{ "metadata": { "name": "", "signature": "sha256:324b1cb0797e7decba04d1397cd7e0af9ef0a9b5d560d5e069ec7b92b7c868d9" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Basic Lucas-Kanade" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load the Takeo image from the data directory using the auto importer." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import numpy as np\n", "np.set_printoptions(linewidth=500, precision=3)\n", "\n", "import matplotlib.pyplot as plt\n", "import menpo.io as mio\n", "\n", "takeo = mio.import_builtin_asset('takeo.ppm')\n", "takeo.view()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 1, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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CQABbyGFBABwPooViJsLNeL/fz1CEHJcU8PJsNss4jLVaLSwtQcQTKMOgPT09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"text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Takeo image is grayscale, but still has three channels:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(takeo.n_channels)\n", "print(takeo.pixels.shape)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "3\n", "(225, 150, 3)\n" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "These are redundant. An easy way to remove them is to explicitly convert the image to greyscale" ] }, { "cell_type": "code", "collapsed": false, "input": [ "takeo = takeo.as_greyscale()\n", "print(takeo.n_channels)\n", "print(takeo.pixels.shape)\n", "takeo.view_new()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "1\n", "(225, 150, 1)\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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I6YHiWrR/qVRSq9UK0IJnTKfTMLGSJNH5+Xn4nGcTHEKzU1cEqlqtqlgsqtfrKZ/PB43P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\nMQzNsrQ+VvHfcXmhgP/qr/6qfuM3fkO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f6CqleX0sWS6XC8wRWpPzMD2KSD1daPkM7c13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\nAvFO6pnP58PxeyResSvA+fl5OK3BN8T3QNF0OtX+/n5gbbr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PW+lFF9SZ1BNgCDm4lz7N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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since Lucas-Kanade involves matching images between a template and an input, we begin by creating a template to match to. Therefore, we import a warping function and warp the original image to create a template. Create the warp involves defining a set of initial warp parameters, which we will attempt to recover using the Lucas-Kanade algorithm. The warp parameters are defined as the elements of the transform matrix that transforms from target to source. We honour the parameter layout specified in the Lucas-Kanade 20 years on paper:\n", "\\begin{pmatrix}\n", "p1 & p3 & p5\\\\\n", "p2 & p4 & p6\n", "\\end{pmatrix}\n", "\n", "where $p5$ and $p6$ are the translation parameters." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from menpo.transform import AlignmentAffine, Affine\n", "from menpo.image import BooleanImage\n", "\n", "target_params = np.array([0, 0.2, 0.1, 0, 70, 30])\n", "target_transform = Affine.identity(2).from_vector(target_params)\n", "# printing an affine transform tells us what it does\n", "print(target_transform)\n", "\n", "# make a blank (default filled with 0's) greyscale (default: 1 channel) image to guide the warp\n", "template = BooleanImage.blank((90, 90))\n", "\n", "target = takeo.warp_to(template, target_transform)\n", "target.view_new()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "[[ 1. 0.1 70. ]\n", " [ 0.2 1. 30. ]\n", " [ 0. 0. 1. ]]\n", "CCW Rotation of 136 degrees about [0 0 1]\n", "NonUniformScale by [ 1.151 0.851] \n", "CCW Rotation of 133 degrees about [0 0 1]\n", "Translate by [ 70. 30.] \n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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VWrFoaxxZp8bBwwOBRWOlc9l/xtRKrm5tbfWm4FpGuKVvbC91SkZYq+5aDIaO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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to perform the alignment, we seperate the algorithm from the similarity measure used. Therefore, we begin by creating a similarity measure which defines how we define the error between the two images. For this example, we use the most simple case, the LeastSquares pixels differences." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from menpo.fit.lucaskanade.residual import LSIntensity, ECC\n", "\n", "residual = LSIntensity()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, given an initial estimate, we can perform the alignment. We can either perform an inverse compositional alignment, or a forward additive. Lucas-Kanade is a gradient descent algorithm, and thus assumes a near global optimum initial parameterisaton. We therefore begin by initialising the image to roughly Takeo's face." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from menpo.shape import PointCloud\n", "\n", "# Create the identity 'box' -> representing the area\n", "# that the target image was warped into\n", "corners = target.shape\n", "identity_box = PointCloud(np.array([[0, 0],\n", " [corners[0], 0],\n", " [corners[0], corners[1]],\n", " [0, corners[1]]]))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "from menpo.fit.lucaskanade.image import ImageInverseCompositional, ImageForwardAdditive, ImageForwardCompositional\n", "from copy import deepcopy\n", "\n", "# Create the initial transform as an alignment transform\n", "# so that we can get more interesting fitting information,\n", "# since we then know the ground truth!\n", "initial_params = np.array([0, 0, 0, 0, 70.5, 30.5])\n", "inital_transform = Affine.identity(2).from_vector(initial_params)\n", "\n", "# This is the initial 'box' that we are warping into\n", "initial_box = inital_transform.apply(identity_box)\n", "inital_transform = AlignmentAffine(identity_box, initial_box)\n", "\n", "inv_comp = ImageInverseCompositional(target, residual, deepcopy(inital_transform))\n", "for_add = ImageForwardAdditive(target, residual, deepcopy(inital_transform))\n", "for_comp = ImageForwardCompositional(target, residual, deepcopy(inital_transform))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then perform the alignment, and show the resulting transforms." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "# Get Inverse Compositional optimum transform and plot\n", "inv_comp_fitting = inv_comp.fit(takeo, initial_params)\n", "inv_comp_res = takeo.warp_to(template, inv_comp_fitting.final_transform)\n", "plt.subplot(141)\n", "inv_comp_res.view()\n", "\n", "# Get Forward Compositional optimum transform and plot\n", "for_comp_fitting = for_comp.fit(takeo, initial_params)\n", "for_comp_res = takeo.warp_to(template, for_comp_fitting.final_transform)\n", "plt.subplot(142)\n", "for_comp_res.view()\n", "\n", "# Get Forward Additive optimum transform and plot\n", "for_add_fitting = for_add.fit(takeo, initial_params)\n", "for_add_res = takeo.warp_to(template, for_add_fitting.final_transform)\n", "plt.subplot(143)\n", "for_add_res.view()\n", "\n", "# Plot target image we were warping to\n", "plt.subplot(144)\n", "target.view()\n", "\n", "# Set Figure to be larger\n", "plt.gcf().set_size_inches(12.0, 5.0)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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wdh/fDIEckRGeimq1GkgX+fvxJPHieFnlzeA2vj4mMO6Rlptu4vHz+2PC5d74WWAMrCBv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\nd9pKpdI1O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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then compute the RMS point error between the original bounding box and the one proposed by our alignment algorithms. Usually, any error less than 3 pixels is considered a convergence." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Create the target 'box' that the target was warped into\n", "target_box = target_transform.apply(identity_box)\n", "\n", "# Setup the fitting objects so we can generate useful results\n", "inv_comp_fitting.error_type = 'rmse'\n", "inv_comp_fitting.gt_shape = target_box\n", "for_add_fitting.error_type = 'rmse'\n", "for_add_fitting.gt_shape = target_box\n", "for_comp_fitting.error_type = 'rmse'\n", "for_comp_fitting.gt_shape = target_box\n", "\n", "print('Inverse compositional RMS error: {0}'.format(inv_comp_fitting.final_error))\n", "print('Forward additive RMS error: {0}'.format(for_add_fitting.final_error))\n", "print('Forward compositional RMS error: {0}'.format(for_comp_fitting.final_error))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Inverse compositional RMS error: 1.55166232609e-05\n", "Forward additive RMS error: 1.47437246188e-05\n", "Forward compositional RMS error: 4.08764645057e-05\n" ] } ], "prompt_number": 9 } ], "metadata": {} } ] }