132 lines
134 KiB
Plaintext
132 lines
134 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"\n",
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"# A demo of 1D interpolation\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"collapsed": false,
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"jupyter": {
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"outputs_hidden": false
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}
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},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 600x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
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"text/plain": [
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"<Figure size 600x400 with 1 Axes>"
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]
|
|
},
|
|
"metadata": {},
|
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"output_type": "display_data"
|
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},
|
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 600x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Generate data\n",
|
|
"import numpy as np\n",
|
|
"\n",
|
|
"rng = np.random.default_rng(27446968)\n",
|
|
"measured_time = np.linspace(0, 2 * np.pi, 20)\n",
|
|
"function = np.sin(measured_time)\n",
|
|
"noise = rng.normal(loc=0, scale=0.1, size=20)\n",
|
|
"measurements = function + noise\n",
|
|
"\n",
|
|
"# Smooth the curve and interpolate at new times\n",
|
|
"import scipy as sp\n",
|
|
"\n",
|
|
"smoothing_spline = sp.interpolate.make_smoothing_spline(measured_time, measurements)\n",
|
|
"interpolation_time = np.linspace(0, 2 * np.pi, 200)\n",
|
|
"smooth_results = smoothing_spline(interpolation_time)\n",
|
|
"\n",
|
|
"# Plot the data, the interpolant, and the original function\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"\n",
|
|
"plt.figure(figsize=(6, 4))\n",
|
|
"plt.plot(measured_time, measurements, \".\", ms=6, label=\"measurements\")\n",
|
|
"plt.plot(interpolation_time, smooth_results, label=\"smoothing spline\")\n",
|
|
"plt.plot(interpolation_time, np.sin(interpolation_time), \"--\", label=\"underlying curve\")\n",
|
|
"plt.legend()\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"# Fit the data exactly\n",
|
|
"interp_spline = sp.interpolate.make_interp_spline(measured_time, function)\n",
|
|
"interp_results = interp_spline(interpolation_time)\n",
|
|
"\n",
|
|
"# Plot the data, the interpolant, and the original function\n",
|
|
"plt.figure(figsize=(6, 4))\n",
|
|
"plt.plot(measured_time, function, \".\", ms=6, label=\"measurements\")\n",
|
|
"plt.plot(interpolation_time, interp_results, label=\"interpolating spline\")\n",
|
|
"plt.plot(interpolation_time, np.sin(interpolation_time), \"--\", label=\"underlying curve\")\n",
|
|
"plt.legend()\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"# Plot interpolant, its derivative, and its antiderivative\n",
|
|
"plt.figure(figsize=(6, 4))\n",
|
|
"t = interpolation_time\n",
|
|
"plt.plot(t, interp_spline(t), label=\"spline\")\n",
|
|
"plt.plot(t, interp_spline.derivative()(t), label=\"derivative\")\n",
|
|
"plt.plot(t, interp_spline.antiderivative()(t) - 1, label=\"antiderivative\")\n",
|
|
"\n",
|
|
"plt.legend()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"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": "3.12.11"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 4
|
|
}
|