{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Show the versions of all the software that is installed into the virutalenv." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import os\n", "import pandas\n", "import numpy as np\n", "from numpy import deg2rad\n", "from matplotlib.pyplot import rcParams\n", "from gaitanalysis import gait, controlid, motek\n", "from dtk import process" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import sys\n", "sys.path.append('../src')\n", "import utils" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "PATHS = utils.config_paths()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Load Data Set #1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Obinna provided me with some normal walking data. We exported the data from the D-Flow Motion Capture Module and included the HMB outputs. D-Flow sets missing values from HBM data to `0.000000` in the CSV file so I replace them with `NA` when loading. I also set the resulting data frame's index to the `TimeStamp` column. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "obinna = pandas.read_csv(os.path.join(PATHS['raw_data_dir'], 'T001', 'mocap-001.txt'),\n", " delimiter='\\t', index_col=\"TimeStamp\", na_values='0.000000')\n", "obinna.interpolate(method='index', inplace=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data frame has quite a few time series which are all floats except for the `FrameNumber` column which is an integer." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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FrameNumberLHEAD.PosXLHEAD.PosYLHEAD.PosZTHEAD.PosXTHEAD.PosYTHEAD.PosZRHEAD.PosXRHEAD.PosYRHEAD.PosZ...LFootPronation.PowRToeFlexion.AngRToeFlexion.MomRToeFlexion.PowLToeFlexion.AngLToeFlexion.MomLToeFlexion.PowHBM.COM.XHBM.COM.YHBM.COM.Z
TimeStamp
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534.1434321506-0.1338781.802301-0.110094-0.0350531.877750-0.0797420.0664751.812262-0.079780...3.383072-50.029976NaNNaN-37.450680NaNNaN-0.0161571.0530470.000089
534.1534921507-0.1358031.803772-0.112392-0.0369931.878395-0.0797900.0649711.813441-0.078906...4.533013-52.151505NaNNaN-34.989468NaNNaN-0.0177471.053069-0.001315
534.1634401508-0.1376731.804514-0.111986-0.0382491.879466-0.0797690.0631201.814527-0.078551...5.676908-52.940426NaNNaN-32.301228NaNNaN-0.0193051.053289-0.002729
534.1736671509-0.1390501.805609-0.112472-0.0401301.881146-0.0798010.0620411.815377-0.077297...5.926370-52.130554NaNNaN-29.346273NaNNaN-0.0208291.053700-0.004117
534.1836571510-0.1397081.806518-0.112732-0.0420131.882077-0.0800770.0605231.816613-0.077110...4.459104-49.897892NaNNaN-26.453875NaNNaN-0.0223151.054292-0.005445
534.1936941511-0.1414541.807322-0.112297-0.0425031.882891-0.0800690.0588571.818532-0.077116...2.974851-46.771679NaNNaN-23.841812NaNNaN-0.0237631.055050-0.006681
534.2036631512-0.1426361.808365-0.113005-0.0444881.884405-0.0800090.0579651.819803-0.076936...2.182817-43.236565NaNNaN-21.202551NaNNaN-0.0251641.055957-0.007800
534.2136931513-0.1436851.809031-0.113113-0.0459471.885674-0.0803920.0568631.821177-0.076052...1.854993-39.684643NaNNaN-18.382496NaNNaN-0.0265141.057007-0.008782
534.2236401514-0.1439851.809994-0.113110-0.0465081.887131-0.0805800.0559891.823080-0.074953...1.599045-36.405174NaNNaN-15.448208NaNNaN-0.0278051.058193-0.009624
534.2337441515-0.1445881.811345-0.113157-0.0469001.888166-0.0802020.0554291.824419-0.074824...1.180318-33.498482NaNNaN-12.492783NaNNaN-0.0290261.059506-0.010328
534.2436901516-0.1451971.811921-0.112521-0.0480581.889150-0.0804800.0550311.825913-0.074124...0.965360-30.991793NaNNaN-9.659924NaNNaN-0.0301681.060929-0.010896
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5559 rows × 617 columns

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NaN \n", "589.712359 NaN 9.449660 NaN \n", "\n", " LToeFlexion.Pow HBM.COM.X HBM.COM.Y HBM.COM.Z \n", "TimeStamp \n", "534.133513 NaN -0.014530 1.053222 0.001445 \n", "534.143432 NaN -0.016157 1.053047 0.000089 \n", "534.153492 NaN -0.017747 1.053069 -0.001315 \n", "534.163440 NaN -0.019305 1.053289 -0.002729 \n", "534.173667 NaN -0.020829 1.053700 -0.004117 \n", "534.183657 NaN -0.022315 1.054292 -0.005445 \n", "534.193694 NaN -0.023763 1.055050 -0.006681 \n", "534.203663 NaN -0.025164 1.055957 -0.007800 \n", "534.213693 NaN -0.026514 1.057007 -0.008782 \n", "534.223640 NaN -0.027805 1.058193 -0.009624 \n", "534.233744 NaN -0.029026 1.059506 -0.010328 \n", "534.243690 NaN -0.030168 1.060929 -0.010896 \n", "534.253640 NaN -0.031227 1.062439 -0.011329 \n", "534.263661 NaN -0.032196 1.064009 -0.011634 \n", "534.273497 NaN -0.033071 1.065621 -0.011822 \n", "534.283495 NaN -0.033848 1.067254 -0.011906 \n", "534.293643 NaN -0.034531 1.068885 -0.011886 \n", "534.303642 NaN -0.035132 1.070490 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NaN -0.020354 1.077710 -0.132171 \n", "589.702367 NaN -0.020537 1.077600 -0.131123 \n", "589.712359 NaN -0.020659 1.077320 -0.130033 \n", "\n", "[5559 rows x 617 columns]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "obinna" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this analysis we are only interested in the vertical ground reaction forces, the joint angles, the joint angular rates, and the joint torques. The D-Flow HBM computations give the angles and the torques. We will compute the rates ourselves. Here is a list of all of the vertical GRF, joint angle, and joint moment data." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "['FP1.ForY',\n", " 'FP2.ForY',\n", " 'PelvisX.Ang',\n", " 'PelvisX.Mom',\n", " 'PelvisY.Ang',\n", " 'PelvisY.Mom',\n", " 'PelvisZ.Ang',\n", " 'PelvisZ.Mom',\n", " 'PelvisYaw.Ang',\n", " 'PelvisYaw.Mom',\n", " 'PelvisForwardPitch.Ang',\n", " 'PelvisForwardPitch.Mom',\n", " 'PelvisRightRoll.Ang',\n", " 'PelvisRightRoll.Mom',\n", " 'TrunkFlexion.Ang',\n", " 'TrunkFlexion.Mom',\n", " 'TrunkRightBend.Ang',\n", " 'TrunkRightBend.Mom',\n", " 'TrunkLeftTwist.Ang',\n", " 'TrunkLeftTwist.Mom',\n", " 'HeadFlexion.Ang',\n", " 'HeadFlexion.Mom',\n", " 'HeadRightBend.Ang',\n", " 'HeadRightBend.Mom',\n", " 'HeadLeftTwist.Ang',\n", " 'HeadLeftTwist.Mom',\n", " 'RShoulderUp.Ang',\n", " 'RShoulderUp.Mom',\n", " 'LShoulderUp.Ang',\n", " 'LShoulderUp.Mom',\n", " 'RShoulderForward.Ang',\n", " 'RShoulderForward.Mom',\n", " 'LShoulderForward.Ang',\n", " 'LShoulderForward.Mom',\n", " 'RShoulderInward.Ang',\n", " 'RShoulderInward.Mom',\n", " 'LShoulderInward.Ang',\n", " 'LShoulderInward.Mom',\n", " 'RShoulderFlexion.Ang',\n", " 'RShoulderFlexion.Mom',\n", " 'LShoulderFlexion.Ang',\n", " 'LShoulderFlexion.Mom',\n", " 'RShoulderAbduction.Ang',\n", " 'RShoulderAbduction.Mom',\n", " 'LShoulderAbduction.Ang',\n", " 'LShoulderAbduction.Mom',\n", " 'RShoulderInternalRotation.Ang',\n", " 'RShoulderInternalRotation.Mom',\n", " 'LShoulderInternalRotation.Ang',\n", " 'LShoulderInternalRotation.Mom',\n", " 'RElbowFlexion.Ang',\n", " 'RElbowFlexion.Mom',\n", " 'LElbowFlexion.Ang',\n", " 'LElbowFlexion.Mom',\n", " 'RForeArmPronation.Ang',\n", " 'RForeArmPronation.Mom',\n", " 'LForeArmPronation.Ang',\n", " 'LForeArmPronation.Mom',\n", " 'RWristFlexion.Ang',\n", " 'RWristFlexion.Mom',\n", " 'LWristFlexion.Ang',\n", " 'LWristFlexion.Mom',\n", " 'RHandAbduction.Ang',\n", " 'RHandAbduction.Mom',\n", " 'LHandAbduction.Ang',\n", " 'LHandAbduction.Mom',\n", " 'RHipFlexion.Ang',\n", " 'RHipFlexion.Mom',\n", " 'LHipFlexion.Ang',\n", " 'LHipFlexion.Mom',\n", " 'RHipAbduction.Ang',\n", " 'RHipAbduction.Mom',\n", " 'LHipAbduction.Ang',\n", " 'LHipAbduction.Mom',\n", " 'RHipInternalRotation.Ang',\n", " 'RHipInternalRotation.Mom',\n", " 'LHipInternalRotation.Ang',\n", " 'LHipInternalRotation.Mom',\n", " 'RKneeFlexion.Ang',\n", " 'RKneeFlexion.Mom',\n", " 'LKneeFlexion.Ang',\n", " 'LKneeFlexion.Mom',\n", " 'RAnklePlantarFlexion.Ang',\n", " 'RAnklePlantarFlexion.Mom',\n", " 'LAnklePlantarFlexion.Ang',\n", " 'LAnklePlantarFlexion.Mom',\n", " 'RFootPronation.Ang',\n", " 'RFootPronation.Mom',\n", " 'LFootPronation.Ang',\n", " 'LFootPronation.Mom',\n", " 'RToeFlexion.Ang',\n", " 'RToeFlexion.Mom',\n", " 'LToeFlexion.Ang',\n", " 'LToeFlexion.Mom']" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "[col for col in obinna.columns if col.endswith('.Ang') or col.endswith('ForY') or col.endswith('.Mom')]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The angles are in degrees, so lets convert them to radians." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "for col in obinna.columns:\n", " if col.endswith('.Ang'):\n", " obinna[col] = deg2rad(obinna[col])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The vertical ground reaction forces are stored as variables with the extension `.ForY` and the right and left plates are designated by `FP2` and `FP1` respectively. The following plot shows the right foot vertical ground reaction force in Newtons." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAzkAAAHuCAYAAAC8tsKnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXm4bUdV7v2r07dJTtoT0hAIgRia0AcxSmgFVBDUS3NR\n", "VBQQvDSCSC5eDBdF5AJXUXoepLlKjxEFYkIwwgdC6EIXQggSmkASunQnp82p749ZY62xatVcq0bV\n", "3HufvU+9z7OftdZsatesWc0Y4x1jlPPe09DQ0NDQ0NDQ0NDQsFKwaqkr0NDQ0NDQ0NDQ0NDQMCSa\n", "ktPQ0NDQ0NDQ0NDQsKLQlJyGhoaGhoaGhoaGhhWFpuQ0NDQ0NDQ0NDQ0NKwoNCWnoaGhoaGhoaGh\n", "oWFFoSk5DQ0NDQ0NDQ0NDQ0rCllKjnPuzc65a5xzX1bH/o9z7mvOuS86597vnDtUnTvbOfcN59xl\n", "zrmHqOP3cM59OZz7m2EfpaGhoaGhoaGhoaGhIZ/J+XvgodGx84E7eu9PBy4HzgZwzp0GPAY4Ldzz\n", "GuecC/e8FniS9/4U4BTnXFxmQ0NDQ0NDQ0NDQ0NDFbKUHO/9x4GfRscu8N7vDz8/DRwfvj8SeIf3\n", 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I'll select a portion of the data which has suitable GRF profiles for extracting the landmarks." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "start = 500\n", "stop = 3500\n", "\n", "data = gait.GaitData(obinna.iloc[start:stop].copy())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now I compute all of the joint angular rates numerically with central differencing." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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PelvisX.RatePelvisY.RatePelvisZ.RatePelvisYaw.RatePelvisForwardPitch.RatePelvisRightRoll.RateTrunkFlexion.RateTrunkRightBend.RateTrunkLeftTwist.RateHeadFlexion.Rate...RHipInternalRotation.RateLHipInternalRotation.RateRKneeFlexion.RateLKneeFlexion.RateRAnklePlantarFlexion.RateLAnklePlantarFlexion.RateRFootPronation.RateLFootPronation.RateRToeFlexion.RateLToeFlexion.Rate
TimeStamp
539.1338810.1507720.0040670.1027780.552121-0.313880-0.5607280.7394410.749165-1.3521880.744846...-0.4231630.717820-0.2759070.433247-1.487446-1.134458-0.3121890.099003-0.1929283.610033
539.1438900.1609280.0097670.0931440.505838-0.274823-0.5603360.6931730.751553-1.2644650.726263...-0.3751130.716841-0.7765640.360001-1.489845-0.999947-0.4846880.200675-0.0403342.985143
539.1539290.1705490.0143740.0827980.459838-0.235652-0.5556640.6471030.749917-1.1818690.700351...-0.3239910.720383-1.2735310.282464-1.481764-0.874887-0.6206500.3073960.1309182.415867
539.1639130.1789550.0173020.0709360.408815-0.193793-0.5384890.5982470.732206-1.1015820.658444...-0.2585640.720492-1.7641350.198230-1.443396-0.768744-0.6904790.4109750.3256631.944071
539.1738870.1907440.0194070.0593620.358745-0.148175-0.5192580.5531930.710570-1.0389140.618358...-0.1821270.715549-2.3025130.116233-1.405452-0.708738-0.7152200.4976620.4866181.614292
539.1833590.1974290.0197090.0452260.296807-0.084939-0.4785010.4741730.661355-0.9413120.556490...-0.1002030.676440-2.7899040.032748-1.309441-0.655939-0.6559770.5414980.5510881.260701
539.1933380.1984290.0181850.0295730.233192-0.007217-0.4216570.3620050.592931-0.8235550.484443...-0.0286410.623191-3.176443-0.047965-1.164453-0.588945-0.5265440.5505450.5941220.753866
539.2033780.1999250.0157480.0146790.1819540.072873-0.3631030.2456780.522635-0.7308490.427084...0.0317560.579831-3.556703-0.124191-1.025162-0.530267-0.3677920.5495290.7046870.215371
539.2137720.2066710.0134160.0005500.1425760.153986-0.3124930.1370190.464398-0.6766720.390347...0.0850340.551432-4.063776-0.201455-0.926712-0.499010-0.1816710.5625050.886079-0.211651
539.2234690.2074780.011444-0.0135070.1004130.234894-0.2580140.0175770.400692-0.6061380.349889...0.1215260.494230-4.475078-0.271449-0.816792-0.4644690.0445310.5498691.144722-0.507711
539.2339420.2063540.011305-0.0265190.0587410.320233-0.213516-0.1142180.347378-0.5224280.319240...0.1466750.408000-4.777942-0.332294-0.713385-0.4497220.2567350.4939481.630099-0.642906
539.2438980.2134120.014016-0.0392520.0226410.423627-0.190963-0.2622410.321952-0.4498380.316225...0.1832290.313809-5.163864-0.400005-0.646520-0.4816690.4233360.4155592.436849-0.631240
539.2538910.2131830.017157-0.050315-0.0028190.512010-0.162450-0.4032110.283693-0.3729690.315284...0.2202010.207110-5.385070-0.452097-0.576615-0.5152280.5290670.3028053.078946-0.457259
539.2639280.2093030.018911-0.062615-0.0076300.588300-0.112064-0.5300040.212266-0.3314480.313416...0.2561330.127058-5.715187-0.500306-0.544402-0.5452250.6172660.1864923.191416-0.272990
539.2739280.2079340.020806-0.0779890.0052440.671224-0.050982-0.6582950.125781-0.3333650.312843...0.2996570.066938-6.277136-0.553376-0.568105-0.5759300.7069670.0575013.029762-0.283191
539.2833770.1994570.023791-0.0907480.0334250.7253860.002668-0.7544570.047977-0.3483610.301374...0.330416-0.004414-6.609499-0.566899-0.605916-0.5834370.737096-0.1076852.733710-0.460727
539.2933210.1831370.026638-0.1002320.0861420.7390040.052905-0.802252-0.027191-0.3828850.278553...0.332111-0.054443-6.671033-0.536433-0.660021-0.5679040.706081-0.2561692.160346-0.633099
539.3033210.1686600.030369-0.1124510.1644480.7479550.107066-0.837846-0.108265-0.4537610.255533...0.313573-0.070425-6.835590-0.496782-0.774232-0.5623140.683980-0.3741511.481720-0.742421
539.3133520.1523360.036833-0.1247000.2413790.7341730.150850-0.841937-0.178012-0.5237560.225784...0.275353-0.096281-6.912574-0.436181-0.917272-0.5656310.678920-0.4929831.026642-0.724231
539.3233560.1344650.046203-0.1352360.3063540.6984620.177436-0.815541-0.225062-0.5802580.190595...0.214162-0.138993-6.827498-0.355486-1.040596-0.5697060.687063-0.6103250.855886-0.644964
539.3334330.1143970.055829-0.1412280.3651140.6413670.185750-0.760591-0.243954-0.6211430.153575...0.110960-0.165452-6.464957-0.246083-1.083726-0.5622750.701956-0.6944040.672189-0.670540
539.3439340.0985500.068395-0.1498850.4309530.6008360.182885-0.723807-0.245581-0.6671580.124482...-0.014252-0.185855-6.170680-0.118800-1.085736-0.5818870.760149-0.7817970.356708-0.833114
539.3539360.0876350.086624-0.1645980.5050880.5861620.166760-0.716570-0.226996-0.7212860.096242...-0.142878-0.218125-6.0178000.023620-1.073117-0.6355620.848817-0.887232-0.050506-1.018629
539.3634350.0734040.101984-0.1705300.5440870.5465790.123710-0.678267-0.163687-0.7169300.058980...-0.247823-0.230179-5.4463580.167961-0.952599-0.6417200.866853-0.909389-0.508479-1.172346
539.3733260.0566080.109381-0.1638980.5377010.4789530.068952-0.605301-0.077756-0.6456040.022546...-0.303336-0.200709-4.4887220.286876-0.715454-0.5688220.794513-0.823835-0.989112-1.417391
539.3839220.0442620.121110-0.1632280.5410040.4412990.015951-0.5713790.008452-0.585128-0.004738...-0.337126-0.170797-3.7439810.409456-0.453149-0.4999010.740594-0.753196-1.544236-1.826493
539.3939070.0342740.142311-0.1694580.5524730.436295-0.056231-0.5850110.126088-0.526225-0.023488...-0.349096-0.164505-3.1577870.565342-0.142579-0.4556740.732004-0.718334-1.998882-2.284696
539.4033580.0217180.157747-0.1618610.5124700.415197-0.152404-0.5823610.279327-0.407962-0.031126...-0.304307-0.164575-2.3710270.6991060.239291-0.3771470.691046-0.637774-1.986514-2.547718
539.4133500.0075560.168445-0.1464650.4551560.388194-0.251853-0.5737740.438128-0.281475-0.030598...-0.246959-0.177652-1.6388010.8040480.629368-0.2742010.642650-0.562286-1.816265-2.749792
539.423367-0.0083500.178241-0.1294880.4067990.358228-0.340091-0.5624430.580892-0.178258-0.026712...-0.209103-0.197756-1.0739620.8969910.999224-0.1564810.604230-0.521376-1.770452-2.992274
..................................................................
