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@papr
Created September 28, 2021 16:33
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{
"cells": [
{
"cell_type": "markdown",
"source": [
"# Luminosity-based timeseries alignment\n",
"This notebook demonstrates how to:\n",
"1. extract the average frame luminosity from a set of videos\n",
"2. align them such they start at the same time\n",
"3. align them such that their luminosity is in sync\n",
"\n",
"This requires at least two Pupil-Player-compatible videos which both have recorded\n",
"a significant drop in luminosity, e.g. light being turned off and on."
],
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 37,
"source": [
"import os\n",
"\n",
"import av\n",
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns"
],
"outputs": [],
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 61,
"source": [
"path_to_videos = [\n",
" \"recordings/reference.mp4\",\n",
" \"recordings/synced_1.mp4\",\n",
" \"recordings/synced_2.mp4\",\n",
"]"
],
"outputs": [],
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 62,
"source": [
"def _get_ts_from_path(path):\n",
" base, _ = os.path.splitext(path)\n",
" return np.load(base + \"_timestamps.npy\")\n",
"\n",
"\n",
"def _mean_luminosity(path):\n",
" return [np.array(frame.to_image()).mean() for frame in av.open(path).decode(video=0)]\n",
"\n",
"\n",
"def load_luminosity(path):\n",
" return pd.DataFrame(\n",
" {\"ts\": _get_ts_from_path(path), \"luminosity\": _mean_luminosity(path)}\n",
" )"
],
"outputs": [],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"Extract luminosity. Can take a while based on the number of videos and their length."
],
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 63,
"source": [
"pd.concat(\n",
" [load_luminosity(path) for path in path_to_videos],\n",
" keys=path_to_videos,\n",
" names=[\"path\"],\n",
").to_parquet(\"luminosity.parquet\")"
],
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"st: 0 edit list: 1 Missing key frame while searching for timestamp: 1001\n",
"st: 0 edit list 1 Cannot find an index entry before timestamp: 1001.\n",
"deprecated pixel format used, make sure you did set range correctly\n"
]
}
],
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 72,
"source": [
"df = pd.read_parquet(\"luminosity.parquet\")\n",
"df.reset_index(level=\"path\", inplace=True)\n",
"df.groupby(\"path\").luminosity.describe()"
],
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" <tr>\n",
" <th>path</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>recordings/reference.mp4</th>\n",
" <td>7815.0</td>\n",
" <td>79.959016</td>\n",
" <td>9.212008</td>\n",
" <td>2.777406</td>\n",
" <td>76.586691</td>\n",
" <td>81.737334</td>\n",
" <td>83.073599</td>\n",
" <td>124.840302</td>\n",
" </tr>\n",
" <tr>\n",
" <th>recordings/synced_1.mp4</th>\n",
" <td>9362.0</td>\n",
" <td>118.307269</td>\n",
" <td>12.965351</td>\n",
" <td>3.758563</td>\n",
" <td>116.967993</td>\n",
" <td>120.908248</td>\n",
" <td>123.745509</td>\n",
" <td>137.330703</td>\n",
" </tr>\n",
" <tr>\n",
" <th>recordings/synced_2.mp4</th>\n",
" <td>9360.0</td>\n",
" <td>106.252832</td>\n",
" <td>13.514501</td>\n",
" <td>3.146379</td>\n",
" <td>100.985864</td>\n",
" <td>107.307189</td>\n",
" <td>113.277832</td>\n",
" <td>142.431233</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" count mean std min 25% \\\n",
"path \n",
"recordings/reference.mp4 7815.0 79.959016 9.212008 2.777406 76.586691 \n",
"recordings/synced_1.mp4 9362.0 118.307269 12.965351 3.758563 116.967993 \n",
"recordings/synced_2.mp4 9360.0 106.252832 13.514501 3.146379 100.985864 \n",
"\n",
" 50% 75% max \n",
"path \n",
"recordings/reference.mp4 81.737334 83.073599 124.840302 \n",
"recordings/synced_1.mp4 120.908248 123.745509 137.330703 \n",
"recordings/synced_2.mp4 107.307189 113.277832 142.431233 "
]
},
"metadata": {},
"execution_count": 72
}
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"## Unaligned luminosity timeseries"
],
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 69,
"source": [
"sns.relplot(\n",
" kind=\"line\",\n",
" data=df,\n",
" x=\"ts\",\n",
" y=\"luminosity\",\n",
" hue=\"path\",\n",
" aspect=2,\n",
" facet_kws=dict(legend_out=False),\n",
")"
],
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x141051eb0>"
]
},
"metadata": {},
"execution_count": 69
},
{
"output_type": "display_data",
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"## Default-alignment luminosity timeseries\n",
"Aligns timeseries such that the videos start at the same time"
],
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 70,
"source": [
"path_reference, *paths_others = path_to_videos\n",
"ts_reference_start = df.loc[df.path == path_reference, \"ts\"].min()\n",
"\n",
"offsets_default = {}\n",
"\n",
"for other_path in paths_others:\n",
" ts_other_start = df.loc[df.path == other_path, \"ts\"].min()\n",
" offsets_default[other_path] = ts_reference_start - ts_other_start\n",
"\n",
"display(offsets_default)\n",
"df_alignment_default = df.copy()\n",
"\n",
"for other_path in paths_others:\n",
" df_alignment_default.loc[\n",
" df_alignment_default.path == other_path, \"ts\"\n",
" ] += offsets_default[other_path]\n",
"\n",
"sns.relplot(\n",
" kind=\"line\",\n",
" data=df_alignment_default,\n",
" x=\"ts\",\n",
" y=\"luminosity\",\n",
" hue=\"path\",\n",
" aspect=2,\n",
" facet_kws=dict(legend_out=False),\n",
")"
],
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"{'recordings/synced_1.mp4': -748.876729146461,\n",
" 'recordings/synced_2.mp4': -748.937098}"
]
},
"metadata": {}
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x1409669d0>"
]
},
"metadata": {},
"execution_count": 70
},
{
"output_type": "display_data",
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"## Custom-alignment luminosity timeseries"
],
"metadata": {}
},
{
"cell_type": "code",
"execution_count": 80,
"source": [
"offsets_custom = {\n",
" \"recordings/synced_1.mp4\": -827.7,\n",
" \"recordings/synced_2.mp4\": -827.5,\n",
"}\n",
"\n",
"df_alignment_customs = df.copy()\n",
"\n",
"for other_path in paths_others:\n",
" df_alignment_customs.loc[\n",
" df_alignment_customs.path == other_path, \"ts\"\n",
" ] += offsets_custom[other_path]\n",
"\n",
"fg = sns.relplot(\n",
" kind=\"line\",\n",
" data=df_alignment_customs,\n",
" x=\"ts\",\n",
" y=\"luminosity\",\n",
" hue=\"path\",\n",
" aspect=2,\n",
" facet_kws=dict(legend_out=False),\n",
")"
],
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
],
"metadata": {}
},
{
"cell_type": "code",
"execution_count": null,
"source": [],
"outputs": [],
"metadata": {}
}
],
"metadata": {
"orig_nbformat": 4,
"language_info": {
"name": "python",
"version": "3.8.2",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"kernelspec": {
"name": "pupil",
"display_name": "pupil",
"language": "python"
},
"interpreter": {
"hash": "e2362e8e2f901f0280adab2d7b308d8e2b2087d0fb2073e6d0717e15b9db822e"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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