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@keflavich
Last active December 10, 2015 06:18
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ipython notebook displaying BGPS spatial filtering efforts
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{
"metadata": {
"name": "BGPSSpatialFilter-NoStars"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"# loading data\n",
"exppath = \"/Users/adam/work/bolocam/simulations/exp12_simple/\"\n",
"import pyfits\n",
"import numpy as np\n",
"import pylab as pl\n",
"infilename = 'exp12_ds2_astrosky_arrang45_atmotest_amp2.0E+02_sky00_seed00_peak001.00_smooth'\n",
"smoothfilename = 'exp12_ds2_astrosky_arrang45_atmotest_amp2.0E+02_sky00_seed00_peak001.00_smooth'\n",
"infile = exppath+infilename\n",
"smoothfile = exppath+smoothfilename\n",
"\n",
"inputmappath = infile+\"_inputmap.fits\"\n",
"inputmap = pyfits.getdata(inputmappath)\n",
"hdr = pyfits.getheader(inputmappath)\n",
"\n",
"map20 = pyfits.getdata(smoothfile+\"_map20.fits\")\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 31
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is a summary of my attempts to identify a filter function that can replicate the effect of the BGPS pipeline (code.google.com/p/bgpspipeline/)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# display the images\n",
"pl.figure()\n",
"pl.imshow(inputmap,vmin=-0.5,vmax=2)\n",
"pl.colorbar()\n",
"pl.title(\"Input simulated map\")\n",
" \n",
"pl.figure()\n",
"pl.imshow(map20,vmin=-0.5,vmax=2)\n",
"pl.title(\"Output pipeline-processed map\")\n",
"pl.colorbar()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 32,
"text": [
"<matplotlib.colorbar.Colorbar instance at 0x112362cf8>"
]
},
{
"output_type": "display_data",
"png": 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S0QPErltOymrCEIi30o/U2r3+NOhzYVvZSUNC4U0xccd9FvcVOfYTd+v1Ov/5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\npMN9HvFyEK1DJgFOCp5rwSvYyFs17atk2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},
{
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6d6m/PcU7Hfb2qskBqzgL/ur3bBDpmwS7+gP+YGI0luyDTu0q+AOIfiA6uDUA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\nNb84mZRBEDT4X7frKEiqg9t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Mr+W4/j/N75qLCkjsi2qEJ7sLHtp3OvF1GxCcPK5fymWo\nQBiI2D6d8GQv2kaKgkQUlpEpiLMeXgNOeNalrFHz0XSkHi4DpklK3QicMfjvllmOsD+Z9an5yyht\nWo7pdRoEH8xqYMdFNezz/gDfYlkPO5bj8B+JxXZkYLeBZeEDI/OzDek22g94YCBHi+XAaMZq+BdX\nJ2Qu2CQ9OfifgB2wrlml5lnAkDJzj0SG/j5lXXEnbw3CfjKdqC4D0W8FTx7XsqljuZSh/rOIkzYr\nZWWdNOqLVJOaYOiCnIKvmqxRKS8i+eG03fXbKYCQgUQQBnIXwDWyrAyQJqoybwVYBWrXEoD8Vqbo\nskwNLGn73IVHQZ3plyJ8nROwAQxtZxqW1eVgH6hK87Ua1udHPzYZsbpW6DusQuHrAFg/+z0NC7gE\nUQTP01yP/JsRzS3Y/3JgIEeLpc2b4Z0ImC2BGXw1gP8OHvUTDzZ3ckIqEwLC5rAOJg6MOKzZWiN5\ndCUnUJApKBC62ys4ODW/u03D9TvlJA1NLZ10ChQEg6yTTvWkxKUugpXuRSR4VCH8giFdKFgf26dA\nxPTUk6BFUZM4CCxFE+9hV/bz2LP+sPydOvloqfr/uO2DgAWpT4FHAUr7WIE+Antt6xHWG/KbLLMa\nlkVy/yfPs55h8H1/6aDvqqUuwO4sIDDGpIw47FsGy4NyeK0IcBnJn5Z8fVD0oQcF23a0T6ra8InR\nn5EocJsDYH6wrgfwS4RNPF5omhvFzEM1eXQwkm2IjyQ/8XRSaiTQNRmzUjbBRZmNyxBdgKROCacs\nZTQuICpQFquHuvF4PWyEG7AMIQr77hEyOAW8nPNRHyLLJ2PSYAZg+1XYV7a+E1BdFg5gUF+yHAV8\nZZnF2J+a9ExP3572o16/uJSZQ9gXqJHaEfCjqqyPZi/gBxVY71rYAEW9lJOEfSjvavhvKywHcHlQ\nB1lgf/jjWhl3f+kDguFI+Nu72A+r4ANiH/jXsCr4DQA3wY6nTLBntk9Q3/pWfuZfU9L2yNEq0mZB\nEPQ3NvDAiakMbRX8gcnjdBJzNY1LgZzg64PvYSi8MyHmpCXrU/YRg73LBLBvM4sivBLrZFUGqr5K\nTrw6hP1qbLP6HZk+Lh9IPUDY3IOcZ9+4OnERiElaIMx81Dzn4sDATRThCa91qolNX1RyN1BVZm89\nVL1j8lsXE7ZFrwHrZP28FoPgjwkFfzJKSP4l8KOlagpD2sHgRg2A/74TuGhm4ROAqM8l8J/OQh2o\nG88vDto/JvjP68bF7mkAkxB+FmAN7DjpA3/M1iP8elEu5Fk5noEFV17XZFDPRsD8GSVJqwVB7iox\n7UUHdhCkzaPA3gB/M6fXAz7g1cEfcP8G4HrYlUbNpix88yIKy344WJQl0eTjRKXTXJmIOt8JPu4E\nVADk5HcZKXUrhz9IWX+NlKcsRIUTgmy3XMrkt8vCALs1oxI455yF2IwUXv3BSD/92iBNpfRhTvK5\nTIvtUCDkeV0U3LKCtpWlPsTu6i/414UmMM8TdAnM9Qg/wUbLjcpHFwKX+Wqfq7Wg5nk1wkEs6qF+\nOAU8lsG2Uvd6+GBXDuB8WFeFArq6FLKwi4aO2ST8/qFpTJaqVkBd8Okf5EmJrgTHGgBLtwFjKoDl\nmwAc45cxKCi7vgbG6KplpdUA8Lclpp3eDoCFlXoeMMhYQADC2xDWwr+YFDXTOIlSKFwtCWBqcnBg\n6mClqDmmE0QBS8GQoiZyzvnPcmneKBNzJ6j77eqgDKkO4Qd6ckKlAPMrD3MDwDvUXI4f3nqLD8LV\nTnqd9BrAUUZKgNDFgIuMugoCnTskPkKn+A50jDTgvZquwOqy8MNcCSIEfl6/atjtHfVSrrLkJCxT\npa+PQgAiA8wFZaYQXuTUBGa7lwe/T5N0kPpTsPtKeUzdMlpvQsrV66kWQ5/gmxZKDey4q4JllTH4\nAMZrNgxI3Pc26v7Yy2eTa2GvKZD3S+/N+0FaDQCbvqPNpp18YANgm1ny6rz1TkfI0Ws2+Dvcze+D\nW+Q2wu7JopnK1VGd9zp5NSJItghYFgjYQae+L4JZeZHjQGGPqWlJc1cBhk53Fyw1KqmgTNDT6C7B\nQNkRJ0k5sP21GOD5jXoZwy3gcFK6Zq2yIGVyjGqqKZ+V+mgqJpDfArKn7jB8EDsMZX0+BDaWhRcZ\nddoT5AiAvAbsZ/UZUuh+kIhnCJDYB2TxY2FZdx/Yd0ZrcCkH32SldVCNsO+Q5XGcrEVwP+9coHwu\ncCVsoIPmLFleEnbxWw3f15gKylgPYBx88F0CILMNmFRhF5b+QVmVyPtuO9z0Ed45szdW/s8QjPz6\nGv/92UmUzL72q7T7AFtQabAKedNh90kRqPrDruQbYR97TlOSE0W3NxBwOJlysKusOrCB/PtWAYQB\ngflcs5dROjUXgbCPKSNpVdTXpewJTp2Q82yHmkUaVCCjou4p4Lhvr8LaB04EIoB3lLFPD9ZIca5I\nneHxf50AACAASURBVOoXZT0Kmi4j08BQVvIyDetVVsZy1A/IhULNQw1YwGmjmt8uU2V+ugkg5Sio\najCLgKnWg7aFrhXA7jGNStoYrAnPcaL6Z6TschQuQExLsKyXdBn4Yz8B3PaTadjmLcDcHwHeVwxw\nF8JjLCk6xEvb/tJqDPAPJab9ZjsDbFTMb/33npoHgq0vNBXUJ0Uwo0nJQZKEv1oCdsAOAr5/6rV4\nEmdgw61D/PQ18B3Z5bAbSTmQ1TdYbELk5HwMwLQssCRqwY5MhoOYZZJB0p9JwGHbADuJ1HxnGgI/\nI7ycUNSRLLgGwCrg9cQIeAON3ThbDzvJWKf7TSGLUjO5SurSYEVWPgqarn+U4EPmR/BUfyzN35zz\nm33hLjzqqwz0OefmhXhk5vn+OboJCLS60Dw9F5gwN2wWZyVNBsDq3QD+0/8/bW44KKJ9xvGTQDhN\nDRBbsh2Z2BvAsDE++7sLvivnXPiBudWwW2uWSDvXbwOiFX6eYAG87idX4buv3wNj7gEAGAA4EweO\ntDPAFlSqQZDJsJON0cNqABsNUOlZPwwnDk2pOCzT6ON/Tb79bozwLsS/XgZ4P9gF3FNmQYZMgfkh\nZboBAUgaMigFQh7nZNKop7IVBb56OZ8rUoayFGUiOac8jRJDztHsJ/NVfxWBTBkvEDbzlQHTFFaw\n1oAFj6mpy/ZwUcg6eZShxxBmfhrJzTjpIvLb9eGyPtbFtkP6SNtFfYbBXxTJvLSvY7B78miWVjvt\nJWhfBH+xYCRX28BgxUiEmTPbSvDciPBdJ0lYlp+RPGSObAP7MJBS/YCtxgCfLDHtGWEG2NxrMe+/\n/3787Gc/AwD069cPP/rRj9C/f38AQCqVwhe+8AV07NgRZWVlpT1suTn92hwAj/f3LnmDYVfVOtgt\nAgnYAEAN/EHpmjSBr+2Daz6HX0T8hyveZv6O7acf7ZejTCsi+XSSAeFJAye9mp5qUlLfnPOBlMVj\namIC4Uiy+ub4KZc61c+pgKRuARcQCAa6WkeknIQcYznsZwXLmOTXgAXbxWuh7ErdCe5/lzVSb7Yf\nsIDp9iHPQdKThVdLHdqn9U561Zt+YG2j+pOp/yBYkM1JHvZbGpbxM0hH4bXoExxfKf3EMUF/MeCD\nKhAOPtXDZ5ABEO/ri9FbDQCfKTHtqWEAfOGFFxCLxXDBBRcUBcA///nPOPbYY3H44YdjwYIFuP32\n27Fq1SoAQM+ePbFmzRp06dKlRfqrtD2RjfpmcOhxQsHx/LaBBCzzIeNS8zMAzrs6XgTgdsztCsxb\nc7SNCCZsdXmW4E5KDniahI6OBVtkKJyw9C26pqCaey6Lcc1RrvAZyatmNSdNuZRHFqBbRNg29dup\nXmyHMhoFUOrOY7rVxAVVZV5qMhIkgPA2nyzCz3PUstlujbyrjjn4gY71cl4XEV0YNsK6VHRBou7U\nd9WbAJ4Hxl0aZpq8LquDOnPwb5NLwW5xGQdMHn033sSxeH36CLtYc5zGEN4DmIa9y0StCYI0z6Vg\n91PKNTx8eR3qP6+DuQ3FnSMlyqhRo1BdXd3o+RNPtM/0OvPMM/Hv//7vofOtzdfanAECgNcZ/kUe\nBDvxGBjhhErC33EfBZDdBsQqgMxmAD3tbv1xsHeNcIBXIexHq3bOA5b50RziAFbzMFnkOFf7rHyr\n34sTk/44lqWgpexOXQBZ+BOBznGX0bgBgqyUyd/UkXUzH32ISelfLSsueTOSPyv/XQCrRhg8yLCU\nMav/DFJOHQqf+MN2U7JSli5EXATr4AOIXlfW4YIgdYX0BVBoEWh/6zUb66ebc6V91NufzWL871Vn\n220sLIN6qtXBPiuHf815HZKw114XMY4NXqM6OVcOP8pcA38eJADzKBqVVmOAK0tMO7IQtKqrq3HW\nWWcVZYAq1113HWpra3HrrbcCAHr16oVOnTqhQ4cO+O53v4uZM2fuk/4qbc4AvZNgzQX647h6Loa/\n8ZR+k2kIzI2KYLNxRXhC1MAyxjopR9mBax4pw1BnP88xwEKGAoTNLHXwM6+7NcdlcGrCAXYSA9YU\nqpN0rsmppr/+V/+entO6KGp2qkkOhCO2asK6Zhv/a9BF26xmfbFvsk2NVrN+ba8CCgFB+5TARUCJ\nwt8CMwxhHyjLSgV9vBh2wzHrzkh6sv4owsDGcyLbUFEYRVf9aBavR9htoIEmBTa9xgrgej4dlBcD\nMBYl781rFWkEOZa/6n9aKsuWLcPChQvxpz/9KX/sxRdfRLdu3bBhwwacccYZ6NOnD0aNGtWietoc\nAM0ywOsE/4IOCo79OdgHaIIHIqyGP2CC84gjeET+odZRzInIScWBD/gAtl4qZYSWLBOwIMSJRf+O\nAqaazAoSNG8AC4hqUnMSqX4c2CquKchjOkFdUFO/FstT5uSCInV2WZG6BNhHagKria1tr0f4xT1J\nhBllzPlP/ZUVq25RhBeIqFMWFzumpduAdfDcCNh+UzOZelbB3l8L2O1Y7gJSBwtkVbAAVA2MMKPx\n9fjzeLj+bLw+b4SvSzXsQq6R/WiQnwyOFgWDPnRtkG0mYbfa6OJJJsjfbHuV70/PW1HV/svF9ps0\nghxjTvA/lHl37X3R69atw3e+8x089dRTiMftStOtWzcAQN++fTFx4kS8/PLLBz8AeqfAH6xAfg+U\n/4Tod+H1PcK/uP2DcysRvrGeF5+mazFGFoPdCK15OPh08rgmoJodykqUhQB2kCrLIJhwpdcosrIl\nNTGjkkdNOfXXEeQUKIuZwi5IAtbUY11ZOe/63QjoOSc9+0aZEn16GjlW8HR9kKqjskv1IWqbCGpa\nVsTJk3Py6DkFokoURsvp4nDZNRDWIQEL+DHg9FOWA8cDmAILSAnYxVPZGhc+Xvsa2P2QHGd1KHwa\nDJlhuZS/OjiXQt6dYF7Apyv7CTn+8Y9/4JxzzsHChQtRWVmZP75z5040NDSgU6dO2L59O5588knM\nnz+/xfW1uQ/Q6wmYzYDnwfry1m4DTqvwWVsl7MCmaRuF3RuYhn34JAfZoOD4yOA/WR0ZCwFGByjT\nqW9IJ4MyDwVC9RMBoa0JKAcwAhg39Pe4GjfhDlyMB+bNCOuv6RUk0gizUIJ6Wn4zQhhx8iuoFgOK\nnJSrwMd2q7AcNfnIZgkkNbDPdExKXWRsymgJogow6lqgPtRJAZL6kWHxvC5A6ubgfyDczwq8yiKp\nt/ofCfxPwx9POUmv/cVgG8sehvCixGu9CvYpPQRdMsAo/LtUlsp/ls0yuIjlgvr+G3ZusA8BmE0o\nKq3mA2zmZUz5tAPCPkB9LWZFRUXBazEvuugiPProozj66KMBIL/d5e2338Y3v/lNAMARRxyB8847\nDxdffHGL2gEcCAB4CnygGwS7D6oa9k4QwJ9YynQy8AGPg0InTRZ2w3MVrM8HCN8Fon4o178EFDIJ\n16HPAaqmHcsT0Oh/xSv4y5gTMPd5YO4wwLvE2CcFa/lumdyeQZBiuTTJqJNGpRUAWbb7rUACyaeg\nonopYGkQiGXVIbz4qD4xp0z1cyo4wulflkGQUl9auZSpgJ51viF5dREgKA4L/q+FXUjZF+rioG4x\n2IdcZOFfv2r44ywB6+5gu5JBXo5Rtl911vFM0T7TdIF0+OVH2JO4EVgy139YCOsoB9AfMDeiSWk1\nANxQYtq+B/adIG33MIRhxt//NwpAFki88jbqftPLfyYgJ0AfAP9dA1ybtJE715SgicPjZCrqe2Ja\nrtCumayg4LJCrvTlCK/orolL4SodDOLYJduxY3NXzB0AzH0M8F4zvj41ksc1Y3UCu8EMOsrJlggK\nBE6aVcqAFKS1PiA8EfWcm1bBX32nadg9cFoeULiHkX3nlsd+1P2Eava75jrbynQa+Xb7Lg1/AayT\nPCOBX58zBZe9eyt23/QF2wZaB8yrLJQR9PXwx2IO1sIA7PhLwWfD40QPZZf1sIuzHovA3r+tvtOE\n1EdhWwNfJPoj/ApOWbDd94S0GgC+XWLaXu0AWFipMsAX4d9gTuEgjcJnhf2D30/DNw84ULlq18E+\nXdedIICdeEChSaTmFM8rW9DVWH2ACixxFJgfBefHAL2+/Abefr2fv5WH+iv4uCCloMcyeVwDKTTX\nFGBoJqsJqea6sl+WCYT1gJNPI7GahgynTv6rv9Bl0kChr1D9o270lGVSd5qATMPrzsWxHOHHYCn4\nBqDaYdpH2F5Rjhm4G4/dMdkHLDJsrZcscDWsn5r9q0yf15uR6BTC+z9Pg3/rG9taDbtdi7/Tcp51\nu9fLbXs1rORKexhqqwHgP0pMe3Q7ABZWyochnIUwWAB2YtK/VQk7MOnvI0gyqqrgUA375BRlanDq\n0cmurIcMwDVVNCKsgKHmkoIk66PjnPoRnKgzxQUXLUNNOW2TghP7Kytp6uV/XMrPSZmQfMUYnstw\ntZ9YrgK6MmuNJEcQ7mdtM31YbJP6v5T9UVfqyzL0vJrZOfhWRJXoEOicuOJt1D3Yywe3DOx9uqxD\ny6DedEssgs/w1OxWt0QE1r8XQ9h6UVAjs+QWGbZZdw1EpGyyx2D87Evgo9UAcGuJaY9qB8DCSt2N\n0EcCl2//GX41+P8rfIw9t78kYf15afiDWn0yKVjfYAT2pTT0z1BcU8pdaSH1A4UDVyc0V+QEwo7s\nehROfNZLv6YCjmsesg94jMAZRRhAdFLrhOOEJFMhO1HTlwuImtZkJeUIm9UEcAqZMyRNRj7UTVmj\nimv+kvnRBOSCQrOTASEXBAm4bAPBmCBeLXpA+o7toRuCfab9of2aBvD0JgBf8B9hlZP0SdhtQLrI\npBAG8XL4+w5TsDsBmIcMOhaUp2OWZXP81/hbx/ZVWg0A/1+Jabu2A2BhpWoCn+7vV/KOh50AWeDs\nJx7AYxMnh53jgDUtRsKPqNH/UQ97J4CaYUkUmsbuh5NRo5GcOGpOcrKqny8qv5U9ahnqmCc46TnW\nqcxHmStEB4i+kDxqcjEtJ1W9pNVv1VP9adpnEYS37bC9rJfXjOXWSXnuwqJ9p0EGDWIpe1Qzlu0i\nsLuBFi1f26W+QLZFI/ZsBxfPJCz4q2uBzJYLnLJdF4wJwDlYC0AXOy1TAzBsg1x78wRaVVoLAPe8\nW1raDke0A2BhpQqAfCl6BvZJvJXB76XwB0Ql7Lta4/AHzFrYG9Q5gMlEqmFXUw5SnYwaSXRNQ524\nnFg0UyBlJBAOQijT4IBnXdSRE9A16VRcP6CmU0bBY2oOK9CmJU1GzkXkv4IL3Q5phN8BomW5IMX+\nUzBT047/Fbj5TXavDBBSHgGdDFSvobYHKLyWOclHYNegTT0sq3RdKBHYa5tCmGGqWyAt/3lO2SVF\n+8s9xr5yWSzT6LgDgPLSXn7elLQWAO7+oLS0ZYcf2ABYzED51ORLeB3IHWdNtIVPARNO95ncWhSa\nEKfBbmrmSsmJsxw+K1RGsB524uiqrj69uKRxgwKuWUdxfVkZpxzXL6VmHU0qigKTgoH6l9QnpcDM\nYwqInJjKhlzAcH2FyuC0rDqEfXJq4rv1xuScmtmuT49t1IkOhKPABJZE8D9VpD/UX0mQYxvYR2Sa\n9MMBltHXwbJVmpdp2L2m/GZ+llclequbQ0Faf1PU0lCwTqPwXcnKTNknMV8f7xTpn+yn+BY4Rxra\nFDlaT9q0GW/hOHi54Ha4wQCePt3f28QB/isDXOL5THAuLJCQJdTBN4Oz8MFPnNz5yDAd9kk5r/4w\nZX1kDGqWUooFUPhbJ6aCossK1SzTCcH8LNP1D7oTXwMDGYRBpwbhzcdRpzwgDHr6nwBG8Ew4bWca\nZXzu4qB9oG2NSD5eEwIXzxNwErCmYzX8RU99ktrHEH1ZNst0QVNZZxrh7SNqMSgQq/9QwdUFNwJa\nQvID4XHi9pMGjDhe+X8t7MMwuFilkLcqPpWXnzchn3z+cyWm3LVf9WiptN0+wNOMZVcRYPErp2LC\nX5/xH3hwPdBr9Bt4+6V+wEL4A6o/cPK3l+CPM88Cvgp4nxj7+KA62InrTg7Xl8MJoD5BBRP1IboA\n6ZppOvF0UuScb04kRk5dH55ONqYjs1FGADlPfRX0yWroEgDCD2uNSJmQYy6TcdsF2MlKduoyOiAM\ncDrhXR8qrxNNbvZL0v/d98xXcQ4exv/iVLz84mhrCmp0mn64iNTFa6dWgAaRqhHeD8iydEFRcKeP\nM+7kYX+pLnr9lSkC4T5mufFGzrG/+FGWrUGTCOwDHcYhPO7L4UeqEyi4Y6O1TOD3zCElpe3ifXxA\nm8Bt7gMEAO9EhBkR2d1YWBaRBszhHub6T8ZBxvwEP//NNfY1jGQMadiHVkLKVT8hQYRmq04SZW4c\npMqwOGDpLOfEAMKTjt+uHioEE2UTZDrKvmShyOuVkzIIWPWwIMjJSp+XMjw1f+m/5IdtpV7lznEu\nJgr27nH9HXXq4+RPiI7sh9P8PHP62MdMVZvbsOClS8NvuIshvFhp/2YkHX2RGdh7b9OwbgI1u912\nIygjicK7OnLy7TJ/10fJfo/A35KzUY5x/LkWCfOyzbyOCPJshG/xrBW9ADsON/oPEikmrQWA202s\n+YQAjvQyBzQAtrklPwV3ArmZYVMpA/tIqGr471SoAuYutPmq0NtO0DTslhgOOo1qApa1uGwBCDMB\ngjDBDwgzCmU+CtjKDrhKE3CAQoc9JxvkPJmR6qgOe+0f9hf1Y3qtR9vFSUpd3YgpEG6j6qaTWP2y\nCn6QNDyWdY4ri8w5ZQQMtsuYWqh8GW/ZSCmBp9zpN2XqCgYENgUjZbCqq7oK3ECY/i93ymTdMeeY\ntp96VknbI/A3V9PXzfa54Moy4rAPcEgGvwnMPE6r4VzAOwb5xW9/4E8OHVu/0DaQNmeA+XeC1CFs\nIpJlcXL1BzBsN6754hx8jEPx80eu8dMS+NYjPJG5WrvmhTJCrsLqm6O4QOQCmAZVivm9XF+iMiZl\nUPqtrEBBSwFIJyUQNq3rYScDWWAxs03NbgUhmsD6zf5x/V9KALRPI5IPklcXIDJnIGzGD/Lz/Xno\nIIwY+TpeWdkfJ/xtHbDa8xfCSliTWcV1ObBsZbsZ+SbYUM+sfGedc7weOjZYl/Yt+531KqPjGKHe\nGlgh+OZgXwOh+lIf1wXBCDZgwa/O/23+jEaltRhgjTmipLRJ790DmgG27Z0gpyDsN0nB+mii8G9Y\nT8D3c0xAOFjBrQh18u2yOv7WCc6BqMDiOuMh+VxgpG4JFLIhFdZfzHxWv46yrricd4MEcNK57IKT\nhv4y/lbwVpahoKFskWxTWZ2mV3BW3x+BzWWdkSJ52U7Wr4CT8nXv0P8j7Kk5zG/DWlgAoH+Uou3T\nuhX8tY/oL1Yd3QVHAV2viTJ3F1hppqrvVV0CWdgxo1t9CHxrEb42BFS2hWNGI9JAmM1Xw7o7VsI3\nk9cD5n3bXa0FgH83XUtK+0Xv/x3QANihLSs3z8J/0fNT8MGuDmGWsh5+BDgJn+nRd8SBzAkNhP0z\nOvA4yNSP5k4aHVxq/qk/RtkPRVkMRdkVz7nsUEHKXelZrvrwlH3Fi5SnrNFlaQq2MfkoSNShEETo\nT9S2KUt021iDwne1FGMyymZ0AaO7oNr/3rP2ML/MKtgN3pR6KYuAQMCnj0/1yCHs+2MbNJCifUwp\nZhUAhQye10kXGgXNLMLAqW4M+voIjEnYF3/lYAGbC3yQz9wcfO6U72f9bTHmBd/sNS+Ewa81pQEd\nS/q4MmPGDFRUVGDAgAGNlj179mwMHDgQI0aMwMaNG/PHV6xYgSFDhmDgwIG45ZbWCYNHmk+yn2Uj\n4M1EmC0Q5BL++fykXwv7xOF6WJNBBxMZl66cLE/NiURQv7v6KyA2ZgID4cBHDHbQq19NTUwXhKNO\necpE1acH2FuhXLOZOtQ4dbA8ZTPaNvWj5aSMKGxASU1DtskFWurimtTaX5D2KMjWOPmWwL/WY2FN\nzwz8XQCnwYLaCNhFTsFV/WaUOimHANmYKesyvJHwWVTGyaPMdTH8B3Rov6o5zbbnEA42sZwa+Av8\nRZK+StKlYTf7r5Z6YsF+wAz8OZBp+QbpvZVPUOo2mLBMnz4ds2bNwgUXXFD0/JNPPonXX38d69at\nw0svvYRp06Zh1apVaGhowIwZM7B06VJ0794dxx9/PMaOHYu+ffu2pBltD4DmBcCbDn+Cr0fYOV8F\nO6F4sWtgtV4dfMdgHcJkEjSTueK62xs4EDk5gEKTVFmBMhjmo0+mmNOaYJaTdPzWyCxQHNiK+blc\nUFW2yrxusKRO0rnbcKifAkBK6uO3gmkM4UkM+e32gbuYMA1ZD83LCHzW00fykc1NEN110dLFQU1S\n1cn17yp40WSPBfWuctqy3EkP2Bds8dgI2PuJOe40yKHX1x1LUfhj9lzYp9ewnBrYPX90CfVBeGFc\nCh+kA3PeOwuWSa7eP4EPlYZ9hI7m3gr3+OOPY+rUqQCA4cOHo76+HnV1ddi8eTMqKyuRSqUAAJMm\nTcJjjz3WYgBs0gTOZrMYPnw4Bg0ahBEjRuDmm28GAOzYsQMTJkzAwIEDMXHiRGQy1k6aP38+Bg4c\niCFDhmDlypXNKuCdBP/CrUeYwbh+I8CaQsqIOKCqYV9SzQFGk5H5yxG+dUuZSh18BlKN8AuVOPkz\n8u0yCU58MgB3S0X/oO5BsDe7u2Ck5ShbJbjH5VPutMX1byrgsh/IUNgGZUoES7aN56kPwYjfmhdO\n2o2wJiFNt3onTxz+hNZrwz53LQHqrowqinDb1Genbgu9Juxftpd6Pw3rXmFfpor0RRb2ieVkb1pu\nvZyLym9lvf0Rfn8K+7Ie/mKehn23MRd69nkcPkizL8ch5A82T/h7/swr+x/8gH03gZuT2tpa9OjR\nI/8/mUyitrYWW7duLXq8pdIkjEejUSxbtgyHHnooPvnkEwwdOhTjxo3DnXfeia985StYvHgxbrjh\nBlx77bW4/vrr8eabb+Luu+/GmjVrUFtbi7Fjx+Ktt95Chw6N46xZBnjzYCeOOsg5OIDwY6ROgx0w\nnDTq90siPInpY9IJoNsWONkY2QUsK1LzzwUqSH49rn63KID1QIfrP8KCiqn4LabhuR+Ms2Y4mUNj\nvieaizTj1bekgObuF+OkVNPeNVMVPJLBdwrFGQsZK01K9iPbSEk5eXURoZuArFT1LrZtxDU9FXy1\nTTyfcfKqzzeF8PPzqNdYKSMN3+wd4RxjGYAP3AQkLsjqblGmDCmHQbs+omt/hN/vkZNPGvadH7yu\ng6S+SNOvv9zf0hi4rV7+EdYs39misj/NoEmzPPbQQw8FAGQyGTQ0/P/svX+UZGV17/0trNE2FthC\nwxSx1UY6b9qXYTIQ0EFBG4MGiOBMFCMJCEJIooY36PVnEuOM4gK9chXwGjUgTkBAYwwgEV0h2k7Q\nIMK9o4wykb7YSgM12mALJbeFGur945xvP59n1+mZnqGHHl3zrFWrqs55zvN7f/d37/2cc7boKU95\niq677jp9/etflySddtppGh0d1fnnn69rr71WJ598spYsWaKhoSENDw/rlltu0cqVK+csv/Z6FQth\nhQofX0P5Tfk2Z6W04K9RvgXBZuWwEmBIOQi6txQqC4iUm0hkHY5s2kfm6wwYBF9G6yw0/UX/tjzc\n0JqadJT+WbfN3Kefv7rZ+1QT+otoojUq8knJTGY/+1COwcpMYgJtjmPSj3wzOE52SOA3aPkamtQc\nUwamyObdfo8BQRXMZvaYE/2P7ZCHfjizN7djPPRrRslt4mMNFT49+pS5Bgx6HlMCY0P5uDIowrxk\n7JNKc2vG11SKxLuNHUlHSt3H/wqMBUtz7QNcMbqXVozuNfv/E2unKvPNlZ75zGfq7rvvnv0/OTmp\nwcFBPfroo9nxu+++W4ODg1VFbFfaZhT4scce0+/8zu9o6dKletOb3qRnP/vZ2rx5s5YuXSpJWrp0\nqTZv3ixJuvfee7NGzYum9knd/6ZikR2j9L4MO+ptSknJ7KCjf1rpMUZOBgObwF6IMepK04mCRdNt\nQomt0QQl6ER/GdswJWmDdPYBH9CQpDV/Jf18rJnMqSjQ9XCtPzHQY6Ay6A5WlCccM3DSxyklBULG\nRjZmlmYwdj/ZDuE4gXMy5JcKhkUQNHDMVHycqJjqOE+A8VgYSDinZIsxUMFoO9eHy7arYUBJGbCP\nfUrPHZyWdOOjaRxp4pPpelw3qmCAm5TW/LiKgJDbbiAdK8hC7XmF26h2shY1bVF9Xp/tTSeeeKL+\n8R//UZJ08803q7+/X0uXLtVhhx2mO++8UxMTE3rkkUf02c9+VieeeOLj7sc2W7jHHnvoO9/5jiYm\nJnT88cfrRS96UXa+VqsV9/bOkeY6t2bNmuLHV6XaK0el40cLx7O3Aswo3U9JgbNJICVfoBcyGZ17\nZ5NvUvn+MZp/FFwChpT7mdwWmtNSDspkJI10/KPvf7s0+f/p9WN90keVm4AEzgjKPh4VKRmF2Y77\nwfYaLGI0033lGBCoaLo6P8GTLDm6Fnx9BNKm0n2rAzhOpkUTPs4P56ij3jb3KX+CuJk7A2BCOU5e\nG9Gc9hgYFKlceP0w6jl2STrOPljhun8OvnTU6+JYptzqGVfymdqPXJdqZ6sA0IG5nxs4NjamsbGx\n6pOPI+2If0/K3wr3rGc9q+etcMcff7zWr1+vgw8+WE972tN02WWXSZLq9bo+9alPafXq1ep0Ojrr\nrLMedwBE2s6N0G9961s1ODioj3/84xobG1Oz2dR9992no48+Wps2bdL5558vSXrnO98pSTr22GO1\ndu1aveAFL8gr5Z0gby72MdUuUAqEDKswh20OrFDaLyalF0sTOCgEDC54cVOzEyAoHCzLEdR22R6z\ngCo2QUZgUHGecaX3mhCIzI6k/Gk1jfCxcz2aa5HJGWxtPnqszCzMciyoUaDpkJdy8JJ6t9eQXbn8\nASW/Zl05c7eP1aY22VG/0jYP93Gl0n2zNkHpJrBCjIyNboop5aawv8l4rexc9walB+7GYBJNjQ1n\n7gAAIABJREFUeTJGjpHz0KS3K8JrranioR9XY3w8/i57SIU8mNk3le88KNu/vU+FWaiN0F/tHjGv\nvC+t/eev7kboqakpTU8Xq/j+++/XDTfcoIMPPlgnnnii1q1bJ0lat26dVq1aJamgr1dffbUeeeQR\n/fCHP9Sdd96p5z//+XOWL0laWT4M4fNKfho73L2IDBb2Fy1TEjYL1hC+D8PxEaWoqc0SCh/Z5IxS\nJLitFK20CUg/m4GGpiMFxe2VikjjBuWMglt06hW/OQ7RoW5zzIJFU9z1uwyarzSVB5VHxPtQpo/z\nE83oTsjrY2PqZWwblIByAn2bVHrcFedjRkXE0wBjcIgujGg6MzWkJR95MP33nPvbv+0icfuGlMDP\nye11vpYSeE5Luv7+XhZs4L5Jif1eX34u6RZ7/24ux+aazam/ZM7DKvJ1JF2xJgVzhso8H12jWm2N\nFiN19KR5fXb1tFUGePvtt+u0007Tli1b1Gw29ZrXvEZnnnmmHnroIZ166qm66667dOCBB+ryyy9X\no1FI0oUXXqhLLrlE9XpdF110kY466qjeSuPTYN6m5OuYVmJsTtH3RKZFzexkE4YmkhcwGVt0Usff\nNPUi0/Rvbn8ggLmuTUp76+jr87eFxcJYr/iQBbkt9P8J385Pk9n/zVqEMjxWMchBM7EejtvVQDZG\n90NUBGay0bynu8JlVM0xTWv23UDB+ukWmVKutMhcOV5C/xg44RzQTUIFxvw2z+kXtRIia7dCdns8\nNy6nXyno1g7XYcx35HH5C8UAb+iOzivvcbWxXZoBLvrDECSptlq5j86T7G8pX6jU4mQfNH8ozFP4\nHyOBwrWsV0qBDwtNVSTUC5z+MILruHJwNmuwQLh8m440oQnKTeUCSfOLwY2G8rYK/xlQYnvZ7qoA\nAxUGQSsCPoGxP9TltnI8hXrMsmiaU8F5bXBMONYEuljeVBg/t4/+OZq1VYkKgUqazJPryWNl1wDb\nV1eu0CZCXoOhAdx9tuVjcKRi7i9cSdtKCwWA13d/b155X1H7910aAOvbzrJzU+2EQpPVjlISVCcv\nKAq1wYaAEfNzsTFqx3wzFccILtT6ZCyRUZIdORF8qiKnUmJ1NCv7UQad/wxSkInyOJkk2QrBOI6X\ngSP2N45JrNvgQV9iWykq3FLO0J0I1FZkHg+yPAKIGR19lTQVmd/l8rtPyWzkPBE8BtU7h1ExuI1u\nr32LZLqul2soKrOO8qc/T+AcFT5dEnZjDJTHVyptmjYIt6TaAWX+UUl/IXV/Wzst7WgQZFdLiw6A\n6pRvhKPJofK7pfSgUwsdNT7BwAwksjAuTpbdV5GnE/IYKCMYESxjXaxP6m0zmU3071WxLqlaGFkf\nx43AWDUe7leVSU+gr4pqx/bRHLfpxj7GAFM0J8n44jwRFJzY92h6xjLiPNAUlfI9mHQBVK2BOL9U\nzBz/uFbYVoL/hHIW31SvknN7hWNDoU62Z1qF77KtgiGeI9VaSlHkzsLeIfKr4N+bT1p8AKwXt+/U\nHFSyr8gT28rzZn4hKS0wbpytAiKyNiazFmpb11VXuhOA7HAus6fKBPJ3P84R/OiLYt1VoFDFUsj+\n6A5gOf5NZsptM0I+tpN9cjLrsyBS4Jk3gm4cd4VjBCECrPMZWBtKDHMSfSajJ5CYKTZxnOOg8N99\n4xqjf9DzP6L8Kc2uN5r2Uj42VBRSiu76XIwqe7xtylOpzUjdy7Qo6RE9ZXEqXuC0+ADoxGijF/uU\ncgZgEyCapx3lTxehYNrnJvWCQ13p0fYWAgqDFypBMJpYLJdlRwe+z1UBuAV9CnkIlNsCFwZ4murd\nf+f2EtQooARitrWjYgvSxtBO95HtJxBzTKLC8DnOj/tNlwXHiH1u4xr6+zoqmNUI6qBSGUI/5hoL\nAw6DS8znj1SwKvfRFgrnn2DYr7wvBtlJJWbn61iHAyV1zT6JunnZXWrV/l1PnzlBPx9tqva8sqyr\nu3rOgf+lidkB2Lnp18UE3jWCICerV6ClBIT2F3n7x6CSJrWAtcM1XnAMXNCnRXOMoEdBt6Cy7mgO\ntZRHFqOZVw/nLPgUwnrFdYx6xqgqt4IwT1Qi7pv9c9HXx7rpO4zKIDJnbvmR8nYZzMiYo2IgkEYf\nZGSl9ZCfDMjtZj1miIOhvo7ylxVNKgctoTyCME1j17tRxRYVK1cGOVwOx9bzYqCkQiiBbbbtUno4\nw4QKf94G5UDpOq4v2zGgZCl5XZTj0v0PZWmhgiCf7r5mXnlPr31udxBkXonOdLdqAOekBHp2jDMK\n6vPCbwKhBSk6pKtMNDMAss3IwGYqrnXZVYBYV289kRV4DGIUlH0zGzCodXBdVd/IwKpYCOuScl+U\nx8JCS9YdV04E8xjpjaYlo6/RRGQb6afjXPq7qt8GMbJMBxyEcx5zuh6mQ1nCObfT4NoXro354pzT\nD+j+2LogSxwpr7H/eziMh+fCZM/gNy1179ATknb0cVi7WlrUXtSOUmJW0fQyGEppEfnYmkd1x3N+\nSx/Wm/XJdX+V7hJxGV7gUYtHLS3kZ10EPZuVUTC9GKeVC7Uju1UMK5qN0e9FoKoC0o6qhcjl9SsJ\njZSzLwIhgcVjH+9WoNvAABLnw6nKRKSw+hqCYGR+ZOMsP7I/ggvNQzNVpwY+bqOTwZD7GON88RpK\niRUPGbqUPwLN64X9NSv1eFipmL21ca3LZZsI9BznCan7Qz3h6dfFBF5UAOz+h1Q7VepeXu4FNFhJ\nOUjYydyWNCzd8pxDdXXtRzpD5+jW7u/qf114ZB4ljpE7Mktqf5pHUWtH9uUyJ5WDBMseUtq71Qjl\nRiZHtshAjM0koR02sWiOdSrKpJnbKNuzQsWdKAS8FUqmO4Mn9KkJ+d3fBs6TdfnaaL7GdjpvW4VZ\ntxL/60pmqSOXZjgEgWlc43ExKyNAO0UAJvNz2cuUfMjsWxV7tyltcCUYO6JLZWdrZVLFpvim0lo6\nUukOkCPLazYqmeqO7ErJ/L2+16xdjLQbABcqWTiGlMBlOpyjk31Geq/+TqfrNXrBj6X/9V9H5lqc\nLIHMJLKhaOpF3xsXvpQWemSDZgN9yqOSBC6Cq3C9zR+CRGQ/bs8A8pGZuG/0/XSU9onxFq4ZFcLe\nwn8DiyOM/k0BJ4AL10QWWAXy/GY6DHk9LvRD2gwkw+rHf97CZlPSLLZVXu/xowuDjNtgOIF20RVD\nM57uiajEonVAIHabBpQUm9s+hny3qpABbw0aLo9PlNduKPMOl4+Q85xvkLrpKVFPWNoNgAuVvFhs\nBkwqLSqbx1JiCEPS9deepIe7X9QpP3+h9FUVoDSidMdHS8XimFIOOmRl0bSKwMLreC0ZqpQWMwHX\nvssWzjOyGxlqJ5RHpkKgbofjTAyIKOSfkPRWSR9XGt8jVQiVx5q34ZmlWMAJNjMo12Pletk3KR+X\nKhM6skXnIbBFwPtbSecrBVv+VAVbuhnt9q1kVh5t5fNk18OxKtgxWaUVKK0EKgK3hWDMPvh3VBIT\nSoGTlgo2yH5tLOt+dVFf903F6do3ir52X6ldKv3y12QbzOK+FnNfFeYYNf2Ekh9kSL0+sKZ6936R\n9U0rvwdUygWPbFLqZYH0s0XWI+QT2kXTOwpFlQkVGZJ9b65zQAn8+WEgwP12nwneVcDq+qI/kduM\neD37GuuM5fq6GMiI7JosnLfEEZjIFqlMqsbQSm5Qib1Hxl0VsGFdDeUMuhOuq9qIXQ/fbL+vr/rQ\nJ+h2REXr9eN2WYnbMhpWAZ7B3939muaVFioK/MHu2fPK+/baxT31rV+/Xuecc87sY63OPjsv60Mf\n+pA+85nPSJI6nY7uuOMOTU1Nqb+/X0NDQ9prr730pCc9SUuWLNEtt9zy+PqyS2yDOUn5Y4s84dbo\nNIW5eKSkQQeVvww8BhfIdAhMXvjxlqwqwHKaUAHcDh5IiRUNKml3H2OgRGgXGZKUwN3lsu9N5a+v\n9BhY8OzTi/2tq2A6N4YxOEzJrOJWEvrK3GazO88Rg0YEbptvcwFhDDRxDuiuiCDk+t1n12+2Z9Y6\nqPRwUgIgfbKs33PLbVfO677FzeXuD5Up54FzxvGeVFJqkyj/SOUvZBpRvvmfbfL8xLmSZl0k23pM\n/kIB4Hndc+aV9121j2T1bdmyRb/927+dvd3tqquumvPZftdff70+8pGP6MYbb5QkHXDAAbrtttu0\n9957P64+OC2+CezkBdUu3mw/GxQZUG4GUvsSQMbL4xRAso7I1GLUuR7yReF0eVL+iCz7/yzc3hcm\nnIvO8sgcWL7zk+UaXMgcCSq8Q8CCSPPyCuWANq5knkcAmmscOO5V7gIej3NUBR4RqNknls/ymOpK\nd+74u6O0ry6Cw1zsPzJag23se2RokbmxnQRxr0GvCSntY+0oPSZNZT6vY7e1lX6/69/+Tued/N6i\nzGFl71WeLwNcqLSjt8Ldcsst2/V2tyuvvFInn5w//nohOduuAYAU7Eb5zlMuYOaLmo8LjaxpLrPE\nAuNFbr9hR72Mg7464ZyQhxE/A5VT3IJBoWfbYx8NmDQJKYTsO/vpY9ymQTbnNjLYwD7HNhKIyXQj\nONGU9pgK/90O9tGATrB02VR47l+cU7fZClJKz+lzGf34HbeteKOxgZMs3eMfx83955xx/DgvDJr4\nOpfLsZTyu1qc3J4RzTLc8056b3IL2BoYLs7VTlK6RXDTzt8as6P7AKve+vatb32rMu/DDz+sr3zl\nK/rYxz42e6xWq+mlL32p9thjD73xjW/UWWedtUPtcFp0AKwdXt4LfJJy4eeO+SomweNSbj7RmU4H\nu+/oaIQyvOi5YJ14vApEq0zSDq6NW0d49wGFmqAyhd/8pvnnttPUc176mXxsJuShScn/TARIAh9B\nnGWQCZHdeSwi03IdTNzGQ38ex4JzEv208cN5ivk9F84zFwuV8r53cP1cbDEmAjDngce4VtxvA904\nyrfS7lMyrTneI6UF1S9pUOq+r6I9jzPNFQWeGPuRfjT24zmv29rrM2L64he/qCOPPFL9/f2zx77x\njW9o//331x133KHjjz9eIyMjlc8cnW9adADMGICFpEoDR5ND4TuyhJlwvKqnXIBeQDRbYl1kh7Ec\ntjM64rcmHGQ5rpfA72/3jZFK9kG4bi72sjXzNgZvYj8jeEX26rYRDAkWbhf7FMeE5UWQZ3sYoIhM\ncUbJlxqvodtDSuuMifNNMHe+dsjPwEYH39FN4OsNclWWB5UZI/5ce2ybPxNKYD/1xOwTnAsAnzX6\nXD1r9Lmz/9evzRsT3/q2tbe7XX311T3m7/777y9Jet7znqfVq1frlltu+dUFwNrBKkzeE9RrkjHF\nBeBjUlpYPMdFTUGgpneqI189HK/S5K6bgh79RJGx1MN1CuejDy4ClfPNBf7sp/1N7Bf7YeCIZXMc\nDWbOzzEjQLNcK4yofCIYE+jdPgK82YwTASICpEEjRtA5F7y1jQAcx0Uhn8ciAmRUHB53nrcLIq7N\nuC5dRpVLw31w+1vKdwa4vHL/Y/ff9ISmX+rJO3Qd3+72m7/5m/rsZz+rq666qiffz3/+c61fv15X\nXnnl7LGHH35YW7Zs0Z577qmf/vSn+tKXvqSLLrpoh/sgLTIAdm8vbofrfhGRYLdoUsU2GDvrrTlt\nGnORkOFYsGxu1pU2oTIgER3VEXDoR2soBwQy1T7l7WiHMnzvsoWJPsIoYBZmR1Ppw3LdEfjdbm+X\nIGPi7NJfSZPLdbqspvK7RAjKZp9uj9vqMW6hHI4D6yAr5bhHf2s0y33OY+/5dIS1iXK8XthXb+5u\nK72kyqBtNkY/Ktl0lfkbTV8f83G6cFgmWV+MMJNBew5LVjfr67QPcAPKnpFq+yutzU0Pq9v9De3M\ntKM+wLne7vaJT3xCUvFmOEm65ppr9Pu///t66lOfOnvt5s2btXr1aknSPvvsoze/+c16+ctf/rj6\nsWtsg1mtpO0GilB+7TilbTAUHrsDounj39F0HVB+e1KjIk89lBcZk89HU8w+Pgc/+pXuS46mlpQL\nFb8j27Svj+abv6N57jZReKNpS7OToE0GaOZFB3tkxNyqNBPK8B0P/jgvx4xBlcjoqtjztJI5K+Vz\nEa/3f/t57T+rYnHeZ2mQnkafCbwd5U9ZYTLoc2wjKDrw4WRlHlnfFPJLaT7pN2ZbrQCsKPvmb/Yu\n1DaYs7sfnFfei2tv3/00mG0m+vw6JRuUeoVc6nXa0/dnpmXho/M7BiSkXgGKx6t8XjTJzEiYh+VZ\neMw+mMcMk+yBJqMXt9sRBd7HeasbWVsV2zNjI5s2WEQ2SDbp9kezm+0hozaAu/+un9FnlxP9bAxe\ncQtUNHcje3JwqwTxI/7gq7r9Fwer/el9U8TXCpVzTYCmYqmH476OQTSa7tEcppJ0f/pxnVm76+tX\neitiS2nT85fRRxICg6YkrSgfLDKkYn9nR+r+N+3UtPtWuAVKtZcpv8+VDEXKNSu3nERwoukg5ZrX\n2rPKj1Z1nPV2wu8oHFJuUpOJ0gdEc9LH/NtsZEApAjxY0SYnmsRSEqTIjjhWUSk0lMxdC2Y05zkO\n/E12WsXCnXgboG8fq2KmVQEGziWv8X/Wwz7Vpbf/wVr9SW2Nll8p7Xn6T9T+6L69oEfQdX2xDql3\n+0wn/I8KzHNN0GYf6uF6j5ldIwbxFSpM+0Elpln6+zJ5cD0DxUNFnqi0+5H4C5U6Uveq8i33Bg1r\nODMWqZj0SeVv06KQmP3xvlVrZSmxIl7LRStcFxdzQzmbcXnOQ21M08XmNtkF2dcK6VV/coWu+MWp\nOuNpl+qqtWcUC34KdUT/UpV53qe0p40g4/Ywbycch+sh84XR/9bA8elQTgQ9gopBj9fUw6eqHIJO\nFWC6HLJFA3C/9GT9Ul+QNPR66eEf/Ubu+qAvloqL7Se4Betklkl7/FpKStuM2kplJpQRrQWvC/os\n3Z5JSeOFn3xXTLufB7hQKTrHybYGcIwmZNSkBBYpZyUMmHixMR8Xu/PRmR3NXtZJACYDNdvyte2K\ncvokrezqil+cqu80pM/cf6au6j8j97M5sW1VoGEAnkb+PnwiE2WAQPimiSYVLGQ81GUFxDFleziG\nNufYB7bPv6NJzXGKbDv62aaU30vdkc79P+/Xp7v/R6/TKj126dN614LLYb3Riqhyk8Sx2hooc51y\nM37sR3SJsO9D5btyKBNewx5f+zMnduw9wTuadpvAC5WqzE5PLFkBHerxTocoRGZlXlDOY00bNTD9\nNVIunAQd+6gYSHEbnJ+BAC54ttPXjdf0sQPfoLdc+fd6997vSo54MpW5TCYfs0C4v25blQuB4CHl\nQui2Dygxtg1KoEewpTCyjTQnaWbCPJ1lSvZnRfM3MkReRzO7D9dMo4y2pEtqOn3FZ9M4OFIs/HfQ\nagrH3faY4g4AByUYoGgqv/d7uKyzrZyZ0xfI+tgu+lNv/jdJ31C3u6aiYYuXHtnBbTC7Wlr0KHDt\n9Uovh7HZQN/UpBJoWcDJQOhzo6akcElpEcbIXUf54qfQxQie1PvIdLJAKd2bawGTcrbhPtg8HFZx\nu9MGFWzLZiZ9SK7D7Itqy0Bs4YsOepryEVTMsKMbgWNu8Ip+RJqPNBHb4Zjzxjmkyec2sHy21eNG\nYPc10dcagz9uE8cqAj/nLzJBjmVko1yPzDOpBIhUOFWm/TS+zZhnwn+04fHe87tQUeDXdD89r7yf\nq52+Owq8tdS9TKq9QYUPy05eRvti5MzHzEa8+FrKhYYMgYyEW1e8SFmvo3ylPykDArIvMwoyHS/a\ndshvIHd5Lt8Lf4Py/YEWzgbKs6CQddkEdFlN5aYUgYllczw7Su+bnVSuTPzhfDiREXsczA5nUE4E\n2UZ5bAh9aShnliPoF4NiVixmvW6nwdFjNI5xblb0naAeTWPXI+UPtuBaaKhYrxMok+6aOJd15e8R\nYZuEvnrcpnD81s2S7lC3O6pdKe32AS5kIohMlUGRE7BB2iZYNHttMtBMo+bn1o0IUmQUFl7mcz00\nPSnssf10pkf/Ff02BkWDWwx40PR1fywwEZRYl/BfODYzxznXbcbigBOBkQwlMl32zXU1NTfYOrWV\nHj/PY5ynTcrv6GAgLPo9I7uWCnClJUDfr/tlsPc8CPkZtOhIeq10wR+9UXvqIf3ZBZfna4isl59o\n0sf2kh1z/ViRuU0rlkozS4u7pgaVlAoBu1Sy3d4bKnZa2u0DXIBU821+3MvWkWpHS+ov3heSAUEM\nBHSUC6vzkanFRMEz6yOY0GEt5YATWWCsp1PxTSB0eW4HfUEx8EOBiD49t9ntrQoAOX8MNnTCNQSe\nCHQ0jQm6EeTYj6g8qEDMqKaVtnlw/gwoZEP0P06r90kz0YzltdEa4Drh2EZXBn3DDel9f/RWPVj7\nez0oqdH+H2qfv2+uMKj8OJYuyymCpVn1NM4JdUtpntoqnhpt66cfv0u/Y+0QtKO5c2+P2w2AC5C6\nVxUMr3tDaQZbIOzMtrkUI8VVDIzalYvM18VFyugoQcXXkzFEvyLBkPU70YfI6ykM9XAdGQWDGozs\num2RcVDYaOb5Q0ZK9kFTPPq73E+blmwDwSZGlKkwzJSqIribQjucXCfHj32PYEcgi8ecz/5klyP1\nmqkRmJxnQLpRx+gCXaA7JLUn983nlYqMLgcqwQhmnBPPNxXaAPrqvtA1xLlz+/uk7v/WE5Z27wNc\n6BbYgT2udO+uJ5iMJQo4Fw5NRwq/ryOLokBR6BnJsxDS19UJZbBc7v2ycEeGEaO5rJ/mGIXaiczG\nZRBUojNeKNeCQ2ZWD/kj+/OYbo3xUjBnQlmRbQm/zQbZZo6rfZkUdF7vdvWFY/7mJmHPYyyDdVUx\n9fL31999rA4bf0yqd6RLlAdaYt+i0mGdcf44vwQ8Kw7/n0CeZSjP7VBRX+1UJR/p1M7dQ7jbB7hQ\naaa879cLxpNqTeiJ5gKuh98UTC6qKvOvKjAgnPMH+8oywfDxNvL6P5lO9LdF4COrdH+mlbeN4MKg\nQGSfESBcL+uLjJgm11zBEjLWtnKBj8qJoFJXmrvIrDhGrKvKvCbT93EGt6S8D6ybwSvhWrbdLJXW\nAMtyvS1JH6lJjSUp+CL1bl7mehGOkyVGtwAVcRx/s1T7BAeVu23oO21IGi1+ds/UTk+/LttgFhUA\na0crN4PIICgg0ZHPheNvClAEIvp/uLCdIoi6zsiOyBLMEimYVYysE/JEJhR9ki6Dvq+4fYPgTHbG\nvrCO6H+0Wcuxpp+RAka/mJSbcRH04pz5fxz/yD77cA0TFURkWjPhfGyH2SPHgWMUmX8sl0GKPnzc\n78j2q5QSGbX7HANJnE+7N1wGmavHcErJQhpQbq2U+zZr1yvtkJjaOU+H3m0CL0DynqbaaqWJnSyO\n106Vuv9Q7hMcUg4EXswEIYKM1GsmRgDkwpxGXikHDi7yuCfNzGdS+WIn+EXtHtkY28rfNGEp/HQF\nMAoZI4lzsV+2gXsaq4CIZjNBnW0lOFUBCRkqx9+s3mzNJm9kfZHRk62SqUVm6XojY46MmKAl5Uye\nLDeOKX2VUflYoXC9+jcVvZA/+ksjSLvMDeX5VSpMY4/FlKSbNqvbXaonIv26mMB7LGblteNK8HMq\n94LVjlMR1Xp98X/2EVNtpSdlTCntC4vMiykyFR/zN7V1BCbmNWtyG/zf55sV5RAQpd5ACz+xHZGB\nUSDo0+OHgGITisDG5PMe2+jzi6Yjne9mH27HQMgfryX74RjMlPVPlh/PbaciH8efG8UVvgnGEYi9\nbritphG+vV2JH4O1yyC4xYCU5hjH2IdWKItj47749zTyrJC0sjzeKsvfpGIOXr1UtROKJ8PUDpZq\n6dUbC5626Enz+lSl9evX69BDD9Xy5ct18cUX95wfGxvT05/+dB1yyCE65JBDdO6558772u1NW4Xx\nu+++W6973ev0k5/8RPvuu69OP/10nX766XrooYd06qmn6q677tKBBx6oyy+/XI1GQU0uuugiXXLJ\nJarX67rooot05JFHzll+94biu3aSek2PKLRkeFUmscIx9o4BDAIJy41lRLOuypS0ZpfyvW0E4yr2\nE4GSLIWMrS/8JsPizMW2O3G/WEzRxIrjEZkV2+W+0AlP0CFr5LyRIZGpxr66fVUsskpBsV2sm4lt\njmVPqbe9npetKRBVXMMxjazTebm52x8zz7l8ujzeULElZkV57auVb8qefCJeirRjJvCWLVt0xhln\nZK/FPOaYY3reCveSl7xE11133Q5duz1pqwC4ZMkSffjDH9aKFSs0NTWlZcuW6QUveIEuu+wyvfCF\nL9Q111yjD3zgAzr33HN1/vnn6/vf/74+9alP6bbbbtM999yjY445Rj/4wQ+0xx5zE81ZBshNztas\n0eEtnOMCNuOJ5m0Vo6NpRJCKQhuFivnJZhSuiY7+aOr4N78JNoxg8jzNIJYbfUiRZTWVj4FBYALj\n0a4oh+0iUFERCNeQ8bov9CtGwZdyJz7NySmcY38igFb5W6vuHKIZKtQRAamDeui/dD+dbK5zq1R0\nqbBNbHPc6yjUSZPZQa/+bb/rdzHSjgLgfF+LWXX73Pa+UnM+aasmcLPZ1IoVKyRJAwMDOvzww3XP\nPffouuuu02mnnSZJOu2003TNNddIkq699lqdfPLJWrJkiYaGhjQ8PLztN7d3MMF15c5/L9Doo6ur\nd4ErnNsaY2A+qdrvEs1QOtUZWImpyg8Xzd4oGAQY7gmjkLGtVf4hMiyDWRVT9Hh6I21D6ZbA6Euc\nRh1mSlPKTUB+ov/O5qOd9rydrI5vmofT+B/bwzGci0HShOZcG3x8rdtSD/Vx3Un5eDIQ1BeOeZzp\nkyZoun92Ofh7CvnjvJa+0dpxpVl7ePng010g/VJPmdcnpqrXYt5zzz1Znlqtpm9+85s66KCDdPzx\nx+v73//+vK/d3rRVBsg0Pj6u733ve1q5cqU2b96spUsLZ+vSpUu1efNmSdK9996rlSvcxJ2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YZM10EKtzkya5fhIA2BwIqAysLXM2JdAvGl6/5SX9n8+5r8r98qXlw+hfLI2NwWgnon/DfAcwwj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\nOCW9nW8AAAAASUVORK5CYII=\n"
}
],
"prompt_number": 32
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This looks sort of like a high-pass filter, or an unsharp mask, but it's not."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# create a high-pass filtered (unsharp masked) image\n",
"from AG_fft_tools import smooth\n",
"clf()\n",
"unsharp_masked = inputmap - smooth(inputmap,19.2,ignore_edge_zeros=True)\n",
"imshow(unsharp_masked,vmin=-0.5,vmax=2)\n",
"colorbar()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 33,
"text": [
"<matplotlib.colorbar.Colorbar instance at 0x10de0c7a0>"
]
},
{
"output_type": "display_data",
"png": 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llCFwLcnlcnjmmWcwY8YMzJ07Fxs2bAAAbN++Hccdd9xIuq6uLmzfvn2Mlaiz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Oww7VETqTmlrOqtcCHuGYNDyR9ScwDcuXMnPvnJTx77PnnyZDz//POVCf+C8lP1bmrCVrKjuYcD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\nyEoDABvSkIZ8ZOX/A0b023QHQ+2jAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 33
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# show the difference\n",
"figure(1)\n",
"clf()\n",
"imshow(map20-unsharp_masked,vmin=-0.5,vmax=2)\n",
"colorbar()\n",
"figure(2)\n",
"clf()\n",