568.832779-0.086854-0.2160610.0775460.542278-0.6154651.0422220.831294-1.662116-1.213044-0.516874...0.4876690.1412764.8669930.2835996.384958-0.6982020.1723900.1342966.8299341.032123
568.842797-0.057147-0.2025810.0812170.491240-0.6314020.9147120.932477-1.456425-1.211154-0.565919...0.5442970.2156754.6179930.1128286.402966-0.5535470.2306350.2527026.287837-0.039501
568.852847-0.027617-0.1899450.0860700.478310-0.6333580.7911731.005831-1.261049-1.260163-0.588092...0.5496140.3756984.346952-0.0888766.190570-0.2681910.2386090.4452805.557559-1.596418
568.862824-0.000403-0.1766500.0921540.496089-0.6242320.6690281.048055-1.073308-1.344025-0.574619...0.5072550.5926844.041422-0.3115865.6824700.1035470.1914710.6914994.735356-3.338038
568.8728220.023261-0.1571730.0955470.520262-0.5767140.5288701.011333-0.862229-1.402155-0.505112...0.4136030.8059473.589160-0.5197364.7499330.4910060.0902470.9278273.764362-4.919249
568.8834060.045001-0.1424340.1014180.577879-0.5248990.4082270.961238-0.687801-1.511086-0.427199...0.3071431.0432193.241377-0.7134813.8101740.875811-0.0153571.1907292.938456-6.437403
568.8933580.064903-0.1276240.1086290.648591-0.4774340.2790080.912436-0.508197-1.642909-0.348386...0.1908211.2187992.944059-0.8013122.8327721.052489-0.0897051.3313022.249870-6.994201
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568.9134250.086243-0.0702740.1109170.663626-0.394175-0.0861110.781208-0.021117-1.677422-0.173535...-0.0568250.7661042.122708-0.1903370.625216-0.305116-0.0022190.3168531.084452-0.787674
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568.9927160.1554540.0303860.0740990.453212-0.080253-0.5549430.3325300.631545-1.2944320.098904...-0.425331-0.086642-1.2622740.566633-4.676410-1.8301651.321415-1.0071410.8109565.462140
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3000 rows × 46 columns

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" ], "text/plain": [ " PelvisX.Rate PelvisY.Rate PelvisZ.Rate PelvisYaw.Rate \\\n", "TimeStamp \n", "539.133881 0.150772 0.004067 0.102778 0.552121 \n", "539.143890 0.160928 0.009767 0.093144 0.505838 \n", "539.153929 0.170549 0.014374 0.082798 0.459838 \n", "539.163913 0.178955 0.017302 0.070936 0.408815 \n", "539.173887 0.190744 0.019407 0.059362 0.358745 \n", "539.183359 0.197429 0.019709 0.045226 0.296807 \n", "539.193338 0.198429 0.018185 0.029573 0.233192 \n", "539.203378 0.199925 0.015748 0.014679 0.181954 \n", "539.213772 0.206671 0.013416 0.000550 0.142576 \n", "539.223469 0.207478 0.011444 -0.013507 0.100413 \n", "539.233942 0.206354 0.011305 -0.026519 0.058741 \n", "539.243898 0.213412 0.014016 -0.039252 0.022641 \n", "539.253891 0.213183 0.017157 -0.050315 -0.002819 \n", "539.263928 0.209303 0.018911 -0.062615 -0.007630 \n", "539.273928 0.207934 0.020806 -0.077989 0.005244 \n", "539.283377 0.199457 0.023791 -0.090748 0.033425 \n", "539.293321 0.183137 0.026638 -0.100232 0.086142 \n", "539.303321 0.168660 0.030369 -0.112451 0.164448 \n", "539.313352 0.152336 0.036833 -0.124700 0.241379 \n", "539.323356 0.134465 0.046203 -0.135236 0.306354 \n", "539.333433 0.114397 0.055829 -0.141228 0.365114 \n", "539.343934 0.098550 0.068395 -0.149885 0.430953 \n", "539.353936 0.087635 0.086624 -0.164598 0.505088 \n", "539.363435 0.073404 0.101984 -0.170530 0.544087 \n", "539.373326 0.056608 0.109381 -0.163898 0.537701 \n", "539.383922 0.044262 0.121110 -0.163228 0.541004 \n", "539.393907 0.034274 0.142311 -0.169458 0.552473 \n", "539.403358 0.021718 0.157747 -0.161861 0.512470 \n", "539.413350 0.007556 0.168445 -0.146465 0.455156 \n", "539.423367 -0.008350 0.178241 -0.129488 0.406799 \n", "... ... ... ... ... \n", "568.832779 -0.086854 -0.216061 0.077546 0.542278 \n", "568.842797 -0.057147 -0.202581 0.081217 0.491240 \n", "568.852847 -0.027617 -0.189945 0.086070 0.478310 \n", "568.862824 -0.000403 -0.176650 0.092154 0.496089 \n", "568.872822 0.023261 -0.157173 0.095547 0.520262 \n", "568.883406 0.045001 -0.142434 0.101418 0.577879 \n", "568.893358 0.064903 -0.127624 0.108629 0.648591 \n", "568.903396 0.077401 -0.101122 0.110309 0.668172 \n", "568.913425 0.086243 -0.070274 0.110917 0.663626 \n", "568.923387 0.094264 -0.041604 0.110712 0.655510 \n", "568.933373 0.101709 -0.018906 0.109085 0.648840 \n", "568.943435 0.109579 -0.002356 0.106672 0.645169 \n", "568.953377 0.121395 0.009703 0.106006 0.652846 \n", "568.962733 0.125105 0.017380 0.096593 0.602658 \n", "568.973370 0.129305 0.022133 0.086620 0.543867 \n", "568.983426 0.147453 0.027834 0.084086 0.525102 \n", "568.992716 0.155454 0.030386 0.074099 0.453212 \n", "569.002781 0.152762 0.028810 0.058842 0.349101 \n", "569.013369 0.165951 0.027787 0.048483 0.284082 \n", "569.022793 0.180845 0.025165 0.036241 0.222214 \n", "569.032747 0.178974 0.020398 0.020120 0.145029 \n", "569.043376 0.192263 0.018808 0.005571 0.083415 \n", "569.052749 0.205879 0.018241 -0.010108 0.026886 \n", "569.062761 0.200106 0.016479 -0.024256 -0.014120 \n", "569.073382 0.205502 0.016631 -0.038767 -0.041502 \n", "569.083411 0.214700 0.018025 -0.055097 -0.058303 \n", "569.093439 0.215536 0.018959 -0.070862 -0.059085 \n", "569.103401 0.219268 0.020873 -0.088260 -0.057665 \n", "569.112887 0.216929 0.023871 -0.102888 -0.056118 \n", "569.122730 0.208909 0.027119 -0.114074 -0.051988 \n", "\n", " PelvisForwardPitch.Rate PelvisRightRoll.Rate TrunkFlexion.Rate \\\n", "TimeStamp \n", "539.133881 -0.313880 -0.560728 0.739441 \n", "539.143890 -0.274823 -0.560336 0.693173 \n", "539.153929 -0.235652 -0.555664 0.647103 \n", "539.163913 -0.193793 -0.538489 0.598247 \n", "539.173887 -0.148175 -0.519258 0.553193 \n", "539.183359 -0.084939 -0.478501 0.474173 \n", "539.193338 -0.007217 -0.421657 0.362005 \n", "539.203378 0.072873 -0.363103 0.245678 \n", "539.213772 0.153986 -0.312493 0.137019 \n", "539.223469 0.234894 -0.258014 0.017577 \n", "539.233942 0.320233 -0.213516 -0.114218 \n", "539.243898 0.423627 -0.190963 -0.262241 \n", "539.253891 0.512010 -0.162450 -0.403211 \n", "539.263928 0.588300 -0.112064 -0.530004 \n", "539.273928 0.671224 -0.050982 -0.658295 \n", "539.283377 0.725386 0.002668 -0.754457 \n", "539.293321 0.739004 0.052905 -0.802252 \n", "539.303321 0.747955 0.107066 -0.837846 \n", "539.313352 0.734173 0.150850 -0.841937 \n", "539.323356 0.698462 0.177436 -0.815541 \n", "539.333433 0.641367 0.185750 -0.760591 \n", "539.343934 0.600836 0.182885 -0.723807 \n", "539.353936 0.586162 0.166760 -0.716570 \n", "539.363435 0.546579 0.123710 -0.678267 \n", "539.373326 0.478953 0.068952 -0.605301 \n", "539.383922 0.441299 0.015951 -0.571379 \n", "539.393907 0.436295 -0.056231 -0.585011 \n", "539.403358 0.415197 -0.152404 -0.582361 \n", "539.413350 0.388194 -0.251853 -0.573774 \n", "539.423367 0.358228 -0.340091 -0.562443 \n", "... ... ... ... \n", "568.832779 -0.615465 1.042222 0.831294 \n", "568.842797 -0.631402 0.914712 0.932477 \n", "568.852847 -0.633358 0.791173 1.005831 \n", "568.862824 -0.624232 0.669028 1.048055 \n", "568.872822 -0.576714 0.528870 1.011333 \n", "568.883406 -0.524899 0.408227 0.961238 \n", "568.893358 -0.477434 0.279008 0.912436 \n", "568.903396 -0.427353 0.103554 0.839047 \n", "568.913425 -0.394175 -0.086111 0.781208 \n", "568.923387 -0.364144 -0.247795 0.726990 \n", "568.933373 -0.331723 -0.363125 0.672184 \n", "568.943435 -0.300863 -0.444584 0.625330 \n", "568.953377 -0.276553 -0.515559 0.597491 \n", "568.962733 -0.227178 -0.528477 0.521621 \n", "568.973370 -0.174219 -0.524053 0.443635 \n", "568.983426 -0.133997 -0.562304 0.405739 \n", "568.992716 -0.080253 -0.554943 0.332530 \n", "569.002781 -0.020960 -0.507467 0.236920 \n", "569.013369 0.041532 -0.502766 0.161876 \n", "569.022793 0.112826 -0.487254 0.081009 \n", "569.032747 0.172823 -0.425117 -0.003010 \n", "569.043376 0.245492 -0.403976 -0.083460 \n", "569.052749 0.319942 -0.380060 -0.164725 \n", "569.062761 0.359173 -0.320940 -0.220133 \n", "569.073382 0.415232 -0.283840 -0.282378 \n", "569.083411 0.482044 -0.246908 -0.354497 \n", "569.093439 0.531058 -0.195064 -0.412893 \n", "569.103401 0.588053 -0.152405 -0.479163 \n", "569.112887 0.629091 -0.121913 -0.535056 \n", "569.122730 0.651689 -0.098348 -0.574710 \n", "\n", " TrunkRightBend.Rate TrunkLeftTwist.Rate HeadFlexion.Rate \\\n", "TimeStamp \n", "539.133881 0.749165 -1.352188 0.744846 \n", "539.143890 0.751553 -1.264465 0.726263 \n", "539.153929 0.749917 -1.181869 0.700351 \n", "539.163913 0.732206 -1.101582 0.658444 \n", "539.173887 0.710570 -1.038914 0.618358 \n", "539.183359 0.661355 -0.941312 0.556490 \n", "539.193338 0.592931 -0.823555 0.484443 \n", "539.203378 0.522635 -0.730849 0.427084 \n", "539.213772 0.464398 -0.676672 0.390347 \n", "539.223469 0.400692 -0.606138 0.349889 \n", "539.233942 0.347378 -0.522428 0.319240 \n", "539.243898 0.321952 -0.449838 0.316225 \n", "539.253891 0.283693 -0.372969 0.315284 \n", "539.263928 0.212266 -0.331448 0.313416 \n", "539.273928 0.125781 -0.333365 0.312843 \n", "539.283377 0.047977 -0.348361 0.301374 \n", "539.293321 -0.027191 -0.382885 0.278553 \n", "539.303321 -0.108265 -0.453761 0.255533 \n", "539.313352 -0.178012 -0.523756 0.225784 \n", "539.323356 -0.225062 -0.580258 0.190595 \n", "539.333433 -0.243954 -0.621143 0.153575 \n", "539.343934 -0.245581 -0.667158 0.124482 \n", "539.353936 -0.226996 -0.721286 0.096242 \n", "539.363435 -0.163687 -0.716930 0.058980 \n", "539.373326 -0.077756 -0.645604 0.022546 \n", "539.383922 0.008452 -0.585128 -0.004738 \n", "539.393907 0.126088 -0.526225 -0.023488 \n", "539.403358 0.279327 -0.407962 -0.031126 \n", "539.413350 0.438128 -0.281475 -0.030598 \n", "539.423367 0.580892 -0.178258 -0.026712 \n", "... ... ... ... \n", "568.832779 -1.662116 -1.213044 -0.516874 \n", "568.842797 -1.456425 -1.211154 -0.565919 \n", "568.852847 -1.261049 -1.260163 -0.588092 \n", "568.862824 -1.073308 -1.344025 -0.574619 \n", "568.872822 -0.862229 -1.402155 -0.505112 \n", "568.883406 -0.687801 -1.511086 -0.427199 \n", "568.893358 -0.508197 -1.642909 -0.348386 \n", "568.903396 -0.268593 -1.676911 -0.257726 \n", "568.913425 -0.021117 -1.677422 -0.173535 \n", "568.923387 0.183144 -1.662543 -0.097431 \n", "568.933373 0.328211 -1.638922 -0.034540 \n", "568.943435 0.433279 -1.622314 0.010991 \n", "568.953377 0.525998 -1.644708 0.042779 \n", "568.962733 0.558001 -1.534054 0.062864 \n", "568.973370 0.568953 -1.412801 0.075522 \n", "568.983426 0.625142 -1.413956 0.090724 \n", "568.992716 0.631545 -1.294432 0.098904 \n", "569.002781 0.593742 -1.090633 0.098953 \n", "569.013369 0.607120 -1.002793 0.102043 \n", "569.022793 0.607172 -0.922438 0.095480 \n", "569.032747 0.545478 -0.768431 0.072555 \n", "569.043376 0.530434 -0.685085 0.054911 \n", "569.052749 0.505924 -0.604300 0.038682 \n", "569.062761 0.429063 -0.491297 0.018360 \n", "569.073382 0.375214 -0.433384 0.003077 \n", "569.083411 0.316974 -0.407863 -0.006610 \n", "569.093439 0.240090 -0.391864 -0.015901 \n", "569.103401 0.176364 -0.387764 -0.021290 \n", "569.112887 0.129345 -0.370059 -0.020062 \n", "569.122730 0.092696 -0.343738 -0.017418 \n", "\n", " ... RHipInternalRotation.Rate \\\n", "TimeStamp ... \n", "539.133881 ... -0.423163 \n", "539.143890 ... -0.375113 \n", "539.153929 ... -0.323991 \n", "539.163913 ... -0.258564 \n", "539.173887 ... -0.182127 \n", "539.183359 ... -0.100203 \n", "539.193338 ... -0.028641 \n", "539.203378 ... 0.031756 \n", "539.213772 ... 0.085034 \n", "539.223469 ... 0.121526 \n", "539.233942 ... 0.146675 \n", "539.243898 ... 0.183229 \n", "539.253891 ... 0.220201 \n", "539.263928 ... 0.256133 \n", "539.273928 ... 0.299657 \n", "539.283377 ... 0.330416 \n", "539.293321 ... 0.332111 \n", "539.303321 ... 0.313573 \n", "539.313352 ... 0.275353 \n", "539.323356 ... 0.214162 \n", "539.333433 ... 0.110960 \n", "539.343934 ... -0.014252 \n", "539.353936 ... -0.142878 \n", "539.363435 ... -0.247823 \n", "539.373326 ... -0.303336 \n", "539.383922 ... -0.337126 \n", "539.393907 ... -0.349096 \n", "539.403358 ... -0.304307 \n", "539.413350 ... -0.246959 \n", "539.423367 ... -0.209103 \n", "... ... ... \n", "568.832779 ... 0.487669 \n", "568.842797 ... 0.544297 \n", "568.852847 ... 0.549614 \n", "568.862824 ... 0.507255 \n", "568.872822 ... 0.413603 \n", "568.883406 ... 0.307143 \n", "568.893358 ... 0.190821 \n", "568.903396 ... 0.065455 \n", "568.913425 ... -0.056825 \n", "568.923387 ... -0.173884 \n", "568.933373 ... -0.278519 \n", "568.943435 ... -0.369785 \n", "568.953377 ... -0.450174 \n", "568.962733 ... -0.468070 \n", "568.973370 ... -0.461211 \n", "568.983426 ... -0.474825 \n", "568.992716 ... -0.425331 \n", "569.002781 ... -0.341580 \n", "569.013369 ... -0.298339 \n", "569.022793 ... -0.249480 \n", "569.032747 ... -0.168141 \n", "569.043376 ... -0.093779 \n", "569.052749 ... -0.009179 \n", "569.062761 ... 0.073243 \n", "569.073382 ... 0.149607 \n", "569.083411 ... 0.215493 \n", "569.093439 ... 0.256444 \n", "569.103401 ... 0.303357 \n", "569.112887 ... 0.347034 \n", "569.122730 ... 0.377126 \n", "\n", " LHipInternalRotation.Rate RKneeFlexion.Rate LKneeFlexion.Rate \\\n", "TimeStamp \n", "539.133881 0.717820 -0.275907 0.433247 \n", "539.143890 0.716841 -0.776564 0.360001 \n", "539.153929 0.720383 -1.273531 0.282464 \n", "539.163913 0.720492 -1.764135 0.198230 \n", "539.173887 0.715549 -2.302513 0.116233 \n", "539.183359 0.676440 -2.789904 0.032748 \n", "539.193338 0.623191 -3.176443 -0.047965 \n", "539.203378 0.579831 -3.556703 -0.124191 \n", "539.213772 0.551432 -4.063776 -0.201455 \n", "539.223469 0.494230 -4.475078 -0.271449 \n", "539.233942 0.408000 -4.777942 -0.332294 \n", "539.243898 0.313809 -5.163864 -0.400005 \n", "539.253891 0.207110 -5.385070 -0.452097 \n", "539.263928 0.127058 -5.715187 -0.500306 \n", "539.273928 0.066938 -6.277136 -0.553376 \n", "539.283377 -0.004414 -6.609499 -0.566899 \n", "539.293321 -0.054443 -6.671033 -0.536433 \n", "539.303321 -0.070425 -6.835590 -0.496782 \n", "539.313352 -0.096281 -6.912574 -0.436181 \n", "539.323356 -0.138993 -6.827498 -0.355486 \n", "539.333433 -0.165452 -6.464957 -0.246083 \n", "539.343934 -0.185855 -6.170680 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-0.043846 0.046269 0.637995 \n", "568.973370 -0.064786 -0.372035 0.614549 \n", "568.983426 -0.079682 -0.837955 0.628365 \n", "568.992716 -0.086642 -1.262274 0.566633 \n", "569.002781 -0.077028 -1.600366 0.454489 \n", "569.013369 -0.050148 -2.119223 0.387484 \n", "569.022793 -0.001446 -2.677728 0.314574 \n", "569.032747 0.042844 -2.973553 