{ "cells": [ { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The autoreload extension is already loaded. To reload it, use:\n", " %reload_ext autoreload\n" ] } ], "source": [ "import sys\n", "sys.path.append('./notebooks')\n", "from gps_utils import rdp\n", "\n", "import matplotlib.pyplot as plt\n", "plt.rcParams['axes.xmargin'] = 0.1\n", "plt.rcParams['axes.ymargin'] = 0.1\n", "%matplotlib inline\n", "\n", "import seaborn as sns\n", "sns.set_style(\"whitegrid\")\n", "sns.set_context(\"talk\")\n", "\n", "%load_ext autoreload\n", "%autoreload 2\n", "\n", "# to suppress warnings of Seaborn's deprecated usage of Matplotlib\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "import numpy as np\n", "import pandas as pd\n", "\n", "from pykalman import KalmanFilter" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "
\n", "

Handling GPS data with Python

\n", "\n", "

Dr. Florian Wilhelm

\n", "

Senior Data Scientist @ inovex

\n", "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Motivation\n", "\n", "* Project work and general interest\n", "* Hard to find information about Python libraries\n", "* Interest in the mathematical algorithms of that domain\n", "* Needed a subject for a EuroPython talk ;-)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# GPX: GPS Exchange Format\n", "\n", "* common GPS data format\n", "* based on XML schema\n", "* describes waypoints, routes and tracks\n", "* GPS coordinates based GS-84 ellipsoid, height in meters\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# General structure\n", "\n", "```xml\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Example from Polar Flow\n", "```xml\n", "\n", "\n", " \n", " \n", " Polar\n", " \n", " \n", " \n", " \n", " \n", " \n", " 17.0\n", " \n", " \n", " \n", " 17.0\n", " \n", " \n", " \n", " \n", " \n", "\n", "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# gpxpy: GPX file parser\n", "\n", "* for reading and writing GPX files\n", "* licensed unter Apache 2.0\n", "* contains `gpxinfo` cli tool for basic stats\n", "* Python 3 compatible\n", "* written by Tomo Krajina\n", "* used by http://www.trackprofiler.com/" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "import gpxpy\n", "\n", "with open('./gpx/hh_marathon.gpx') as fh:\n", " gpx_file = gpxpy.parse(fh)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false, "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "
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elelatlon
time
2016-04-17 08:02:1217.053.5605919.975599
2016-04-17 08:02:1317.053.5605919.975599
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" ], "text/plain": [ " ele lat lon\n", "time \n", "2016-04-17 08:02:12 17.0 53.560591 9.975599\n", "2016-04-17 08:02:13 17.0 53.560591 9.975599\n", "2016-04-17 08:02:14 17.0 53.560561 9.975591" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "segment = gpx_file.tracks[0].segments[0]\n", "coords = pd.DataFrame([\n", " {'lat': p.latitude, \n", " 'lon': p.longitude, \n", " 'ele': p.elevation,\n", " 'time': p.time} for p in segment.points])\n", "coords.set_index('time', drop=True, inplace=True)\n", "coords.head(3)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Plotting a track" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false, "scrolled": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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ERNyWYRjsPlTMa+8f5uDxi88njk7sxf3ThpFwhSVxXMk+VsbSP2dSXFEPwLiRvfnXbyYT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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(coords['lon'].values, coords['lat'].values);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## ... and the actual GPS coordinates" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false, "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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NGwYdFk/88pfShAn212XWvn3GTG7CIlCpCIwAUF2cPy9df7108WJQh/u2bdPFBx6wt6bV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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(coords['lon'].values, coords['lat'].values)\n", "plt.plot(coords['lon'].values, coords['lat'].values, 'ro');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Ohh! Need to reduce the number of points!" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false, "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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w4hC1BsaCggIOHz7MsmXLGDJkCKNGjWLVqlUA+J1dPxEbG8vYsWMZNGgQUVFR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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(coords['lon'].values, coords['lat'].values)\n", "plt.plot(coords['lon'].values[::150], coords['lat'].values[::150], 'ro');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Simplifying GPS tracks \n", "\n", "Most GPS sensors have a uniform sampling rate leading to overly many points on almost straight lines.\n", "\n", "## How can we reduce the number of points?\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "
