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@alexlib
Created October 17, 2013 06:53
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Simplest example of the post-processing of the OpenPTV data structure after identification, correspondence and tracking procedures. The files are ASCII ptv_is.XXX files where XXX is the number of the frame (time instance) in which particles appeared. First column is the linking information to the previous time step and the second column is the l…
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{
"metadata": {
"name": "interactive_ptv_is_processing.ipynb"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import os\n",
"from glob import glob\n",
"import numpy as np\n",
"from matplotlib.mlab import csv2rec\n",
"from mpl_toolkits.mplot3d.axes3d import Axes3D"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"directory = '/Users/alex/Documents/PTV/test/res/'"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"list_ptv_is_files = glob(os.path.join(directory,'ptv_is.*'))\n",
"# print list_ptv_is_files"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# reading the ptv_is.* files\n",
"frames = []\n",
"for counter, ptv_is_file in enumerate(list_ptv_is_files):\n",
" frame = csv2rec(ptv_is_file,skiprows=1,delimiter=' ',names=['p','n','x','y','z'])\n",
" frame = rec_append_fields(frame,['t','id'],[np.zeros_like(frame.x)+counter,np.zeros_like(frame.x)-999],dtypes=[np.int,np.int])\n",
" frames.append(frame)\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# adding trajectory id = linking\n",
"id = 0\n",
"for i,f in enumerate(frames):\n",
" for j,l in enumerate(f):\n",
" if l.p == -1 and l.n != -2:\n",
" l.id = id\n",
" id += 1\n",
" elif l.p != -1:\n",
" l.id = frames[i-1].id[l.p]\n",
" \n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 22
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for i,f in enumerate(frames):\n",
" ind = f.id == -999\n",
" frames[i] = f[~ind]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 23
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"last_traj = max(frames[-1].id)\n",
"traj = [[] for k in range(last_traj+1)]\n",
"for f in frames:\n",
" for p in f:\n",
" traj[p.id].append(p)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = figure(figsize=(12,8))\n",
"ax = fig.add_subplot(1,1,1, projection='3d')\n",
"for t in traj:\n",
" x = [p.x for p in t]\n",
" y = [p.y for p in t]\n",
" z = [p.z for p in t]\n",
" ax.plot(x,y,z)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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TySQXIpVneDyPQwUad+fhwdtXScTWSuoCUKoR66ekLj82YGBUu07oHrUGiVXCVuwQqQye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\nYtVp14YVuFeigUjFAuviAdA+Ri2G/nqN79VXX8ULL7yA999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h7x+fz4dsNototCUNgvjB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jnGWuB5vlV6GGuLqlIFrN/vFxccxOOXNDGg82A3b96MWCxm1WE6FlesWgyLkVWSa5RMJuH1euH3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\nRC7rf7x12aq5wREvAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x90b9110>"
]
}
],
"prompt_number": 26
}
],
"metadata": {}
}
]
}
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