{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import gpxpy\n", "import mplleaflet\n", "import pandas as pd\n", "import numpy as np\n", "from pykalman import KalmanFilter\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", "from gps_utils import haversine\n", "\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "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]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Let's try to correct some unrealistic things like" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "UphillDownhill(uphill=4446.100000000043, downhill=4439.100000000031)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "segment.get_uphill_downhill()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### ... and speed records on a bikecycle" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "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 = 0.0\n", "segment.points[-1].speed = 0.0\n", "gpx_file.add_missing_speeds()\n", "\n", "speed = np.array([p.speed for p in segment.points])*3.6\n", "plt.plot(speed)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### But we start with a little bit of data wrangling" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "scrolled": false }, "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
2016-06-26 04:31:291343.0246.88906210.5021190.539877
2016-06-26 04:31:301344.0346.88906510.5021191.062646
2016-06-26 04:31:311345.0446.88906810.5021211.123059
\n", "
" ], "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\n", "2016-06-26 04:31:29 1343.0 2 46.889062 10.502119 0.539877\n", "2016-06-26 04:31:30 1344.0 3 46.889065 10.502119 1.062646\n", "2016-06-26 04:31:31 1345.0 4 46.889068 10.502121 1.123059" ] }, "execution_count": 5, "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()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/html": [ "
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eleidxlatlonspeed
time
2016-06-26 10:49:01.1171350.02262746.88857010.5020080.711726
2016-06-26 10:49:02.1171350.02262846.88857310.5020100.278200
2016-06-26 10:49:03.1171350.02262946.88857410.5020120.139867
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 10:49:01.117 1350.0 22627 46.888570 10.502008 0.711726\n", "2016-06-26 10:49:02.117 1350.0 22628 46.888573 10.502010 0.278200\n", "2016-06-26 10:49:03.117 1350.0 22629 46.888574 10.502012 0.139867\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": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coords.tail()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Oh... time interval is not always 1sec, let's do something about that and round to nearest sec" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/html": [ "
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eleidxlatlonspeed
2016-06-26 10:49:011350.02262746.88857010.5020080.711726
2016-06-26 10:49:021350.02262846.88857310.5020100.278200
2016-06-26 10:49:031350.02262946.88857410.5020120.139867
2016-06-26 10:49:041350.02263046.88857410.5020130.079782
2016-06-26 10:49:051350.02263146.88857510.5020120.000000
\n", "
" ], "text/plain": [ " ele idx lat lon speed\n", "2016-06-26 10:49:01 1350.0 22627 46.888570 10.502008 0.711726\n", "2016-06-26 10:49:02 1350.0 22628 46.888573 10.502010 0.278200\n", "2016-06-26 10:49:03 1350.0 22629 46.888574 10.502012 0.139867\n", "2016-06-26 10:49:04 1350.0 22630 46.888574 10.502013 0.079782\n", "2016-06-26 10:49:05 1350.0 22631 46.888575 10.502012 0.000000" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coords.index = np.round(coords.index.astype(np.int64), -9).astype('datetime64[ns]')\n", "coords.tail()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Do we have signal loss?" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "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": {}, "source": [ "### Okay, let's resample with 1 sec intevals and fill up with NaN" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/html": [ "