\n", "

Ramer-Douglas-Peucker algorithm

\n", "
\n", " \n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
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\n", "
" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false, "scrolled": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "12072 points reduced to 193!\n" ] }, { "data": { "image/png": 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GLFiwoMk1goODERUVhccffxwAMHjwYNx999344osvcN9996G6urrJ+SaTCaGh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\nBgzAmDFjFJXR0vr163HixAk88MADTleEiIiIiLxDUQvjmTN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jAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "simple_coords = rdp(coords[['lon', 'lat']].values, epsilon=1e-4)\n", "print(\"{} points reduced to {}!\".format(coords.shape[0], simple_coords.shape[0]))\n", "plt.plot(simple_coords[:, 0], simple_coords[:, 1])\n", "plt.plot(simple_coords[:, 0], simple_coords[:, 1], 'ro');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Elevation of a GPS track" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "with open('./gpx/3-laender-giro.gpx') as fh:\n", " gpx_file = gpxpy.parse(fh)\n", " \n", "segment = gpx_file.tracks[0].segments[0]\n", "coords = pd.DataFrame([{'lat': p.latitude, \n", " 'lon': p.longitude, \n", " 'ele': p.elevation,\n", " 'time': p.time} for p in segment.points])\n", "coords.set_index('time', drop=True, inplace=True)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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2bRqef/55vPjii8JxJycn7N+/HwAwZ84cXLt2DRs2bMCTTz4JABg7diw2b96Mfv36QaFQ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\nyYv3CeVhfTqgXQtHjOjnAwB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VjAdPSS9AebkGCoXZtqs0m/jkbIMVMBY81lbEaMyDTCbD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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coords.ele.plot();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## ... but what if the elevation was missing?" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "# Delete elevation data\n", "for p in gpx_file.tracks[0].segments[0].points:\n", " p.elevation = None" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# srtm.py: add missing GPS elevation\n", "\n", "* parser for the [Shuttle Radar Topography Mission elevation data](http://www2.jpl.nasa.gov/srtm/)\n", "* extension for `gpxpy`\n", "* licensed under Apache 2.0\n", "* Python 3 compatible\n", "* written by Tomo Krajina\n", "* used by http://www.trackprofiler.com/" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "import srtm\n", "elevation_data = srtm.get_data()\n", "elevation_data.add_elevations(gpx_file, smooth=True)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false, "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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S7t56bEClnYOqdr7v7nwrk1fOBMDXEkChK488V1aVqvF8VLXz7e10vs/fWQPe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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coords['srtm'] = [p.elevation for p in gpx_file.tracks[0].segments[0].points]\n", "coords[['ele','srtm']].plot(title='Elevation');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# mplleaflet: interactive Leaflet web maps\n", "\n", "* converts a matplotlib plot into a pannable, zoomable slippy map\n", "* extremely easy to use\n", "* licensed under new-BSD\n", "* integrates well with Jupyter\n", "* Python 3 compatible\n", "* tracks should be simplified with Ramer-Douglas-Peucker algorithm first" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "subslide" } }, "source": [ "# First we start with a matplotlib plot..." ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false, "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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GLFiwoMk1goODERUVhccffxwAMHjwYNx999344osvcN9996G6urrJ+SaTCaGh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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "plt.plot(simple_coords[:,0], simple_coords[:,1])\n", "plt.plot(simple_coords[:,0], simple_coords[:,1], 'ro');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# ... and project it onto OpenStreetMap" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false, "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import mplleaflet\n", "mplleaflet.display(fig=fig) # .show(fig=fig) to display in new window" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false, "scrolled": true, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "data": { "image/png": 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zEBJRCBgKiYhCMXAgkJHRdefrOJGEk0qIKEwYComIQvWrX3XduTiRhIgihKGQ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\n3rp1S52dnVpYWAie7/V6V/0vCuYKJ8+pqalV725bXFxUcnI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# prepare 3-laender-giro gps track\n", "fig = plt.figure()\n", "simple_coords = rdp(coords[['lon', 'lat']].values, epsilon=0.0003)\n", "plt.plot(simple_coords[:, 0], simple_coords[:, 1])\n", "plt.plot(simple_coords[:, 0], simple_coords[:, 1], 'ro');" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false, "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mplleaflet.display(fig=fig)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# we reload again since we changed the elevation\n", "with open('./gpx/3-laender-giro.gpx') as fh:\n", " gpx_file = gpxpy.parse(fh)\n", "segment = gpx_file.tracks[0].segments[0]" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Some curiosities..." ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false, "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "UphillDownhill(uphill=4446.100000000043, downhill=4439.100000000031)" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gpx_file.get_uphill_downhill()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "### Didn't the organiser say something about roughly 2700hm?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# These bumps seem quite unrealistic" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": true, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "plt.rcParams['axes.xmargin'] = 0.0\n", "plt.rcParams['axes.ymargin'] = 0.0" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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AgPcZE9SmTy5QcWGeJBoKAACAGYwJaj6fTzWVNBQAAABzGBPUJKmGhgIAAGAQo4Ial7MD\nAACTGBXU7KukOrvD6u4bcrgaAACAiTEsqJUmf82sGgAA8DqjglpJUb7KJhdIYp8aAADwPqOCmnSy\noYAjOgAAgNeZF9SG96k1t/U4XAkAAMDEmBfURnR+WpblcDUAAADjZ1xQs4/o6B+M6ujxAYerAQAA\nGD/jgtqc8hL5/T5JdH4CAABvMy6o5ecFNKusWBINBQAAwNuMC2rSyKukaCgAAADeZWZQq+QqKQAA\n4H1GBrXamYkbCg4e6VE0Fne4GgAAgPExMqjZS5/RmKVDR3sdrgYAAGB8jAxqFdOKlZ8XkMRVUgAA\nwLuMDGoBv0/Vwxe0N3FDAQAA8Cgjg5ok1doNBcyoAQAAjzI2qNUMNxRwlhoAAPAqc4Pa8Ixae2e/\nBsJRh6sBAAAYO2ODmn3npyQ1c54aAADwIGOD2pTSkEqL8iVJjdxQAAAAPMjYoObz+ZKzasyoAQAA\nLzI2qEk0FAAAAG8zOqjZM2rc+QkAALzI6KBmd3529Q7pRE/Y4WoAAADGxuigZt9OIHHwLQAA8B6j\ng1pRQZ7KpxVJkhpZ/gQAAB6TclDr6OjQpZdeqi1btmSynrSrse/8ZEYNAAB4TMpB7f7771dXV1cm\na8kIGgoAAIBXpRTUnn32WRUXF6uysjLT9aSd3VDQ3NajeNxyuBoAAIDUjRrUDhw4oPXr1+uhhx6S\nZXkv6NQMz6gNDsV05Hi/w9UAAACkLni634zFYrrvvvv0wAMPaNKkSaf7UteaPaNEAb9PsbiljVv+\nR1XlJWl/RjAY0NLzZ2pScX7a3xsAAOSu0wa1devW6ZxzztHll18+oYeEw86eYTZrRrFa2nv1s1cP\nZOwZb73brrtvviBj7+8G9jg6PZ5ID8bTLIynWRhPs0xkHH3WadYzr732WnV0dMjn80mSenp6VFhY\nqLVr12r16tUpPWDHjh3jLi5dftfUr5f3dCuWgT1q4Yil/nBcU4oDuue6mWl/fwAAYIb6+vox/5nT\nBrX3W7ZsmR588EH9/u//fsoP2LFjh+bNm6dQKDTm4rxgd8MxfW39dknS03/9ByoMnXaS0tPC4bAa\nGhqMHs9cwniahfE0C+NpFns8xxPUxpQq7Jm1sQqFQiooKBjXn3W7s6qnJ3/dfnxI82vTvwfObUwe\nz1zEeJqF8TQL44kxBbWXXnopU3V41pTSkCYV56u7b0iNrd2aXzvN6ZIAAIAhjL5CKht8Ph+H6gIA\ngIwgqKWBfVZbU2uPw5UAAACTENTSwL5PtLG125OHAgMAAHciqKWBPaPW0z+kEz2ceQMAANKDoJYG\n1RWlyV83trJPDQAApAdBLQ2KCvJUPq1IEg0FAAAgfQhqaVJbSUMBAABIL4JamtTMHG4oYEYNAACk\nCUEtTWqGZ9Sa23oycqcoAADIPQS1NLEPvR2KxNTe2edwNQAAwAQEtTSZNaNEwUDiLtQmOj8BAEAa\nENTSJC/o1+wZiQvZG2koAAAAaUBQS6Ma7vwEAABpRFBLo+Tl7Cx9AgCANCCopZHd+Xm4o09DkZjD\n1QAAAK8jqKWRvfQZj1s6eKTX4WoAAIDXEdTSqHxqoQpDAUnc+QkAACaOoJZGPp9P1ZXsUwMAAOlB\nUEuzWjo/AQBAmhDU0qyGGTUAAJAmBLU0sy9n7+gaVG//kMPVAAAALyOopZk9oyZJTW3cUAAAAMaP\noJZmk0tCmloaksQ+NQAAMDEEtQywz1PjiA4AADARBLUMoKEAAACkA0EtA2qHGwqa2npkWZbD1QAA\nAK8iqGWAvfTZNxDRsa5Bh6sBAABeRVDLgKqKUvl8iV+zTw0AAIwXQS0DCvKDqpxeLElqpvMTAACM\nE0EtQ2rp/AQAABNEUMuQ6srhhoJWDr0FAADjQ1DLEHtGreVIj2KxuMPVAAAALyKoZYh9llokGtfh\njj6HqwEAAF5EUMuQWWXFygsmPl6ukgIAAONBUMuQQMCvqnL2qQEAgPEjqGVQTfKGAmbUAADA2BHU\nMsjep8YRHQAAYDwIahlkXyXVdqxPg0NRh6sBAABeQ1DLIPuIDsuSWtrZpwYAAMaGoJZB0ycXqLgg\nKElqYvkTAACMEUEtg3w+X3L5s6mNGTUAADA2BLUMq+HOTwAAME4EtQyz96mx9AkAAMaKoJZh9hEd\nx3vC6uoNO1wNAADwEoJahtVUliZ/3cw+NQAAMAYEtQwrKcpX2eQCSexTAwAAY0NQy4LqZOcnQQ0A\nAKSOoJYFtZU0FAAAgLEjqGXByLPULMtyuBoAAOAVBLUssBsKBsJRHTk+4HA1AADAKwhqWVBVUSq/\n3yeJfWoAACB1BLUsyM8LaFZZsST2qQEAgNQR1LLEPviWIzoAAECqCGpZYjcUcOgtAABIFUEtS2pn\nJhoKDh7pUTQWd7gaAADgBQS1LLGXPqMxS4eO9DpcDQAA8AKCWpZUTC9Wfl5AEp2fAAAgNSkFtU2b\nNmn58uWqq6vTihUrtHnz5kzXZZyA36fq4fPUaCgAAACpCI72BY2Njbr//vv11FNP6cILL9Trr7+u\n22+/Xb/+9a81ZcqUbNRojJrKUjW0nFBTKw0FAABgdKMGtdraWr322msqLCxUNBrV0aNHVVJSory8\nvGzUZ5RaLmcHAABjMGpQk6TCwkIdPHhQ11xzjSzL0kMPPaTi4uJM12Ycu6GgvbNf/YMRFRUQdgEA\nwEdLKahJ0qxZs7R7925t27ZNa9euVU1NjRYvXpzSnw2Hw+Mu0CSVU0PJX3/uaz9PXivlFZZlKRaP\nK/B/2+Tzpb/236+bpc8sn5/293WLvsGI/uapHWo71u90KZIkv0+6dH6x5s3j76cJ7J+z/Lw1A+Np\nlomMY8pBze9P9B0sWbJE11xzjTZv3pxyUGtoaBhfdYaxLEvTSoPq7ImqbzDqdDkTkJlz4H76apMu\nmB1RftDMZuQ9jf16r6XL6TJO8erbPVp8Nn8/TcLPW7Mwnhg1qG3ZskVPPfWU1q9fn3wtEolo0qRJ\nKT9k3rx5CoVCo39hDvjbqnl6u/G4LFlOlzJm0UhUbe3tqqyoUDAv5Yw/qsFwTP/yo32SpNLp1Zo3\nZ3La3ttNdh16V1KnZpYV6aZlZzpaS1tHv/7jl/+j7v6YZs2p1dTJbGXwunA4rIaGBn7eGoLxNIs9\nnuMx6r9tzz33XO3du1c//vGPtWLFCr3yyit65ZVX9IUvfCHlh4RCIRUUFIyrQNPMLijQ7ApvdssO\nDg5q794enXtudVrH07Isbfj5e+obiKj12KDOm1eRtvd2k4NHE0ue584t0ycWn+FoLV29Yf3HL/9H\nktR+YkgzK6Y7Wg/Sh5+3ZmE8MeoaU1lZmf7pn/5J3//+93XJJZfoH//xH/Wd73xHc+fOzUZ9yAE+\nn29ER6y5R5fY35t976uTJpeENLkkX5LU0s5NGQDgVimtX9XX1+uFF17IdC3IYTWVpdq7/5iaDD0M\nuH8woiOdiRk1+95Xp1VXlGpP7zGjwzEAeJ2Zu7bhOfaMWqOhZ8w1jwhDbphRk6TqyhJJUjMzagDg\nWgQ1uEL18BlzJ3rC6uo1rx3dPuR4UnG+ppS4Y2NwdXkiqLW098qyvNfcAgC5gKAGVxg5y2TizQ32\n/a61Mydl5Ay68bDvnu0diKize9DhagAAH4agBlcoKcxT2ZRCSWZeWm/f7+qWZU9JmlN+8kgO7p8F\nAHciqME1aoZneJoN29xuWVYyfNrfoxsU5Ac1tSQgycxwDAAmIKjBNZINBYaFhhM9YfX0D0ly14ya\nJFVMSdw3a+JyMwCYgKAG17BDTHNbt+Jxcza3jwye1RXumVGTpHKCGgC4GkENrlEz3Pk5EI7p6IkB\nh6tJH/ucsvJpRSoqyHO4mlOVT07U09LWo5hB4RgATEFQg2tUVZTI7090RJp08K39vdRWumvZUzq5\n9DkUjavtWJ/D1QAA3o+gBtfICwY0e0aiE9GkfWr2Ib41LrmRYKRppUEFA4lwbNJnDgCmIKjBVeyD\nb02ZUYvFrWQXa63LGgkkKeD3afaMxMG3pnzmAGASghpc5eTl7GaEhvbOPg1FYpJO7sFzG/sqKVM+\ncwAwCUENrmKHmYNHehWJxh2uZuLsWapgwKfZw1c2uU3NcCcqM2oA4D4ENbiKvY8rFrd06Kj3Lwtv\nHD7xf055qYIBd/51q6pIBMjWjj6Fh2f/AADu4M5/cyBnVU4rVig/cVq+CTM89nJitYtuJHi/6uGg\nFrcSx3QAANyDoAZX8ft9yUNhTdgz1TTiMna3mj65QMUFQUlmfOYAYBKCGlzH3qfm9eMihiIxHe5I\nnE3mtqujRvL5fMluW69/5gBgGoIaXKcm2fnp7WW4g0d6k1dhubXj05bstiWoAYCrENTgOrXDDQVH\nOvvVPxhxuJrxs2enCkNBlU8tdLia0zMlHAOAaQhqcJ2Rs0/NHg4O9uxUTWWpfD6fw9WcXs1ws0Nn\n96B6+occrgYAYCOowXWmlIY0qThfkrc3tzclr45y97KndGqzA/vUAMA9CGpwHZ/PlwwOXg4NJ2fU\n3B/USoryNX1ygSSp2cOfOQCYhqAGV7LPHWtq9ebSZ2//kDq6BiW5+2iOkZLdth5ebgYA0xDU4Eoj\nZ9Qsy3K4mrEbuSnfzYfdjlRD5ycAuA5BDa5kh4ae/iGd6Ak7XM3Y2fvTppaGNLkk5HA1qbG7bZva\nvBmOAcBEBDW4kn07geTNfWp2zV5oJLDZS5/9g1EdPTHgcDUAAImgBpcqKshT+bQiSd4828s+VsQr\n+9MkaU5FqfzDp4iw/AkA7kBQg2vVVnpzz5RlWSdn1DyyP02SQnkBzSxLXNDuxVlMADARQQ2uVTO8\nZ6rRY2epHesaVN9A4kYFLy19SidnAL180DAAmISgBtey90w1t/Uk78z0AruRwOeTqiq8M6MmnZwB\nZEYNANyBoAbXsmd3hiIxtXX2OVxN6uyl2srpxSrIDzpczdjYM4AHj/QoGos7XA0AgKAG15o1o0TB\nQGJ3u5f2qdmzUV5qJLDZNUdjlg4f7XW4GgAAQQ2ulRf0a/aMxOZ2L3V+2rV64eqo96uYXqz8vIAk\n794KAQAmIajB1Wo8dudnLBZXS7v3juawBfw+VVcMd356rIkDAExEUIOr1XrsWqPDHX2KRBN7u7xy\nddT7cZUUALgHQQ2uZi8fHu7o01Ak5nA1o7M7PvOCfs0qK3a4mvGxP/MmZtQAwHEENbiaPbsTj1s6\neMT9m9vtfV1VFaUKBLz518v+zNuO9WsgHHW4GgDIbd78NwlyRvnUQhWGEpvbvbBPzZ6F8tKNBO83\ncm9dM7NqAOAoghpczefzqdpDV0l5+WgO29TSkEqL8iR5q9sWAExEUIPrJRsKXD67MzgUVduxxMG8\nXrs6aiSfz0dDAQC4BEENrlfjkRm1lvYeWcM3XXnxDLWRaiu9dSwKAJiKoAbXsy9n7+gaVG//kMPV\nfDQ7SBYX5mn65AKHq5mYai5nBwBXIKjB9UbOTrl5z5RdW+3MSfL5fA5XMzH2jNqJ3rBO9IQdrgYA\nchdBDa43uSSkqaUhSe7ep2YvE3r1oNuR7FlMyf1LzgBgMoIaPKHGA3ummgzo+LQVFeRpxtRCSe4O\nxwBgOoIaPKHG5XumunrDOj68ROj1RgKbF8IxAJiOoAZPqB1eimts7ZZlt1a6yMgA6eWjOUbyyrEo\nAGAygho8wT70tm8gomNdgw5X80H2rFPZ5AKVFOY5XE162LcrNLf1KB53XzgGgFxAUIMnVFeWym6k\ndOMMT/LqKENm06ST38vgUExHjvc7XA0A5CaCGjyhID+oyunFktzZhWhSI4FtTnmpAv5EOmafGgA4\ng6AGz7BDkNtCg2VZyTPUqg1pJJCkvKBfs8tLJLkzHANALiCowTPs88ncdujt0eMDGghHJZk1oyaN\nuL7LZZ85AOQKgho8ww5BLe09isXiDldzUuPw/jS/36c5wzNQpqgZ0W0LAMg+gho8w57diUTjOtzR\n53A1J9nLgrPKipWfF3C4mvSyr5I6dLRXkWjM4WoAIPcQ1OAZs8qKlRdM/F/WTQffNrUmajGp49Nm\nf0/xuKWDR3odrgYAcg9BDZ4RCPhVVe6+pTj7aA7T9qdJUvnUIhXkJ2YJaSgAgOxLKaht375dN998\nsy6++GJvUea4AAAX6ElEQVRdffXVeu655zJdF/Ch7D1TbjlLLRqL6+CR4Rk1gzo+bX6/j6ukAMBB\nowa17u5u3XXXXbr11lu1fft2Pf744/rmN7+p119/PRv1AadIdiG6JDQcOtqraCxxar8dIk3j1m5b\nAMgFowa1w4cP68orr9Ty5cslSQsWLNDixYv129/+NuPFAe9n75lqPdanwaGow9WcDIyh/IAqpxU7\nXE1mcOcnADhn1KA2f/58Pfroo8l/7urq0vbt23XOOedktDDgw9ihwbISx3Q4zV4OrK4olX/4FH/T\n2OH46PEB9Q1EHK4GAHJLcCxf3NPTozVr1uj888/Xxz/+8UzVBHyk6ZMLVFwQVN9gVD979YDOnH3c\n0Xp2vHNEkpn702wjv7f/2PyuyqYUOlhNwpzyEtWdXe50GQCQcSkHtZaWFq1du1Y1NTV67LHHxvSQ\ncDg85sLgPvY4Oj2e1ZWlervxuF7a1qKXtrU4Wott9oxCDQ4OOl3GmKQ6ngV50uSSfHX1DumHLzdk\no7SUfOMvLlV1hZn7AsfDLX8/kR6Mp1kmMo4+y7Ks0b5o7969Wr16ta677jrdd999Y3rAjh07xl0c\n8GHePTSgl3Z1JzfxO62k0K+bLpuukkKzDrsdaXtDr954p1ej/7TIvON9UcXj0opFU1Q/z6ybIACY\nrb6+fsx/ZtSg1tHRoU996lP63Oc+p9tuu23MD9ixY4fmzZunUCg05j8LdwmHw2poaGA8DeHV8Xzo\nu9u0d3+nrl1arc/9L/bK2rw6nvhwjKdZ7PEcT1AbdenzhRde0PHjx/Wd73xH69atkyT5fD79+Z//\nue65556UHhIKhVRQUDDm4uBOjKdZvDaeZ8yeor37O3XoaL+n6s4Wr40nTo/xxKhB7Y477tAdd9yR\njVoAYFQjD+C1LEs+n5ndtgAgcYUUAI+xDxbu7hvSiR42WgMwG0ENgKeM7PTkEF4ApiOoAfCUooI8\nVUwrkiQ1tjp/6DEAZBJBDYDnuO3OVwDIFIIaAM+x96mx9AnAdAQ1AJ5j3/na3N6jeNwFp/ACQIYQ\n1AB4jr30GR6Kqa2zz+FqACBzCGoAPGd2eYmCgcT5aexTA2AyghoAzwkG/JpTbu9To/MTgLkIagA8\nqboyEdQamVEDYDCCGgBPshsKWPoEYDKCGgBPqhkOaoc7+jQUiTlcDQBkBkENgCfVDnd+xuOWDh7p\ndbgaAMgMghoAT5oxtVCFoaAk9qkBMBdBDYAn+Xw+1Qw3FDRzQwEAQxHUAHiWvU+NGTUApiKoAfAs\nLmcHYDqCGgDPso/o6OgaVG//kMPVAED6EdQAeJZ96K3EDQUAzERQA+BZk0tCmloakiQ10VAAwEAE\nNQCeRkMBAJMR1AB4mr1PrZmlTwAGIqgB8LSaEZezW5blcDUAkF4ENQCeZi999g1EdKxr0OFqACC9\nCGoAPK2qolQ+X+LXNBQAMA1BDYCnFeQHVTm9WBIH3wIwD0ENgOfV0vkJwFAENQCel7xKis5PAIYh\nqAHwvJqZic7PlvYexWJxh6sBgPQhqAHwPHtGLRKN63BHn8PVAED6ENQAeN6ssmLlBRM/zuj8BGAS\nghoAzwsE/KoqTyx/NrWyTw2AOQhqAIxg71NjRg2ASQhqAIzAER0ATERQA2CE6uGGgrZjfRocijpc\nDQCkB0ENgBHsGTXLShzTAQAmIKgBMML0yQUqLsyTxFVSAMxBUANgBJ/Pl5xV44YCAKYgqAEwRnVl\novOThgIApiCoATBGckaNoAbAEAQ1AMawr5I63hNWV2/Y4WoAYOIIagCMUTO89ClJzexTA2AAghoA\nY5QU5atscoEk9qkBMANBDYBRapKdnwQ1AN5HUANgFHufGg0FAExAUANglJoRZ6lZluVwNQAwMQQ1\nAEaxj+gYCEd15PiAw9UAwMQQ1AAYZU55ifx+nyT2qQHwPoIaAKPk5wU0q6xYEvvUAHgfQQ2Acex9\nahzRAcDrCGoAjEPnJwBTENQAGKd2ZuKGgoNHehWJxh2uBgDGj6AGwDj20mcsbunw0V6HqwGA8SOo\nATBOxbRi5ecFJLFPDYC3EdQAGCfg96l6+IJ2jugA4GUENQBGqk02FPQ4XAkAjB9BDYCRaoYbChqZ\nUQPgYWMKart379YVV1yRqVoAIG3sIzqOdParfzDicDUAMD4pB7Xnn39en//85xWNRjNZDwCkhX3n\npyQ1t7P8CcCbUgpqTz75pH7wgx9o7dq1ma4HANJiSmlIpUX5kjj4FoB3pRTUVq5cqY0bN+q8887L\ndD0AkBY+ny85q8YRHQC8KpjKF5WVlU3oIeFweEJ/Hu5gjyPjaYZcGM855UXa8z/Si6816lfbWzLy\njIVnz9AXbzpfPp8vI++fKreM5979nXrihT0aGMzMNhmfz6drFlfpjz9xVkbe3y3cMp5Ij4mMY0pB\nbaIaGhqy8RhkCeNpFpPHszTQLylxQ0FfhoLDr3e1amGNpaklWflxOiqnx/P5V4+p48RgRp+x8ZX9\nWlAZVsDvbDjOBqfHE87Lyk+WefPmKRQKZeNRyKBwOKyGhgbG0xC5MJ4LFlg65+xOdfUOpf29LUv6\nx+f3KB63FJo0U+eeU572Z4yFW8bzuy+9Kkm6/MKZunj+jLS+d1fvkNb/7B3F4tL0ylrNnlGS1vd3\nE7eMJ9LDHs/xyEpQC4VCKigoyMajkAWMp1lMH8+LF8zO2Hv/cMt+tbT3qvXYoGs+QyfHMxKN6/DR\nPknS79VVaen5M9P6/rFYXD/4r3cVicbV1jmkM6vc8Zlnkul/PzE6DrwFgHGqSd5+QLOCJB0+2qtY\n3JJ06vEo6RII+FVVPnyQMZ85csSYgtqiRYv0+uuvZ6oWAPCUGrurlNsPJJ0MT6H8gCqmFWXkGdUz\nucMVuYUZNQAYJ3tG7dCRXkWicYercZ4dnqorSuXP0Eb/WmYxkWMIagAwTvbyXixu6dDRXoercV5T\na+IGiEwse9rsWczWY30aHOKmHJiPoAYA41QxrUih/IAk9kxJJ5eAqyszGNSG39uypBauBkMOIKgB\nwDj5/T5VVyT2TDXn+J6p/sGIjnQmzq2rHd5HlgllUwpUXJA4sMCewQNMRlADgAngmqqEkRff12Rw\n6dPn8yXfn4YC5AKCGgBMQDWb2yWd/P4nFedrSklmD2i1lz9zPRwjNxDUAGAC7GW+I8cH1D8Ycbga\n5zS1nWwkyPS9p/aMWq4vNyM3ENQAYAJGLvM1t+Xunil7Ri2Ty542e7m5szus7r70Xw8GuAlBDQAm\nYGppgSaX5EvK3aU4y7KS33tNZeYaCWwjn5HrS84wH0ENACYoeZVUji7Fneg9ObOVjRm1kqJ8TZ+c\nuP8yVz9z5A6CGgBMULILMUePixg5q2UfV5JpNXTbIkcQ1ABggkZ2IVqW5XA12dc4HFDLpxWpqCAv\nK8/kKinkCoIaAExQzXDnZ0//kE70hB2uJvvs7svaDN5I8H41ycvZe3IyHCN3ENQAYIJGLvfl4lJc\nspEggzcSvJ89izkQjuro8YGsPRfINoIaAExQUUGeKqYVScq9ze3xuJW8laAmizNqVRWl8g8f19aY\nY585cgtBDQDSINn5mWMNBe2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(coords['ele'].values[2060:2110]);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# How about the speed?" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false, "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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iDBo0CABQWFiIrKwsQ5+RnZ3t21+sVNc5ABwDAHTu3Bk5OX1Er5YCAKxWK3Jycgztt9X6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\nPdjjuDtrF4zEybJbyh8lxkALSIzDojODCk161IGzZvZ8u0c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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "segment.points[0].speed, segment.points[-1].speed = 0., 0.