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@adamsteer
Created February 20, 2016 04:02
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Plotting swath edge noise in fixed wing or helo based LiDAR for APPLS
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{
"cells": [
{
"cell_type": "code",
"execution_count": 371,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.optimize import curve_fit"
]
},
{
"cell_type": "code",
"execution_count": 372,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"## Looking at a small edge plot from ARA LiDAR"
]
},
{
"cell_type": "code",
"execution_count": 373,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"ara_edge = np.genfromtxt('/media/adam/data/PhD/ch3_lidarplot/ARA/070806_006_edge.asc', delimiter=' ')"
]
},
{
"cell_type": "code",
"execution_count": 374,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"ara_swath = np.genfromtxt('/media/adam/data/PhD/ch3_lidarplot/ARA/070806_006_subset.asc', delimiter=' ')"
]
},
{
"cell_type": "code",
"execution_count": 375,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"14.961"
]
},
"execution_count": 375,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"max(ara_swath[:,2])"
]
},
{
"cell_type": "code",
"execution_count": 376,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"1839"
]
},
"execution_count": 376,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(ara_edge[:,2])"
]
},
{
"cell_type": "code",
"execution_count": 377,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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S22nPYZ7tJ0eSYgG5TAQLvnJRug5pMFeCOvurZdKKSPz69fr7Mhiu2ctvsaDg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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f755d39da58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"plt.scatter(ara_swath[:,0], ara_swath[:,1],c=ara_swath[:,2], cmap = 'BrBG', vmin=0, vmax=10, edgecolors=None,lw=0)\n",
"plt.scatter(ara_edge[:,0], ara_edge[:,1],c=ara_edge[:,2], cmap = 'seismic', vmin=0, vmax=10, edgecolors=None,lw=0)\n",
"\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 378,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f75539e8358>]"
]
},
"execution_count": 378,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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220YHujjctHOfflraaJFR1qyBGTPKf17InrIx6jqU0hchboAbPtxfDwbicvTK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\nRERERERERESk+v4f8ktPxaEOnbAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f755a3c8cc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"plt.figure()\n",
"plt.plot(ara_edge[:,2])\n"
]
},
{
"cell_type": "code",
"execution_count": 379,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from scipy.interpolate import UnivariateSpline"
]
},
{
"cell_type": "code",
"execution_count": 380,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"fake_x_a = np.array(range(len(ara_edge[:,2])))"
]
},
{
"cell_type": "code",
"execution_count": 381,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"spl = UnivariateSpline(fake_x_a, ara_edge[:,2], k=5, s=10)"
]
},
{
"cell_type": "code",
"execution_count": 382,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f755a3da6a0>,\n",
" <matplotlib.lines.Line2D at 0x7f755a3dab00>]"
]
},
"execution_count": 382,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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G4qdXaFKuie59PwjRT9kUKfNowD94+aDzg2Ft4LOrcKy7J5uSPtLD9xith++uqzFXAbh+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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7558cfbdd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(fake_x_a, ara_edge[:,2], 'g',fake_x_a, spl(fake_x_a), 'b')"
]
},
{
"cell_type": "code",
"execution_count": 383,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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m6/zgg6P3y6Zd+24KXUGuhYJqbeFKQGKQPaJOPMsidXV1qBN86IyKcVKDazfR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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f756436b5c0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"resids = ara_edge[:,2] - spl(fake_x_a)\n",
"plt.plot(resids)\n",
"plt.ylim([-0.35,0.35])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## compile a plot"
]
},
{
"cell_type": "code",
"execution_count": 384,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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z0DrN9i5IWVePlYgwbxyC2fzMolErmC21RFk7WDWA73u9I8rT5j50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3AAAg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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7564330518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize = ([20/2.54, 15/2.54]), dpi=300)\n",
"\n",
"ax = fig.add_subplot(121)\n",
"ax.scatter(ara_swath[:,0], ara_swath[:,1],c=ara_swath[:,2], cmap = 'BrBG', vmin=0, vmax=10, edgecolors=None,lw=0)\n",
"ax.scatter(ara_edge[:,0], ara_edge[:,1],c=ara_edge[:,2], cmap = 'seismic', vmin=0, vmax=10, edgecolors=None,lw=0)\n",