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eleidxlatlonspeed
2016-06-26 04:57:17NaNNaNNaNNaNNaN
2016-06-26 04:57:18NaNNaNNaNNaNNaN
2016-06-26 04:57:19NaNNaNNaNNaNNaN
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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": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coords = coords.resample('1S').asfreq()\n", "coords.loc[coords.ele.isnull()].head()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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L+Mwzz2T16tVZs2ZNTj311CxbtixTp07NqFGj8sMf/rDPuTNmzMiSJUvy4Q9/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\nAIDi/wcWbN7dcLMyrAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(np.diff(coords.index))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Almost done. Now convert to good old numpy array and mask NaNs" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "measurements = np.ma.masked_invalid(coords[['lon', 'lat', 'ele']].values)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### So where did I lose the GPS signal?" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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JQV9/th2spqC4lr8s3cs/P93P2EFB9OvaseMvqg3K1eq83wxr1qyhuLiYNWvW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\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": {}, "source": [ "### Let's set up the Kalman Filter" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "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", "# works initial_state_covariance = np.diag([1e-3, 1e-3, 100, 1e-4, 1e-4, 1e-4])**2\n", "initial_state_covariance = np.diag([1e-4, 1e-4, 50, 1e-6, 1e-6, 1e-6])**2" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "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": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Careful here, expectation maximation takes several hours!\n", "#kf = kf.em(measurements, n_iter=1000)\n", "# or just run this instead of the one above (it is the same result)\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": {}, "source": [ "### Compare now our measurements with a smoothed track" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "state_means, state_vars = kf.smooth(measurements)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ci+gUZrv9n0U/T7I9PlOyVpOJYlFREWbMmIEHHngADz74oHQ8ODgYO3bsAADMnz8fFy9e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\n9u3bNWzYMEfbmTNnWrWGgYGBKisrc7oHvNlx4TqzekpNb+q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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(measurements[:,2])" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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rqic4KIBffG8iUeFBRpclnSSxn+ekHWeDm9zCCoOrERFvdN6gOGzYMJ588snm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\n39t1Bu36Dni6q7Ewg59rZJ8YFGWo84xiXYPWKW5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IiIiIRDEoEhEREZEoBkUiIiIiEsWg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\niWJQJCIiIiJRDIpEREREJOr/A1ZDyGpZAEA7AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(state_means[:,2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Let's