Skip to content

Instantly share code, notes, and snippets.

@jabooth
Created September 3, 2014 08:42
Show Gist options
  • Select an option

  • Save jabooth/8b96a5849712a0222e07 to your computer and use it in GitHub Desktop.

Select an option

Save jabooth/8b96a5849712a0222e07 to your computer and use it in GitHub Desktop.
Timings of PWA
Display the source blob
Display the rendered blob
Raw
{
"metadata": {
"name": "",
"signature": "sha256:1a09563139be0c56d18fc7aab777ca87cc9836bae392777d2bfa49f5421ad3ea"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Piecewise Affine Transforms"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import menpo\n",
"from menpo.transform.piecewiseaffine.base import PythonPWA, CachedPWA, CythonPWA\n",
"\n",
"b = menpo.io.import_builtin_asset('breakingbad.jpg')\n",
"b.crop_to_landmarks_proportion_inplace(0.1)\n",
"b.constrain_mask_to_landmarks()\n",
"points = b.mask.true_indices\n",
"src = b.landmarks['PTS'][None]\n",
"tgt = src.copy()\n",
"python_pwa = PythonPWA(src, tgt)\n",
"cached_pwa = CachedPWA(src, tgt)\n",
"cython_pwa = CythonPWA(src, tgt)\n",
"\n",
"%matplotlib inline\n",
"b.view()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 1,
"text": [
"<menpo.visualize.viewmatplotlib.MatplotlibImageViewer2d at 0x7f2bf3f46f10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAP8AAAEACAYAAAB8u6CyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIYQQQgghhNgr/gcSY7x9P7lW7wAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f2bf3f46fd0>"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%time x = python_pwa.apply(points)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"CPU times: user 364 ms, sys: 116 ms, total: 480 ms\n",
"Wall time: 479 ms\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%time x = cached_pwa.apply(points)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"CPU times: user 311 ms, sys: 146 ms, total: 457 ms\n",
"Wall time: 457 ms\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%time x = cython_pwa.apply(points)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"CPU times: user 149 ms, sys: 573 \u00b5s, total: 150 ms\n",
"Wall time: 149 ms\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%timeit python_pwa.apply(points)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"1 loops, best of 3: 453 ms per loop\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%timeit cached_pwa.apply(points)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"100 loops, best of 3: 12.7 ms per loop\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%timeit cython_pwa.apply(points)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"10 loops, best of 3: 22.3 ms per loop\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"np.all(cython_pwa.apply(points) == cached_pwa.apply(points))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
"True"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"np.all(python_pwa.apply(points) == cached_pwa.apply(points))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 9,
"text": [
"True"
]
}
],
"prompt_number": 9
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment