diff --git a/Earth.png b/Earth.png new file mode 100644 index 0000000..2009919 Binary files /dev/null and b/Earth.png differ diff --git a/Lab_5.ipynb b/Lab_5.ipynb index 66c94a4..30ecf2c 100644 --- a/Lab_5.ipynb +++ b/Lab_5.ipynb @@ -14,6 +14,275 @@ "Low and High pass filtering experiments.html. " ] }, + { + "cell_type": "markdown", + "id": "03b53c2c", + "metadata": {}, + "source": [ + "## Zadanie 1" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "9cd51714", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# gratings.py\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.arange(-500, 501, 1)\n", + "\n", + "X, Y = np.meshgrid(x, x)\n", + "\n", + "wavelength = 100\n", + "angle = np.pi/9\n", + "grating = np.sin(\n", + " 2*np.pi*(X*np.cos(angle) + Y*np.sin(angle)) / wavelength\n", + ")\n", + "\n", + "plt.set_cmap(\"gray\")\n", + "\n", + "plt.subplot(131)\n", + "plt.imshow(grating)\n", + "plt.axis(\"off\")\n", + "\n", + "# Calculate the Fourier transform of the grating\n", + "ft = np.fft.ifftshift(grating)\n", + "ft = np.fft.fft2(ft)\n", + "ft = np.fft.fftshift(ft)\n", + "\n", + "plt.subplot(132)\n", + "plt.imshow(abs(ft))\n", + "plt.axis(\"off\")\n", + "plt.xlim([480, 520])\n", + "plt.ylim([520, 480])\n", + "\n", + "# Calculate the inverse Fourier transform of \n", + "# the Fourier transform\n", + "ift = np.fft.ifftshift(ft)\n", + "ift = np.fft.ifft2(ift)\n", + "ift = np.fft.fftshift(ift)\n", + "ift = ift.real # Take only the real part\n", + "\n", + "plt.subplot(133)\n", + "plt.imshow(ift)\n", + "plt.axis(\"off\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "778ad991", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# fourier_synthesis.py\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "image_filename = \"Earth.png\"\n", + "\n", + "def calculate_2dft(input):\n", + " ft = np.fft.ifftshift(input)\n", + " ft = np.fft.fft2(ft)\n", + " return np.fft.fftshift(ft)\n", + "\n", + "# Read and process image\n", + "image = plt.imread(image_filename)\n", + "image = image[:, :, :3].mean(axis=2) # Convert to grayscale\n", + "\n", + "plt.set_cmap(\"gray\")\n", + "\n", + "ft = calculate_2dft(image)\n", + "\n", + "plt.subplot(121)\n", + "plt.imshow(image)\n", + "plt.axis(\"off\")\n", + "plt.subplot(122)\n", + "plt.imshow(np.log(abs(ft)))\n", + "plt.axis(\"off\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "672ca19f", + "metadata": {}, + "outputs": [], + "source": [ + "# fourier_synthesis.py\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "image_filename = \"Elizabeth_Tower_London.jpg\"\n", + "\n", + "def calculate_2dft(input):\n", + " ft = np.fft.ifftshift(input)\n", + " ft = np.fft.fft2(ft)\n", + " return np.fft.fftshift(ft)\n", + "\n", + "def calculate_2dift(input):\n", + " ift = np.fft.ifftshift(input)\n", + " ift = np.fft.ifft2(ift)\n", + " ift = np.fft.fftshift(ift)\n", + " return ift.real\n", + "\n", + "def calculate_distance_from_centre(coords, centre):\n", + " # Distance from centre is √(x^2 + y^2)\n", + " return np.sqrt(\n", + " (coords[0] - centre) ** 2 + (coords[1] - centre) ** 2\n", + " )\n", + "\n", + "def find_symmetric_coordinates(coords, centre):\n", + " return (centre + (centre - coords[0]),\n", + " centre + (centre - coords[1]))\n", + "\n", + "def display_plots(individual_grating, reconstruction, idx):\n", + " plt.subplot(121)\n", + " plt.imshow(individual_grating)\n", + " plt.axis(\"off\")\n", + " plt.subplot(122)\n", + " plt.imshow(reconstruction)\n", + " plt.axis(\"off\")\n", + " plt.suptitle(f\"Terms: {idx}\")\n", + " plt.pause(0.01)\n", + "\n", + "# Read and process image\n", + "image = plt.imread(image_filename)\n", + "image = image[:, :, :3].mean(axis=2) # Convert to grayscale\n", + "\n", + "# Array dimensions (array is square) and centre pixel\n", + "# Use smallest of the dimensions and ensure it's odd\n", + "array_size = min(image.shape) - 1 + min(image.shape) % 2\n", + "\n", + "# Crop image so it's a square image\n", + "image = image[:array_size, :array_size]\n", + "centre = int((array_size - 1) / 2)\n", + "\n", + "# Get all coordinate pairs in the left half of the array,\n", + "# including the column at the centre of the array (which\n", + "# includes the centre pixel)\n", + "coords_left_half = (\n", + " (x, y) for x in range(array_size) for y in range(centre+1)\n", + ")\n", + "\n", + "# Sort points based on distance from centre\n", + "coords_left_half = sorted(\n", + " coords_left_half,\n", + " key=lambda x: calculate_distance_from_centre(x, centre)\n", + ")\n", + "\n", + "plt.set_cmap(\"gray\")\n", + "\n", + "ft = calculate_2dft(image)\n", + "\n", + "# Show grayscale image and its Fourier transform\n", + "plt.subplot(121)\n", + "plt.imshow(image)\n", + "plt.axis(\"off\")\n", + "plt.subplot(122)\n", + "plt.imshow(np.log(abs(ft)))\n", + "plt.axis(\"off\")\n", + "plt.pause(2)\n", + "\n", + "# Reconstruct image\n", + "fig = plt.figure()\n", + "# Step 1\n", + "# Set up empty arrays for final image and\n", + "# individual gratings\n", + "rec_image = np.zeros(image.shape)\n", + "individual_grating = np.zeros(\n", + " image.shape, dtype=\"complex\"\n", + ")\n", + "idx = 0\n", + "\n", + "# All steps are displayed until display_all_until value\n", + "display_all_until = 200\n", + "# After this, skip which steps to display using the\n", + "# display_step value\n", + "display_step = 10\n", + "# Work out index of next step to display\n", + "next_display = display_all_until + display_step\n", + "\n", + "# Step 2\n", + "for coords in coords_left_half:\n", + " # Central column: only include if points in top half of\n", + " # the central column\n", + " if not (coords[1] == centre and coords[0] > centre):\n", + " idx += 1\n", + " symm_coords = find_symmetric_coordinates(\n", + " coords, centre\n", + " )\n", + " # Step 3\n", + " # Copy values from Fourier transform into\n", + " # individual_grating for the pair of points in\n", + " # current iteration\n", + " individual_grating[coords] = ft[coords]\n", + " individual_grating[symm_coords] = ft[symm_coords]\n", + "\n", + " # Step 4\n", + " # Calculate inverse Fourier transform to give the\n", + " # reconstructed grating. Add this reconstructed\n", + " # grating to the reconstructed image\n", + " rec_grating = calculate_2dift(individual_grating)\n", + " rec_image += rec_grating\n", + "\n", + " # Clear individual_grating array, ready for\n", + " # next iteration\n", + " individual_grating[coords] = 0\n", + " individual_grating[symm_coords] = 0\n", + "\n", + " # Don't display every step\n", + " if idx < display_all_until or idx == next_display:\n", + " if idx > display_all_until:\n", + " next_display += display_step\n", + " # Accelerate animation the further the\n", + " # iteration runs by increasing\n", + " # display_step\n", + " display_step += 10\n", + " display_plots(rec_grating, rec_image, idx)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "d60f08d5", + "metadata": {}, + "source": [ + "## Zadanie 2" + ] + }, { "cell_type": "code", "execution_count": 1,