0.214896 \n", "569.043376 0.077784 -3.518995 0.144439 \n", "569.052749 0.106055 -4.071607 0.078302 \n", "569.062761 0.117051 -4.163018 0.013688 \n", "569.073382 0.129485 -4.446689 -0.041313 \n", "569.083411 0.154041 -4.933719 -0.096148 \n", "569.093439 0.176163 -5.380748 -0.144061 \n", "569.103401 0.167810 -5.936502 -0.177948 \n", "569.112887 0.121293 -6.262448 -0.178870 \n", "569.122730 0.065277 -6.365866 -0.159776 \n", "\n", " RAnklePlantarFlexion.Rate LAnklePlantarFlexion.Rate \\\n", "TimeStamp \n", "539.133881 -1.487446 -1.134458 \n", "539.143890 -1.489845 -0.999947 \n", "539.153929 -1.481764 -0.874887 \n", "539.163913 -1.443396 -0.768744 \n", "539.173887 -1.405452 -0.708738 \n", "539.183359 -1.309441 -0.655939 \n", "539.193338 -1.164453 -0.588945 \n", "539.203378 -1.025162 -0.530267 \n", "539.213772 -0.926712 -0.499010 \n", "539.223469 -0.816792 -0.464469 \n", "539.233942 -0.713385 -0.449722 \n", "539.243898 -0.646520 -0.481669 \n", "539.253891 -0.576615 -0.515228 \n", "539.263928 -0.544402 -0.545225 \n", "539.273928 -0.568105 -0.575930 \n", "539.283377 -0.605916 -0.583437 \n", "539.293321 -0.660021 -0.567904 \n", "539.303321 -0.774232 -0.562314 \n", "539.313352 -0.917272 -0.565631 \n", "539.323356 -1.040596 -0.569706 \n", "539.333433 -1.083726 -0.562275 \n", "539.343934 -1.085736 -0.581887 \n", "539.353936 -1.073117 -0.635562 \n", "539.363435 -0.952599 -0.641720 \n", "539.373326 -0.715454 -0.568822 \n", "539.383922 -0.453149 -0.499901 \n", "539.393907 -0.142579 -0.455674 \n", "539.403358 0.239291 -0.377147 \n", "539.413350 0.629368 -0.274201 \n", "539.423367 0.999224 -0.156481 \n", "... ... ... \n", "568.832779 6.384958 -0.698202 \n", "568.842797 6.402966 -0.553547 \n", "568.852847 6.190570 -0.268191 \n", "568.862824 5.682470 0.103547 \n", "568.872822 4.749933 0.491006 \n", "568.883406 3.810174 0.875811 \n", "568.893358 2.832772 1.052489 \n", "568.903396 1.712748 0.593906 \n", "568.913425 0.625216 -0.305116 \n", "568.923387 -0.425669 -1.111030 \n", "568.933373 -1.404815 -1.621402 \n", "568.943435 -2.297049 -1.928376 \n", "568.953377 -3.177597 -2.150609 \n", "568.962733 -3.681224 -2.109290 \n", "568.973370 -3.979018 -1.984063 \n", "568.983426 -4.545346 -1.994005 \n", "568.992716 -4.676410 -1.830165 \n", "569.002781 -4.312404 -1.552140 \n", "569.013369 -4.174564 -1.420883 \n", "569.022793 -3.901714 -1.274999 \n", "569.032747 -3.238561 -1.046794 \n", "569.043376 -2.867372 -0.959934 \n", "569.052749 -2.494216 -0.889814 \n", "569.062761 -1.955738 -0.747403 \n", "569.073382 -1.620672 -0.660038 \n", "569.083411 -1.360194 -0.589362 \n", "569.093439 -1.084395 -0.514288 \n", "569.103401 -0.864658 -0.483150 \n", "569.112887 -0.669194 -0.477313 \n", "569.122730 -0.488944 -0.476452 \n", "\n", " RFootPronation.Rate LFootPronation.Rate RToeFlexion.Rate \\\n", "TimeStamp \n", "539.133881 -0.312189 0.099003 -0.192928 \n", "539.143890 -0.484688 0.200675 -0.040334 \n", "539.153929 -0.620650 0.307396 0.130918 \n", "539.163913 -0.690479 0.410975 0.325663 \n", "539.173887 -0.715220 0.497662 0.486618 \n", "539.183359 -0.655977 0.541498 0.551088 \n", "539.193338 -0.526544 0.550545 0.594122 \n", "539.203378 -0.367792 0.549529 0.704687 \n", "539.213772 -0.181671 0.562505 0.886079 \n", "539.223469 0.044531 0.549869 1.144722 \n", "539.233942 0.256735 0.493948 1.630099 \n", "539.243898 0.423336 0.415559 2.436849 \n", "539.253891 0.529067 0.302805 3.078946 \n", "539.263928 0.617266 0.186492 3.191416 \n", "539.273928 0.706967 0.057501 3.029762 \n", "539.283377 0.737096 -0.107685 2.733710 \n", "539.293321 0.706081 -0.256169 2.160346 \n", "539.303321 0.683980 -0.374151 1.481720 \n", "539.313352 0.678920 -0.492983 1.026642 \n", "539.323356 0.687063 -0.610325 0.855886 \n", "539.333433 0.701956 -0.694404 0.672189 \n", "539.343934 0.760149 -0.781797 0.356708 \n", "539.353936 0.848817 -0.887232 -0.050506 \n", "539.363435 0.866853 -0.909389 -0.508479 \n", "539.373326 0.794513 -0.823835 -0.989112 \n", "539.383922 0.740594 -0.753196 -1.544236 \n", "539.393907 0.732004 -0.718334 -1.998882 \n", "539.403358 0.691046 -0.637774 -1.986514 \n", "539.413350 0.642650 -0.562286 -1.816265 \n", "539.423367 0.604230 -0.521376 -1.770452 \n", "... ... ... ... \n", "568.832779 0.172390 0.134296 6.829934 \n", "568.842797 0.230635 0.252702 6.287837 \n", "568.852847 0.238609 0.445280 5.557559 \n", "568.862824 0.191471 0.691499 4.735356 \n", "568.872822 0.090247 0.927827 3.764362 \n", "568.883406 -0.015357 1.190729 2.938456 \n", "568.893358 -0.089705 1.331302 2.249870 \n", "568.903396 -0.087357 0.990719 1.608053 \n", "568.913425 -0.002219 0.316853 1.084452 \n", "568.923387 0.133295 -0.308599 0.695368 \n", "568.933373 0.299750 -0.733232 0.432840 \n", "568.943435 0.501902 -1.008389 0.253676 \n", "568.953377 0.743926 -1.206039 0.143616 \n", "568.962733 0.925955 -1.221629 0.055372 \n", "568.973370 1.076419 -1.154896 0.035058 \n", "568.983426 1.280686 -1.142144 0.291812 \n", "568.992716 1.321415 -1.007141 0.810956 \n", "569.002781 1.256050 -0.792407 1.056653 \n", "569.013369 1.335443 -0.630991 1.034395 \n", "569.022793 1.401900 -0.441055 0.949698 \n", "569.032747 1.299969 -0.237877 0.841241 \n", "569.043376 1.288607 -0.099289 0.845849 \n", "569.052749 1.239812 0.020419 1.015854 \n", "569.062761 1.018222 0.114937 1.415042 \n", "569.073382 0.833005 0.195347 2.033433 \n", "569.083411 0.698878 0.278497 2.396506 \n", "569.093439 0.585387 0.336135 2.244864 \n", "569.103401 0.465054 0.349136 1.960988 \n", "569.112887 0.289563 0.302237 1.711731 \n", "569.122730 0.096115 0.229928 1.517740 \n", "\n", " LToeFlexion.Rate \n", "TimeStamp \n", "539.133881 3.610033 \n", "539.143890 2.985143 \n", "539.153929 2.415867 \n", "539.163913 1.944071 \n", "539.173887 1.614292 \n", "539.183359 1.260701 \n", "539.193338 0.753866 \n", "539.203378 0.215371 \n", "539.213772 -0.211651 \n", "539.223469 -0.507711 \n", "539.233942 -0.642906 \n", "539.243898 -0.631240 \n", "539.253891 -0.457259 \n", "539.263928 -0.272990 \n", "539.273928 -0.283191 \n", "539.283377 -0.460727 \n", "539.293321 -0.633099 \n", "539.303321 -0.742421 \n", "539.313352 -0.724231 \n", "539.323356 -0.644964 \n", "539.333433 -0.670540 \n", "539.343934 -0.833114 \n", "539.353936 -1.018629 \n", "539.363435 -1.172346 \n", "539.373326 -1.417391 \n", "539.383922 -1.826493 \n", "539.393907 -2.284696 \n", "539.403358 -2.547718 \n", "539.413350 -2.749792 \n", "539.423367 -2.992274 \n", "... ... \n", "568.832779 1.032123 \n", "568.842797 -0.039501 \n", "568.852847 -1.596418 \n", "568.862824 -3.338038 \n", "568.872822 -4.919249 \n", "568.883406 -6.437403 \n", "568.893358 -6.994201 \n", "568.903396 -4.766355 \n", "568.913425 -0.787674 \n", "568.923387 2.718131 \n", "568.933373 4.945757 \n", "568.943435 6.248697 \n", "568.953377 7.075746 \n", "568.962733 6.949304 \n", "568.973370 6.485397 \n", "568.983426 6.312790 \n", "568.992716 5.462140 \n", "569.002781 4.275556 \n", "569.013369 3.488094 \n", "569.022793 2.655062 \n", "569.032747 1.781125 \n", "569.043376 1.289324 \n", "569.052749 0.847336 \n", "569.062761 0.331258 \n", "569.073382 -0.145645 \n", "569.083411 -0.577165 \n", "569.093439 -0.862649 \n", "569.103401 -1.015559 \n", "569.112887 -1.015075 \n", "569.122730 -0.928625 \n", "\n", "[3000 rows x 46 columns]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "to_diff = [col for col in obinna.columns if col.endswith('.Ang')]\n", "new_names = [name.split('.')