write the smoothed data back into our dataframe and GPX file" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "coords.ix[:, ['lon', 'lat', 'ele']] = state_means[:,:3]\n", "orig_coords = coords.ix[~coords['idx'].isnull()].set_index('idx')" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "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']" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "UphillDownhill(uphill=2677.5293611031921, downhill=2683.5375577693385)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "segment.get_uphill_downhill()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Yes, that sounds much more realistic!!! Let's also check the speed" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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MM89gw4YNAICZM2di2bJlmD9/PhYuXIg1a9ZgxowZ5v8FGYRxJxEREaWarmDw1VdfxcyZ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\nydg117yksLu18LEH4gye4yi6N/rUKuh+uG5i+sG2mUODwdraWsyaNQt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "segment.points[0].speed = 0.0\n", "segment.points[-1].speed = 0.0\n", "gpx_file.add_missing_speeds()\n", "\n", "speed = np.array([p.speed for p in segment.points])*3.6\n", "plt.plot(speed)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Arrrggh!!! Still not good! What the heck is going on?" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([1553, 1552, 2599, 2598, 1551, 1554, 2600, 2597, 1822])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.argsort(speed)[:-10:-1]" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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On71erxobG5WcnKwLFy50O8f58+f18MMP67rrrtMrr7yisWPHdozbsmWLMjMz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\nhjLCJQAA/YyG6xjOCJcAAPS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(measurements[1540:1580,0], measurements[1540:1580,1], 'o', alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Here we have one of the hyperspeed points, so what happens here? Points seem to stack..." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[GPXTrackPoint(46.8103637757, 10.5387835682, elevation=1508.193584207135, time=datetime.datetime(2016, 6, 26, 4, 57, 12), speed=10.433596343171985),\n", " GPXTrackPoint(46.8102864276, 10.5388611174, elevation=1508.2165744764188, time=datetime.datetime(2016, 6, 26, 4, 57, 13), speed=10.22185515140879),\n", " GPXTrackPoint(46.8102118765, 10.5389352308, elevation=1508.239971017472, time=datetime.datetime(2016, 6, 26, 4, 57, 14), speed=9.370366934816714),\n", " GPXTrackPoint(46.8101458484, 10.5389972135, elevation=1508.2645007525773, time=datetime.datetime(2016, 6, 26, 4, 57, 15), speed=7.296278012593184),\n", " GPXTrackPoint(46.810098998, 10.5390329171, elevation=1508.2914346143646, time=datetime.datetime(2016, 6, 26, 4, 57, 16), speed=0.5932080808036679),\n", " GPXTrackPoint(46.8101179798, 10.5389947776, elevation=1508.7808604716311, time=datetime.datetime(2016, 6, 26, 4, 57, 31), speed=2.2466641290849045),\n", " GPXTrackPoint(46.8098798432, 10.539238938, elevation=1508.7891390726277, time=datetime.datetime(2016, 6, 26, 4, 57, 32), speed=39.595736455381854),\n", " GPXTrackPoint(46.8095324107, 10.5395882606, elevation=1508.7859877061444, time=datetime.datetime(2016, 6, 26, 4, 57, 33), speed=50.059890096280405),\n", " GPXTrackPoint(46.8091273246, 10.5399624636, elevation=1508.7782148334149, time=datetime.datetime(2016, 6, 26, 4, 57, 34), speed=50.34126902350792),\n", " GPXTrackPoint(46.8087576443, 10.540274135, elevation=1508.7753070750641, time=datetime.datetime(2016, 