"ax.set_aspect('equal')\n",
"ax.ticklabel_format( style='plain')\n",
"\n",
"ax1 = fig.add_subplot(222)\n",
"ax1.plot(fake_x_a, ara_edge[:,2], 'g', label='LiDAR elevations')\n",
"ax1.plot(fake_x_a, spl(fake_x_a), 'b', label='1D spline fit')\n",
"ax1.set_title('Swath edge strip elevations')\n",
"plt.legend()\n",
"ax1.get_legend()\n",
"ax1.ticklabel_format( style='sci', scilimits=(-2,5))\n",
"\n",
"ax2 = fig.add_subplot(224)\n",
"ax2.plot(fake_x_a, ara_edge[:,2] - spl(fake_x_a), 'b', label='Difference from spline fit')\n",
"ax2.set_title('Noise in swath edge elevations')\n",
"plt.legend()\n",
"plt.ylim([-0.35,0.35])\n",
"ax2.get_legend()\n",
"\n",
"plt.suptitle('Swath edge noise from ARA flight 9, using ARA glider')\n",
"\n",
"plt.savefig('ara2007.pdf', bbox_inches='tight')\n",
"plt.savefig('ara2007r.png', bbox_inches='tight')\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 385,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.073745393818150276"
]
},
"execution_count": 385,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rms_a = np.sqrt(np.mean(resids**2))\n",
"rms_a"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Now for Hobart data, 2012"
]
},
{
"cell_type": "code",
"execution_count": 386,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"hob_edge = np.genfromtxt('/media/adam/data/PhD/ch3_lidarplot/APPLS_2012/line4_edge.asc', delimiter=' ')\n",
"hob_full = np.genfromtxt('/media/adam/data/PhD/ch3_lidarplot/APPLS_2012/line4_subset.asc', delimiter=' ')"
]
},
{
"cell_type": "code",
"execution_count": 387,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"fake_x = np.array(range(len(hob_edge[:,2])))\n",
"spl = UnivariateSpline(fake_x, hob_edge[:,2], k=5, s=30)"
]
},
{
"cell_type": "code",
"execution_count": 388,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f7551583940>,\n",
" <matplotlib.lines.Line2D at 0x7f756360a7f0>]"
]
},
"execution_count": 388,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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KDVcXV6h21LRh9wjQQWxqLAA7zu+wfaAQTk4CuSg3avnVAjezWYZWzIO49uTr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\nQgghRGH+DzJZczHHBkkdAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7558db5dd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(fake_x, hob_edge[:,2], 'g', fake_x, spl(fake_x), 'b')"
]
},
{
"cell_type": "code",
"execution_count": 389,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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phEGtX6jTT7cLd+yx7nH36uV+jQvFYrrxE42Pz/t0yCHx80HUlhBh0A3AFABv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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7563430940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"resids_h = hob_edge[:,2] - spl(fake_x)\n",
"plt.plot(resids_h)\n",
"plt.ylim([-0.35,0.35])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 390,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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lERsbS1RUFBs3bjzuV6WGDh3K559/zsKFC3G5XBQVFZGZmRlgxXq44447mDx5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1PrOZngJ8mSqrC/+GJy+WKFVhUSU4wRyfoqmUZEuwx4BCXEXwAzUUv9PYZaWGAVak1tUFPCHjP2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\nnv8P+JAioF2RWJoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f755cad1fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize = ([20/2.54, 15/2.54]), dpi=300)\n",
"\n",
"ax = fig.add_subplot(121)\n",
"ax.scatter(hob_full[:,0], hob_full[:,1],c=hob_full[:,2], cmap = 'BrBG', vmin=0, vmax=10, edgecolors=None,lw=0)\n",
"ax.scatter(hob_edge[:,0], hob_edge[:,1],c=hob_edge[:,2], cmap = 'seismic', vmin=0, vmax=10, edgecolors=None,lw=0)\n",
"ax.set_aspect('equal')\n",
"ax.ticklabel_format( style='sci', scilimits=(-2,7))\n",
"\n",
"ax1 = fig.add_subplot(222)\n",
"ax1.plot(fake_x, hob_edge[:,2], 'g', label='lidar elevations')\n",
"ax1.plot(fake_x, spl(fake_x), 'b', label='1D spline fit')\n",
"ax1.set_title('Swath edge strip elevations')\n",
"plt.legend()\n",
"ax1.get_legend()\n",
"ax1.ticklabel_format( style='sci', scilimits=(-2,5))\n",
"\n",
"ax2 = fig.add_subplot(224)\n",
"ax2.plot(fake_x, resids_h, 'b', label='Difference from spline fit')\n",
"ax2.set_title('Noise in swath edge elevations')\n",
"plt.legend()\n",
"plt.ylim([-0.35,0.35])\n",
"ax2.get_legend()\n",
"\n",
"plt.suptitle('Swath edge noise using SES1-AFO with a post-processed trajectory')\n",
"\n",
"\n",
"plt.savefig('hob_pp_lidar.pdf', bbox_inches='tight')\n",
"plt.savefig('hob_pp_lidarr.png', bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": 391,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.073745393818150276"
]
},
"execution_count": 391,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rms_h = np.sqrt(np.mean(resids**2))\n",
"rms_h"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## and again, with a raw LiDAR strip (no trajectory post processing)"
]
},
{
"cell_type": "code",
