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@ajhalthor
Last active November 26, 2020 02:19
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plot_3d_animations.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "plot_3d_animations.ipynb",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyPGMbDJOKkwyA+9VACv/31z",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/ajhalthor/33533b4673ad6955e08a4005850b512f/plot_3d_animations.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "QirNjHjStNTS",
"colab_type": "code",
"colab": {}
},
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D \n",
"import matplotlib.animation as animation\n",
"import matplotlib"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "4bX-aZcFtWIk",
"colab_type": "code",
"colab": {}
},
"source": [
"N = 150 # Meshsize\n",
"fps = 10 # frame per sec\n",
"frn = 500 # frame number of the animation\n",
"\n",
"x = np.linspace(-4,4,N+1)\n",
"x, y = np.meshgrid(x, x)\n",
"zarray = np.zeros((N+1, N+1, frn))\n",
"\n",
"f = lambda x,y,sig : 1/np.sqrt(sig)*np.exp(-(x**2+y**2)/sig**2)\n",
"\n",
"for i in range(frn):\n",
" zarray[:,:,i] = f(x,y,1.5+np.sin(i*2*np.pi/frn))"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "CxeUVbh9jdLb",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 248
},
"outputId": "35289d96-bf9b-4aa0-f205-457d18c401c6"
},
"source": [
"def update_plot(frame_number, zarray, plot):\n",
" plot[0].remove()\n",
" plot[0] = ax.plot_surface(x, y, zarray[:,:,frame_number], cmap=\"magma\")\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"plot = [ax.plot_surface(x, y, zarray[:,:,0], color='0.75', rstride=1, cstride=1)]\n",
"ax.set_zlim(0,1.1)\n",
"ani = animation.FuncAnimation(fig, update_plot, frn, fargs=(zarray, plot), interval=1000/fps)"
],
"execution_count": 3,
"outputs": [
{
"output_type": "display_data",
"data": {
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41dzbeqTrpH4tLCxgGAbf933ftyumN81GuslkkomJCYQQnD17dpue2IxOvBN5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\nEUYY7yLCnW4YYYQRxruI/wfVv2La8zsaUgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "FFCuzj1bjgjs",
"colab_type": "code",
"colab": {}
},
"source": [
"fn = 'plot_surface_animation_funcanimation'\n",
"ani.save(fn+'.mp4',writer='ffmpeg',fps=fps, dpi=300)"
],
"execution_count": 0,
"outputs": []
}
]
}
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