",
        "qc_v = QuantumCircuit(total_qb)\n",
        "qc_v.initialize(image_norm_v, range(1, total_qb))\n",
        "qc_v.h(0)\n",
        "qc_v.unitary(D2n_1, range(total_qb))\n",
        "qc_v.h(0)\n",
        "display(qc_v.draw('mpl', fold=-1))\n",
        "\n",
        "# Combine both circuits into a single list\n",
        "circ_list = [qc_h, qc_v]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "2e9HMOxVEuC9",
        "outputId": "0addef34-1de8-44ae-9835-48fecf2ae021"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 872.774x618.722 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 872.774x618.722 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Simulating the cirucits\n",
        "back = Aer.get_backend('statevector_simulator')\n",
        "results = execute(circ_list, backend=back).result()\n",
        "sv_h = results.get_statevector(qc_h)\n",
        "sv_v = results.get_statevector(qc_v)\n",
        "\n",
        "from qiskit.visualization import array_to_latex\n",
        "print('Horizontal scan statevector:')\n",
        "#print(np.array(sv_h))\n",
        "display(array_to_latex(np.array(sv_h)[:30], max_size=30))\n",
        "print()\n",
        "print('Vertical scan statevector:')\n",
        "display(array_to_latex(np.array(sv_v)[:30], max_size=30))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 130
        },
        "id": "23KjfACyFLB_",
        "outputId": "b725e1fa-b06a-4bb8-fbed-ed7101a23255"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Horizontal scan statevector:\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<IPython.core.display.Latex object>"
            ],
            "text/latex": "$$\n\n\\begin{bmatrix}\n0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0.089802651 & -0.089802651 & \\frac{\\sqrt{31}}{31} & 0 & \\frac{\\sqrt{31}}{31} & 0 & \\frac{\\sqrt{31}}{31} & 0 & \\frac{\\sqrt{31}}{31} & 0 & 0.089802651 & 0.089802651 & 0 & 0  \\\\\n \\end{bmatrix}\n$$"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n",
            "Vertical scan statevector:\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<IPython.core.display.Latex object>"
            ],
            "text/latex": "$$\n\n\\begin{bmatrix}\n0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0.089802651 & -0.089802651 & \\frac{\\sqrt{31}}{31} & 0 & \\frac{\\sqrt{31}}{31} & 0 & \\frac{\\sqrt{31}}{31} & 0 & 0.089802651 & 0.089802651 & 0 & 0 & 0 & 0  \\\\\n \\end{bmatrix}\n$$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Classical postprocessing for plotting the output\n",
        "\n",
        "# Defining a lambda function for\n",
        "# thresholding to binary values\n",
        "threshold = lambda amp: (amp > 1e-15 or amp < -1e-15)\n",
        "\n",
        "# Selecting odd states from the raw statevector and\n",
        "# reshaping column vector of size 64 to an 8x8 matrix\n",
        "edge_scan_h = np.abs(np.array([1 if threshold(sv_h[2*i+1].real) else 0 for i in range(2**data_qb)])).reshape(8, 8)\n",
        "edge_scan_v = np.abs(np.array([1 if threshold(sv_v[2*i+1].real) else 0 for i in range(2**data_qb)])).reshape(8, 8).T\n",
        "\n",
        "# Plotting the Horizontal and vertical scans\n",
        "plot_image(edge_scan_h, 'Horizontal scan output')\n",
        "plot_image(edge_scan_v, 'Vertical scan output')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 887
        },
        "id": "mwla_99lGNDd",
        "outputId": "58191459-cfbe-4ac4-c0ce-6e9e79225e63"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Combining the horizontal and vertical component of the result\n",
        "edge_scan_sim = edge_scan_h | edge_scan_v\n",
        "\n",
        "# Plotting the original and edge-detected images\n",
        "plot_image(image, 'Original image')\n",
        "plot_image(edge_scan_sim, 'Edge Detected image')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 887
        },
        "id": "5woGCDFgHH4k",
        "outputId": "57df2c84-cf0c-4d70-e54c-7752748a35b0"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from PIL import Image\n",
        "style.use('default')\n",
        "\n",
        "image_size = 256       # Original image-width\n",
        "image_crop_size = 8   # Width of each part of image for processing\n",
        "\n",
        "\n",
        "# Load the image from filesystem\n",
        "image_raw = np.array(Image.open('./tux.jpg'))\n",
        "print('Raw Image info:', image_raw.shape)\n",
        "print('Raw Image datatype:', image_raw.dtype)\n",
        "\n",
        "\n",
        "# Convert the RBG component of the image to B&W image, as a numpy (uint8) array\n",
        "image = []\n",
        "for i in range(image_size):\n",
        "    image.append([])\n",
        "    for j in range(image_size):\n",
        "        image[i].append(image_raw[i][j][0] / 255)\n",
        "\n",
        "image = np.array(image)\n",
        "print('Image shape (numpy array):', image.shape)\n",
        "\n",
        "\n",
        "# Display the image\n",
        "plt.title('Big Image')\n",
        "plt.xticks(range(0, image.shape[0]+1, 32))\n",
        "plt.yticks(range(0, image.shape[1]+1, 32))\n",
        "plt.imshow(image, extent=[0, image.shape[0], image.shape[1], 0], cmap='viridis')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 504
        },
        "id": "X8UMOFLnHLWU",
        "outputId": "e0083629-0a66-4d2a-93be-c644bfb13366"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Raw Image info: (256, 256, 3)\n",
