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@jcreinhold
Last active September 10, 2021 17:05
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Filter in frequency w/ zero padding
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "5b28de92-4992-47f1-8af7-cb31eeaaede3",
"metadata": {},
"outputs": [],
"source": [
"import platform\n",
"from typing import Optional, Tuple\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import scipy\n",
"from scipy import signal\n",
"from scipy.fft import fft2, ifft2, rfft2, irfft2\n",
"from scipy.ndimage import gaussian_filter\n",
"import skimage\n",
"from skimage.color import rgb2gray\n",
"from skimage.data import astronaut"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "0bfb41c8-2bc9-4602-bb16-455242726757",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"matplotlib version: 3.4.2\n",
"numpy version: 1.20.3\n",
"scipy version: 1.7.1\n",
"skimage version: 0.18.3\n"
]
}
],
"source": [
"from matplotlib import __version__ as mplver\n",
"print(f\"matplotlib version: {mplver}\")\n",
"print(f\"numpy version: {np.__version__}\")\n",
"print(f\"scipy version: {scipy.__version__}\")\n",
"print(f\"skimage version: {skimage.__version__}\")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "c91feccb-6788-441f-bb7f-3c16aa8597e8",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"python version: 3.8.11\n",
"python build: CPython\n"
]
}
],
"source": [
"pv = platform.python_version()\n",
"pi = platform.python_implementation()\n",
"print(f\"python version: {pv}\")\n",
"print(f\"python build: {pi}\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "8867dc41-c736-43e0-9236-9a0d58b7fd47",
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "d7f0c856-b42b-4443-9767-a60531a8f645",
"metadata": {},
"outputs": [],
"source": [
"_fft2, _ifft2 = fft2, ifft2\n",
"\n",
"class GaussianKernel2d:\n",
" \n",
" def __init__(self, size: int, sigma: float=1.0):\n",
" kernel = np.outer(\n",
" signal.windows.gaussian(size, sigma),\n",
" signal.windows.gaussian(size, sigma)\n",
" )\n",
" kernel /= kernel.sum()\n",
" self.kernel = kernel\n",
" self.sigma = sigma\n",
"\n",
" def zero_pad_like(\n",
" self, \n",
" image: np.ndarray, \n",
" inplace: bool=False\n",
" ) -> Optional[np.ndarray]:\n",
" target_shape = np.asarray(image.shape)\n",
" kernel_shape = np.asarray(self.kernel.shape)\n",
" assert len(target_shape) == len(kernel_shape)\n",
" if np.any(target_shape != kernel_shape):\n",
" _pad_width = target_shape - kernel_shape\n",
" pad_width = [(0, p) for p in _pad_width]\n",
" new_kernel = np.pad(self.kernel, pad_width)\n",
" assert new_kernel.shape == image.shape\n",
" else:\n",
" new_kernel = kernel\n",
" if inplace:\n",
" self.kernel = new_kernel\n",
" else:\n",
" return new_kernel\n",
" \n",
" @staticmethod\n",
" def _centered(array: np.ndarray, new_shape: Tuple[int, int]) -> np.ndarray:\n",
" \"\"\"return the center new_shape portion of the array\"\"\"\n",
" new_shape = np.asarray(new_shape)\n",
" current_shape = np.array(array.shape)\n",
" start_indices = (current_shape - new_shape) // 2\n",
" end_indices = start_indices + new_shape\n",
" center_slice = map(slice, start_indices, end_indices)\n",
" return array[tuple(center_slice)]\n",
" \n",
" def manual_filter_image(self, image: np.ndarray) -> np.ndarray:\n",
" \"\"\"manually pad image and kernel\"\"\"\n",
" output_shape = np.asarray(image.shape)\n",
" pad_width = [(0, p-1) for p in self.kernel.shape]\n",
" padded_image = np.pad(image, pad_width)\n",
" padded_kernel = self.zero_pad_like(padded_image)\n",
" fourier_kernel = _fft2(padded_kernel)\n",
" fourier_image = _fft2(padded_image)\n",
" fourier_filtered = fourier_kernel * fourier_image\n",
" filtered_image_complex = _ifft2(fourier_filtered)\n",
" assert filtered_image_complex.imag.max() < 1e-6\n",
" filtered_image = filtered_image_complex.real\n",
" unpadded_filtered_image = self._centered(filtered_image, output_shape)\n",
" return unpadded_filtered_image\n",
" \n",
" def auto_filter_image(self, image: np.ndarray) -> np.ndarray:\n",
" \"\"\"use fft functionality to pad image and kernel\"\"\"\n",
" output_shape = np.asarray(image.shape)\n",
" kernel_shape = np.asarray(self.kernel.shape)\n",
" fshape = output_shape + kernel_shape - 1\n",
" pad_width = (fshape - output_shape) // 2\n",
" fourier_kernel = _fft2(self.kernel, s=fshape)\n",
" fourier_image = _fft2(image, s=fshape)\n",
" fourier_filtered = fourier_kernel * fourier_image\n",
