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Olivier Bertrand
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,

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"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
]
},
"metadata": {},
"output_type": "display_data"
}
],

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"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"from navipy.processing.mcode import optic_flow\n",
"from navipy.maths.coordinates import cartesian_to_spherical\n",

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"from navipy.moving.agent import posorient_columns\n",
"from navipy.moving.agent import velocities_columns\n",
"from navipy.scene import __spherical_indeces__"

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]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Optic Flow\n",
"\n",
"Optic flow is defined as the change of light in the image, e.g. on the retina or the camera’s sensor, due to a relative motion between the eye or camera and the scene.\n",
"\n",
"In this section we focus on calculating the optic flow from the animal or camera motion and the distance to surrounding objects. Note, that in applied task, the problem of interest is the opposite of our current focus, namely the problem is how to find the animal or camera motion and the distance to surrounding objects from an estimate of the optic flow obtained from a series of images.\n",
"\n",
"To avoid confusion between, we qualify the optic flow from known animal or camera motion and distance to surrounding objects as geometrical, and will call it geometrical optic flow or gOF. \n",
"\n",
"Koendering Van Dorn in their 1987 article 'Facts on optic flow' derive geometrical optic flow, and obtained the following equation\n",
"\n",
"$$ gOF_i = -\\mu_i(t-t. d_i)d_i)-R\\times d_i $$\n",
"\n",
"here \n",
"* $gOF_i$ is the geometrical optic flow in the $i-th$ viewing direction $d_i$. \n",
"* $t$ and $R$ are the translational and angular velocity, respectively. \n",
"* $\\mu_i$ is the nearness (inverse of the distance) to the closest object in the $i-th$ viewing direction\n",
"\n",
"The equation can be rewritten by using the \"apparent rotation\" due to the translation $A_i=\\mu_i di_i\\times t$, and become\n",
"\n",
"$$ gOF_i = -(A_i+R)\\times d_i $$\n",
"\n",
"The optic flow is thus the sum of apparent rotation due to the translation and the angular rotation projected to a plane orthogonal to the viewing direction. \n",
"\n",
"The eye is sometimes described as a spherical apparatus (espectially in insect research), here each viewing direction can be expressed in a spherical coordinate system. The gOF in a spherical system as three component, but the one along the viewing direction (i.e. the $\\rho$ of the coordinate system) equates zero, because the gOF is othogonal to that direction.\n",
"\n",
"In the remaining sections we will assume that the distance to close object have already been calculated (see renderering tutorials) and will only look at a single point along a trajectory at which the differences in x,y,z,and euler angles could be obtained. Furthermore we will use the yaw-pitch-roll (zyx) for the euler angles\n",
"\n"

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{
"cell_type": "code",
"execution_count": 2,

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"metadata": {},
"outputs": [],
"source": [
"convention='zyx'\n",
"tuples_posvel = posorient_columns(convention)\n",
"tuples_posvel.extend(velocities_columns(convention))\n",
"index_posvel = pd.MultiIndex.from_tuples(tuples_posvel,\n",
" names=['position',\n",
" 'orientation'])\n",
"velocity = pd.Series(index=index_posvel, data=0)\n",
"\n",
"# Define the eye\n",
"elevation = np.linspace(-np.pi/2,np.pi/2,11)\n",
"azimuth = np.linspace(-np.pi,np.pi,21)\n",

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"[ma,me]=np.meshgrid(azimuth,elevation)\n",
"imshape = me.shape\n",
"viewing_directions = np.zeros((ma.shape[0], ma.shape[1], 2))\n",
"viewing_directions[..., __spherical_indeces__['elevation']] = me\n",
"viewing_directions[..., __spherical_indeces__['azimuth']] = ma\n",
"# Useful for quiver plots\n",
"vdir_az = viewing_directions[..., __spherical_indeces__['azimuth']]\n",
"vdir_el = viewing_directions[..., __spherical_indeces__['elevation']]\n",
"# Create a scene\n",
"scene = np.random.rand(imshape[0],imshape[1])"

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},
{

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"metadata": {},
"source": [

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"\n",
"When the objects are at equidistances"

