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@simecek
Created May 15, 2020 19:42
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Celuloid_Demo.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Celuloid_Demo.ipynb",
"provenance": [],
"authorship_tag": "ABX9TyOZCySvEEXCMFosVqGAEbDX",
"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/simecek/3086f1ec8aa222819c3007052aa0bef3/celuloid_demo.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "3gbABslyy751",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 204
},
"outputId": "99814904-802d-455b-8be5-4a09c4524c24"
},
"source": [
"!pip install celluloid"
],
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": [
"Collecting celluloid\n",
" Downloading https://files.pythonhosted.org/packages/60/a7/7fbe80721c6f1b7370c4e50c77abe31b4d5cfeb58873d4d32f48ae5a0bae/celluloid-0.2.0-py3-none-any.whl\n",
"Requirement already satisfied: matplotlib in /usr/local/lib/python3.6/dist-packages (from celluloid) (3.2.1)\n",
"Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.6/dist-packages (from matplotlib->celluloid) (2.8.1)\n",
"Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.6/dist-packages (from matplotlib->celluloid) (2.4.7)\n",
"Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.6/dist-packages (from matplotlib->celluloid) (0.10.0)\n",
"Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.6/dist-packages (from matplotlib->celluloid) (1.2.0)\n",
"Requirement already satisfied: numpy>=1.11 in /usr/local/lib/python3.6/dist-packages (from matplotlib->celluloid) (1.18.4)\n",
"Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.6/dist-packages (from python-dateutil>=2.1->matplotlib->celluloid) (1.12.0)\n",
"Installing collected packages: celluloid\n",
"Successfully installed celluloid-0.2.0\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "hCv5e8hpyzp5",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"outputId": "c62ab488-0623-4456-83b0-5930a7536a5f"
},
"source": [
"import numpy as np\n",
"#matplotlib.use('Agg')\n",
"from matplotlib import pyplot as plt\n",
"from celluloid import Camera\n",
"\n",
"fig = plt.figure()\n",
"camera = Camera(fig)\n",
"\n",
"t = np.linspace(0, 2 * np.pi, 128, endpoint=False)\n",
"for i in t:\n",
" plt.plot(t, np.sin(t + i), color='blue')\n",
" camera.snap()"
],
"execution_count": 2,
"outputs": [
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "UBx4By0ny3sF",
"colab_type": "code",
"colab": {}
},
"source": [
"animation = camera.animate(interval=50, blit=True)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "awuo5tHmzky_",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 68
},
"outputId": "65bfdf56-4472-426c-a1bb-765adc2f23c6"
},
"source": [
"animation.save(\n",
" 'sine.mp4',\n",
" dpi=100,\n",
" savefig_kwargs={\n",
" 'frameon': False,\n",
" 'pad_inches': 'tight'\n",
" }\n",
")"
],
"execution_count": 4,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:6: MatplotlibDeprecationWarning: \n",
"The frameon kwarg was deprecated in Matplotlib 3.1 and will be removed in 3.3. Use facecolor instead.\n",
" \n"
],
"name": "stderr"
}
]
}
]
}
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