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@npielawski
Last active October 18, 2023 18:45
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Boilerplate code to get started with patch interpolation
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Boilerplate code to get started with patch interpolation\n",
"### From the paper: Introducing Hann windows for reducing edge-effects in patch-based image segmentation\n",
"\n",
"Link: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0229839\n",
"\n",
"Copyright (c) 2020 Nicolas Pielawski - MIT License"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from IPython.display import clear_output"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x432 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import scipy.signal\n",
"import scipy.signal.windows as w\n",
"'''\n",
"Generates a 2D square image (of size window_size) containing a 2D user-defined\n",
"window with values ranging from 0 to 1.\n",
"It is possible to pass arguments to the window function by setting kwargs.\n",
"All available windows: https://docs.scipy.org/doc/scipy/reference/signal.windows.html\n",
"'''\n",
"def window2d(window_func, window_size, **kwargs):\n",
" window = np.matrix(window_func(M=window_size, sym=False, **kwargs))\n",
" return window.T.dot(window)\n",
"\n",
"fig, axes = plt.subplots(1, 3, figsize=(15, 6), sharey=True)\n",
"for i, ax in enumerate(axes.ravel()):\n",
" ax.set_xlabel(['(a)', '(b)', '(c)'][i], fontsize=20)\n",
" ax.set_xticks([])\n",
" ax.set_yticks([])\n",
" if i == 3:\n",
" pyra = get_loss_weight(128, 128, 1, stride_height=0, stride_width=0, batch_size=1, border =0)\n",
" ax.imshow(pyra, cmap='plasma')\n",
" else:\n",
" w_type = [w.hann, w.barthann, w.triang][i]\n",
" im = ax.imshow(window2d(w_type, 128), cmap='plasma', vmin=0, vmax=1)\n",
"plt.colorbar(im, ax=axes.flat, pad=0.04, fraction=0.0105)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"'''\n",
"Generates 9 2D square image (of size window_size) containing a 2D hanning window\n",
"with values ranging from 0 to 1. Those 9 images include the corner and border cases\n",
"so that we can have 100% covering of an image.\n",
"'''\n",
"def generate_corner_windows(window_func, window_size, **kwargs):\n",
" step = window_size >> 1\n",
" window = window2d(window_func, window_size, **kwargs)\n",
" window_u = np.vstack([np.tile(window[step:step+1, :], (step, 1)), window[step:, :]])\n",
" window_b = np.vstack([window[:step, :], np.tile(window[step:step+1, :], (step, 1))])\n",
" window_l = np.hstack([np.tile(window[:, step:step+1], (1, step)), window[:, step:]])\n",
" window_r = np.hstack([window[:, :step], np.tile(window[:, step:step+1], (1, step))])\n",
" window_ul = np.block([\n",
" [np.ones((step, step)), window_u[:step, step:]],\n",
" [window_l[step:, :step], window_l[step:, step:]]])\n",
" window_ur = np.block([\n",
" [window_u[:step, :step], np.ones((step, step))],\n",
" [window_r[step:, :step], window_r[step:, step:]]])\n",
" window_bl = np.block([\n",
" [window_l[:step, :step], window_l[:step, step:]],\n",
" [np.ones((step, step)), window_b[step:, step:]]])\n",
" window_br = np.block([\n",
" [window_r[:step, :step], window_r[:step, step:]],\n",
" [window_b[step:, :step], np.ones((step, step))]])\n",
" return np.array([\n",
" [ window_ul, window_u, window_ur ],\n",
" [ window_l, window, window_r ],\n",
" [ window_bl, window_b, window_br ],\n",
" ])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"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"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.0\n",
"CPU times: user 117 ms, sys: 230 µs, total: 118 ms\n",
"Wall time: 117 ms\n"
]
}
],
"source": [
"%%time\n",
"windows = generate_corner_windows(w.hann, 128)\n",
"\n",
"wind = w.hann(128)\n",
"wi = np.zeros_like(windows[1, 0])\n",
"isTrue = True\n",
"for i in range(128):\n",
" for j in range(128):\n",
" if i >= 64 and j <= 64: wi[j, i] = 1\n",
" elif i < 64 and j < 64: wi[j, i] = wind[i]\n",
" elif i > 64 and j > 64: wi[j, i] = wind[j]\n",
" else: wi[j, i] = wind[i]*wind[j]\n",
"plt.imshow(wi)\n",
"plt.show()\n",
"print(wi[64, 0])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x360 with 10 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(3, 3, figsize=(6, 5), sharex=True, sharey=True)\n",
"fig.suptitle('2D hann windows', fontsize=16)\n",
"for i in range(3):\n",
" for j in range(3):\n",
" im = ax[i, j].imshow(windows[i, j], cmap='plasma')\n",
" ax[i, j].set_xticks([])\n",
" ax[i, j].set_yticks([])\n",
"plt.colorbar(im, ax=ax.flat)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"'''\n",
"Returns all the possible coordinates and size of patches and appropriate windows\n",
"to use on a given image. The hanning option makes the windows overlap, by half\n",
"a window size. This changes the complexity as follows:\n",
"+=========+==================+\n",
"| hanning | complexity |\n",
"+=========+==================+\n",
"| False | O(N^2) |\n",
"| True | O(4N^2 - 4N + 1) |\n",
"+---------+------------------+\n",
"For a square image of size M with patches of size L, N the number of patches that\n",
"can fit one dimension of the image, N = int(M/L) \n",
"'''\n",
"def generate_patch_list(image_width, image_height, window_func, window_size, overlapping=False):\n",
" patch_list = []\n",
" if overlapping:\n",
" step = window_size >> 1\n",
" windows = generate_corner_windows(window_func, window_size)\n",
" max_height = int(image_height/step - 1)*step\n",
" max_width = int(image_width/step - 1)*step\n",
" else:\n",
" step = window_size\n",
" windows = np.ones((window_size, window_size))\n",
" max_height = int(image_height/step)*step\n",
" max_width = int(image_width/step)*step\n",
" for i in range(0, max_height, step):\n",
" for j in range(0, max_width, step):\n",
" if overlapping:\n",
" # Close to border and corner cases\n",
" # Default (1, 1) is regular center window\n",
" border_x, border_y = 1, 1\n",
" if i == 0: border_x = 0\n",
" if j == 0: border_y = 0\n",
" if i == max_height-step: border_x = 2\n",
" if j == max_width-step: border_y = 2\n",
" # Selecting the right window\n",
" current_window = windows[border_x, border_y]\n",
" else:\n",
" current_window = windows\n",
" # The patch is cropped when the patch size is not\n",
" # a multiple of the image size.\n",
" patch_height = window_size\n",
" if i+patch_height > image_height:\n",
" patch_height = image_height - i\n",
" patch_width = window_size\n",
" if j+patch_width > image_width:\n",
" patch_width = image_width - j\n",
" # Adding the patch\n",
" patch_list.append(\n",
" (j, i, patch_width, patch_height, current_window[:patch_height, :patch_width])\n",
" )\n",
" return patch_list"
]
},
{
"cell_type": "code",
"execution_count": 7,
"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": [
"''' Toy example of the usage of the 2D hanning windows '''\n",
"# Using the hanning windows? (~4 times slower, better quality)\n",
"use_hanning = True\n",
"# Update the plot at every iteration (cooler but much much slower)\n",
"online_plotting = False\n",
"window_func = w.hann\n",
"\n",
"M = np.zeros((1024, 1024)) # Output image\n",
"patch_list = generate_patch_list(1024, 1024, window_func, 128, use_hanning)\n",
"for patch in patch_list:\n",
" patch_x, patch_y, patch_width, patch_height, window = patch\n",
" # We generate our prediction\n",
" \"\"\" Comment this line with a # to switch to the neural network mode.\n",
" input_patch = input_image[patch_y:patch_y+patch_height, patch_x:patch_x+patch_width]\n",
" prediction = model(input_patch)\n",
" \"\"\"\n",
" prediction = np.ones_like(window) * np.random.randint(0, 2) # Simulated patch\n",
" #\"\"\"\n",
"\n",
" M[patch_y:patch_y+patch_height, patch_x:patch_x+patch_width] += prediction * window\n",
" if online_plotting:\n",
" clear_output(wait=True)\n",
" plt.imshow(M)\n",
" plt.show()\n",
"\n",
"if not online_plotting:\n",
" plt.imshow(M, vmin=0, vmax=1)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.9"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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