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]
},
{
"cell_type": "code",
"execution_count": 3,

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"metadata": {},
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Hh8PKyqrA/ebu7o7+/fujZ8+eqF+/PmbPnq3w9xAdQoE7hP3792cvAP369eO89/vvv6NP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\nhQ1ChmEYhmEYhmGYHMr/Ay3xPMM84i/1AAAAAElFTkSuQmCC\n",
"metadata": {},
"output_type": "display_data"
}
],

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committed
"source": [
"vel = velocity.copy() # to avoid overwright\n",
"vel.loc[('location','dx')]=np.random.randn()\n",
"vel.loc[('location','dy')]=np.random.randn()\n",
"sce = scene.copy() # to avoid overwright\n",
"sce = 0*sce + 10 # equidistant\n",
"# \n",
"el,az,_=cartesian_to_spherical(vel.loc[('location','dx')],\n",
" vel.loc[('location','dy')],\n",
" vel.loc[('location','dz')])\n",
"\n",
"plt.figure(figsize=(15,6))\n",
"rof, hof, vof= optic_flow(sce, viewing_directions, vel)\n",
"plt.quiver(vdir_az,vdir_el,hof,vof, label='optic flow')\n",
"plt.plot([az],[el],'ro', label='Focus of Expension')\n",
"plt.legend()\n",
"plt.xlabel('azimuth [rad]')\n",
"plt.ylabel('elevation [rad]');"

Olivier Bertrand
committed
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With one object closer than the rest"

Olivier Bertrand
committed
]
},
{
"cell_type": "code",
"execution_count": 4,

Olivier Bertrand
committed
"metadata": {},
"image/png": 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JRkaSElcBMSu+vqG0snqc7cjovy2BDg632KjRA/r4kDt3ksHBpAz1eP8z3Lt3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UvHr1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\n1D6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"metadata": {},
"output_type": "display_data"
}
],

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"source": [
"vel = velocity.copy() # to avoid overwright\n",
"vel.loc[('location','dx')]=1.0\n",
"vel.loc[('location','dy')]=1.0\n",
"sce = scene.copy() # to avoid overwright\n",
"sce = 0*sce + 10 # equidistant\n",
"azindeces = np.arange(7,10)\n",
"sce[:,azindeces,...]=5 # closer\n",
"# \n",
"el,az,_=cartesian_to_spherical(vel.loc[('location','dx')],\n",
" vel.loc[('location','dy')],\n",
" vel.loc[('location','dz')])\n",
"\n",
"plt.figure(figsize=(15,6))\n",
"rof, hof, vof= optic_flow(sce, viewing_directions, vel)\n",
"plt.quiver(vdir_az,vdir_el,hof,vof, label='optic flow',scale=5)\n",
"plt.quiver(vdir_az[:,azindeces],vdir_el[:,azindeces],\n",
" hof[:,azindeces],vof[:,azindeces], \n",
" color='b',\n",
" label='at the objects',scale=5)\n",
"plt.plot([az],[el],'ro', label='Focus of Expension')\n",
"plt.legend()\n",
"plt.xlabel('azimuth [rad]')\n",
"plt.ylabel('elevation [rad]');"

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]
},
{

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"metadata": {},
"source": [

Olivier Bertrand
committed
]
},
{
"cell_type": "code",
"execution_count": 5,

Olivier Bertrand
committed
"metadata": {},
"image/png": 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FRe7y9vYW2pWRkUF//vknTZ06lVxdXeWuAwcOCO3KzMykw4cP04wZM6hevXpy165du4R2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\nAAAAAElFTkSuQmCC\n",
"metadata": {},
"output_type": "display_data"
}
],

Olivier Bertrand
committed
"source": [
"vel = velocity.copy() # to avoid overwright\n",
"vel.loc[(convention,'dalpha_0')]=0.2\n",
"sce = scene.copy() # to avoid overwright\n",
"# \n",
"el,az,_=cartesian_to_spherical(vel.loc[('location','dx')],\n",
" vel.loc[('location','dy')],\n",
" vel.loc[('location','dz')])\n",
"\n",
"plt.figure(figsize=(15,6))\n",
"rof, hof, vof= optic_flow(sce, viewing_directions, vel)\n",
"plt.quiver(vdir_az,vdir_el,hof,vof, label='optic flow', scale=5)\n",
"plt.legend()\n",
"plt.xlabel('azimuth [rad]')\n",
"plt.ylabel('elevation [rad]');"