" filtered_image_complex = _ifft2(fourier_filtered, s=fshape)\n",
" assert filtered_image_complex.imag.max() < 1e-6\n",
" filtered_image = filtered_image_complex.real\n",
" unpadded_filtered_image = self._centered(filtered_image, output_shape)\n",
" return unpadded_filtered_image\n",
" \n",
" def filter_image(self, image: np.ndarray, use_auto: bool=True) -> np.ndarray:\n",
" return self.auto_filter_image(image) if use_auto else self.manual_filter_image(image)\n",
" \n",
" def __array__(self) -> np.ndarray:\n",
" return self.kernel\n",
" \n",
" def shape(self) -> Tuple[int, int]:\n",
" return self.kernel.shape"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "b13a0f9b-978d-40da-b9c6-6cb838d0122e",
"metadata": {},
"outputs": [],
"source": [
"sigma = 2.0\n",
"k = GaussianKernel2d(32, sigma)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "05b14564-a6c8-488a-8ea5-039b755d15ca",
"metadata": {},
"outputs": [],
"source": [
"def imshow(image, title: str=None, grey: bool=False):\n",
" cmap = \"Greys_r\" if grey else None\n",
" plt.imshow(image, cmap=cmap)\n",
" plt.axis(\"off\")\n",
" if title is not None:\n",
" plt.title(title)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "c5fec44e-3d22-4ea0-8bc1-6fbd37bd87ce",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"imshow(k, \"Example Gaussian kernel\");"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "38f11215-f303-44ca-b39a-47a983b3c00d",
"metadata": {},
"outputs": [],
"source": [
"image = rgb2gray(astronaut())"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "f0962d49-a03a-4bd7-ab91-e830dd9c939d",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"imshow(image, grey=True);"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "169dd104-3f9d-4343-8b54-ba9746dbc792",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"imshow(k.zero_pad_like(image), \"Example zero-padded kernel\");"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "3b70dc6b-fb7f-4c5e-b122-d835374fe8c0",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"scipy_filtered = gaussian_filter(image, sigma)\n",
"imshow(scipy_filtered, grey=True);"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "aa6e6b51-f231-45cf-920f-3ff8e4bd5be1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"scipy_fft_filtered = signal.fftconvolve(image, k, mode=\"same\")\n",
"imshow(scipy_fft_filtered, grey=True);"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "4301441e-a1c6-4a2c-9069-ec93279a5337",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"custom_manual_filtered = k.filter_image(image, use_auto=False)\n",
"imshow(custom_manual_filtered, grey=True);"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "2552ff47-0e6e-432f-bc78-5287fbbb7aaa",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"custom_auto_filtered = k.filter_image(image, use_auto=True)\n",
"imshow(custom_auto_filtered, grey=True);"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "b7b07991-e567-49fe-abe3-776185b206d0",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"diff = np.abs(custom_auto_filtered - custom_manual_filtered)\n",
"imshow(diff, title=f\"Diff. max: {diff.max()}\", grey=True);"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "fb4a2961-0e54-4cdb-bb9b-b74683e56edc",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"diff = np.abs(custom_auto_filtered - scipy_filtered)\n",
"imshow(diff, title=f\"Diff. max: {diff.max()}\", grey=True);"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "2a5f2b8c-cc9f-4987-97c9-2c72b574d88b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"diff = np.abs(custom_auto_filtered - scipy_fft_filtered)\n",
"imshow(diff, title=f\"Diff. max: {diff.max()}\", grey=True);"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "0a9d41fd-f348-4744-b414-cbee2bd275b0",
"metadata": {},
"outputs": [],
"source": [
"from scipy.signal import convolve2d"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "684d54e5-c403-49dd-b742-724fe28cc503",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"nonfrequency_filtered = convolve2d(image, k, mode=\"same\", boundary=\"symm\")\n",
"imshow(nonfrequency_filtered, grey=True)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "1bc78374-c0b8-45e4-8d68-aaa7474739a2",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda env:pyro] *",
"language": "python",
"name": "conda-env-pyro-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.11"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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