[0] + '.Rate' for name in to_diff]\n", "\n", "data.time_derivative(to_diff, new_names)\n", "\n", "data.data[new_names]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The strikes and toe offs can then be computed for this data." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA0gAAAKSCAYAAADoNfsmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXm4ZkV17/9ZPdLDgZ6YmlkZFAKKoIhzUMikYjRKjJho\n", "HJFcNbnxxgHFGOMQI79EEyecojcSveo1BOOABK4aFFBBGWRSGRuEhm6ahqa7gfr9savOqVNnT6dP\n", "1bt7+H6e5zznfd/znl17rKq1vmutMuccQgghhBBCCCFg1tA7IIQQQgghhBBbCzKQhBBCCCGEEMIj\n", "A0kIIYQQQgghPDKQhBBCCCGEEMIjA0kIIYQQQgghPDKQhBBCCCGEEMIjA0kIsUNiZg+Z2aVm9jMz\n", "+6qZLfafrzSz/9Pj/9c3fH6imT265f9ONrOfmtkVZnaZmZ1pZrt0tPXXZnacf/1GM1vQ8L0LzOxq\n", "f1yXmtmXuo5jOpjZfmb24hn8/wfM7Of++L8ajtvM9jezDdF+f6Th/28ws2Vb2n60nf3N7PJpfP+t\n", "HX//upntPN3tTgcz28fMzjezK/298/rob+80s1ui8/fbNf8/o2vXsW8f8Pv0fjNbYWYXmdmPzezJ\n", "JdoTQojSyEASQuyo3O+cO9I5dwSwDngNgHNulXPuhT3+v2kRud8HDq37g5+4vhH4befcbwCPAy4E\n", "dm9tyLnTnXP/5d++AVjYsk9/5I/rSOfcizqOYbocAPzRDP7/28BhzrnHANcCb4n+dn20369r+H8H\n", 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'RKneeFlexion.Rate',\n", " 'RKneeFlexion.Mom', marker='o')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see the mean gait cycle easily:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([,\n", " ,\n", " ,\n", " ], dtype=object)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA1UAAAKSCAYAAAA6ZfF+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl8VNX9//HXJztrQtj3HRRURBS1tQVrtbW1arUubbVi\n", "V9u6tdUqaiv9tXVp3dfa+hVwrdLaVq0bVnFXXEBQEUFkC0nYCSEJJOTz++OcIZOQAJKV8H4+HvPI\n", "nTt37j0zmWTmPefczzF3R0RERERERHZPSnM3QEREREREZE+mUCUiIiIiIlIPClUiIiIiIiL1oFAl\n", "IiIiIiJSDwpVIiIiIiIi9aBQJSIiIiIiUg8KVSLS6plZpZndl3Q9zcxWmdnjzdmunTGzKWZ28i5u\n", "O87MDm/AY08ys1/Vcx/FjXkcM/udmR21k23OMrOeSdf/Zmb77s7xdrFNGWb2nJnNMrNTatz2ZzOb\n", 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"source": [ "data.plot_gait_cycles('FP2.ForY', 'RKneeFlexion.Ang', 'RKneeFlexion.Rate', 'RKneeFlexion.Mom', mean=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Identify Controller with Full Gain Matrix for Data Set #1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this point we have the data in the form needed to identify a simple linear controller where we assume the sensors are fed back and subtract from a set point in the walking gait cycle, to give the error in the gait. This error vector is then multiplied by a gain matrix and added to the limit cycle control torques to power the plant in walking.\n", "\n", "The following gives the equation that generates the controls given the error in the sensors at a single time step during a single foot step. $t$ here represents the time in the gait cycle, not time across all steps.\n", "\n", "$$m_m(t) = m(t)_0 + K(t) s_e(t) = m(t)_0 + K(t) [s_0(t) - s_m(t)]$$\n", "\n", "Now rearrange the equations such that we have one linear in both the gains, $K(t)$, and in $m^*(t)$:\n", "\n", "$$m_m(t) = m(t)_0 + K(t) s_0(t) - K(t) s_m(t) = m^*(t) - K(t) s_m(t)$$\n", "\n", "Here I specify the hypothesized sensors and controls, and the data to initialized the solver:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "sensors = ['RKneeFlexion.Ang',\n", " 'RKneeFlexion.Rate',\n", " 'RHipFlexion.Ang',\n", " 'RHipFlexion.Rate',\n", " 'LKneeFlexion.Ang',\n", " 'LKneeFlexion.Rate',\n", " 'LHipFlexion.Ang',\n", " 'LHipFlexion.Rate']\n", "\n", "controls = ['RKneeFlexion.Mom',\n", " 'RHipFlexion.Mom',\n", " 'LKneeFlexion.Mom',\n", " 'LHipFlexion.Mom']\n", "\n", "solver = controlid.SimpleControlSolver(right_steps, sensors, controls)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can solve the linear system for the gains at each time step and the $m^*(t)$:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "gains, controls_star, variance, gain_var, controls_star_var, estimated_controls = solver.solve()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(15, 4, 8)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gains.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following plot shows the identified gains as a function of the percentage of the gait cycle. The rows correspond to the controller outputs and the columns to the measured sensors. The shaded region depicts the standard deviation in the estimates." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA/UAAALKCAYAAABz4HE1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXeYZFWZuN+vc6jOOXdPT/dkmMREBoYoQZICAhJGUdBF\n", "QOS3Iqy6uGtAd0WMCCqgrIIYAAOwYEBxJUgWEEkzDMMwwyQm96Q+vz++U1O3b99K3VXVXd3nfZ56\n", "uurG0/e7J3znfEGMMTgcDofD4XA4HA6Hw+HIPnJGugAOh8PhcDgcDofD4XA4hoZT6h0Oh8PhcDgc\n", "DofD4chSnFLvcDgcDofD4XA4HA5HluKUeofD4XA4HA6Hw+FwOLIUp9Q7HA6Hw+FwOBwOh8ORpTil\n", "3uFwOBwOh8PhcDgcjizFKfUZREQeFJHzh3mNdhHZKiKSqnI5UoOT7+hERK4XkU+n4DorROSIYV5j\n", "iYi8ONyyOCI4+TpSgYgsE5GHUnCde0TknFSUyZE6nHxHH6lqL0XkahG5NQXXeU5EDhnudRyKk2/m\n", "yWql3g7CdlglaI2I3Coi5XbfLSLyn55jp4nIWyLyiTSX6WoR2WPLFP78P7vb2M+QMcasNMaUGWOG\n", "dZ1oiEhIRLaJyD3puH6SZXHyTREi0iki/Z4yrxCRzyRx/oDnnUmSeQ/stvD/mgNgjPmoMebzCd7r\n", 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The error bars on the green dots show the variance in the fit." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA1YAAAM9CAYAAACfb+LyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXeYVEX29z+HJEiaIQhIxqxr1hVddUYXXEFERTESDD8x\n", "rKtsFFf3FcNixpwAEVGRYA4kFQYQyUiGJQgMwSEOYRjicN4/6nb37e7bPd3T3dMzQ32fp5+Ze2/d\n", "CqfqVp1T59Q5oqpYWFhYWFhYWFhYWFhYlByV0l0BCwsLCwsLCwsLCwuL8g4rWFlYWFhYWFhYWFhY\n", "WCQIK1hZWFhYWFhYWFhYWFgkCCtYWVhYWFhYWFhYWFhYJAgrWFlYWFhYWFhYWFhYWCQIK1hZWFhY\n", "WFhYWFhYWFgkiHIlWInIIyKyWEQWisgwETlKROqJyPcislxExotIRrrraWFhYWFhYWFhYWFxZEGS\n", "HcdKRKoAVwGtgCrObVXV/gnm2wqYAJyiqvtFZAQwGjgN2Kqqz4vIw0CmqvZJpCwLCwsLCwsLCwsL\n", "C4t4kAqN1TdAT6AeUMv51U5CvruAg8DRjvB2NLAR6Ax84KT5ALg2CWVZWFhYWFhYWFhYWFjEjCrF\n", "J4kbTVX1jGRnqqrbReQlIBfYC4xT1e9FpJGqbnKSbQIaJbtsCwsLCwsLCwsLCwuLaEiFxmq8iPwp\n", 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"KfjARlcAAAAASUVORK5CYII=\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rcParams['figure.figsize'] = 14, 14\n", "axes = solver.plot_estimated_vs_measure_controls(estimated_controls, variance)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To get an idea of how each of the controller inputs affects the outputs I plot the contribution from each sensor error and gain to the different controls. To do this I make the assumption that the commanded angles and rates of the joints are the mean over a set of steps.\n", "\n", "$$s_0(t) = \\bar{s}(t)$$\n", "\n", "Then I can solve for $m_0(t)$:\n", "\n", "$$m_0(t) = m(t) - K(t) [\\bar{s}(t) - s(t)]$$\n", "\n", "And the contribution of $K(t) [\\bar{s}(t) - s(t)]$ to each of the controls $m(t)$ can be computed:\n", "\n", "$$m_1(t) = m_{0_1}(t) + K_{11} s_{e_1} + \\ldots + + K_{1p} s_{e_p}$$\n", "\n", "I plot the contributions from each sensor error and the nominal moments as stacked bar charts to get an idea of the contributions at each step. The first four steps are shown.