Olivier Bertrand
committed
]
},
{

Olivier Bertrand
committed
"metadata": {},
"source": [

Olivier Bertrand
committed
]
},
{
"cell_type": "code",
"execution_count": 6,

Olivier Bertrand
committed
"metadata": {},
"image/png": 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g4KA2XVlZWZwIhUaNGgkmzHv16tWcY6anp4d79+4l/nz69u0bisVihffdBQsWYEhIiEKt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\nAABJRU5ErkJggg==\n",
"metadata": {},
"output_type": "display_data"
}
],

Olivier Bertrand
committed
"source": [
"vel = velocity.copy() # to avoid overwright\n",
"vel.loc[(convention,'dalpha_1')]=0.2\n",
"sce = scene.copy() # to avoid overwright\n",
"# \n",
"el,az,_=cartesian_to_spherical(vel.loc[('location','dx')],\n",
" vel.loc[('location','dy')],\n",
" vel.loc[('location','dz')])\n",
"\n",
"plt.figure(figsize=(15,6))\n",
"rof, hof, vof= optic_flow(sce, viewing_directions, vel)\n",
"plt.quiver(vdir_az,vdir_el,hof,vof, label='optic flow', scale=5)\n",
"plt.legend()\n",
"plt.xlabel('azimuth [rad]')\n",
"plt.ylabel('elevation [rad]');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [

Olivier Bertrand
committed
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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iRZGYmCiKDgA4evQoPD09+eXHjx+jZs2aetdx48YNODo68vdoe3t7hISEwNzc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B5Hv/9ddfiIiYmpqKgYGB5YaXGhkZ4ahRo/Ds2bOVSppEEAQ+efIEAwICsGPHjlJ9noeHh0o+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\nAAAAAElFTkSuQmCC\n",
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"vel = velocity.copy() # to avoid overwright\n",
"vel.loc[(convention,'dalpha_2')]=0.2\n",
"sce = scene.copy() # to avoid overwright\n",
"# \n",
"el,az,_=cartesian_to_spherical(vel.loc[('location','dx')],\n",
" vel.loc[('location','dy')],\n",
" vel.loc[('location','dz')])\n",
"\n",
"plt.figure(figsize=(15,6))\n",
"rof, hof, vof= optic_flow(sce, viewing_directions, vel)\n",
"plt.quiver(vdir_az,vdir_el,hof,vof, label='optic flow', scale=5)\n",
"plt.legend()\n",
"plt.xlabel('azimuth [rad]')\n",
"plt.ylabel('elevation [rad]');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Optic flow of relevant points\n",
"\n",
"We consider N relevant points, named as follow"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"from navipy.trajectories import Trajectory\n",
"points_name = ['nest', '1', '2', '3', '4']\n",
"relevant_points = pd.Series(index=pd.MultiIndex.from_product([points_name,['x','y','z']]))\n",
"relevant_points.nest=[0,0,0] # [x,y,z] of the point\n",
"relevant_points['1']=[1,0,0]\n",
"relevant_points['2']=[-1,0,0]\n",
"relevant_points['3']=[0,1,0]\n",
"relevant_points['4']=[0,-1,0]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"and want to calculate the optic flow of these point along the following trajectory"
]
},
{
"cell_type": "code",
"metadata": {},
"outputs": [],
"source": [
"mytraj=Trajectory().read_hdf('../../../navipy/resources/sample_experiment/Doussot_2018a/bodybee05.hdf')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We convert the point from the world coordinate system to the bee coordinate system, and then express them in spherical coordinates, i.e. the coordinate system used in the optic_flow functions."
]
},
{
"cell_type": "code",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/bolirev/.virtualenv/toolbox-navigation/lib/python3.6/site-packages/navipy-0.1.1-py3.6.egg/navipy/trajectories/__init__.py:577: UserWarning: Prior to 12/09/2018:\n",
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"world2body was doing a reverse transformed\n",
"Please use body2world instead\n"
]
}
],
"source": [
"markers2bee = mytraj.world2body(relevant_points)\n",
"\n",
"from navipy.maths.coordinates import cartesian_to_spherical\n",
"from navipy.scene import spherical_indeces\n",
"tmp=markers2bee.swaplevel(axis=1)\n",
"el,az,radius=cartesian_to_spherical(tmp.x,\n",
" tmp.y,\n",
" tmp.z)\n",
"markers2bee_sh = pd.DataFrame(index=markers2bee.index,\n",
" columns=markers2bee.columns)\n",
"d = dict(zip(['x','y','z'], ['elevation','azimuth','radius']))\n",
"markers2bee_sh = markers2bee_sh.rename(columns=d, level=1)\n",
"markers2bee_sh = markers2bee_sh.swaplevel(axis=1)\n",
"markers2bee_sh.elevation=el\n",
"markers2bee_sh.azimuth=az\n",
"markers2bee_sh.radius=radius\n",
"markers2bee_sh = markers2bee_sh.swaplevel(axis=1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The optic flow not only need the trajectory, but also the differentiation of it, \n",
"and merge traj with its velocity because the optic flow depend also of the agent orientation"
]
},
{
"cell_type": "code",
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"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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" <th colspan=\"3\" halign=\"left\">zyx</th>\n",
" <th colspan=\"3\" halign=\"left\">location</th>\n",
" <th colspan=\"3\" halign=\"left\">zyx</th>\n",
" </tr>\n",
" <tr>\n",
" <th></th>\n",
" <th>x</th>\n",
" <th>y</th>\n",
" <th>z</th>\n",
" <th>alpha_0</th>\n",
" <th>alpha_1</th>\n",
" <th>alpha_2</th>\n",
" <th>dx</th>\n",
" <th>dy</th>\n",
" <th>dz</th>\n",
" <th>dalpha_0</th>\n",
" <th>dalpha_1</th>\n",
" <th>dalpha_2</th>\n",
" </tr>\n",
" <tr>\n",
" <th>0</th>\n",
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" <td>-0.029131</td>\n",
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" <td>0.097272</td>\n",
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],
"text/plain": [
" location zyx location \\\n",
" x y z alpha_0 alpha_1 alpha_2 dx \n",
"0 \n",
"1446 64.633030 12.514757 14.383999 0.738181 0.126137 0.167408 0.286749 \n",
"1447 64.781736 12.358705 14.548036 0.759602 -0.000240 0.158936 0.148706 \n",
"1448 64.908390 12.285283 14.674417 0.718028 0.099787 0.051479 0.126654 \n",
"1449 65.156870 12.207232 14.615128 0.720968 0.244536 0.256502 0.248480 \n",
"1450 65.322761 12.144090 14.666038 0.754467 0.097272 0.039248 0.165891 \n",
"\n",
" zyx \n",
" dy dz dalpha_0 dalpha_1 dalpha_2 \n",
"0 \n",
"1446 0.035240 -0.305388 -0.029131 0.119534 -0.010741 \n",
"1447 -0.156052 0.164037 0.021421 -0.126377 -0.008473 \n",
"1448 -0.073422 0.126382 -0.041574 0.100027 -0.107457 \n",
"1449 -0.078051 -0.059289 0.002941 0.144750 0.205023 \n",
"1450 -0.063142 0.050910 0.033498 -0.147265 -0.217254 "
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mytrajdiff = mytraj.differentiate(periods=1)\n",
"mytrajvel = mytraj.join(mytrajdiff)\n",
"mytrajvel.dropna().head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We loop through all time point in the velocity and calculate the optic flow of the selected\n",
"points."
]
},
{
"cell_type": "code",
"outputs": [],
"my_opticflow=pd.DataFrame(index=mytrajvel.index,\n",
" columns=pd.MultiIndex.from_product([points_name,['rof','hof','vof']]))\n",
"my_opticflow=my_opticflow.swaplevel(axis=1)\n",
"tmp = markers2bee_sh.swaplevel(axis=1)\n",
"for ii, velocity in mytrajvel.dropna().iterrows():\n",
" # get the elevation, azimuth of the seen point of interest\n",
" # and the distance to it\n",
" elevation = tmp.loc[ii,'elevation']\n",
" azimuth = tmp.loc[ii,'azimuth']\n",
" distance = tmp.loc[ii,'radius'].values\n",
" # Build viewing direction of all objects\n",
" viewing_dir = np.zeros((elevation.shape[0],2))\n",
" viewing_dir[...,spherical_indeces()['elevation']] = elevation\n",
" viewing_dir[...,spherical_indeces()['azimuth']] = azimuth\n",
" # Calculate the optic flow of these points\n",
" rof,hof,vof = optic_flow(distance,viewing_dir,velocity)\n",
" # save the results in df\n",
" my_opticflow.loc[ii,'rof']=rof\n",
" my_opticflow.loc[ii,'hof']=hof\n",
" my_opticflow.loc[ii,'vof']=vof\n",
"# swap level again, to index optic flow with point of interest\n",
"my_opticflow=my_opticflow.swaplevel(axis=1)"
]
},
{
"cell_type": "code",
"outputs": [
{
"data": {
"text/plain": [
"(0, 0.4)"
]
},
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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DqOxP2VZfTl7S0MUoHbmvLK7tMkGqaw4CqS9NGhOrvAoMke6ZXqqSIq2yq/IA909bTlV1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\n8Q+QCg4MT76/hi5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"text/plain": [
]
},
"metadata": {},
"output_type": "display_data"
}
],
"fig=plt.figure()\n",
"ax=fig.gca()\n",
"of_norm = my_opticflow.swaplevel(axis=1).hof**2+my_opticflow.swaplevel(axis=1).vof**2\n",
"of_norm = np.sqrt(of_norm.astype(float))\n",
"ax.plot(of_norm.nest)\n",
"ax.set_ylim([0,0.4])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [

Olivier Bertrand
committed
"## Optic flow from a database\n",
"\n",
"Database of rendered views along a trajectory can be created by using the tool `blendalongtraj`. Once the database has been created, optic flow can be obtain by using the difference in the position orientation and the distance to surrounding objects (The 'D' channel)."
]
},
{
"cell_type": "code",

Olivier Bertrand
committed
"metadata": {},
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"outputs": [
{
"data": {
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" <td>0</td>\n",
" <th>4.0</th>\n",
" <td>0.5</td>\n",
" <td>-0.5</td>\n",
" <td>3</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>3</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>-1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" location zyx location zyx \\\n",
" x y z alpha_0 alpha_1 alpha_2 dx dy dz dalpha_0 \n",
"frame_i \n",
"1.0 -0.25 -0.5 3 0 0 0 0.25 0 0 0 \n",
"2.0 0 -0.5 3 0 0 0 0.25 0 0 0 \n",
"3.0 0.25 -0.5 3 0 0 0 0.25 0 0 0 \n",
"4.0 0.5 -0.5 3 0 0 0 0.25 0 0 0 \n",
"5.0 -0.5 -0.25 3 0 0 0 -1 0.25 0 0 \n",
" \n",
" dalpha_1 dalpha_2 \n",
"frame_i \n",
"1.0 0 0 \n",
"2.0 0 0 \n",
"3.0 0 0 \n",
"4.0 0 0 \n",
"5.0 0 0 "
"metadata": {},
"output_type": "execute_result"
}
],

Olivier Bertrand
committed
"source": [
"import pkg_resources\n",
"from navipy.database import DataBase\n",

Olivier Bertrand
committed
"mydbfile = pkg_resources.resource_filename(\n",
" 'navipy', 'resources/database.db')\n",
"mydb = DataBase(mydbfile)\n",
"mytraj = Trajectory().from_dataframe(mydb.posorients)\n",