"l,h,p = hist((map20-unsharp_masked).flat,bins=linspace(-0.5,0.5))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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qAzqP/ZVj4TEvtW2SepkSd6yPGzeQXsul8bvB8lxuZfoxLMh7CnxzLvOPHHMi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YKm83D2X90ATKMmP8wxNS11IdC0ynbIapRdA9UAa//r9VEg44KmfkS2l6Yj3RBkkQR4mrysL48A\nxuwj+uDIttgPvLZqehPMUu2wQtOU9bBe7XOes+Y74MGT/V9EANM2hGDIcv87d0r2EvT/t4Yu21ve\n4YvRU2+FW7duXV1pXnjhhS3mnajUurQ1ZcOGDejs7AQAdHZ2YsOGDQCAF154AXPnzp2wcm6pUHcC\nwxC8iaFmhWUjbQjPdCML4IAjiFDUPweEYIoCoO0JZQwczOr05oTUvNb05oqu7MCaSQQEgmaX5Fme\nffchgFU7AlCXJR/LUrAku1B3ggIoma4CnoIAy9UtGmrysYzUKGJAJbX1RHWxDEzPq2nJ9lp/Ldkr\n+weovnOEi4xGYDU6zesISa96UXfLZLU/+a1tpFi9rYXTLce5EA8hvBpT3QOPZvOF7oO5k3SfcIrV\nA8DIIPDyYM1s9b4VbnsFTiYMgCq5XG7cBo13bvHixeHPyADQMVDRxq3x7z51j2RPvu1FYFNkUDQ9\nexAc0gyQKMuzAQuaa/xmmSMIF9X6wKyP0fo42hHfo0xzm/XqcYKR9eUhOzeYtSmP8PBX3U5SlPKA\n6ieDKIMsS14FcDXxybLom6Pfk8wLiAGB22z4W01xMlqCQMHoSh0tcLMPWZ4eh9RB3XUMWJeCujjo\nL4PoRPY5jLDdhHXwm32u7JH9qNdLo/sW1FRUd177bgS3SB+8NTMj++Y1GII3gfuzdtwxcTN3cHAQ\ng4ODE8tUj9QCwI4B/6H8duJvhbNpCoUCuru7sWnTprreKDcRmTAAdnZ2olgsoqurC+vXr8e0adNq\nKr3HHnvULGfx4sV+A/Qt8GyPg6Elu/8RQG4h/KDgpFeThAOpiDDBFVwoarqWzHFOZDKqFpOO5Sjg\nKXgUEPup7PYFIGZLRcR+sh74Qa5MpTtLP4SYAVmGoVdOTVRlSxZoLQNU8BqDBwX+tiNDF5Wi9JX1\neykDapPzrJuAo1FisrM+hAcmKPN7FMA8VLNZMkBlx6PSBiC+Dgqw7GfLFHVhaIFffAmCkL5Rhq0+\nWi1L26H+WPr52B93ZOmGES/yAHA3/D7A2wH8d0xYBgYGMDAwUPl/ySWX1E48EdmGb4U7/vjj8YMf\n/ACnnnoqli9fjo6ODnR2dmL33XffYt6JyoQB8Pjjj8eyZctw8cUXY9myZViwYEHl+GmnnYavfOUr\nWLduHZ577jkcdNBB45blrgZypcwMXpgdtBNnBOGBArqVBIid5cp6gBi8rCOeabmCMz9ZifrbbD4t\nL2U6qU+RZfIY01tTj+yJE4TspRfhRfH6YflIlKeMz5qs1gRX8FL9lC2m2sb/tg4FAe0rTavXTxeV\nNnjQZ9kqc7M8dyO8H5qLYjdiFncN/MJyOuLghEbqUzrba0sd1ITXfrAskP5I7VebXgHY6sGFQBk/\n+62czY+UWU//chn+ZUnb8vY3lRpbXLYk9bwVbv78+XjggQcwc+ZMfOhDH8LSpUvHzbs1Mu5G6IUL\nF+L+++/Hyy+/jGnTpuGb3/wmTj75ZCxatAjPP/889tprL1x//fVob/doc9VVV+Gaa65BS0sLlixZ\nUvOFxd40fhDOzfP+DA5SBiqAwAjV/2SZjB7XSZtHmEzdJp8dnPpbRcu3oJZKo+WNwZsy8xCzjFF4\n1tifpVfzeMToWIKfyAXEfjrmUfMLiAFLWZ/mVWasbWAf2LQKUEAMBhYolHXpJNf+0b7XuglOXDBS\npqfm4beC1hi8tXAp/PX/Evw10LGlPlGKgrUyNh7ToEZq/CijtRYG02hfDsEvND3SzqLkY78SUDsA\nXADPDlcjWAkAMM+htWMjPrH7wxjEMahHGrYR+pA6y3ikuTdCT/qdIJV3gvCp0MMIUd4ZCH4woJpV\nAPHgBKpXUx3YXC0VOBSgdOBbcFFTzgY1lNFYZqbsTrevAPGDWtkuRoR7ESY2z9OEpt7Mq9FlILAH\nZREK3jTb+J9BAbLaAkJwgW3QfrGBC5qiagq2IY5qk6mzf3R7EnVQ/fS66bUZQvCJ0R+ZBWw+duUz\nOAwP4AN4CzfjRLz09T+J67OBNIoCv73+BLkO+bbXnTryuw3hQR4sY1j6tl305vXTBYzXq1f6UPtl\nODt3h/QLTexRwD2OmtIwADygzjIenQLA6koVAE8BcNMm4MjWOJgwgvg5bgpiFvCU/aV8MG2I2RbP\nq1lmI8IKSjYaqX4fDZBomavhAbyMGHBK2fGH4H1eajZyQtHRr8zAtksnrA0gKINTE9S2XUGTk5eL\nj/ZnO6r7VxcAZVaWjWs+6xZQM9OyaQYvWEYR8dOmNbjFvm2Tb/VZQvJZRqv1lhK/Na+CuTJq24e6\nALM8BVYdT+qHVgZtmSsXvgKCq6I7O/8oqkFUgkX6mKyGAeCcOst4fAoAqytNPQ1G9kO5X/sHIrin\nfDS4MrnUQc9Bods2lCnoak5RH4oCY0m+KWpqaxotj+n0d61JZNOxLEagabYTbHRCs2908iorTZn0\nFN0SZKOWZDOMlloWoosMv22/KpCl8lq2bQFUGSPbmlrs1DRlmxT4WEYBsduDovXWMslVtE5tp72u\ndvFkubrnkvmtiZ2yNnQhsiZ+u8mr+1PbQn53dY02oYEAOLPOMp6aAsDqSrOLUHnIow5IAp1OSB2E\nOmitqaKrNAeGHWh2QlmAtJODTEmjjyodkp7lEdAKiN9ZQj3VZNX6yQC6EfvCFAyBuP1av4ISj1mW\nYn1VLEPrYv+U5TzzK3tT8LPXheBlnf2pPYWrEd9HTFO8mP0m6+FCaF0i1N0yfCBeKOz1trpbwE2J\nsmw7Dq3lYOvhbzWVuXiPynk7Ltrh/ZnsD6Y5OTuuzJLlzoUPoCF+XWbDAHCfOst4dgoAqyu1DPDL\n2Y8hAGPZU2C4D/AQhInDLQ/KBJVJkB1w8JBdWcDTwQk5bs0hDqoZ8INJmSDr1+0RBAqNJo+hGgTU\nsU5RcCALpAmkEySx4qMDwbcEOWcnNb8VRNhfJfNfJ7P+p1jmZPOopBYubYv64HjeBpw0MMJ2KSNV\nH1/ZfNi3ev10ywxQ/SSXlKkLxNeVbWM5NiJsy2J66kg/K3XpRjCFC1k93QgBsVvitt9+z5/hSlyI\nzWjByjf78V9Pd+GjH1+N3/14Btw5SErDALC3zjKGpgCwutJcDjjSwd0j218oOrCA2AeiK6D6eOwk\nVyaoYEAA1QlaKwgCKUv9YpZRcqD3IAQPqH8bgo9HtzhAylB/lTWZFfRYjjUtlR2WEfxCFAKaTnht\nHxcW9bmlmKP2h+qY2pxtgQ7mnAKTsin6PdWkVH+wsiwGFBgk0DYqWLeYOnQBUTabAnQg1pHl8Rqm\n3ARMYxcMXVBrLQQa/IHkp1WhQMzrlo3Bel6KDjQQAD9SZxlrpwCwulINgizyu9tzZyGYO2RIQJjM\n7QimkB1E6hfUcwqUCjj8VnOEg039iRxwXNEptQCT6TUCTaF+3OrTjuoXpyv7Yjk98MxYgUuBWCcx\ndVfGw3KsuWpNYdWXemp/KHuCnLPmXcp81HI1Lye7gpKa2nQVsJ3WbNRrsBI+MqomO9NxodJrbiPw\nqQCb7as2k5fn1aogE7TmsS7Mtv8UpJnHmuMWIAvwd4mMINwz3I7K7XPuPCSlYQA4vc4y1k8BYHWl\nCoDT4W/6B/yFtnu0aFoWEB6TZVd0K3ZQWtakg3xMvvOoZnnKPlPmJH8TIOnLgklrJ5dlc4zsjcKb\n2/0IQFpEHBHnZNAJRKnlN1VwUdZEKSJmjyxft91oeVq+ZVDjXZMhhFvQWI72l5q0RcS3LZYRousp\n0EBC3zbJP4J4sallQVgGqboxOKGMXcE2xZx1rCkDZltH4a8vdafpOwT/dKE+AKcC7h3cCWKlYQCY\nr7OMkSkArK40tQ/wFPgLfy/8rXFA9SrKyWl9YEj8BqoHsq6mLLfN5NOJkGKAanJasLEApyBsAZNl\nZJFvPA0/6LsRfD5DCPcE9yCwGPWZqQ5t5lt1TJleFBu5VtApiO627yD5lI3ymJ3oCjBkqUMIgSLt\n9z74+6IVaFQ39iH7jeBj2b9GjFNbg5T56zHLbPX6qRtFmbFdGIAwhvS6a4BL+5NuAGXELYjdKqtR\neVKMOxQTloYB4K51lvHqFABWV2pM4Arz4+BgBLCEcPHVXAECO7S+JGu+2NXdil3xgeqJYNmWlsXz\nml/L5W9OBAu2JfhJvHINcMyent0AIeKp7VbTWs0hTm4g3qirIKTgyHqtr03L1nMWIK2kzMbUQlA2\nxxQMbb+WEt/qvoA5zzYpqHTIf73bhGDNdmt77WJmATV1TVMLi81LscxbQdXmsf1GvdsRdhkUUbFc\n3JXYojQMAHeqs4yNzQ2Adtpud6n4/0ZQmbzuev9ABPegfwYagGAKr4RfAcfg/R792e8xeCA5AGHA\nqL/FDu5RxKstJwDBTKPMlv1AfuvE1WAF2UdR8qhJqQO7C0DHnmGHf9HoDgTfEqOFBBBlPgrUFL2L\ngHsm+bFOdbabJlhR2sL62GYVncQUC1TsR91zaPtWAZp58oi3RFl3gwJpD6oDMjymm5jJbtukPLtY\n8M4WCvuAfdyFGDR1kVFAZRnUccS0j+OXrhZIPvZnhxyTMey2/onw71xSZOJdKJPOAAG5DU4nGRBP\njjw8/QdqR06Zh4xI9wSmmIb176jZqPuydEBb88ma2UAAG353yXnLcAjCOnFbEACPKz4nDkGUoKCA\nqqKbZq3pSPZsWZvus+NH73hRBqrsTctI/R5DDHj0aaoOFqB0EdN0lrETJAumXtsWIGaR7APrM6Qo\nM1ZgLJk01mTWRU710UWW15e+WGV2uuFf6yvB3+a2dQ8/aRwDbKmzjHJzM8BJB8CKD/AQBDDgxEpF\nE9VUpqOc6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},
{
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A+O3f/m16enr4t3/7N/7wD/+QaDRKeXk5lmVRUVHB2NjYjOt98skn+P1+8vPz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\nXM3M3WJcOnEAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 46
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The \"point sources\" (small width gaussians) are very well reproduced, but there is a lot of structure that is very different in the unsharp-masked version.\n",
"\n",
"It's pretty clear that the amplitude of certain features in the processed map are enhanced; I think this means that in power-spectrum space, some power is being transferred from the largest scales to smaller scales.\n",
"\n",
"This is happened to some degree because the pipeline insists that the resulting map must be positive everywhere.\n",
"\n",
"I think the effect of the pipeline can loosely be described as doing the following: \n",
"\n",
" 1. subtract off the (local) mean of the image \n",
" 2. make image non-negative by subtracting off the local means of the negative regions "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figure()\n",
"imshow(inputmap[50:-60,50:-60],vmin=-0.5,vmax=2.0)\n",