            "Raw Image datatype: uint8\n",
            "Image shape (numpy array): (256, 256)\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Initialize some global variable for number of qubits\n",
        "data_qb = 6\n",
        "anc_qb = 1\n",
        "total_qb = data_qb + anc_qb\n",
        "\n",
        "# Initialize the amplitude permutation unitary\n",
        "D2n_1 = np.roll(np.identity(2**total_qb), 1, axis=1)"
      ],
      "metadata": {
        "id": "gUvHqHoWJ-Ch"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "crops=[]\n",
        "for i in range(image_size//image_crop_size):\n",
        "    for j in range(image_size//image_crop_size):\n",
        "        crops.append(image[i*image_crop_size:(i+1)*image_crop_size,j*image_crop_size:(j+1)*image_crop_size])"
      ],
      "metadata": {
        "id": "8uY0o-8TPJEP"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "edge_crops=[]\n",
        "x=0\n",
        "for crop in crops:\n",
        "    if not((crop==0).all() or (crop==1).all()):\n",
        "        # Horizontal: Original image\n",
        "        image_norm_h = amplitude_encode(crop)\n",
        "\n",
        "        # Vertical: Transpose of Original image\n",
        "        image_norm_v = amplitude_encode(crop.T)\n",
        "        # Create the circuit for horizontal scan\n",
        "        qc_h = QuantumCircuit(total_qb)\n",
        "        qc_h.initialize(image_norm_h, range(1, total_qb))\n",
        "        qc_h.h(0)\n",
        "        qc_h.unitary(D2n_1, range(total_qb))\n",
        "        qc_h.h(0)\n",
        "\n",
        "        # Create the circuit for vertical scan\n",
        "        qc_v = QuantumCircuit(total_qb)\n",
        "        qc_v.initialize(image_norm_v, range(1, total_qb))\n",
        "        qc_v.h(0)\n",
        "        qc_v.unitary(D2n_1, range(total_qb))\n",
        "        qc_v.h(0)\n",
        "\n",
        "        # Combine both circuits into a single list\n",
        "        circ_list = [qc_h, qc_v]\n",
        "\n",
        "        # Simulating the cirucits\n",
        "        back = Aer.get_backend('statevector_simulator')\n",
        "        results = execute(circ_list, backend=back).result()\n",
        "        sv_h = results.get_statevector(qc_h)\n",
        "        sv_v = results.get_statevector(qc_v)\n",
        "\n",
        "        threshold = lambda amp: (amp > 1e-15 or amp < -1e-15)\n",
        "\n",
        "        # Selecting odd states from the raw statevector and\n",
        "        # reshaping column vector of size 64 to an 8x8 matrix\n",
        "        edge_scan_h = np.abs(np.array([1 if threshold(sv_h[2*i+1].real) else 0 for i in range(2**data_qb)])).reshape(8, 8)\n",
        "        edge_scan_v = np.abs(np.array([1 if threshold(sv_v[2*i+1].real) else 0 for i in range(2**data_qb)])).reshape(8, 8).T\n",
        "        edge_scan_sim = edge_scan_h | edge_scan_v\n",
        "\n",
        "        edge_crops.append(edge_scan_sim)\n",
        "\n",
        "    else:\n",
        "        edge_crops.append(crop)\n",
        "\n",
        "    if x%32==0:\n",
        "        print(x)\n",
        "    x+=1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "b0dy6v1ubQrI",
        "outputId": "897c0b39-0bc1-41d6-e9bb-6c16877ac1e3"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0\n",
            "32\n",
            "64\n",
            "96\n",
            "128\n",
            "160\n",
            "192\n",
            "224\n",
            "256\n",
            "288\n",
            "320\n",
            "352\n",
            "384\n",
            "416\n",
            "448\n",
            "480\n",
            "512\n",
            "544\n",
            "576\n",
            "608\n",
            "640\n",
            "672\n",
            "704\n",
            "736\n",
            "768\n",
            "800\n",
            "832\n",
            "864\n",
            "896\n",
            "928\n",
            "960\n",
            "992\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "tmps=[]\n",
        "for j in range(32):\n",
        "    init=edge_crops[32*j]\n",
        "    for i in range(1,32):\n",
        "        init=np.concatenate((init, edge_crops[32*j+i]), axis=1)\n",
        "    tmps.append(init)"
      ],
      "metadata": {
        "id": "zawEgYubbSzF"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "print(init.shape)\n",
        "print(len(tmps))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "3Gmqa-utsbNz",
        "outputId": "83943574-5284-4d0e-a4c2-2896825b34b0"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(8, 256)\n",
            "32\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "actual_edge_image=tmps[0]\n",
        "for i in range(1,32):\n",
        "    actual_edge_image=np.concatenate((actual_edge_image, tmps[i]), axis=0)"
      ],
      "metadata": {
        "id": "f-sWNaRqhT9c"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "plt.title('Big Image')\n",
        "plt.xticks(range(0, actual_edge_image.shape[0]+1, 32))\n",
        "plt.yticks(range(0, actual_edge_image.shape[1]+1, 32))\n",
        "plt.imshow(actual_edge_image, extent=[0, actual_edge_image.shape[0], actual_edge_image.shape[1], 0], cmap='viridis')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "id": "mK70yWp-icJ9",
        "outputId": "56b0b039-9af6-435d-f7da-490ff0f6cb93"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "G4C0vQI5tFe7"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}