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@RutgerK
Created May 27, 2013 09:40
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{
"metadata": {
"name": "plot_1on1_resolution"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": "import matplotlib.pyplot as plt\nimport urllib2\n\nimg = plt.imread(urllib2.urlopen('http://upload.wikimedia.org/wikipedia/en/thumb/5/56/Matplotlib_logo.svg/500px-Matplotlib_logo.svg.png'))",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": "# load the image\nimg = plt.imread(urllib2.urlopen('http://upload.wikimedia.org/wikipedia/en/thumb/5/56/Matplotlib_logo.svg/500px-Matplotlib_logo.svg.png'))\n\n# get the dimensions\nypixels, xpixels, bands = img.shape\n\n# get the size in inches\ndpi = 72.\nxinch = xpixels / dpi\nyinch = ypixels / dpi",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": "ypixels, xpixels, bands = img.shape\n\n# get the size in inches\ndpi = 72.\nxinch = xpixels / dpi\nyinch = ypixels / dpi\n\n# plot and save in the same size as the original\nfig = plt.figure(figsize=(xinch,yinch))\n\nax = plt.axes([0., 0., 1., 1.], frameon=False, xticks=[],yticks=[])\nax.imshow(img, interpolation='none')\n\nplt.savefig('mpl_logo.png', dpi=dpi, transparent=True)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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h05JEMBrP+1oimSaVlnL3UpbhZ3/ZOup4AVjYVD1MEDg+4EEhCqPGkh58NrPjkSSZ4/0u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\n"
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": "fig = plt.figure(figsize=(xinch,yinch/.8))\n\nax = plt.axes([0., 0., 1., .8], frameon=False, xticks=[],yticks=[])\nax.imshow(img, interpolation='none')\nax.set_title('Matplotlib is fun!', size=16, weight='bold')\n\nplt.savefig('mpl_with_title.png', dpi=dpi)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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vobZ7fEgkQizsKorb58fl9VOg18YE6ehKPjo5+QJB/MEQLq8fqSCltKDvZ1Uq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\n"
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": "Check results"
},
{
"cell_type": "code",
"collapsed": false,
"input": "img_copy = plt.imread('mpl_logo.png')\nimg_title = plt.imread('mpl_with_title.png')\n\nimg = img[1:-1,1:-1,:] # trim edge\nimg_copy = img_copy[1:-1,1:-1,:] # trim edge\nimg_title = img_title[23:-1,1:-1,:] # trim edge and added title",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": "# somehow its not identical, but close\nprint np.allclose(img,img_copy, atol=1e-08), np.allclose(img,img_title, atol=1e-08)\nprint np.allclose(img,img_copy, atol=1e-02), np.allclose(img,img_title, atol=1e-02)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "False False\nTrue True\n"
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": "diff_copy = img - img_copy\ndiff_title = img - img_title\n\nprint diff_copy.min(),diff_copy.max()\nprint diff_title.min(),diff_title.max()",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "-0.0039216 0.00784314\n-0.0039216 0.00784314\n"
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": "print diff_copy.argmin()",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "34084\n"
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": "print diff_copy.ravel()[34080:34088]",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "[ 0. 0. 0. 0. -0.0039216 -0.00392157\n -0.00392157 0. ]\n"
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": "fig, axs = plt.subplots(2,1, figsize=(17,6), subplot_kw={'frameon': True, 'xticks': [],'yticks': []})\n\naxs[0].imshow(diff_copy, interpolation='none', cmap=plt.cm.jet, vmin=-.001, vmax=.001)\naxs[1].imshow(diff_title, interpolation='none', cmap=plt.cm.jet, vmin=-.001, vmax=.001)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 10,
"text": "<matplotlib.image.AxesImage at 0x40b24f0>"
},
{
"output_type": "display_data",
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}
],
"prompt_number": 10
}
],
"metadata": {}
}
]
}
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