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@ctralie
Created September 5, 2022 14:46
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{
"cells": [
{
"cell_type": "markdown",
"id": "4411763d",
"metadata": {},
"source": [
"# Smooth Derivatives \n",
"\n",
"Computing smoothed estimates of derivatives of discrete signals by convolving with derivatives of Gaussians. More theory on page 3 of this classical paper\n",
"https://www.cs.ubc.ca/~mack/Publications/IEEE-PAMI86.pdf\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "508a8ee7",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.ndimage.filters import gaussian_filter1d as gf1d"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "6590c822",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"np.random.seed(0)\n",
"t = np.linspace(0, 2*np.pi, 1000)\n",
"y = np.abs(np.sin(t))*np.exp(-t/2)\n",
"y += 0.01*np.random.randn(y.size)\n",
"\n",
"# Do simple difference of adjacent samples to approximate the discrete derivative\n",
"yp = y[1::] - y[0:-1]\n",
"\n",
"# Compute the smoothed derivative by convolving with the derivative of a Gaussian\n",
"smooth_factor = 10 # Width of Gaussian, in samples\n",
"yp_smooth = gf1d(y, smooth_factor, order=1, mode = 'nearest')\n",
"\n",
"plt.figure(figsize=(12, 8))\n",
"plt.subplot(311)\n",
"plt.plot(y)\n",
"plt.title(\"Original Signal\")\n",
"plt.subplot(312)\n",
"plt.plot(yp)\n",
"plt.title(\"Pairwise Differencing\")\n",
"plt.subplot(313)\n",
"plt.plot(yp_smooth)\n",
"plt.title(\"Smoothed Derivative, Factor={}\".format(smooth_factor))\n",
"plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "29cf4859",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.9.7"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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