{ "metadata": { "name": "", "signature": "sha256:781dc0e21998415296c246c626cef7bcc0924a87ef9bdfbb2154595571ccce47" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "3D Rotation of a Point Cloud" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from IPython.html.widgets import interact\n", "from IPython.html import widgets\n", "import pandas as pd" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 200 }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "np.set_printoptions(suppress=True, precision=3) # to avoid 1e-17 expressions in rotation matrix" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 201 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Read Point Cloud Library File" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Following Scene was generated with [BlenSor](http://www.blensor.org/) and a [Point Cloud Library](http://pointclouds.org/) File (*.pcd) was exported.\n", "\n", "![Scene](Pointcloud00002.png)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pc = pd.read_csv('Pointcloud00002.pcd', names=['x','y','z','rgb'], skiprows=11, sep=' ')\n", "pc=pc[['x','y','z']]\n", "pc.head(3)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
xyz
0 14.718567 1.070656-12.857123
1 13.841802 0.494996-11.860050
2 12.500180-0.431674-10.255011
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 202, "text": [ " x y z\n", "0 14.718567 1.070656 -12.857123\n", "1 13.841802 0.494996 -11.860050\n", "2 12.500180 -0.431674 -10.255011" ] } ], "prompt_number": 202 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Quick Look" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "ax.scatter(pc.x.values, pc.y.values, pc.z.values)\n", "plt.xlabel('x');\n", "plt.ylabel('y');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAb4AAAEuCAYAAADx63eqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIBAIBAKBQCAQCAQCgUAgEAgEgqv4fyNiMmddPX38AAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 203 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Look's like it is in local sensor coordinate system. If we rotate the point cloud like the scanner was rotated, we might get the correct obstacle." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Now let's Rotate it" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Z-Y-X-Konvention" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def Rypr(y, p, r):\n", " '''\n", " Rotationsmatrix f\u00fcr y=yaw, p=pitch, r=roll in degrees\n", " '''\n", " # from Degree to Radians\n", " y = y*np.pi/180.0\n", " p = p*np.pi/180.0\n", " r = r*np.pi/180.0\n", " \n", " Rr = np.matrix([[1.0, 0.0, 0.0],[0.0, np.cos(r), -np.sin(r)],[0.0, np.sin(r), np.cos(r)]])\n", " Rp = np.matrix([[np.cos(p), 0.0, np.sin(p)],[0.0, 1.0, 0.0],[-np.sin(p), 0.0, np.cos(p)]])\n", " Ry = np.matrix([[np.cos(y), -np.sin(y), 0.0],[np.sin(y), np.cos(y), 0.0],[0.0, 0.0, 1.0]])\n", " \n", " return Ry*Rp*Rr" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 204 }, { "cell_type": "markdown", "metadata": {}, "source": [ "You need to download the IPython Notebook and run it locally, to enable interactivity" ] }, { "cell_type": "code", "collapsed": false, "input": [ "@interact\n", "def plotrot3Dpersp(gieren = widgets.FloatSliderWidget(min=-180.0, max=180.0, step=1.0, value=-120.0, description=\"\"), \\\n", " nicken = widgets.FloatSliderWidget(min=-180.0, max=180.0, step=1.0, value=0.0, description=\"\"), \\\n", " wanken = widgets.FloatSliderWidget(min=-180.0, max=180.0, step=1.0, value=60.0, description=\"\"), \\\n", " kippen = widgets.FloatSliderWidget(min=0.0, max=90.0, step=1.0, value=2.0, description=\"\"), \\\n", " rotieren = widgets.FloatSliderWidget(min=-180.0, max=180.0, step=1.0, value=100.0, description=\"\")):\n", " \n", " R = Rypr(gieren, nicken, wanken)\n", " print('%s' % R)\n", "\n", " x, y, z = R * np.array([pc.values]).T\n", " \n", " fig = plt.figure(figsize=(14,6))\n", " ax = Axes3D(fig)\n", " ax.scatter(x.tolist(), y.tolist(), z.tolist())\n", " ax.axis('equal')\n", " ax.set_zlim3d(-6.0, 1.0)\n", " plt.xlabel('x');\n", " plt.ylabel('y');\n", " plt.title('\\nG: %i, N: %i, W: %i' % (gieren, nicken, wanken))\n", " ax.view_init(kippen, rotieren)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[[-0.5 0.433 -0.75 ]\n", " [-0.866 -0.25 0.433]\n", " [ 0. 0.866 0.5 ]]\n" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAA/4AAAG+CAYAAAAqW9+IAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 205 }, { "cell_type": "code", "collapsed": false, "input": [ "print('Nice!')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Nice!\n" ] } ], "prompt_number": 206 } ], "metadata": {} } ] }