"figure()\n",
"imshow(map20[50:-60,50:-60],vmin=-0.5,vmax=2.0)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 35,
"text": [
"<matplotlib.image.AxesImage at 0x1133d3150>"
]
},
{
"output_type": "display_data",
"png": 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AbmtMB6nHCemA8YDCdguqGTaPXYStjXU8/dAjeA9egd/FqwCECXzySweBh9uC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},
{
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Db0aRlC83VJr3Yr5GBUkAY4JUaOd+V6OvHdWKwFBpFfVa+Yqk6FIdo/dUHhiz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hwGkCVNavR0YxqfCVq8Ru/jMTguldIKvaxGSazEyaQMQm5DaryG12RbHJsAJsyfMpnGfV73eG6f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\nWTbLEyr/HzkYZbBbNrrGAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 35
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pylab as pl\n",
"import agpy\n",
"pl.figure(figsize=[14,12])\n",
"frq,inputpsd = agpy.psds.PSD2(inputmap[50:-60,50:-60],oned=True)\n",
"frq,map20psd = agpy.psds.PSD2(map20[50:-60,50:-60],oned=True)\n",
"frq,unsharppsd = agpy.psds.PSD2(unsharp_masked[50:-60,50:-60],oned=True)\n",
"frq,unsharpM20 = agpy.psds.PSD2((unsharp_masked-map20)[50:-60,50:-60],oned=True)\n",
"frq,unsharp40M20 = agpy.psds.PSD2((inputmap-smooth(inputmap,40,ignore_edge_zeros=True)-map20)[50:-60,50:-60],oned=True)\n",
"frq,unsharp10M20 = agpy.psds.PSD2((inputmap-smooth(inputmap,10,ignore_edge_zeros=True)-map20)[50:-60,50:-60],oned=True)\n",
"\n",
"pl.loglog(frq,inputpsd,label=\"inputpsd\")\n",
"pl.loglog(frq,map20psd,label=\"map20psd\")\n",
"pl.loglog(frq,unsharppsd,label=\"unsharp\")\n",
"pl.loglog(frq,unsharpM20,label=\"unsharpM20\")\n",
"pl.loglog(frq,unsharp40M20,label=\"unsharp40M20\")\n",
"pl.loglog(frq,unsharp10M20,label=\"unsharp10M20\")\n",
"pl.legend(loc='best')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 50,
"text": [
"<matplotlib.legend.Legend at 0x1151f6ad0>"
]
},
{
"output_type": "display_data",
"png": 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kpaUVqq2DgwN16tTBZDIRFRVFVFRUodqtXLmS7OxsDh8+zPbt2xk5cuR1x4wc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9zdm8hnIvG90lcb4JuasjKOegYT+9AoQge68fKwl22dSJqYmtYN9jUNkJGRQVjYXx1cQkND2bhx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\nKDzFBwAAKDzFBwAAKLz/D1cnFcyXfQfSAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 50
},
{
"cell_type": "markdown",
"metadata": {},
"source": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pylab as pl\n",
"import agpy\n",
"pl.figure()\n",
"frqp,inputps = agpy.psds.power_spectrum(inputmap[50:-60,50:-60])\n",
"frqp,map20ps = agpy.psds.power_spectrum(map20[50:-60,50:-60])\n",
"\n",
"pl.loglog(frqp,inputps,label=\"inputpsd\")\n",
"pl.loglog(frqp,map20ps,label=\"map20psd\")\n",
"pl.legend(loc='best')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 37,
"text": [
"<matplotlib.legend.Legend at 0x11376ca50>"
]
},
{
"output_type": "display_data",
"png": 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og9gmJyxhSuozvL7bAeV8EvfyNXmhbziVHBoSu+UJ4l8YTjV9Wyrk+OJXQ89R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\nSUVORK5CYII=\n"
}
],
"prompt_number": 37
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pl.ion()\n",
"pl.clf()\n",
"frqp,inputps = agpy.psds.power_spectrum(inputmap[48:448,36:441])\n",
"frqp,map20ps = agpy.psds.power_spectrum(map20[48:448,36:441])\n",
"\n",
"pl.loglog(frqp,inputps,label=\"inputpsd\")\n",
"pl.loglog(frqp,map20ps,label=\"map20psd\")\n",
"pl.legend(loc='best')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 38,
"text": [
"<matplotlib.legend.Legend at 0x11377c210>"
]
},
{
"output_type": "display_data",
"png": 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HK3OrIq2rKApJV5PYnbyb3cm72XZiN4lXT2Oe9gS3L9fC3uUillUvYH6rBlcP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\nIIQQJkySgBBCmDBJAkIIYcL+H1oRCFmJm+YtAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 38
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# formatting\n",
"from IPython.core.display import HTML\n",
" \n",
"def blackbg():\n",
"\t\"\"\"Black Background code mirror theme.\"\"\"\n",
"\thtml = \"\"\"\n",
"<style type=\"text/css\">\n",
".cm-s-ipython { background-color: black; color: lightblue; }\n",
".cm-s-ipython span.cm-keyword {color: #00ff00; font-weight: bold;}\n",
".cm-s-ipython span.cm-number {color: #ee88ee;}\n",
".cm-s-ipython span.cm-operator {color: lime; font-weight: bold;}\n",
".cm-s-ipython span.cm-meta {color: white;}\n",
".cm-s-ipython span.cm-comment {color: cyan; font-style: italic;}\n",
".cm-s-ipython span.cm-string {color: red;}\n",
".cm-s-ipython span.cm-error {color: darkred;}\n",
".cm-s-ipython span.cm-builtin {color: pink; font-weight: bold;}\n",
".CodeMirror pre.CodeMirror-cursor {color: white; border-left: 1px solid white;}\n",
".cm-s-ipython span.cm-variable {color: white;}\n",
"div.text_cell_input { background-color: black; color: white;}\n",
"div.text_cell { background-color: black; color: white;}\n",
"div#notebook { background-color: black; background-image: none; color: white;}\n",
"div.code_cell { background-color: black; color: white;}\n",
"div.metaedit .maintoolbar{ background-color: black; color: white;}\n",
"body{ background-color: black; color: white;}\n",
"#notebook_name { background-color: #333333; color: white; background-image:none;}\n",
"span.ui-widget-content{ background-color: #333333; color: white; background-image:none;}\n",
"div.ui-widget-content{ background-color: #333333; color: white; background-image:none;}\n",
"div#ui-button ui-widget ui-state-default ui-corner-all ui-button-text-only output_collapsed vbox{ \n",
" background-color: black; color: white;}\n",
"div.input_area{ background-color: black; color: white;}\n",
"div.ui-widget-content { background-color: #333333; background-image: none;}\n",
"div.input_prompt {color:#6666CC; font-weight: bold;}\n",
"div.output_prompt {color:#CC6666; font-weight: bold;}\n",
"div.output_text {color:white;}\n",
"div.text_cell_render {color:white;}\n",
"span.item_name {color:white;}\n",
".ui-widget-content a {color:white;}\n",
"div.tooltip .ui-corner-all .tooltiptext .smalltooltip {background-color: black; color:white;}\n",
".pln {color:white} \n",
".typ {color:#f9f}\n",
".lit {color:#BBB}\n",
".kwd {color:#3e3}\n",
".metaedit {background: transparent; border-color: transparent; color:white;}\n",
".ui-button-text {background: #112; color:white; border-color:666;}\n",
".ui-menubar {background-color: transparent; background: transparent; background-image:none;}\n",
".ui-widget-header {background-color: transparent; background: transparent; background-image:none;}\n",
".ui-helper-clearfix {background-color: transparent; background: transparent; background-image:none;}\n",
".ui-corner-all {background: #112; color: white;}\n",
".ui-widget {background: #112; color: white;}\n",
".ui-widget-content {background: #112; color: white;}\n",
"div.highlight {background:black;} /* needed for nbviewer */\n",
"div.output_stderr {background:#400;}\n",
"</style>\"\"\"\n",
"\treturn HTML(html)\n",
"\n",
"blackbg()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"\n",
"<style type=\"text/css\">\n",
".cm-s-ipython { background-color: black; color: lightblue; }\n",
".cm-s-ipython span.cm-keyword {color: #00ff00; font-weight: bold;}\n",
".cm-s-ipython span.cm-number {color: #ee88ee;}\n",
".cm-s-ipython span.cm-operator {color: lime; font-weight: bold;}\n",
".cm-s-ipython span.cm-meta {color: white;}\n",
".cm-s-ipython span.cm-comment {color: cyan; font-style: italic;}\n",
".cm-s-ipython span.cm-string {color: red;}\n",
".cm-s-ipython span.cm-error {color: darkred;}\n",
".cm-s-ipython span.cm-builtin {color: pink; font-weight: bold;}\n",
".CodeMirror pre.CodeMirror-cursor {color: white; border-left: 1px solid white;}\n",
".cm-s-ipython span.cm-variable {color: white;}\n",
"div.text_cell_input { background-color: black; color: white;}\n",
"div.text_cell { background-color: black; color: white;}\n",
"div#notebook { background-color: black; background-image: none; color: white;}\n",
"div.code_cell { background-color: black; color: white;}\n",
"div.metaedit .maintoolbar{ background-color: black; color: white;}\n",
"body{ background-color: black; color: white;}\n",
"#notebook_name { background-color: #333333; color: white; background-image:none;}\n",
"span.ui-widget-content{ background-color: #333333; color: white; background-image:none;}\n",
"div.ui-widget-content{ background-color: #333333; color: white; background-image:none;}\n",
"div#ui-button ui-widget ui-state-default ui-corner-all ui-button-text-only output_collapsed vbox{ \n",
" background-color: black; color: white;}\n",
"div.input_area{ background-color: black; color: white;}\n",
"div.ui-widget-content { background-color: #333333; background-image: none;}\n",
"div.input_prompt {color:#6666CC; font-weight: bold;}\n",
"div.output_prompt {color:#CC6666; font-weight: bold;}\n",
"div.output_text {color:white;}\n",
"div.text_cell_render {color:white;}\n",
"span.item_name {color:white;}\n",
".ui-widget-content a {color:white;}\n",
"div.tooltip .ui-corner-all .tooltiptext .smalltooltip {background-color: black; color:white;}\n",
".pln {color:white} \n",
".typ {color:#f9f}\n",
".lit {color:#BBB}\n",
".kwd {color:#3e3}\n",
".metaedit {background: transparent; border-color: transparent; color:white;}\n",
".ui-button-text {background: #112; color:white; border-color:666;}\n",
".ui-menubar {background-color: transparent; background: transparent; background-image:none;}\n",
".ui-widget-header {background-color: transparent; background: transparent; background-image:none;}\n",
".ui-helper-clearfix {background-color: transparent; background: transparent; background-image:none;}\n",
".ui-corner-all {background: #112; color: white;}\n",
".ui-widget {background: #112; color: white;}\n",
".ui-widget-content {background: #112; color: white;}\n",
"div.highlight {background:black;} /* needed for nbviewer */\n",
"div.output_stderr {background:#400;}\n",
"</style>"
],
"output_type": "pyout",
"prompt_number": 10,
"text": [
"<IPython.core.display.HTML at 0x110817a10>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import sys\n",
"sys.path.append(\"/Users/adam/work/bgps_pipeline/plotting/\")\n",
"import compare_images"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 39
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for fignum in xrange(1,10): close(fignum)\n",
"figure(3)\n",
"compare_images.powerspecplot(inputmap[50:-60,50:-60],map20[50:-60,50:-60],'input','map20')\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"powerspecplot took 0.40002 s\n"
]
},
{
"output_type": "display_data",
"png": 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ggF69ejFo0CBmzJhRvs8vSVKtUtqVhc7TfVSEmJgYBg4cqEkWR44cYf78+fz6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\nGBoamvbfZnNDcXIxkqKSkF2djWH7sNTh+B0uFl5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},
{
"output_type": "display_data",
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Db0aRlC83VJr3Yr5GBUkAY4JUaOd+V6OvHdWKwFBpFfVa+Yqk6FIdo/dUHhiz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},
{
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og9gmJyxhSuozvL7bAeV8EvfyNXmhbziVHBoSu+UJ4l8YTjV9Wyrk+OJXQ89R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\noFYt7WTQpAm89x4sWKD912B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},
{
"output_type": "display_data",
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HK3OrIq2rKApJV5PYnbyb3cm72XZiN4lXT2Oe9gS3L9fC3uUillUvYH6rBlcP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\nIIQQJkySgBBCmDBJAkIIYcL+H1oRCFmJm+YtAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 40
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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