\n", "\n", "The line plots below the bar charts show the same contributions but as a mean with respect to the step. Notice that the mean of the controller contributions is zero. This seems odd to me and believe it is an artifact of assuming the nominal sensors to be the mean of the sensors over the steps.\n", "\n", "I was expecting to see patterns in the controller behavior across the steps but if the majority of the control moments are due to $m_0(t)$ then the controller is just responsible for applying any moments due to deviations from $m_0(t)$." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAzIAAAPaCAYAAABMIm3CAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xu4VOV5///P7ZFKEqKAAU94ik0xGLQtFrWyNWgO9VCb\n", "hsbQSKKmjYmAmFRFf36dVBPJSWPiZRqT9ItJtEYbErE5mSibJpEI0WhUFIMFFcQDIF80SgF5fn/M\n", "Ghg2a+09h/XMmnvm/bquudh79prPPKyZtZ55Zj33WhZCEAAAAAB4slPRDQAAAACAejGQAQAAAOAO\n", "AxkAAAAA7jCQAQAAAOAOAxkAAAAA7jCQAQAAAOAOAxkAbcPMRpjZrWa21Mx+a2Y/MrO3Nph1gZn9\n", "ST9//4aZvS35+ZU6s99hZu+p+v1UM7u4kXbW+Hz9/l9qeUy9/8c+WT1m9v/M7HdmttjMrqr624fN\n", 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"solver.plot_control_contributions(estimated_controls)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Identify Controller with \"Diagonal\" Gain Matrix for Data Set #1" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ True, True, True, True, False, False, False, False],\n", " [ True, True, True, True, False, False, False, False],\n", " [False, False, False, False, True, True, True, True],\n", " [False, False, False, False, True, True, True, True]], dtype=bool)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gain_inclusion_matrix = np.ones((len(controls), len(sensors))).astype(bool)\n", "gain_inclusion_matrix[2:, :4] = False\n", "gain_inclusion_matrix[:2, 4:] = False\n", "gain_inclusion_matrix" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [], "source": [ "gains, controls_star, variance, gain_var, controls_star_var, estimated_controls = \\\n", " solver.solve(gain_inclusion_matrix=gain_inclusion_matrix)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA/MAAALKCAYAAAB+/gFyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXmYXFWZ/z/f6r27et+yp7NCAgIJEHYIsghRgfnNuC+A\n", "zOCCgugogo6DMyPjOKMg44aKgqgo44I4AsI4BHEUUASUTUAIJEACJBCydtLp9/fHOdV9+3ZVdVV3\n", "VXd19fk8z33q1l3OPfe895x733Pe874yMwKBQCAQCAQCgUAgEAhMHhITnYFAIBAIBAKBQCAQCAQC\n", "+RGU+UAgEAgEAoFAIBAIBCYZQZkPBAKBQCAQCAQCgUBgkhGU+UAgEAgEAoFAIBAIBCYZQZkPBAKB\n", "QCAQCAQCgUBgkhGU+UAgEAgEAoFAIBAIBCYZQZmfACStlnTWGNOYI2mLJBUqX4GxE2Rbekj6iqRP\n", "FCCdNZKOG2MaR0l6ZKx5CQwS5BsoBJLOkHRHAdK5UdI7CpGnQGEIsi09CtVWSrpY0jUFSOcBSUeP\n", "NZ1AkO1EUBbKvP8I2+4VoPWSrpHU5PddJemfI8fuI+k5SR8qcp4ulrTb5ym1/L3fbX4ZNWb2tJk1\n", "mtmY0smEpKSkrZJuLEb6eeQjyLZASOqR1B/J8xpJ/5DH+UPKe7zI5xnw21L3mQAws/ea2b/keK2r\n", 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"gain_inclusion_matrix[0, :2] = True\n", "gain_inclusion_matrix[1, 2:4] = True\n", "gain_inclusion_matrix[2, 4:6] = True\n", "gain_inclusion_matrix[3, 6:8] = True\n", "gain_inclusion_matrix" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [], "source": [ "gains, controls_star, variance, gain_var, controls_star_var, estimated_controls = \\\n", " solver.solve(gain_inclusion_matrix=gain_inclusion_matrix)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA/MAAALKCAYAAAB+/gFyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXmYXEXZt+/fZKZnyWQlISE7kkSWsGMIoBIFAYMCviiI\n", "yiYCyiqibC4EV9TPV1kUURYRFUFUXtCAIBJcQUGChkUIEEPIBmQl6yR5vj+qOnOm093TM+ltpp/7\n", "us7V59SpqlN1fqdOn6dWmRmO4ziO4ziO4ziO4/Qc6iqdAMdxHMdxHMdxHMdxuoYb847jOI7jOI7j\n", "OI7Tw3Bj3nEcx3Ecx3Ecx3F6GG7MO47jOI7jOI7jOE4Pw415x3Ecx3Ecx3Ecx+lhuDHvOI7jOI7j\n", 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Here is explanation:\n", "\n", ">Here is some data that was collected for a paper which is about to be published. Proofs and supplementary documentation are >attached.\n", ">\n", ">This is from a 77 kg male, 30 seconds of walking preceded by 1 second of standing. The treadmill speed increases gradually >in the beginning, at t=6.0 it is at its final constant speed to best to ignore anything that happens before that time.\n", ">\n", ">The dof file contains the generalized coordinates, dofvel the generalized velocities. The jointmoment file the corresponding >generalized forces. First line has the names of the generalized coordinates. The grf file has the ground reaction forces, >which you would use to determine where you are in the gait cycle (from heelstrike to heelstrike).\n", ">\n", ">CAREN_Trial04.txt is the raw data (mocap and force plate). You could actually load that file in D-Flow to produce the >variables that are on the other files, if you wanted to.\n", "\n", "I'll do the same analysis I did for the previous data but limit everything to the right leg because the left leg force plate measurements are botched." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true }, "outputs": [], "source": [ "tdir = os.path.join(PATHS['raw_data_dir'], 'T002')" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [], "source": [ "coordinates = pandas.read_csv(os.path.join(tdir, 'CAREN_Trial04_dof.txt'), delimiter='\\t', index_col=\"TimeStamp\")\n", "speeds = pandas.read_csv(os.path.join(tdir, 'CAREN_Trial04_dofvel.txt'), delimiter='\\t', index_col=\"TimeStamp\")\n", "generalized_forces = pandas.read_csv(os.path.join(tdir, 'CAREN_Trial04_jointmoment.txt'), delimiter='\\t', index_col=\"TimeStamp\")\n", "ground_reaction_forces = pandas.read_csv(os.path.join(tdir, 'CAREN_Trial04_grf.txt'), delimiter='\\t', index_col=\"TimeStamp\")\n", "raw_data = pandas.read_csv(os.path.join(tdir, 'CAREN_Trial04.txt'), delimiter='\\t', index_col=\"TimeStamp\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load in the separate data files and rename the columns to reflate the type of data so they can be merged into one big data frame." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [], "source": [ "coordinates.columns = [name + '.Ang' for name in coordinates.columns]\n", "speeds.columns = [name + '.Rate' for name in speeds.columns]\n", "generalized_forces.columns = [name + '.Mom' for name in generalized_forces.columns]" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [], "source": [ "all_data = coordinates.join(speeds).join(generalized_forces).join(ground_reaction_forces)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Take the data after 15 seconds to avoid the error in the right force plate data." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [], "source": [ "data = gait.GaitData(all_data[all_data.index > 15.0])" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA0gAAAKSCAYAAADoNfsmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXm8HUWZ//9+kpCN3CQ3G1kJYUlYBGRfVX4ojDpsyigy\n", "4oijOAIzI24jIIoiLowj4+h8BUEB4auIX1cMI4IIA7gAAoEECCRA9oQQkhAgIYGkfn9U9U3fvr2d\n", "c27frlP3eb9eeeXcPqf7VJ3qrqpPPUuJMQZFURRFURRFURQFBtRdAEVRFEVRFEVRFF9QgaQoiqIo\n", "iqIoiuJQgaQoiqIoiqIoiuJQgaQoiqIoiqIoiuJQgaQoiqIoiqIoiuJQgaQoiqIoiqIoiuJQgaQo\n", "Sr9ERLaKyMMi8qiI/EJERrjjk0Xk/5U4/+WM4yeLyF45550hIo+IyDwRmSMiV4vIqILv+pKIHOte\n", "nyciwzI+d5eIzHf1elhEflpUj0YQkekicnoL579HRB5zv/2BKe/vLCIvi8inMs5fJCJjmv3+2HV2\n", 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'RKneeFlexion.Ang', 'RKneeFlexion.Rate', 'RKneeFlexion.Mom', marker='o')\n", "axes = data.plot_gait_cycles('RFy', 'RKneeFlexion.Ang', 'RKneeFlexion.Rate', 'RKneeFlexion.Mom', mean=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Identify Right Side Controller For Data Set #2" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [], "source": [ "sensors = ['RKneeFlexion.Ang',\n", " 'RKneeFlexion.Rate',\n", " 'RHipFlexion.Ang',\n", " 'RHipFlexion.Rate']\n", "\n", "controls = ['RKneeFlexion.Mom',\n", " 'RHipFlexion.Mom']\n", "\n", "solver = controlid.SimpleControlSolver(right_steps, sensors, controls)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [], "source": [ "gains, controls, variance, gain_var, control_var, estimated_controls = solver.solve()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 8.97262812])" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "variance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is interesting to note that the gains here are of a very different scale than the previous data." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAA+oAAALKCAYAAAClRatQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3XmYHFd18P/vmU2jUc++7/tIGm0jabR4A9nYQja2bMcJ\n", "xmCQwYQ1YAiBYEOCk7yY5f2BIQuEhMW8hADOxs8kQHAAQRa2gHEwxq9tQLZlyfIiyZJmtIxmzvvH\n", "rbZqWr3OdHd1dZ/P88yjXqqrz7TmdtWpe++5oqoYY4wxxhhjjDGmMJQFHYAxxhhjjDHGGGPOsETd\n", "GGOMMcYYY4wpIJaoG2OMMcYYY4wxBcQSdWOMMcYYY4wxpoBYom6MMcYYY4wxxhQQS9SNMcYYY4wx\n", "xpgCYom6ySsR2S0iNy5yH30iclREJFtxGWPSY23YmPwTkY+LyLuzsJ89IvKCRe7jAhF5YLGxGFNK\n", "rA2bhbBEPeS8BjvtnfQ+ISKfE5E677k7RORPfNuuEpH9IvK7OY7pVhGZ8WKK/vye97R6Pwumqo+q\n", 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"output_type": "stream", "text": [ "9e80dfdcfe0a14b44e0ebcbadb6e9e827d215c3c\r\n" ] } ], "source": [ "!git --git-dir=/home/moorepants/src/GaitAnalysisToolKit/.git --work-tree=/home/moorepants/src/GaitAnalysisToolKit rev-parse HEAD" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Installed version_information.py. To use it, type:\n", " %load_ext version_information\n" ] } ], "source": [ "%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%load_ext version_information" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/json": { "Software versions": [ { "module": "Python", "version": "2.7.9 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]" }, { "module": "IPython", "version": "3.0.0" }, { "module": "OS", "version": "Linux 3.13.0 49 generic x86_64 with debian jessie sid" }, { "module": "numpy", "version": "1.9.2" }, { "module": "scipy", "version": "0.15.1" }, { "module": "pandas", "version": "0.16.0" }, { "module": "matplotlib", "version": "1.4.2" }, { "module": "tables", "version": "3.1.1" }, { "module": "oct2py", "version": "3.1.0" }, { "module": "dtk", "version": "0.4.0" }, { "module": "gaitanalysis", "version": "0.2.0dev" } ] }, "text/html": [ "
SoftwareVersion
Python2.7.9 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]
IPython3.0.0
OSLinux 3.13.0 49 generic x86_64 with debian jessie sid
numpy1.9.2
scipy0.15.1
pandas0.16.0
matplotlib1.4.2
tables3.1.1
oct2py3.1.0
dtk0.4.0
gaitanalysis0.2.0dev
Fri Apr 24 10:38:48 2015 PDT
" ], "text/latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.9 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)] \\\\ \\hline\n", "IPython & 3.0.0 \\\\ \\hline\n", "OS & Linux 3.13.0 49 generic x86\\_64 with debian jessie sid \\\\ \\hline\n", "numpy & 1.9.2 \\\\ \\hline\n", "scipy & 0.15.1 \\\\ \\hline\n", "pandas & 0.16.0 \\\\ \\hline\n", "matplotlib & 1.4.2 \\\\ \\hline\n", "tables & 3.1.1 \\\\ \\hline\n", "oct2py & 3.1.0 \\\\ \\hline\n", "dtk & 0.4.0 \\\\ \\hline\n", "gaitanalysis & 0.2.0dev \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Fri Apr 24 10:38:48 2015 PDT} \\\\ \\hline\n", "\\end{tabular}\n" ], "text/plain": [ "Software versions\n", "Python 2.7.9 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]\n", "IPython 3.0.0\n", "OS Linux 3.13.0 49 generic x86_64 with debian jessie sid\n", "numpy 1.9.2\n", "scipy 0.15.1\n", "pandas 0.16.0\n", "matplotlib 1.4.2\n", "tables 3.1.1\n", "oct2py 3.1.0\n", "dtk 0.4.0\n", "gaitanalysis 0.2.0dev\n", "Fri Apr 24 10:38:48 2015 PDT" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%version_information numpy, scipy, pandas, matplotlib, tables, oct2py, dtk, gaitanalysis" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "# packages in environment at /home/moorepants/anaconda/envs/gait-direct-id-paper:\n", "#\n", "backports.ssl-match-hostname 3.4.0.2 \n", "cairo 1.12.18 0 \n", "dateutil 2.4.1 py27_0 \n", "dynamicisttoolkit 0.4.0 py27_0 \n", "fastcache 1.0.2 py27_0 \n", "fontconfig 2.11.1 2 \n", "freetype 2.4.10 0 \n", "gaitanalysistoolkit (/home/moorepants/src/GaitAnalysisToolKit) 0.2.0.dev0 \n", "hdf5 1.8.14 0 \n", "ipython 3.0.0 py27_0 \n", "ipython-notebook 3.0.0 py27_1 \n", "jinja2 2.7.3 py27_1 \n", "jsonschema 2.4.0 py27_0 \n", "libpng 1.5.13 1 \n", "libsodium 0.4.5 0 \n", "libxml2 2.9.0 0 \n", "markupsafe 0.23 py27_0 \n", "matplotlib 1.4.2 np19py27_0 \n", "mistune 0.5.1 py27_0 \n", "nose 1.3.4 py27_1 \n", "numexpr 2.3.1 np19py27_0 \n", "numpy 1.9.2 py27_0 \n", "oct2py 3.1.0 py27_0 \n", "openssl 1.0.1k 1 \n", "pandas 0.16.0 np19py27_1 \n", "pip 6.1.1 py27_0 \n", "pixman 0.26.2 0 \n", "ptyprocess 0.4 py27_0 \n", "py2cairo 1.10.0 py27_2 \n", "pygments 2.0.2 py27_0 \n", "pyparsing 2.0.1 py27_0 \n", "pyqt 4.10.4 py27_0 \n", "pyside 1.2.1 py27_1 \n", "pytables 3.1.1 np19py27_2 \n", "python 2.7.9 2 \n", "python-dateutil 2.4.2 py27_0 \n", "pytz 2015.2 py27_0 \n", "pyyaml 3.11 py27_0 \n", "pyzmq 14.5.0 py27_0 \n", "qt 4.8.5 0 \n", "readline 6.2 2 \n", "scipy 0.15.1 np19py27_0 \n", "seaborn 0.5.1 np19py27_0 \n", "setuptools 15.0 py27_0 \n", "shiboken 1.2.1 py27_0 \n", "sip 4.15.5 py27_0 \n", "six 1.9.0 py27_0 \n", "snakeviz 0.3.1 \n", "sqlite 3.8.4.1 1 \n", "ssl_match_hostname 3.4.0.2 py27_0 \n", "sympy 0.7.6 py27_0 \n", "system 5.8 2 \n", "tables 3.1.1 \n", "terminado 0.5 py27_0 \n", "tk 8.5.18 0 \n", "tornado 4.1 py27_0 \n", "yaml 0.1.4 0 \n", "zeromq 4.0.4 0 \n", "zlib 1.2.8 0 \n" ] } ], "source": [ "!conda list" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "backports.ssl-match-hostname==3.4.0.2\r\n", "DynamicistToolKit==0.4.0\r\n", "fastcache==1.0.2\r\n", "-e git+git@github.com:csu-hmc/GaitAnalysisToolKit.git@9e80dfdcfe0a14b44e0ebcbadb6e9e827d215c3c#egg=GaitAnalysisToolKit-origin_speedup-inverse-dynamics\r\n", "ipython==3.0.0\r\n", "Jinja2==2.7.3\r\n", "jsonschema==2.4.0\r\n", "MarkupSafe==0.23\r\n", "matplotlib==1.4.2\r\n", "mistune==0.5.1\r\n", "nose==1.3.4\r\n", "numexpr==2.3.1\r\n", "numpy==1.9.2\r\n", "oct2py==3.1.0\r\n", "pandas==0.16.0\r\n", "ptyprocess==0.4\r\n", "Pygments==2.0.2\r\n", "pyparsing==2.0.1\r\n", "PySide==1.2.1\r\n", "python-dateutil==2.4.2\r\n", "pytz==2015.2\r\n", "PyYAML==3.11\r\n", "pyzmq==14.5.0\r\n", "scipy==0.15.1\r\n", "seaborn==0.5.1\r\n", "six==1.9.0\r\n", "snakeviz==0.3.1\r\n", "sympy==0.7.6\r\n", "tables==3.1.1\r\n", "terminado==0.5\r\n", "tornado==4.1\r\n" ] } ], "source": [ "!pip freeze" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }