{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "xk6e54Wd1hwL"
   },
   "source": [
    "# Part 2: The Fourier Transform"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "UBpOwnNJ9vsL"
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import torch\n",
    "\n",
    "from src.fourier import (\n",
    "    eigendecomposition,\n",
    "    fourier_transform,\n",
    "    fourier_transform_operator,\n",
    "    matrix_from_convolution_kernel,\n",
    "    image_operator_from_sep_kernels,\n",
    "    inv_fourier_transform,\n",
    "    shift_operator,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "86LMjERD1njy"
   },
   "source": [
    "## Part 2.1: Torus Shifts\n",
    "\n",
    "After implementing `src.fourier.shift_operator`, we can now shift images around the torus."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 411
    },
    "id": "QuYSKknoOseF",
    "outputId": "95484caf-9cdb-4a14-c428-7b06aaf97965"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = torch.tensor(plt.imread(\"../img/dog.png\"))[..., 0]\n",
    "\n",
    "S = shift_operator(img.shape, shift_x=15, shift_y=10)  # Experiment with these values!\n",
    "shifted_img = (S @ img.flatten()).reshape(img.shape)\n",
    "\n",
    "# Visualize the original and shifted images\n",
    "plt.subplot(121)\n",
    "plt.imshow(img, cmap=\"gray\")\n",
    "plt.title(\"Original Image\")\n",
    "plt.axis(\"off\")\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.imshow(shifted_img, cmap=\"gray\")\n",
    "plt.title(\"Shifted Image\")\n",
    "plt.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Test your implementation against the explicit method for shifting a matrix\n",
    "shift_x = torch.randint(-100, 100, (1,)).item()\n",
    "shift_y = torch.randint(-100, 100, (1,)).item()\n",
    "\n",
    "torch.allclose(\n",
    "    (shift_operator(img.shape, shift_x, shift_y) @ img.flatten()),\n",
    "    torch.roll(img, [-shift_x, -shift_y], dims=(1, 0)).flatten(),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "dZnKc55X2_Hj"
   },
   "source": [
    "## Part 2.2: Convolutions in the Torus\n",
    "\n",
    "Use the same machinery as above to implement generic 2D convolutions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 411
    },
    "id": "MXiWr0N2DtGL",
    "outputId": "48902747-3e87-42c2-8808-ab27df2619dc"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = torch.tensor(plt.imread(\"../img/dog.png\"))[..., 0]\n",
    "\n",
    "# kernel = torch.tensor([1.0, -2.0, 1.0])  # Laplacian\n",
    "kernel = torch.tensor([1, 1, 1]) / 3  # Blur\n",
    "M = image_operator_from_sep_kernels(img.shape, kernel, kernel)\n",
    "\n",
    "convolution_output = M @ img.flatten()\n",
    "\n",
    "# Visualize the original and shifted images\n",
    "plt.subplot(121)\n",
    "plt.imshow(img, cmap=\"gray\")\n",
    "plt.title(\"Original Image\")\n",
    "plt.axis(\"off\")\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.imshow(convolution_output.reshape(img.shape), cmap=\"gray\")\n",
    "plt.title(\"Convolution Operator on Image\")\n",
    "plt.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "efIn1p1HIQwp",
    "outputId": "dec8720f-2d6a-45c5-de5f-00d39f666357"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Note that shifts and convolutions commute!\n",
    "torch.allclose(S @ M, M @ S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that both our 1D circulant matrices and 2D convolution operators are symmetric matrices!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kernel = torch.tensor([1, 1, 1]) / 3  # Blur\n",
    "\n",
    "circulant_check = matrix_from_convolution_kernel(kernel, 10)\n",
    "M_check = image_operator_from_sep_kernels((10, 10), kernel, kernel)\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.imshow(circulant_check)\n",
    "plt.title(\"1D Circulant Matrix (Blur)\")\n",
    "plt.axis(\"off\")\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.imshow(M_check)\n",
    "plt.title(\"2D Convolution Operator (Blur)\")\n",
    "plt.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Bxvu_v933rRv"
   },
   "source": [
    "## Part 2.3: Spectral Analysis\n",
    "\n",
    "By inspecting the eigendecomposition of the convolution operator, we can recreate the figures from the Lecture!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 487
    },
    "id": "QpYuxRBD-z6n",
    "outputId": "192b9443-f356-4724-a646-a0e69b388379"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# DECOMPOSITION CHECK\n",
    "# Note the kernel is smaller so that we can see the eigenvectors better\n",
    "M = image_operator_from_sep_kernels((10, 10), kernel, kernel)\n",
    "D, Q = eigendecomposition(M, descending=True)\n",
    "\n",
    "plt.figure(figsize=(12, 4))\n",
    "\n",
    "# Plot the eigenvalues using a scatter plot\n",
    "plt.subplot(131)\n",
    "plt.plot(D, \"o\", markersize=1)\n",
    "plt.title(\"Eigenvalues\")\n",
