{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Supervised Tracking of Fiducial Markers in Magnetic Tweezer Measurements" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ ".. figure:: ../images/example_beadtracking.png\n", " :alt: Example bead tracking\n", "\n", " Left: the image of beads on cells loaded in ClickPoints. Right: displacement of beads.\n", "\n", "In the example, we show how the ClickPoints addon ``Track`` can be used to track objects in an image and how the resulting tracks can later on be used to calculate displacements. [Bonakdar2016]_\n", "\n", "The data we show in this example are measurements of a magnetic tweezer, which uses a magnetic field to apply forces on cells. The cell is additionally tagged with non magnetic beads, with are used as fiducial markers.\n", "\n", "The images can be opened with ClickPoints and every small bead (the fiducial markers) is marked with a marker of type tracks. Then the ``Track`` addon is started to finde the position of these beads in the subsequent images.\n", "\n", "The resulting tracks can now be accessed and evaluated with Python and the ClickPoints package. Therefore we first open the ClickPoints file:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "nbsphinx": "hidden" }, "outputs": [], "source": [ "import os\n", "from urllib.request import urlretrieve\n", "\n", "# load the database from the example repository and the first image as an example\n", "urls = [\"https://bitbucket.org/fabry_biophysics/clickpointsexamples/raw/tip/TweezerVideos/001/track.cdb\", \"https://bytebucket.org/fabry_biophysics/clickpointsexamples/raw/tip/TweezerVideos/001/frame0000.jpg\"]\n", "for url in urls:\n", " file = os.path.basename(url)\n", " if not os.path.exists(file):\n", " print(\"Downloading File\", file)\n", " urlretrieve(url, file)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "path track.cdb\n", "Open database with version 18\n" ] } ], "source": [ "%matplotlib inline\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# connect to ClickPoints database\n", "# database filename is supplied as command line argument when started from ClickPoints\n", "import clickpoints\n", "db = clickpoints.DataFile(\"track.cdb\")" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Then we get all the tracks with :py:meth:`~.DataFile.getTracks`. In this example without any filtering, as we just want all the tracks available. We can iterate ofer the received object and access the :py:class:`Track` objects. From them we can get the points and calculate their displacements with respect to their staring points." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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/ffMxo742SuRzw+J0IhyOIY3pZ+Pqs2YnrOUAUGSzcPVZs/sHRUV71U166aZr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\nBqIKerjCFhK0U8yCDxBFiKYfG5jJDLkKXYjiJUA/Icr4M+c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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# get all tracks\n", "tracks = db.getTracks()\n", "\n", "# iterate over all tracks\n", "for track in tracks:\n", " # get the points\n", " points = track.points\n", " # calculate the distance to the first point\n", " distance = np.linalg.norm(points[:, :] - points[0, :], axis=1)\n", " # plot the displacement\n", " plt.plot(track.frames, distance, \"-o\")\n", "\n", "# label the axes\n", "plt.xlabel(\"# frame\")\n", "plt.ylabel(\"displacement (pixel)\")" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "We can now use :py:meth:`~.DataFile.getImage` to get the first image of the sequence and load the data from this file. This can now be displayed with matplotlib. To draw the tracks, we itarate over the track list again and plot all the points, as well, as the starting point of the track for a visualisation of the tracks." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(400, 200)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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kEPsTqwBtPxqN1O12FY/HnRmbzWadf/veyR26I+3rgcJQf7qX0rOTvL6zdtlp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IyYn/ioNkxmowRSRDaCj/GH71rS858vvf3tZ5VOS8/4/Xdo/ew5ffz252ojl9bLpn09Vl/V+5XV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\nm7THahNlMWmTNmmP1f4/2iIjpk4WT1AAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# get the first image\n", "im_entry = db.getImage(0)\n", "\n", "# we load the pixel data from the Image database entry\n", "im_pixel = im_entry.data\n", "\n", "# plot the image\n", "plt.imshow(im_pixel, cmap=\"gray\")\n", "\n", "# iterate over all tracks\n", "for track in tracks:\n", " # get the points\n", " points = track.points\n", " # plot the beginning of the track\n", " cross, = plt.plot(points[0, 0], points[0, 1], '+', ms=14, mew=1)\n", " # plot the track with the same color\n", " plt.plot(points[:, 0], points[:, 1], lw=3, color=cross.get_color())\n", " # plot the track id with a little offset and the same color\n", " plt.text(points[0, 0]+5, points[0, 1]-5, \"#%d\" % track.id, color=cross.get_color(), fontsize=15)\n", "\n", "# zoom into the image\n", "plt.xlim(600, 800)\n", "plt.ylim(400, 200)" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ ".. rubric:: References\n", "\n", ".. [Bonakdar2016] Navid Bonakdar, Richard Gerum, Michael Kuhn, Marina Spörrer, Anna Lippert, Werner Schneider, Katerina E Aifantis, and Ben Fabry. Mechanical plasticity of cells. Nature Materials, 2016.\n", "\n", ".. bibliography:: refs.bib\n", " :style: alpha" ] } ], "metadata": { "celltoolbar": "Raw Cell Format", "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": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 1 }