6, 26, 4, 57, 35), speed=39.044583401421434),\n", " GPXTrackPoint(46.8085155078, 10.5404674701, elevation=1508.7852303943632, time=datetime.datetime(2016, 6, 26, 4, 57, 36), speed=24.223847197548224),\n", " GPXTrackPoint(46.8083779453, 10.5405870224, elevation=1508.8044692912965, time=datetime.datetime(2016, 6, 26, 4, 57, 37), speed=14.487316849446636),\n", " GPXTrackPoint(46.8082947345, 10.5406698612, elevation=1508.8283984685188, time=datetime.datetime(2016, 6, 26, 4, 57, 38), speed=10.068224483067006)]" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "segment.points[1545:1558] # speed is in m/s" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Looking at these numbers the sensors seems to be quite inert! Let's just eliminate unlikely points and their surroundings by using the covariance given by the Kalman filter!" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [], "source": [ "bad_readings = np.argsort(np.trace(state_vars[:,:2,:2], axis1=1, axis2=2))[:-20:-1]\n", "bad_readings = np.array([idx for idx in range(measurements.shape[0]) if np.min(np.abs(bad_readings - idx)) <= 5])\n", "measurements.mask[bad_readings, :] = True " ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [ "state_means, state_vars = kf.smooth(measurements)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Write it back our GPX file again" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [], "source": [ "coords.ix[:, ['lon', 'lat', 'ele']] = state_means[:,:3]\n", "orig_coords = coords.ix[~coords['idx'].isnull()].set_index('idx')\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']" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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0okN2+6oPDmBYv87w/6eaW1BbWxv3WC6PH7Y8U041/cjRc34aEfMzMb+gBq61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\nqKW4ZjBOMoWDS0KU3pheO2ZY+PGp1u6k54IUTub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KdBqTOmF3414FRnyk/PLw0vt/4bst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\ny7ajmiAJJMbBrFVWnYZsYoJ50qqFMy0iUqNaAgD8PW0wflCkSc7HzFj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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "segment.points[0].speed = 0.0\n", "segment.points[-1].speed = 0.0\n", "gpx_file.add_missing_speeds()\n", "\n", "speed = np.array([p.speed for p in segment.points])*3.6\n", "plt.plot(speed)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### We are getting there! Let's take a look where the problem is..." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "array([ 2621, 2622, 2620, 2508, 2509, 15147, 2619, 2623, 2507])" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# calculate the speed directly on our array\n", "speed = [3.6*haversine(state_means[i,1::-1], state_means[i+1,1::-1]) for i in np.arange(state_means.shape[0]-1)]\n", "np.argsort(speed)[:-10:-1]" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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glLeGIiHswPf2229r7969Sk1N1fjx42WxWCRJo0eP1vPPP6/i4mKdPHlSRUVFcrlcmj17\nthYuXBjSz0hNTfWbBwiEihqCUdQQjKKGEA9CCnwTJkxQdXW1JGns2LE6fPhwwGOTkpK0fPlyLV++\n3FgLAQAAYAi3VgMAADA5Ah8AAIDJEfgAAABMjsAHAABgcoYXXgYAAH2Hu71Dm3fWqu5Ys/KHZWr+\nzQVKttJ/FO8IfAAAIGibd9aq4rV6SVKNo0kWi3T7jFEBjycgxgcCHwAACFrdsWa/7fePNgc48pxQ\nAyKig4gNAACClj8s0297ZHZmgCPPCTUgIjro4QMAAEGbf3OBLJZzwW1kdqaKbyro8fj8YZmqcTT5\nti8UEBEdBD4AABC0ZGtSSEOyoQZERAeBDwAARE2oARHRwRw+AAAAkyPwAQAAmByBDwAAwOQIfAAA\nACbHRRvABbBKPAAg0RH4gAtglXgAQKKjmwK4AFaJBwAkOgIfcAGh3kYIAIB4w5AucAGsEg8ASHQE\nPuACWCUeAJDoGNIFAAAwOQIfAACAyRH