    "plt.xlabel(\"Eigenvector Index\")\n",
    "plt.ylabel(\"Eigenvalue\")\n",
    "\n",
    "# Plot all the eigenvectors\n",
    "plt.subplot(132)\n",
    "im = plt.imshow(Q, aspect=\"auto\", cmap=\"gray\")\n",
    "plt.title(\"Eigenvectors\")\n",
    "plt.xlabel(\"Eigenvector index\")\n",
    "plt.ylabel(\"Component index\")\n",
    "\n",
    "# Plot a few of the eigenvectors\n",
    "plt.subplot(133)\n",
    "plt.plot(D[1] * Q[:, 1], label=\"Eigenvector 2\")\n",
    "plt.plot(D[2] * Q[:, 2], linestyle=\"--\", label=\"Eigenvector 3\")\n",
    "plt.legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "iOh-WU6u4PHN"
   },
   "source": [
    "## Part 2.4: The Fourier Transform!\n",
    "\n",
    "Verify that your Fourier transform is correct by checking that it block-diagonalizes the convolution operator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Off-diagonal norm for convolution operator: tensor(2.5152e-05)\n"
     ]
    }
   ],
   "source": [
    "# For the convolution operator (here, M) we expect a diagonal matrix\n",
    "M = image_operator_from_sep_kernels(img.shape, kernel, kernel)\n",
    "_, Q = eigendecomposition(M)\n",
    "\n",
    "M_fourier = fourier_transform_operator(M, Q)\n",
    "diag_error = torch.norm(M_fourier - torch.diag(torch.diag(M_fourier)))\n",
    "print(\"Off-diagonal norm for convolution operator:\", diag_error)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 301
    },
    "id": "IiPuRChLMQHW",
    "outputId": "79fdd6ab-4865-465f-c14b-122a97c75640"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For the shift operator:\n",
    "S_fourier = fourier_transform_operator(S, Q)\n",
    "\n",
    "# For another convolution:\n",
    "kernel = torch.tensor([1.0, -2.0, 1.0])  # Laplacian\n",
    "# kernel = torch.tensor([1, 1, 1]) / 3 # Blur\n",
    "M1 = image_operator_from_sep_kernels(img.shape, kernel, kernel)\n",
    "M1_fourier = fourier_transform_operator(M1, Q)\n",
    "\n",
    "# For their composition:\n",
    "M2 = S @ M1\n",
    "M2_fourier = fourier_transform_operator(M2, Q)\n",
    "\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.subplot(131)\n",
    "plt.imshow(S_fourier[-100:, -100:], cmap=\"bwr\", vmin=-1, vmax=1)\n",
    "plt.title(\"FT Shift\")\n",
    "plt.axis(\"off\")\n",
    "\n",
    "plt.subplot(132)\n",
    "plt.imshow(M1_fourier[-100:, -100:], cmap=\"bwr\", vmin=-1, vmax=1)\n",
    "plt.title(\"FT Convolution\")\n",
    "plt.axis(\"off\")\n",