"execution_count": 392,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"raw_edge = np.genfromtxt('/media/adam/data/PhD/ch3_lidarplot/APPLS_2012/rawlas_edge.asc', delimiter=' ')\n",
"raw_full = np.genfromtxt('/media/adam/data/PhD/ch3_lidarplot/APPLS_2012/rawlas_subset.asc', delimiter=' ')"
]
},
{
"cell_type": "code",
"execution_count": 393,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"fake_x_r = np.array(range(len(raw_edge[:,2])))\n",
"spl = UnivariateSpline(fake_x_r, raw_edge[:,2], k=5, s=30)"
]
},
{
"cell_type": "code",
"execution_count": 394,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f7564351160>,\n",
" <matplotlib.lines.Line2D at 0x7f756360ffd0>]"
]
},
"execution_count": 394,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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ngJNAPeAgcBPg/HvXPYVg72D+GvgX7kZ3YlNiXa4m74rBYCBrZJYE8XLI080T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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f75635e6240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(fake_x_r, raw_edge[:,2], 'g', fake_x_r, spl(fake_x_r), 'b')"
]
},
{
"cell_type": "code",
"execution_count": 395,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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ODGEwHMA0AK8BGKm550+161MAbB4hToIgCCIiocKgO4DLwATCEAAHAdhQumd3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\n2uTtFG1HBq641t1jj9W7Vjj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EAUEQBAESBgRBEARIGBAEQRAgYVBIsvI9UkYoLxiUDwmU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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7563adfdd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"resids_r = raw_edge[:,2] - spl(fake_x_r)\n",
"plt.plot(resids_r)\n",
"plt.ylim([-0.35,0.35])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 396,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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kfmWBKG1BEEqNb/d8y/M/nGMkt9MC/9nu2W5hDDazZvtkO/v8WVpUb1Fod6tJ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\nkwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7564a09160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize = ([20/2.54, 15/2.54]), dpi=300)\n",
"\n",
"ax = fig.add_subplot(121)\n",
"ax.scatter(raw_full[:,0], raw_full[:,1],c=raw_full[:,2], cmap = 'BrBG', vmin=0, vmax=10, edgecolors=None,lw=0)\n",
"ax.scatter(raw_edge[:,0], raw_edge[:,1],c=raw_edge[:,2], cmap = 'seismic', vmin=0, vmax=10, edgecolors=None,lw=0)\n",
"ax.set_aspect('equal')\n",
"ax.ticklabel_format( style='sci', scilimits=(-2,7))\n",
"\n",
"ax1 = fig.add_subplot(222)\n",
"ax1.plot(fake_x_r, raw_edge[:,2], 'g', label='raw lidar elevations')\n",
"ax1.plot(fake_x_r, spl(fake_x_r), 'b', label='1D spline fit')\n",
"\n",
"ax1.set_title('Swath edge strip elevations')\n",
"plt.legend()\n",
"ax1.get_legend()\n",
"ax1.ticklabel_format( style='sci', scilimits=(-2,5))\n",
"\n",
"ax2 = fig.add_subplot(224)\n",
"ax2.plot(fake_x_r, resids_r, 'b', label='Difference from spline fit')\n",
"ax2.set_title('Noise in swath edge elevations')\n",
"plt.legend()\n",
"plt.ylim([-0.35,0.35])\n",
"ax2.get_legend()\n",
"\n",
"plt.suptitle('Swath edge noise using SES1-AFO with a navigated trajectory')\n",
"\n",
"plt.savefig('hob_raw_lidar.pdf', bbox_inches='tight')\n",
"plt.savefig('hob_raw_lidarr.png', bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": 397,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.073745393818150276"
]
},
"execution_count": 397,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rms_raw = np.sqrt(np.mean(resids**2))\n",
"rms_raw"
]
},
{
"cell_type": "code",
"execution_count": 398,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"-5.0644039744293168e-15"
]
},
"execution_count": 398,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.mean(resids)"
]
},
{
"cell_type": "code",
"execution_count": 399,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"-0.0021777295206453218"
]
},
"execution_count": 399,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.median(resids)"
]
},
{
"cell_type": "code",
"execution_count": 400,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2105"
]
},
"execution_count": 400,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"this = set(raw_edge[:,0])\n",
"len(this)"
]
},
{
"cell_type": "code",
"execution_count": 401,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2400"
]
},
"execution_count": 401,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(raw_edge[:,1])\n"
]
},
{
"cell_type": "code",
"execution_count": 402,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"874"
]
},
"execution_count": 402,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"this = set(raw_edge[:,1])\n",
"len(this)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"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": "3.4.3"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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