4AAAATI7ABwAAYHIEPgAAAJMj8AEAAJgcgQ8AAMDkCHwA\nAAAmR+ADAAAwOQIfAACAyRH4AAAATI7ABwAAYHIEPgAAAJMj8AEAAJhcSIGvpqZGU6ZM8W2fOXNG\ny5Yt0/jx4zV9+nRVVFT4HV9aWqrJkydr4sSJWrNmjTweT2RaDQAAgKAFHfgqKiq0aNEiud1u376H\nHnpIGRkZqq6u1tq1a/Vv//ZvqqmpkSSVl5dr9+7dqqqq0o4dO7Rv3z5t3Lgx8r8BAAAAehRU4Fu/\nfr3Ky8tVUlLi23f27Fnt2rVL9913n2w2mwoLCzVz5kxVVlZKkrZt26YFCxYoKytLWVlZWrJkibZu\n3Rqd3wIAAAABBRX4ioqKVFlZqTFjxvj2HTlyRDabTUOGDPHty8nJUUNDgySpoaFBeXl5fs8dOXIk\nQs0GAABAsJKDOWjQoEHn7WtpaVFqaqrfPrvdLqfT6Xvebrf7PdfR0aG2tjalpKQE1bjW1tagjgO6\n8tYONYRwUUMwihqCUZGsnaACX3fS0tLU1tbmt8/pdCo9PV2Sf/jzPme1WoMOe5LkcDjCbR4giRqC\ncdQQjKKGEA/CDnzZ2dlyuVw6ceKEBg8eLElqbGxUbm6uJCk3N1eNjY0qLCyUdG6I1/tcsPLy8s7r\nRQSC0draKofDQQ0hbNQQjKKGYJS3hiIh7MCXkZGh6dOnq7S0VKtWrVJdXZ2qqqr0n//5n5KkWbNm\nacOGDZo0aZKsVqvKyso0Z86ckH5Gamqq37AwEKreqiF3e4c276xV3bFm5Q/L1PybC5RsZZlLM+A8\nBKOoIcSDsAOfJK1atUoPP/ywpk6dqoyMDK1YsUJXXHGFJKm4uFgnT55UUVGRXC6XZs+erYULF0ai\nzUDc2byzVhWv1UuSahxNslik22eMinGrAAA4J6TAN2HCBFVXV/u2BwwYoLVr13Z7bFJSkpYvX67l\ny5cbayGQAOqONfttv3+0OcCRAAD0PsacgAjIH5bptz0yOzPAkQAA9D5DQ7oAzpl/c4EslnM9eyOz\nM1V8U0GsmwQAgA+BD4iAZGsSc/YAAHGLIV0AAACTI/ABAACYHIEPAADA5Ah8AAAAJkfgAwAAMDkC\nHwAAgMkR+AAAAEyOwAcAAGByBD4AAACTI/ABAACYHIEPAADA5Ah8AAAAJkfgAwAAMDkCHwAAgMkR\n+AAAAEyOwAcAAGByBD4AAACTI/ABAACYHIEPAADA5Ah8AAAAJkfgAwAAMDkCHwAAgMkR+AAAAEyO\nwAcAAGByBD4AAACTI/ABAACYHIEPAADA5JJj3QAAABD/3O0d2ryzVnXHmpU/LFPzby5QspV+o0RB\n4AMAABe0eWetKl6rlyTVOJpksUi3zxgV41YhWERzAABwQXXHmv223z/aHOBIxCMCHwAAuKD8YZl+\n2yOzMwMciXhkOPDt379fc+fO1bhx4/Td735XVVVVkqQzZ85o2bJlGj9+vKZPn66KigrDjQUAALEx\n/+YC3XrdCBXmDdKt141Q8U0FsW4SQmBoDl9HR4eWLVumRx99VDfccIP27t2rhQsX6qqrrtLjjz+u\njIwMVVdX6/Dhw1q8eLHy8/NVWFgYqbYDAIBekmxNYs5eAjPUw3fmzBk1NzfL5XJJkiwWi2w2m5KS\nkrRr1y7dd999stlsKiws1MyZM1VZWRmRRgMAACB4hgLfwIED9YMf/EA/+clPNHr0aP3whz/UypUr\n1dzcLJvNpiFDhviOzcnJUUNDg+EGAwAAIDSGhnQ9Ho/sdrvWrVuna6+9Vn/5y190//3361e/+pVS\nU1P9jrXb7XI6nSG9fmtrq5HmoQ/z1g41hHBRQzCKGoJRkawdQ4Hv5Zdf1rvvvqsHHnhAkjR16lRN\nmzZN69atU1tbm9+xTqdT6enpIb2+w+Ew0jyAGoJh1BCMooYQDwwFvk8++eS8YJecnKzRo0dr//79\nOnHihAYPHixJamxsVG5ubkivn5eXd15PIRCM1tZWORwOaghho4ZgFDV0Pnd7h1541aH6D09rxNAB\nmnd9Hnfr6IG3hiLBUOC7+uqr9dRTT+n3v/+9brnlFr311lt69dVXtWnTJn300UcqLS3VqlWrVFdX\np6qqKpWVlYX0+qmpqbLb7UaaiD6OGoJR1BCMooa+tmn7IVXubpQkHWz4QjZbMlf+9hJDsTo/P1//\n/u//rk2bNmn8+PFatWqVnnjiCY0ePVqrVq2Sy+XS1KlT9eMf/1grVqxgSRYAAPow7tYRO4bvpTtt\n2jRNmzbtvP0DBgzQ2rVrjb48AAAwifxhmapxNPm2uVtH7zEc+AAAAIIx/+YCWSznevZGZmdyt45e\nROADAAC9grt1xA6XxgAAAJgcPXxAAO72Dm3eWau6Y83KH5ap+TcXBLV8QLj/DgCAaCHwAQFs3lmr\nitfqJUk1jiZZLApqKCLcfwcAQLTQ7QAEEO7yASw7AACINwQ+IID8Yf7LBQS7fEC4/w4AgGhhSBcI\nINzlA1h2AAAQbwh8QADhLh/AsgMAgHjDkC4AAIDJEfgAAABMjsAHAABgcgQ+AAAAkyPwAQAAmByB\nDwAAwOQIfAAAACZH4AMAADA5Ah8AAIDJEfgAAABMjlurASbmbu/Q5p21qjvWrLyhAyWL5Dh+KuDj\n/GGZmn9zgZKtfBcEADMh8AEmECjYtbra9f7RZklSjaPJd3xPjy0WcS9gADAZAh+QoDqHvEDBLhw7\n/npEHo/o6QMAEyHwAQkkUMiLpK9aXKp4rZ6ePgAwEQIfEOeMhryC7Eyl2KwacelASVL98VPdPt65\n56i+anH5/t3r+z7U+0ebmdcHACZA4APiUDghr7tgNzI7U8U3BRfWLBaLKl6r921/fqpFn59qYV4f\nAJgAgQ+IQ5t31vqFr0C8IS+UYBfI/JsLZLFI7x9t1icnv9LnzS2+5+jtA4DERuAD4lDdscA9epEM\neZ0lW5N8vXibth8K2Nv33gdNSrFZCX8AkEAIfEAc8Q7lftL0ld/+aIW8QHrq7avtdDUwQ70AkBgI\nfEAUdZ6LF0yPWNeh3L/JTNPUq4b2SsjrrKfevs68Q73BLOrMAs9A4gn1HIb4ReADoqhzgAumR6zr\nUO7grIyY96B17u1rc7X7evgk/6Fer2AfMzQMxL9Qz2GIXwQ+IIq6BrjurrbtekVuZyOzM6PavmB0\n7u1zt3fov/5Y2+1Qb6g6Dw2/8faHmjp2KMEPiDPBnMOQGAh8QBTlD8v069nqLsB1HcbtOl8vngQ7\n1Buqz5tbWOwZiEPBnMOQGAh8QBR1Hg4NFOC6foNOsVn1ryXf7q0mhq3z73ahRZ27Pu46NOzF8i9A\nfAnmHIbEQOADoqhzj1ggifoNOpjfLRDv0PDr+z7U56e+HhZmsWcgvhh5nyO+GP76/Omnn2rp0qUa\nN26cpk2bpueff16SdObMGS1btkzjx4/X9OnTVVFRYbixgFm42zu0afshPfirv6ijw6O51+apMG+Q\nbr1uRJ/4Bu39ECn72fW69boRKswbpIsz0/yOeX3fh3rwV3/Rpu2H5G7viFFLAcAcDPfw3XPPPZo8\nebKeeeYZNTY2qri4WFdccYU2btyojIwMVVdX6/Dhw1q8eLHy8/NVWFgYiXYDCSfQ7dJqHE269boR\nCTGMG2ks9gz0XSz50rsMBb4DBw7o888/1/333y+LxaLc3Fy98MILSklJ0a5du/Tyyy/LZrOpsLBQ\nM2fOVGVlJYEPfVZPt0vjyrfgF3v2hj/W9QMSG0u+9C5Dge/gwYPKy8vTk08+qf/5n/9Rv379tHTp\nUo0cOVI2m01DhgzxHZuTk6NXXnnFcIOBRNXT7dISZd5eNAV7BXDn8OdFEAQSD0u+9C5Dge/06dN6\n8803NXnyZL3++ut69913tXjxYq1fv16pqal+x9rtdjmdTkONBRJZ14sz4nn5lVjrabHnQC4UBAl/\nQHwJ94I1hoLDYyjwpaSkaODAgVq8eLEkaezYsbrhhhu0bt06tbW1+R3rdDqVnp4e0uu3trYaaR76\nMG/txFMNzZ02XO3tbtUfP60Rlw7Qbdfl+U5Sbleb3K4YNzDO3Db9MknnTu5bdjlUf/y02lztqjt+\nOqTX6RwEa+o/k81m1YihAzTv+rwePyTisYaQWKihnnU9J35/6vCAHUPu9g698KpD9R+eOw/U/995\nINT3daKJZO0YCnw5OTlyu93yeDyyWCySpI6ODo0aNUr79u3TiRMnNHjwYElSY2OjcnNzQ3p9h8Nh\npHlA3NXQlUOkK4ekS3Lp/drDsW5OwvD+3do7PPpTTYc+OtmmS75hk0XSx1+45HJ79OHJtgu+jjcs\nHmz4QnsPfqTkZIuGZqXo2sL+siZZuv038VZDSDzUUGDBnhNffee0/nzoy26f6/y+bmpq0vXfGhCN\npiY8Q4Hv29/+ttLS0vQf//Efuueee3TgwAG9+uqrevbZZ/XRRx+ptLRUq1atUl1dnaqqqlRWVhbS\n6+fl5Z03NAwEo7W1VQ6HgxoyocIrzt/XuRcwd0h/SdIHH53psUfQGxCPfNqq2o9duqbwEr/eAWoI\nRlFDkfO7Pf8vqONqP3ap2XnWNL193hqKBEOBLzU1Vc8//7weffRRXX311erXr59+/vOfq7CwUKtW\nrdLDDz+sqVOnKiMjQytWrAj5Ct3U1FTZ7XYjTUQfRw31HXfOOv/80vnevz3NBWw65VTl7kbZbMnn\nXSVIDcEoaih83vl6n33hf99u7xzoru/rplNONZ1y6mDDF92+n/syw+vwXXrppfrNb35z3v4BAwZo\n7dq1Rl8eAMLW+crfYMJf51u7zZ02vJdbC6CrrstZ/U1mmqZeNVTFN527UKPz+7rrck5c9euPW6sB\n6BO6C3893dqtpv4ztbU59a0P67Tg78Yk/NAQkIi6Lt0yOCvDr9eup+WcWO7KH4EPQJ/j/ZAovqkg\nYO+Ad+7fkU8bVXv0FEu7ADEQytItnZdzGnHpQLV3ePTgr/7C+/b/EPgA9FnhLPbM3QCA6Oq8zl7e\n0IGae22e6o+fuuCapV3fzy9yFw8/BD4AUPCLPXee50evARAZkb7XOHfxOB+BDwB0/hy/57a/p3dq\nP5Ytxe63tEvneX70GsCMYnEni0jfa7zrUHCbq73PD+8S+ACgi2RrkopvzNeVQ1waWXC5tr5xpNt5\nfvT2wYw6h6/e+mIT6XuNB+qx78tf1Ah8ANCDnub50dsHM4rFcGik7zXe+X374K/+4vdcXx3eJfAB\nQJA69xqw5hfMKpQrYyOl83vLG/Ii1WMei98nHhH4gE5iMXcFiaOn3j7mCMEsugtf0db5vRVpLNdy\nDoEP6CQWc1eQmJgjBLOKZviKBZZrOYfAB3TCpfwIltnmCNG7jb6gL5/jCXxAJ8z1QDgStW56Wvvs\nvQ+aonJ3ka6L6soiOY6f8ntM4ES0JOp7NRIIfIi4QCf0RDiJx2LuChJfos4R6mnts9oww5/3/f/+\n0S/U5u6QLTlJ+Zdm+s4DXYOlV9fH3p+ZaOeQRNVXenj78jmewIeI6KmnwCvcD47eDI5mm7uC3pGo\nc4R6Wvuss+7CX6Deuc7vf6/3PjgZcttqI3AOQfD6yvzlrgus94WQ60Xg60OCGUoJ5XH9sWbfN3iX\nuyOouRAeWXzuAAAV9UlEQVShTGzvegLyMvPJCIkvkeYIBVr7rKdbywUKYr3lQuGzL3xwR0Mi1W2k\n9JWQ60XgSxDdhbXOgavzkEkw37x7GkoJ5bERF7pLQU+9D33hZITElEhzhAKtfeZu79B//bH2gvcV\nDpc3WI64dKAkqf74Kb/Hwf7MQOHT7B/c0ZBIdRspfS3kEviiLFK9aoHCmlfnIZNYffPurLsTeteT\neHd3Keg6NBxIXzgZITHF+xyhYIaxug57hRr+CrIzfT3/NptV+Z3OA8Esqtv5Z4YTBHf89Yg8HtHT\nF4J4r9to6Gsh1+LxeDyxbkR39u3bp9GjR8tut8e6KT0KZYKy2XW9FU7XE23nk3jXuxRcPDBNlwzK\nOO/v1V1wDOYDw+l06uDBgwlRQ4hPkaiheJwj1HXB6FuvGxF0b1igIBbq+zNcoYZP7/kjVn97zkPx\nrWs9exR/0wK8NTRu3DjDr0UPn4z1wkVqgnJvudBQSiiP6441+77BFwRxkg/mnqRdpdis+teSbxv9\ntYGYiMc5QkaGsWJ9UVOgnkfvOWnnnqP6qsXlOz7cK43RNyTqxVbh6lOBL1CwMzK3rTd1DWudA1d+\nEEEtmt+8Q9XTPUk7M3sXO8wtHucImWUYq7vwabFYglpmxowf5uGIxx7oWInH92qkmT7wBbNcSLRF\nolctnsJaJPTU29d1aBhIVF3DVTzcb9fMc7UC3e6uqwtdMNZXxGMPdKyY5YtQT0wZ+AKFvGgxOkG5\nrwt0pWB3+EaKRBKP99uN9bBsNAV7sUl3F4z1RX2hVytYZv4i5GXKwNfT6vGBhNsLR6AzLpQPIL6R\nIpGY7X67iSRQ+Os6haQv9/b1hV6tYPWFBZlNFfi8/5Neqj4S8Jhwr/pEfOAbKRJV1w/XT05+pU3b\nD/XKh4lZP8CCFcwFY33xC2Rf6NUKh1k7FhI+8AUzfHuh5UKQOPhGikTl/XB9fd+H50JGc4sqXqvv\nlQ8Ts36AhaOnC8b6Wm+fmYf3jTBrx0LCB76ehm/7pdn03auHE/JMhG+kSFTeD9f3jzb7LUHUGx8m\nZv0ACwe9fbgQs3YsJGTg69yr90nTVwGP++7Vw3nDmgzfSJHoYnHlrlk/wIyitw/dMWvHQkIGvp56\n9VjSA0A8i8WVu2b9ADMq2N4+Fm3uW8zasZCQga/r8MTFmWm6JCuDOXoA4l4srtw16wdYJPXU28cd\nO2AGCRn4ug5PTLtqKCczAAkn2sO7ff3q3FD01NvXWTyspYjeYbb3T8IEvq63RZt7bZ7fkioAkGii\nPbzL1bnhMfMdO8wWYqLJbO+fhAl8Xf/wt143Qv9a8u0YtwoAwhft4V2uzg1POHfseOPtDzV17NC4\nD1BmCzHRZLb3T8IEPrP94RE/+MaLeBDq8G7XUQ9ZJMfxU36PW13tfv+Gq3NDF+wdO3pzXUUj+CwN\nntmubk+YwGe2PzziB994EQ+CGd4NtNB853Nj58cSKxdEUjDz/DoP886dNryXW3hhfJYGz2xXtydM\n4DPbHx7xg2+8iAc9De96Q0Sguwn1JMVmZfpLFHS9c4pX52He9na3rhwSw0Z2g8/S4Jnt6vaIBb6m\npibNmjVLv/jFLzR16lSdOXNGP/vZz7Rnzx71799f99xzj4qKisJvqMn+8DAuUkOxfONFvOlak94Q\nEQ7qOTq8n0nFNxUEHOb93wOf6O1aj771YZ0W/N2YuJgqwmdpeMww9Sdige/BBx/U6dOnfdsPPfSQ\nMjIyVF1drcOHD2vx4sXKz89XYWFh0K/pbu/Qpu2HEvoPjOiJ1FAs33gRb3paE64z73DtiEsHSpLq\nj5/ye0w9R19Pw7xNp5xqknTk00bZbMkErQRmhqk/EQl8v/3tb5WRkaHBgwdLks6ePatdu3bp5Zdf\nls1mU2FhoWbOnKnKysqQAt8LrzpUubtRUuL+gRE9kRqK5Rsv4k1PIaLrnDy+BMcPbtVmXmaY+mM4\n8DU2NurZZ5/V7373O82ZM0eSdPToUdlsNg0Z8vXkhZycHL3yyishvXb9h6f9thPxD4zoYSgWfUF3\nPdCEhfgU7K3a6LxIPGb4vDEU+Nrb27VixQr9/Oc/V//+/X37z549q9TUVL9j7Xa7nE5nSK9/2SX9\ndLDhC9927pCLQn4NmNfcacPV3u5W/fHTGnHpAH1/6nBffbS2tvr9FwhVPNXQbdMv8z12u9rkdsWw\nMQjK3GnD1draqvccn+qMUzp5+us6Otx4ks+yBNPT5000RfL8YyjwPf3007r88st1zTXX+O1PS0tT\nW1ub3z6n06n09PSQXv9bl7aredRF+uhkm4ZkpWjMJW06ePCgkSbDZK4cIl05JF2SS+/XHj7veYfD\n0fuNgqlQQwjXuGxpXPbFevWd0/pzp8A30O7isywBXejzJt4ZCnwvvfSSmpqa9NJLL0mSvvzyS/3j\nP/6j7rrrLrlcLp04ccI3r6+xsVG5ubkhvf7I/BEqvCL1wgcCXbS2tsrhcCgvL++83mYgGNQQjPLW\n0F23jNXFFx9X/fHTyh3SXx5Jv9tzRiOGDtC86/MYok8w7vYOvfCqQ/Ufno76/0NvDUWC4cDX2fTp\n0/Xwww9r6tSpqq2tVWlpqVatWqW6ujpVVVWprKwspNdPTU2V3W430kT0cdQQjKKGYFRGeprunHXu\ngsXOc/sONnzB1bsJaNP2Q74LSiP9/7Dr8i+RXLw7ogsvWywW3+NVq1b5wl9GRoZWrFgR0hW6QDSZ\nYU0lAInHDFd79nXR/H/YdfmXSC7eHdHAt2vXLt/jAQMGaO3atYZeb/Mf42exSpiLGdZUApB4zHC1\nZ18X6n2vg+HthHip+ojf/vrjp/9v3qBxcX1rtcrdLFaJ6OBbNoBYYKH3xBfMfa9D1bkTorMRlw6Q\nFJnL8uM68El8ECM6+JYNIBZY6D3xBXPf62B6+zpPLfqk6Su/5/ql2fTdq4fr+1OHR+yK4LgPfHwQ\nIxiBJrp2vj1f3tCBkkVyHD+lvKEDNffaPG4/BSBmmEuc+ALd97rG0aT3PmhSis163meP93Grqz1g\np9Z3rx6u22eMiuhaf3Ed+G6ZmsMHMYLSdU5eTf1namtzyva/X6r++Gnffq8aR5NuvW6E/rXk2zFp\nLwAwlzjx9XQ7vc5DvV6dH3d1cWaaLsnKiFonRFwHvuIb8/m2g6B0nZNXd9x7W77Aq5QzXQBALPXW\nXGJ6EqOnp9vphWraVUOjGvjjOvABwerarR4MpgsAiKXemktMT2LvCHQxR08KsjOVYrP2ytQiAh9M\noac3mvcNNeLSgZLEvD0AcaG3rthlVYLe0bm3z93eof/6Y63eP9rs99nT3edQb/W2EvhgCl3faM9t\nf0/v1H6sbxV8U7d/j7UcAcSf3rpil1UJel88Xo1N4IPpJFuTVHxjvq4c4tLo0cwDBdC3sfYfJAIf\nAAAxF80LK+Kxtwm9j8AHAECMcWEFoo2xLgAAYowLKxBtBD4AAGIsf5j/hRRcWIFIY0gXAIAY48IK\nRBuBDwCAGOPCCkQbQ7oAAAAmR+ADAAAwOQIfAACAyTGHDwCAOBLNRZjRdxH4AACIIyzCjGjgKwMA\nAHGERZgRDQQ+AADiCIswIxo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(speed[2450:2650], '.')" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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noWrmNgJA5CAwAgipnoaqmdsIAJGDf84DMAVzGwEgctDDCMAULMMDAJGDwAjA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\niIiIiPhSYBQRERERX58BZXZkzqdUIoIAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(measurements[2450:2650,0], measurements[2450:2650,1], '.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### mmhhh.. okay, that's hard. The GPS sensor has fallen behind in a curve, followed by \"normal\" readings then has caught up with the actual position" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "array([ 2623, 15149, 2619, 15145, 15101, 13299, 2622, 2620, 15146,\n", " 13301, 15099, 15148, 13298, 2506, 15150, 2507, 2624, 15144,\n", " 15098, 2618, 2510, 13302, 15102, 14795, 2511, 2505, 14796,\n", " 2509, 16439, 14823, 13297, 15143, 2617, 14794, 15097, 16438,\n", " 14824, 6385, 13303])" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# we check for strong accelerations/deaccelarations\n", "acc = np.gradient(speed)\n", "outliers = np.argsort(np.abs(acc))[:-40:-1]\n", "outliers" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Okay, let's just remove those points with surroundings and let Kalman do the rest" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [], "source": [ "outliers = np.array([idx for idx in range(measurements.shape[0]) if np.min(np.abs(outliers - idx)) <= 12])\n", "measurements.mask[outliers] = True\n", "state_means, state_vars = kf.smooth(measurements)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# we smooth several times\n", "for _ in range(10):\n", " state_means, state_vars = kf.smooth(state_means[:,:3])" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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w6x2Dh08wzX7MoBH2399KuHlcckjXX1pO8InGw4tQUzeJRCKIRVUPn/f2mElO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lKBI3L64zs3IbvLmMyZzfx6Qs+Q7202q7wFjqvhY5pilar4GBo+q9USaJqb3kVKWNUSJRq1EQVZ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\nhEbO/wNthpYtXqhLrgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "speed = [3.6*haversine(state_means[i,1::-1], state_means[i+1,1::-1]) for i in np.arange(state_means.shape[0]-1)]\n", "plt.plot(speed)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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UseDX+hgcgaExhlmTCUedsPQF4Swf6mB9zEQAsBsTjjphEw7CEeoQN2YiANiZ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\nAMAAhDoAAAAD/P+Nqa6BCi9XjwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(speed[2450:2650], '.')" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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acM01eufVSiWec2rZvClyFRbK8YuTch48zrhGAMCgEDACYcAaYdGyv0uSbckX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\nJSVSQYG0YIHnz46xjZJnfGPXc62t5t0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GxcXBarVCp9NBo9GgqKgIJpMJ8fHxDvOmT5+O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\niMgpNoxERERE5BQbRiIiIiJy6n8ZInhi64IzpwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(state_means[2450:2650,0], state_means[2450:2650,1], 'r.')\n", "plt.plot(measurements[2450:2650,0], measurements[2450:2650,1], '.')" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [], "source": [ "coords.ix[:, ['lon', 'lat', 'ele']] = state_means[:,:3]\n", "orig_coords = coords.ix[~coords['idx'].isnull()].set_index('idx')" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [], "source": [ "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']" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "UphillDownhill(uphill=2598.7900974038143, downhill=2595.10654964988)" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "segment.get_uphill_downhill()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Finally, write everything back to the GPX file" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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IIAcSnzF9qgelKiI+/K91HZR7N5KFz2mzRZcuIeEjYuHUDZ3L1gIzCx+tdmHF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\nX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coords.ix[:, ['lon', 'lat', 'ele']] = state_means[:,:3]\n", "orig_coords = coords.ix[~coords['idx'].isnull()].set_index('idx')\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", "segment.points[0].speed = 0.0\n", "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": "code", "execution_count": 43, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [], "source": [ "with open('../gpx/3-laender-giro_cleaned.gpx', 'w') as fh:\n", " fh.write(gpx_file.to_xml())" ] } ], "metadata": { "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 }