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@keithshep
Last active March 28, 2018 15:31
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Create a 2D "Distance from Center" Map with numpy
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Create a 2D \"Distance from Center\" Map with numpy"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# imports and plot function in this cell\n",
"\n",
"%matplotlib inline\n",
"%load_ext autoreload\n",
"%autoreload 2\n",
"\n",
"from datetime import datetime\n",
"import os\n",
"import pathlib\n",
"import random\n",
"\n",
"import numpy as np\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"\n",
"plt.rcParams['image.interpolation'] = 'nearest'\n",
"my_cmap = matplotlib.cm.get_cmap('jet')\n",
"def plot_img_row(imgs, titles=[]):\n",
" f = plt.figure(figsize = (16, 8))\n",
" \n",
" vmin = 1e-5\n",
" vmax = vmin + 1e-5\n",
" for img in imgs:\n",
" if img.ndim == 2:\n",
" img_min = img.min()\n",
" img_max = img.max()\n",
" \n",
" if img_max > vmax:\n",
" vmax = img_max\n",
"\n",
" for i, img in enumerate(imgs):\n",
" f.add_subplot(1, len(imgs), i + 1)\n",
" plt.imshow(img, vmin=vmin, vmax=vmax, cmap=my_cmap)\n",
" if i < len(titles):\n",
" plt.title(titles[i])\n",
" plt.axis('off')\n",
" \n",
" plt.subplots_adjust(left=None, bottom=None, right=None, wspace=None, hspace=None)\n",
"\n",
" plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create a distance map centered at 0, 0"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[3 4]\n",
"[7 6]\n"
]
}
],
"source": [
"size = 512\n",
"x = np.arange(size)\n",
"x_mat = np.tile(x, size).reshape(size, size)\n",
"y_mat = x_mat.T\n",
"\n",
"xy_mat = np.stack([y_mat, x_mat], axis=2)\n",
"print(xy_mat[3, 4])\n",
"print(xy_mat[7, 6])"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f24705f3400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dist_mat = np.linalg.norm(xy_mat, axis=2)\n",
"plot_img_row([dist_mat])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Now move the center of the distance map to some x, y coordinate"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f24297996d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# how to offset center?\n",
"new_center_x = 128\n",
"new_center_y = 256\n",
"x = np.arange(-new_center_x, size - new_center_x)\n",
"y = np.arange(-new_center_y, size - new_center_y)\n",
"x_mat = np.tile(x, size).reshape(size, size)\n",
"y_mat = np.tile(y, size).reshape(size, size).T\n",
"xy_mat = np.stack([y_mat, x_mat], axis=2)\n",
"dist_mat = np.linalg.norm(xy_mat, axis=2)\n",
"plot_img_row([dist_mat])"
]
}
],
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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