    "\n",
    "plt.subplot(133)\n",
    "plt.imshow(M2_fourier[-100:, -100:], cmap=\"bwr\", vmin=-1, vmax=1)\n",
    "plt.title(\"FT Composition\")\n",
    "plt.axis(\"off\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "gPk13kwE4bnn"
   },
   "source": [
    "## Part 2.5: Operators in Fourier Space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 284
    },
    "id": "SzY42SDalGdj",
    "outputId": "dc545061-233e-4a8d-c87e-28ca6b47840a"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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yZGdny+9+97vm+sGDB0tJSYksWLBAXn75ZRER+fGPfywffvihjB49Wp5++mm5/vrrZd68eZKfny833nhjq/d97rnnyoIFC6ShoUHuuOMOWbhwocydOzfy+2t6dsyYMUP+9re/yYwZM+Szzz6TRx99VJ544omjOv9Dde7cWd544w0pKiqSkpISue+++2Tw4MHyl7/8pc32gaiEgEQFAABe480AAACeozMAAIDn6AwAAOA5OgMAAHiOzgAAAJ6jMwAAgOfoDAAA4LmjmoFQL8VpTbQze/bsUNlaQGLUqFGhsrUQxb59+0Jla158PX3moctnNtEz9x26PG+TQ1fNE5HIKl0i0Wk/c3JyIm2aphBt0rQM6aFSU1MjdZqeha9Lly6RNvv37w+VO3fu3OJ2rXbWjH8ux1hfX9/iZ2pra0Nl67rW1NSEyvq8RL5dBvlI2xWJnpe1oJReQe7gwYORNi7TcOjj2bNnT4v7stazaFrGuYn1HX755ZctHs/3zWWXXRapy8/PD5VHjBgRaXPiiSeGyvo6i0SfC9bMnHoZa+v5ou9X6/mif3fW8ejnibVKoV635N///nekjX6WlZaWRtroe0ivZCoSPXf9O7WO0brvrFUNXZ4LW7ZsabGNL0455ZRInV7PQa/wKhK9hvrPJ5Ho78CaUXbevHlHPD7eDAAA4Dk6AwAAeI7OAAAAnnPODAwfPjxSp8c3Pvjgg0gbvZJVSkpKpI015qs1NDSEytb4WJ8+fUJla7y5R48eLe5Lj+1bx6fPQ4/NiUTH1KyxHj2GZ41R6+1Y4996vNllbFDEHj/V9Di+Ndbvcj30MR44cCDSRl97a1xSf69WhkJnH/S+RaLfh3Vd9dixlSvQ43PWtdfnZR2z3r+VMTkWWb95ff4ZGRmRNnr83Rqj19fa2o5uo58lItF7weV3aO1Lt7GeHTpvZI2rr1+/PlTevn17pE1FRUWobOUl9O/b+j3pjICV67L2361bt1DZ+p7xP1aWSLO+n7y8vFDZyhvp79k1M3Yo3gwAAOA5OgMAAHiOzgAAAJ5zHpS0xko1a0xaj3u6jmVrekzEGp9y+Tfh1ji15jL2pccdrX3rMWBrTNpl3FpfQ2vM07qumpUPcMkMpKWltfgZfR76M1Ybl+/Loq+HlcXQY9JWfkRfa+s+1Pe9y/Wy7h/9nVl5AL1ta+z2WGTdCzp3kp6eHmmj66wxen1drd+3bmPdL/r+sNro/Ih1Xi1tVyT6b8KtY9b7t37f+v61jkefu/V80W2s+07nA0Si18Map7b+vbuvrLH+rVu3hsrW70DnCLKysiJt9HOKzAAAAGg1OgMAAHiOzgAAAJ6jMwAAgOecA4RWqESHWlzCVS6hKGs7Otxlhc/08VghijghQytY5nIeOqxjBf/0duKG/FxY56HrrPCbPg/rePS1tgJPLhMjaS4T71jfqQ7UuAT2rHCV3rbVRrO+Z32dXe7xtvreO5q1+Iqus8KBOhBn/Z510M4KOruEN3Xg1Pqe9W/DegbowKAOC1rH4/K7dJlozKKvjxVWdJmwxlqITQfb4gaCfWFN3KTvVyu4qhfxssKc+vdkbaclvBkAAMBzdAYAAPAcnQEAADznnBmwxoNcJqvQXCbPsLhMTOQytq3331aLwbiMAVvn4HLuLm3i0tfD2pfL2LXLddXbcVk4KW6uwCUP4DIhlm4Td1w0zvfscu7Hgl69ekXqcnNzQ2Vr8St9f1jj3Tt27AiVrQXM9Hby8/MjbfQCZtazTH8/1risXtTLWqjI5bei8wlWG5fJyHRmwcpU6IyAtZjbwIEDW9y/tTgZjkwvNmXR9521aKDOvPTt27fVx8KbAQAAPEdnAAAAz9EZAADAc3QGAADwnHN6zmWiGZegmRWkirNqobWvOCskxt1OHC6BOZdr4TKpjcsEOtb+LS7B0DiTJ7mcq0V/Py7hTUuc0KNLENC6Xj6vWmhNKKSfHXv37o206dmzZ6hsTeCjA4RfffVVpI3LxFF6Ihdr4h19v1grEuoAobVq3549e0JlK2Soz9U6d70Knst2LDq8aQU+TzjhhEidvqddVrbFkVmBQpfVbwsLC0Nla5KolvBmAAAAz9EZAADAc3QGAADwnHNmwBqD1WNoLmOlVhuXMb0427G4jK3HWSDG5Xhcjs/at962y3iztS+X8e644+YuizK1tF1L3PvO5VrrNi7H47LYVNzvWV/D42Xhlw0bNkTq9Fi2da46M2BNOqSzBnocXSQ6GY51j+tFd6yJifT3bE06pO9Na8xeZwZ0zsDatsvv2WXyIisLkZWVFSoPGDAg0qZr166ROn0eVj4CR6+8vLzVn7EyHi3hzQAAAJ6jMwAAgOfoDAAA4Dk6AwAAeM45QOgyWZAVctFt2iqAFScsKBJv4pu4ATWXz8QNrWlxJyv6Lq+95joxUkvbjnt9XCZK0p+Ley+4XGeXIO2x6JNPPonU6eCfde0LCgpCZZcV96zVD3WIzwoZlpaWhso6UCgSnZjImoxM34vWvanrrHNPTk4Ola3z0m2sSZD0vnSgUESkX79+Rywf7hh1gFBPAIX2YQUK9bMjTpiTNwMAAHiOzgAAAJ6jMwAAgOecMwPW+Jge07TGZV0mxtDbjrNwkcVloReXSX5cxoTjLh6k99VW4/quXCZzcpkMp60yFC3t2/pc3AWPNJeMievn8D/r1q2L1HXp0iVUthbH0WP91m8jLS2txe3oNtZkQfp7tvIJ+nPWJEh6HN1lEiRrrF/f49bv0mUyMp19yM7OjrQZOHBgqNy/f/9Im8rKykidHrsmM9Bx9AJH1oJHLeEpBgCA5+gMAADgOToDAAB4js4AAACea9NJhywuK/e5bCdOSMtlX1ZAzGU1O72dONdCxC2EGSdo53qdXVY7bGlf1udc2rhc17hhSZcJe+IcT1ztFbA8XljhQJcQnQ4iWqvr6VX5rJUE9eRFVhjP5X7RwcPa2tpIG71/K9DoMnmRDjBaIW89UVKfPn0ibYYMGRIqWxMuWSHHOCE1fH/xZgAAAM/RGQAAwHN0BgAA8JxzZiDuAi1tNWmLy5h4nHHiuHkFlwWPXNq01biwy+RB1r7aa6Gijl7MKM51basFqdAyPUZvjVPrPIB1v+jPuXyHLmP01oI+LotW6cWD9DmIRBcdyszMjLTRzw59vUSikylZOYe8vLxQOTc3N9JGn/v69esjbbZu3RqpKysri9Th2MWbAQAAPEdnAAAAz9EZAADAc3QGAADwnHOAMG6QymWSH80lCGj5LsNecYKHccNw7UmHh75vK/DFDam6BCPj3mc4elVVVaGyXslPJLoCoBV+00E/HeCzWBP46HvIpY21L70qoMtESdZ56etjTZSk72krrKhZkwdt3rw5VLZWH7RWLWTSoePL9+vJDwAAvnN0BgAA8BydAQAAPOecGWgrbbWgT1wukxe1F5fzaqtshut24mQE4i7o4zIJUxxxJ3OKc63bczEjn+gJc3RZJDoGbk28o8ftre24PDv0WHpNTU2kjV6EyLp/dIZBT/ojIpKRkREq5+fnR9rovIR13+lFmaxcwaZNm0Ll//znP5E2GzduDJWrq6sjbXD84ykGAIDn6AwAAOA5OgMAAHiOzgAAAJ77zgOEcbVV0K+jJ/nRvm/H4yJuYE5PwGJN7PJ9D+N934/vWGVdV32/WAFCHdizVj/UAUIrjKfDgS5tLDrQaK0k2K1bt1DZ+h24rK6qJysqLS2NtNGTOVmrDxIYhAhvBgAA8B6dAQAAPEdnAAAAzx0zmQEc+1zGQXH8KSgoiNT94Ac/CJWLiooibfRkPNb9osforcWD9H1njf3rjIDLBGHW8eg6q43ejssCZlauQNdZmQqdWbDaACK8GQAAwHt0BgAA8BydAQAAPEdnAAAAzxEgBNCucnJyInV65b7MzMxIGx3qsyYU0oFBK7BXX18fKsed5MdlX3qiJJcAobXSog45HjhwINKmrq4uVLauoZ6YyFpFcfv27ZE6+Ic3AwAAeI7OAAAAnqMzAACA58gMAGhXw4cPj9QNGzYsVO7Zs2ekjc4MuIzRW5MF6cyALluf09sVcZssKE4bKzOgcw3WdnQbK5uRlZUVKluZARx/4nzPvBkAAMBzdAYAAPAcnQEAADxHZwAAAM8RIATQrtLT0yN13bt3D5WtSXVSUlJCZZdVLnXo0Kqz2rhMOhQnHGhxWf1QT7CkJxgSiQYI9+/fH2mjJy+ywpM4/lhh0pbwZgAAAM/RGQAAwHN0BgAA8ByZAQDtKjs7O1KnJ8OJO5ZtTTLUFqxxfL0vKx9gTVakWQsltbQdvUiSSPSauRwz/EBmAAAAtBqdAQAAPEdnAAAAz9EZAADAcwQIAbQrK8TmEsZz2Y7L6n7WJENanMmCkpKij09d53LuVnhS76tz586RNjpUuGvXrkibysrKUHnHjh2RNjj+xAmO8mYAAADP0RkAAMBzdAYAAPAcmQEA7cqaDEePgVvj+m01gU+chYqsMVc9jm8dn84MWHmAOBkGKzOg60pLSyNtqqurQ+WysrIW9w0/8WYAAADP0RkAAMBzdAYAAPAcnQEAADxHgBBAu7IChDpo57ICoMuEQlag8ODBg6FyXV1dpI2uswKE1iRDLR2PS4AwblgxLS0tVLYmHaqqqgqVmXTID0w6BAAAWo3OAAAAnqMzAACA58gMAGhX5eXlkTo9lp2Xlxdpo8fNXRYq0vkAq85lHN8ao9d11vG45BNcFmmychZaRUVFqGxNKERGwE87d+5s9Wd4MwAAgOfoDAAA4Dk6AwAAeI7OAAAAniNACKBdWQFCXZefnx9po8OB1mp/OqBnBfb0dlwmFLJWCdShPiuIqOtcJhSywoI6rGhNeLRly5ZQ2QoQWisZ4vgXZ3VK3gwAAOA5OgMAAHiOzgAAAJ4jMwCgXekJhkREqqurQ2VrTFyPv1uZAc2aLEiPyVvb0Z+zxvH1+L+1KJLetrUdXWeduz4eK8Ogx4WtCYa2b98eqcPxz8rptIQ3AwAAeI7OAAAAnqMzAACA5+gMAADgOQKEANqVNQGKXnFPl0VEMjMzQ2Ur+OcSxnNZ/VBv29qXrrO2o4/HChDqMKDLpEPJycktbscKGQKueDMAAIDn6AwAAOA5OgMAAHiOzgAAAJ4jQAigXVkz43366aehcq9evSJthgwZEipnZGRE2hw4cCBU1mFBkWgYr60ChC6zC8Zto8/DCmHqujgr1QFNeDMAAIDn6AwAAOA5OgMAAHiOzACAduWycp411v/NN9+EyoMHD4606dq1a6icm5sbaaNXF7T2pdtYKxLqsX1rO7rOauNCf87KXei60tLSWPsCRHgzAACA9+gMAADgOToDAAB4js4AAACeI0AI4DvnEiqsq6sLlfUqhiLRAGF9fX2kjRUGbIkV/NMrIlpt9IRG1gRHLoFGPVHSzp07I210gNDlmgKHw5sBAAA8R2cAAADP0RkAAMBzZAYAdDhrvFtnBKxJdfRERJ07d460cVlgqKKiIlROTU2NtNm8eXOobE1wtH///lA5Kysr0saFzgzosoh9HkBc3E0AAHiOzgAAAJ6jMwAAgOfoDAAA4DkChAA6XEFBQaTu5JNPDpVHjhwZaaNDfNYkPykpKaFyeXl5pM369etD5d27d0fa6Il/CgsLI226d+8eKmdnZ0faaNakQ3pfLqsWAkeDNwMAAHiOzgAAAJ6jMwAAgOfIDADocL169YrU5efnH7EsEp1QyJKcnBwq19TURNps3LgxVP7ss88ibb755psW9zVo0KBQ+aSTToq0sXINms4DkBlAe+PNAAAAnqMzAACA5+gMAADgOToDAAB4jgAhgO+lsrKyUHnNmjWRNjoMaE3go1cyXLt2baTN559/HiqvWrWqxeOzVlrUAUIrLKhDj1YI0iUYCbQl3gwAAOA5OgMAAHiOzgAAAJ4jMwCgw1kT+hw8eLDFNnV1dS1uOykp/JirqKiItLEWL2oLVmagoaEhVE5MjP6dTC9wlJOTE2mjF2liEiIcDd4MAADgOToDAAB4js4AAACeozMAAIDnCBAC6HDWBD5W3feJNcGRDgN26tQp0kaHCq3t6MCgFSDUIUPgaPBmAAAAz9EZAADAc3QGAADwHJkBAIjBmixIZwT0Ikki0YyAy8RE1uRKLGaEtsSbAQAAPEdnAAAAz9EZAADAc3QGAADwHAFCAIhh586dLdZZbXr06BEqW0FAHTIkLIj2xpsBAAA8R2cAAADP0RkAAMBzZAYAIAYrD1BeXh4ql5WVRdpkZGSEyvX19ZE2SUlJRyyL2BMaAXHxZgAAAM/RGQAAwHN0BgAA8BydAQAAPEeAEABi2LFjR6Tuk08+CZWzs7MjbXr27Bkq60mIRKLhRB1MFLHDiUBcvBkAAMBzdAYAAPAcnQEAADxHZgAA2khlZWWo/MUXX7T4GSszoDMC69ati7SxJj0C4uLNAAAAnqMzAACA5+gMAADgOToDAAB4jgAhgA5XUFAQqdMT9vTq1SvS5ptvvgmVrcl5tLy8vEhdTk5Oi5/TkwxZk/5s3749VF6zZk2kTWlpaaiclZXV4nas86qoqDj8wQKtxJsBAAA8R2cAAADP0RkAAMBzZAYAfOf0OHm/fv0ibXSdteiPrtu3b1+kTUJCQqicm5sbaaMzA506dYq00eP21ji+zjC40McnEs1HJCcnR9okJYUf39bCSYAr3gwAAOA5OgMAAHiOzgAAAJ6jMwAAgOcIEAJoV9YkPzoceOKJJ0baZGZmhsp9+/aNtElMDP99xgrj1dXVhcrdunWLtNGBRqtNTU1NqFxdXR1po0N81vEEQRAqNzY2RtocPHjwiNsVEVm7dm2oXF9fH2nDxERwxZsBAAA8R2cAAADP0RkAAMBzZAYAtKuBAwdG6gYNGhQq63F0EXtMXuvfv3+obE3Oo8f6N2zYEGmzdevWUNlauEhnH/Lz8yNt9LmmpqZG2mjWREk7d+4Mla0Mg75mVmZAI0PgB2vxq5bwZgAAAM/RGQAAwHN0BgAA8BydAQAAPEeAEEC7siYU6ty5c6i8d+/eSBsdkLMm8CktLT1iWURk27ZtobIOFIqIpKWlhcp9+vSJtBkwYECoXFBQEGmjQ4bW6oe6zjr3r7/+OlTWAUcRkaqqqlA5IyMj0iY9PT1UtsKKtbW1kTp8f+h7yvqeu3fvHirr+9kFbwYAAPAcnQEAADxHZwAAAM+RGQDQrqyx/l27doXK+/fvj7Tp2bNnqGxNqrN58+ZQefXq1ZE2eqIdaxxfTw5kHU9DQ0OobE1wpMfo9ViuSDQLYY3Z64WJPv3000gbnRno0qVLpI3OZljHTGag4+jciV6cSySaubF+T/p71mUXvBkAAMBzdAYAAPAcnQEAADxHZwAAAM95FyDU4QtrtTQAbcdaKW/37t2hsrUqX11dXaisQ3UiIuvWrQuVdaBQROTAgQOhsjVpi2ZNBLRnz55Q+eDBg5E2+nnS2NjY4r4SE6N/J+vatWuobK1+qEOOVmhMr16nV4sUiU5oVF5eHmmzffv2SB1ax1pJUK9y2atXr0gbXWeFWzXrO2wJbwYAAPAcnQEAADxHZwAAAM95lxkgI3D0rHFQa9wTELHH+vX9Yk22kpQUfjxZY/S6jbVAi84J6c+IRCfssSYL0nXWOL4et7d+F3rSI+uY8/PzQ2VrrF/vy3q26TbWeemxbCu/YdGZjjjj1D6xrn1ubm6o3Ldv30gbfZ137twZaVNdXR0qx5lIiic4AACeozMAAIDn6AwAAOA5OgMAAHjOuwAhjh5hQbRGTU1NpE6v7metpqcn3rGCbXpCIWtFNx1sc5mcR68mJyKSl5cXKruEFeMGlnWgUQcKLTpEJhINXeowmkg0EGz9vq39W9vSCBX+j77nRaLfj16JUkSktLQ0VLYmxNJ1LhMTaTzVAQDwHJ0BAAA8R2cAAADPkRkA8J1zmQxHj1PrDIFIdNEhaxEivciONWlWjx49QuXevXtH2uTk5ITKelxfxJ7QSNMLHlmLK23cuDFULisri7TRGQGrja6zcgU6d6GvhYi9gI7+Dq0sBv6noaEhUqevvZWv0eP/Vg5FT2QVB28GAADwHJ0BAAA8R2cAAADP0RkAAMBzCQHL+AEA4DXeDAAA4Dk6AwAAeI7OAAAAnqMzAACA5+gMAADgOToDAAB4js4AAACeozMAAIDn6AwAAOC5/wdfk/7Trw6qwQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fourier_img = fourier_transform(img.flatten(), Q)\n",
    "fourier_img = M_fourier @ S_fourier @ fourier_img  # Feel free to experiment here!\n",
    "pixel_img = inv_fourier_transform(fourier_img, Q)\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.imshow(fourier_img.reshape(img.shape), cmap=\"gray\")\n",
    "plt.title(\"Fourier domain\")\n",
    "plt.axis(\"off\")\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.imshow(pixel_img.reshape(img.shape), cmap=\"gray\")\n",
    "plt.title(\"Pixel domain\")\n",
    "plt.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part 2.6: The Complex Fourier Transform (*extra credit*)\n",
    "\n",
    "Can you convert the real-valued Fourier transform to a complex-valued Fourier transform? Recover the magnitude and phase.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "colab": {
   "provenance": []
  },
  "kernelspec": {
   "display_name": ".venv",
   "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": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