\n", "gpx_file.add_missing_speeds()\n", "speed = np.array([p.speed for p in segment.points])*3.6\n", "plt.plot(speed);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Kalman Filter and Smoother\n", "\n", "* *State equation*: $\\mathbf{x}_{k}=\\mathbf{F}_{k}\\mathbf {x}_{k-1}+\\mathbf{B}_{k}\\mathbf{u}_{k}+\\mathbf{\\epsilon}_{k}$ where \n", " \n", " - $\\mathbf{x}_{k}$ is the state vector at timestep $k$,\n", " - $\\mathbf{u}_{k}$ is the control vector at timestep $k$,\n", " - $\\mathbf{F}_{k}$ is the state transition matrix,\n", " - $\\mathbf{B}_{k}$ is the control-input matrix,\n", " - $\\mathbf{\\epsilon}_{k}$ is the process noise $\\mathbf{\\epsilon}_{k}\\sim{\\mathcal{N}}(0,\\mathbf{Q})$ with covariance $\\mathbf{Q}$ \n", " \n", "\n", "* *Measurement equation*: $\\mathbf{z}_{k}=\\mathbf{H}_{k}\\mathbf{x}_{k}+\\mathbf{\\delta}_{k}$ where\n", "\n", " - $\\mathbf{z}_{k}$ is the measurement vector at timestep $k$,\n", " - $\\mathbf{H}_{k}$ is the observation matrix,\n", " - $\\mathbf{\\delta}_{k}$ is the observation noise $\\mathbf{\\delta}_{k}\\sim{\\mathcal{N}}(0,\\mathbf{R})$ with covariance $\\mathbf{R}$ " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Optimally average measurement and state estimation\n", "\n", "Let\n", "* $\\mathbf{\\hat{x}}_{k}^{-}$ be the *a priori* state estimate with knowledge about the process prior to $k$\n", "* $\\mathbf{\\hat{x}}_{k}$ be the *a posteriori* state estimate including the the measurement $z_{k}$\n", "\n", "and an update equation linking $\\mathbf{\\hat{x}}_{k}$ to $\\mathbf{\\hat{x}}_{k}^{-}$, i.e.\n", "\n", "$$\\mathbf{\\hat{x}}_{k} = \\mathbf{\\hat{x}}_{k}^{-} + \\mathbf{K_k}(\\mathbf{\\mathbf{z}_{k} - \\mathbf{H}\\hat{x}}_{k}^{-})$$\n", "\n", "where $\\mathbf{K_k}$ is the *Kalman gain* at timestep $k$.\n", "\n", "**Goal:** Find an optimal $\\mathbf{K}_k$ that minimizes the *a posteriori* estimate error covariance $\\mathbf{P}_{k} = \\mathbb{E}[\\mathbf{e}_k,\\mathbf{e}_k]$ with $\\mathbf{e}_{k}\\equiv\\mathbf{x}_{k}-\\mathbf{\\hat{x}}_{k}$.\n", "\n", "\n", "[... read An Introduction to the Kalman Filter by G. Welch & G. Bishop for more details]" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Prediction-Correction Loop\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Kalman filter for GPS data\n", "\n", "Given position $\\mathbf{x}_{k}=(x_{k},y_{k},z_{k})$ and velocity $\\mathbf{v}_{k}=(\\alpha_{k},\\beta_{k},\\gamma_{k})$ our model state equation is\n", "$$\\mathbf{x}_{k+1} = \\mathbf{x}_{k} + \\mathbf{v}_{k}dt + \\mathbf{\\epsilon}_{k},\\quad \\mathbf{v}_{k+1}=\\mathbf{v}_{k}+ \\mathbf{\\epsilon}_{k}$$\n", "or in vector notation\n", "$$\n", "\\begin{pmatrix}\n", "x_{k+1} \\\\\n", "y_{k+1} \\\\\n", "z_{k+1} \\\\\n", "\\alpha_{k+1} \\\\\n", "\\beta_{k+1} \\\\\n", "\\gamma_{k+1} \\\\\n", "\\end{pmatrix}=\n", "\\begin{pmatrix}\n", "1 & 0 & 0 & dt & 0 & 0 \\\\\n", "0 & 1 & 0 & 0 & dt & 0 \\\\\n", "0 & 0 & 1 & 0 & 0 & dt \\\\\n", "0 & 0 & 0 & 1 & 0 & 0 \\\\\n", "0 & 0 & 0 & 0 & 1 & 0 \\\\\n", "0 & 0 & 0 & 0 & 0 & 1 \\\\\n", "\\end{pmatrix}\n", "\\cdot\n", "\\begin{pmatrix}\n", "x_{k} \\\\\n", "y_{k} \\\\\n", "z_{k} \\\\\n", "\\alpha_{k} \\\\\n", "\\beta_{k} \\\\\n", "\\gamma_{k} \\\\\n", "\\end{pmatrix}+\n", "\\begin{pmatrix}\n", "\\epsilon^1_{k} \\\\\n", "\\epsilon^2_{k} \\\\\n", "\\epsilon^3_{k} \\\\\n", "\\epsilon^4_{k} \\\\\n", "\\epsilon^5_{k} \\\\\n", "\\epsilon^6_{k} \\\\\n", "\\end{pmatrix}.\n", "$$\n", "For the sampling rate in our date $dt=1$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Since only the position is measured\n", "\n", "Given measurement $\\mathbf{z}_{k}=(\\tilde{x}_k,\\tilde{y}_k,\\tilde{z}_k)$ our measurement equation is\n", " $$\\mathbf{z}_{k}=\\mathbf{H}_{k}\\mathbf{x}_{k}+\\mathbf{\\delta}_{k}$$\n", "or in vector notation\n", "$$\n", "\\begin{pmatrix}\n", "\\tilde{x}_k\\\\\n", "\\tilde{y}_k\\\\\n", "\\tilde{z}_k\\\\\n", "\\end{pmatrix}=\n", "\\begin{pmatrix}\n", "1 & 0 & 0 & 0 & 0 & 0 \\\\\n", "0 & 1 & 0 & 0 & 0 & 0 \\\\\n", "0 & 0 & 1 & 0 & 0 & 0 \\\\\n", "\\end{pmatrix}\\cdot\n", "\\begin{pmatrix}\n", "x_{k} \\\\\n", "y_{k} \\\\\n", "z_{k} \\\\\n", "\\alpha_{k} \\\\\n", "\\beta_{k} \\\\\n", "\\gamma_{k} \\\\\n", "\\end{pmatrix}+\n", "\\begin{pmatrix}\n", "\\delta^1_{k} \\\\\n", "\\delta^2_{k} \\\\\n", "\\delta^3_{k} \\\\\n", "\\end{pmatrix}.\n", "$$\n", "The observation covariance matrix $\\mathbf{R}=diag(1e-4,1e-4,100)$ where $1e-4$ is roughly 10-30m in longitude/latitude." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# pykalman: Kalman filter, smoother and EM \n", "\n", "* dead-simple to use and quite powerful\n", "* comes with examples and good documentation\n", "* also allows non-affine state transitions (Unscented Kalman)\n", "* licensed under new-bsd\n", "* written by Daniel Duckworth" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### But some data wrangling first" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false, "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "
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eleidxlatlonspeed
time
2016-06-26 04:31:271343.0046.88906210.5021190.000000
2016-06-26 04:31:281343.0146.88906210.5021190.018335
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" ], "text/plain": [ " ele idx lat lon speed\n", "time \n", "2016-06-26 04:31:27 1343.0 0 46.889062 10.502119 0.000000\n", "2016-06-26 04:31:28 1343.0 1 46.889062 10.502119 0.018335" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coords = pd.DataFrame([{'idx': i,\n", " 'lat': p.latitude, \n", " 'lon': p.longitude, \n", " 'ele': p.elevation,\n", " 'speed': p.speed,\n", " 'time': p.time} for i, p in enumerate(segment.points)])\n", "coords.set_index('time', inplace=True)\n", "coords.head(2)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "
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eleidxlatlonspeed
time
2016-06-26 10:49:04.1171350.02263046.88857410.5020130.079782
2016-06-26 10:49:05.1171350.02263146.88857510.5020120.000000
\n", "
" ], "text/plain": [ " ele idx lat lon speed\n", "time \n", "2016-06-26 10:49:04.117 1350.0 22630 46.888574 10.502013 0.079782\n", "2016-06-26 10:49:05.117 1350.0 22631 46.888575 10.502012 0.000000" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coords.tail(2)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Let's make sure we have 1sec intervals" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "coords.index = np.round(coords.index.astype(np.int64), -9).astype('datetime64[ns]')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "### What about signal loss?" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(np.diff(coords.index));" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### We fix signal loss by resampling" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false, "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "
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eleidxlatlonspeed
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\n", "
" ], "text/plain": [ " ele idx lat lon speed\n", "2016-06-26 04:57:17 NaN NaN NaN NaN NaN\n", "2016-06-26 04:57:18 NaN NaN NaN NaN NaN\n", "2016-06-26 04:57:19 NaN NaN NaN NaN NaN\n", "2016-06-26 04:57:20 NaN NaN NaN NaN NaN\n", "2016-06-26 04:57:21 NaN NaN NaN NaN NaN" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coords = coords.resample('1S').asfreq()\n", "coords.loc[coords.ele.isnull()].head()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Now convert to good old numpy array, mask NaNs and plot..." ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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JQV9/th2spqC4lr8s3cs/P93P2EFB9OvaseMvqg3K1eq83wxr1qyhuLiYNWvW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "measurements = np.ma.masked_invalid(coords[['lon', 'lat', 'ele']].values)\n", "\n", "plt.plot(measurements[:,0], measurements[:,1])\n", "filled_coords = coords.fillna(method='pad').ix[coords.ele.isnull()]\n", "plt.plot(filled_coords['lon'].values, filled_coords['lat'].values, 'ro');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Setup the Kalmann filter & smoother" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "F = np.array([[1, 0, 0, 1, 0, 0],\n", " [0, 1, 0, 0, 1, 0],\n", " [0, 0, 1, 0, 0, 1],\n", " [0, 0, 0, 1, 0, 0],\n", " [0, 0, 0, 0, 1, 0],\n", " [0, 0, 0, 0, 0, 1]])\n", "\n", "H = np.array([[1, 0, 0, 0, 0, 0],\n", " [0, 1, 0, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 0]])\n", "\n", "R = np.diag([1e-4, 1e-4, 100])**2\n", "\n", "initial_state_mean = np.hstack([measurements[0, :], 3*[0.]])\n", "initial_state_covariance = np.diag([1e-4, 1e-4, 50, 1e-6, 1e-6, 1e-6])**2\n", "\n", "kf = KalmanFilter(transition_matrices=F, \n", " observation_matrices=H, \n", " observation_covariance=R,\n", " initial_state_mean=initial_state_mean,\n", " initial_state_covariance=initial_state_covariance,\n", " em_vars=['transition_covariance'])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "### ... and fit the transition covariance matrix" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "kf = kf.em(measurements, n_iter=1000) # takes a very long time" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": true, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# normally we would need about 1000 iterations, so we take this instead\n", "Q = np.array([[ 3.17720723e-09, -1.56389148e-09, -2.41793770e-07,\n", " 2.29258935e-09, -3.17260647e-09, -2.89201471e-07],\n", " [ 1.56687815e-09, 3.16555076e-09, 1.19734906e-07,\n", " 3.17314157e-09, 