Olivier Bertrand
committed
"mytrajdiff = mytraj.differentiate(periods=1)\n",
"mytrajvel = mytraj.join(mytrajdiff)\n",
"mytrajvel.dropna().head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### without multiprocessing"
]
},
{
"cell_type": "code",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optic flow was calculated on 24 frame in 2.241192579269409s\n"
]
}
],
"source": [
"t_start = time.time()\n",

Olivier Bertrand
committed
"horizontal_of = np.zeros((mytrajvel.shape[0],*mydb.viewing_directions[...,0].shape))\n",
"vertical_of = horizontal_of.copy()\n",
"\n",
"for ii, (frame_i, velocity) in enumerate(mytrajvel.dropna().iterrows()):\n",
" scene = mydb.scene(velocity)\n",
" distance = scene[...,3,0]\n",
" # Calculate the optic flow of these points\n",
" _,hof,vof = optic_flow(distance,mydb.viewing_directions,velocity)\n",
" # save the results in df\n",
" horizontal_of[ii,...]=hof\n",
" vertical_of[ii,...]=vof\n",
" \n",
"t_elapse = time.time()-t_start\n",
"\n",
"print('Optic flow was calculated on {} frame in {}s'.format(mytrajvel.dropna().shape[0],\n",
" t_elapse))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### with mulitprocessing"
]
},
{
"cell_type": "code",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optic flow was calculated on 24 frame in 0.7222929000854492s\n"
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
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929
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932
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939
]
}
],
"source": [
"from multiprocessing import Pool\n",
"from functools import partial\n",
"\n",
"def calc_optic_flow(ii,dbfile,trajvel):\n",
" db = DataBase(dbfile)\n",
" velocity = trajvel.iloc[ii,:]\n",
" scene = db.scene(velocity)\n",
" distance = scene[...,3,0]\n",
" # Calculate the optic flow of these points\n",
" _,hof,vof = optic_flow(distance,db.viewing_directions,velocity)\n",
" return (ii, hof, vof)\n",
"\n",
"t_start = time.time()\n",
"\n",
"indeces = list(np.arange(mytrajvel.dropna().shape[0]))\n",
"with Pool() as p:\n",
" result = p.map(\n",
" partial(calc_optic_flow,\n",
" dbfile=mydbfile,\n",
" trajvel=mytrajvel.dropna()),\n",
" indeces)\n",
"# Place results in a usable array\n",
"nb_of = len(result)\n",
"size_of = result[0][1].shape\n",
"\n",
"horizontal_of = np.zeros((nb_of,*size_of))\n",
"vertical_of = horizontal_of.copy()\n",
"for flow in result:\n",
" ii = flow[0]\n",
" horizontal_of[ii,...]=flow[1]\n",
" vertical_of[ii,...]=flow[2]\n",
" \n",
"t_elapse = time.time()-t_start\n",
"\n",
"print('Optic flow was calculated on {} frame in {}s'.format(mytrajvel.dropna().shape[0],\n",
" t_elapse))"

Olivier Bertrand
committed
"metadata": {},
"source": [
"### misconception about rotational optic flow\n",
"\n",
"In the formulation of the optic flow the angular velocity $R$ of the animal is used. This velocity is a vector expressed in the animal coordinates system, and is **not** equal to the vector formed by the differentiation of the euler angles between two time points $t$ and $t-1$, i.e. $[yaw(t)-yaw(t-1),pitch(t)-pitch(t-1),roll(t)-roll(t-1)]$, because each euler angle is the rotation from one frame to the next frame, and only the final frame correspond to the coordinate system of the bee. It implies for the optic flow, that an arbitrary orientation, if droll is not zero, we can not expect the optic flow to be a rotation around the bee x-axis. \n",
"\n",
"### Calculating the translational and rotational optic flow\n",
"\n",
"It may be sometimes interesting to look at the optic flow field as the animal would have experience if it would not have rotated or translated. In other words it may be interesting to look at the translational and rotational optic flow instead of the full optic flow. \n",
"\n",
"In `navipy` you can calculate such optic flow by using `optic_flow_translational` and `optic_flow_rotational`."

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committed
]
}
],
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"display_name": "Python 3",
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"language_info": {
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",

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}
},
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