2.27469595e-09, -2.11189940e-08],\n", " [ -5.13624053e-08, 2.60171362e-07, 4.62632068e-01,\n", " 1.00082746e-07, 2.81568920e-07, 6.99461902e-05],\n", " [ 2.98805710e-09, -8.62315114e-10, -1.90678253e-07,\n", " 5.58468140e-09, -5.46272629e-09, -5.75557899e-07],\n", " [ 8.66285671e-10, 2.97046913e-09, 1.54584155e-07,\n", " 5.46269262e-09, 5.55161528e-09, 5.67122163e-08],\n", " [ -9.24540217e-08, 2.09822077e-07, 7.65126136e-05,\n", " 4.58344911e-08, 5.74790902e-07, 3.89895992e-04]])\n", "Q = 0.5*(Q + Q.T) # assure symmetry\n", "kf.transition_covariance = Q" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Now we smooth our track" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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RYWrYKw3R3MrWh+RZTMjJ5xyw7/AGAEtuHSFjJO4VqlFJdeRtRvYiJ6LA0GG2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\ndyC6u73fHXOwkuKN6Oiy4sCRs7gux/P29tvLpD+syPBQhBtCdLnP3iL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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "state_means, state_vars = kf.smooth(measurements)\n", "\n", "fig, (ax1, ax2) = plt.subplots(1, 2, sharey=True, figsize=(12, 7))\n", "ax1.plot(measurements[:,2]), ax2.plot(state_means[:,2]);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### After having wrote the smoothed data back..." ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "UphillDownhill(uphill=2677.5293611031921, downhill=2683.5375577693385)" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coords.ix[:, ['lon', 'lat', 'ele']] = state_means[:,:3]\n", "orig_coords = coords.ix[~coords['idx'].isnull()].set_index('idx')\n", "\n", "for i, p in enumerate(segment.points):\n", " p.speed = None\n", " p.elevation = orig_coords.at[float(i),'ele']\n", " p.longitude = orig_coords.at[float(i),'lon']\n", " p.latitude = orig_coords.at[float(i),'lat']\n", " \n", "segment.get_uphill_downhill()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "### Sounds about right! " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Smoothing the speed is a bit more involved but eventually" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "collapsed": false, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# Check the 4-pykalman notebook for the actual doing\n", "with open('./gpx/3-laender-giro_cleaned.gpx') as fh:\n", " gpx_file = gpxpy.parse(fh)\n", "segment = gpx_file.tracks[0].segments[0]\n", "segment.points[0].speed, segment.points[-1].speed = 0., 0.\n", "gpx_file.add_missing_speeds()" ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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DiedNn+pBqfKID//rXYfl3o1k4XPabNGlS0jlEbJw6lacy9YCMwsfrXaVirfT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\n5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "speed = np.array([p.speed for p in segment.points])*3.6\n", "plt.plot(speed);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Summary of libraries\n", "\n", "* **gpxpy** for reading, writing GPX files as well as imputing of missing values.\n", "* **srtm.py** extends gpxpy to easily add missing elevation data to a GPX file.\n", "* **mplleaflet** converts matplotlib plots into zoomable, pannable, [Leaflet](http://leafletjs.com/) map.\n", "* **rdp** implements the Ramer-Douglas-Peucker algorithm (**currently only recursive**!).\n", "* **pykalman** is a dead-simple Kalman filter, smoother and EM library.\n", "\n", "More notebooks with examples can be found under: https://github.com/FlorianWilhelm/gps_data_with_python/tree/master/notebooks" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Credits\n", "\n", "* RDP Example from [Marius Karthaus](http://karthaus.nl/rdp/)\n", "* Waypoint/track graphic adapted from [Wikipedia](https://en.wikipedia.org/wiki/GPS_Exchange_Format)\n", "* Logo on first slide from [Gnome Maps](https://wiki.gnome.org/Apps/Maps)\n", "* Kalman prediction & correction graphic from [Bilgin's blog](http://bilgin.esme.org/BitsAndBytes/KalmanFilterforDummies)\n", "* Book [Kalman and Bayesian Filters](https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python) by Roger R. Labbe\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "

Questions?


\n", "\n", "

Find this talk under https://github.com/FlorianWilhelm/gps_data_with_python

\n" ] }, { "cell_type": "raw", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "\n", "" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3", "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": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }