Created
October 12, 2017 21:57
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"from skimage.transform import iradon, iradon_sart" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import imageio" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"%matplotlib inline\n", | |
"import numpy as np" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Identify the filename, load into variable `img`:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"filename = 'angle0.jpeg'\n", | |
"img = imageio.imread(filename)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Look at the green channel of first frame:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x111b04588>" | |
] | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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3262EVR6Ph+HhYVWLMT09zfDwsCIWhfcQzUEmkyEej9Pb28v+/fsJhUIkEgky\nmQzlcpmJiQlqtRq9vb04nU7C4TBTU1Oqhdzdd9/N0aNHmZqawmq1qvoI8Y5kAooREF6lhRvHpvMU\nGrGWnO96eworpZj0B1KyDNIdua+vj3w+z/33368ku/v37+fq1at0d3fz5ptvcscdd2CaJs888wwf\n+chHeP3113n44YcpFAq0t7fT2dmpSMDp6WmGhoYwTZNisahUfrlcblEptRRU6TUWgOq4LJ2bnE6n\nWtWtVquqWqxUKuq6JYWay+VwuVzk83lV0VitVgmHw8qFT6fTylOQ3aLK5TLJZJJwOKy8lUKhwNWr\nV5mZmWFmZob29nYVIvl8PtUF+uWXX6a3t5dcLkcikcAwDKamplQXKtEtyPe40eFm43ff7Lj1EEOt\ndgzX86zfMinJm9EoyD31+XzMzc2xZ88edu7cSS6XY//+/UxOTtLZ2QksEGX67koPPfQQhw8fZt++\nfczNzbF161a6u7vx+/3EYjEVS4fDYTXpxTjIdcg28tIwVcZlXCtJlmyI7lUAylDk83kVx1erVRVq\niPGRTkpy79LpNJVKRRmWcrms+iJIBymn08nY2Bjt7e04HA5KpRKxWIxkMkk+n2d8fJz5+Xn27NlD\nvV4nEAjw8ssvs23bNp5//nkAIpEIZ8+exeFwKJl1Pp9flOlpGYWl0TIKq8R6GgUxCIZhEI1GGR8f\nZ+vWrRw8eJDt27erfRVsNhtzc3N86EMfUsq/iYkJnE4nhUKBrq4utm3bRnt7O5VKBb/fz8TEBIFA\nALfbrTgK4RxE4CMZBXhH0COTV37sdjuG8c5O0o0djqWuQBdfiaGQfo2A8hREfiyy7Hq9jtvtVt6E\nea36UUhGya5IBmRsbIx8Pq84jePHjxMMBonFYnR1danNZKRBzL59+zh16pTiNMTzaRmFldHSKbyH\n0PcSkH+lE1G5XMbr9XLhwgUSiQTZbJYLFy7Q39+P0+nkyJEjvPDCC4pXqNfr9Pf3k8vl8Pv9SujU\n09OD3+9XzU9tNpvq1iTZDavVqgQ++tiERxCRkh6HiwchpKL8Du8YTClyMgxDCaPcbrfiMEQ34PV6\n1WsipRYFplyfjLW3t1f1SnC73ao5SzgcVmKr7u5u5ufnAXjwwQfp6upienqhjCafz+N0OpXxamH9\nsKmMgr6irSRtlgdXL4x5vyHuumEYpNNpDMNg9+7d+P1+jh07plz6AwcO0NfXpyTBjz76KD09PeTz\neRUjh0JtmbTmAAAgAElEQVQhpqamlMvvdrvVhJIQQboTNd4DfZ8KXUkpx0kjEzEM+iorhgLeMQoe\njwe73Y5pmoprEGMj45EfMTAyHpvNht1ux+PxKJ2E9H4slUp0dHSolOiHPvQh/H4/FotFEY/BYJBa\nrcbc3JzqAC3GRjwUvV2d/ly8l1jumZVxNZM1L/W3tXzueqVHN5VRuBnRTJsgSru2tjbS6TTj4+MM\nDAwweG03p8nJSU6cOMHRo0fx+/28+OKLHD9+nGg0qnZRkhVYJni1WsXj8aj9EmTVlmIiieHFGxD1\npMT/+sTVvQeRY+tpPZ1HEH4CWLSnZbMSYt3LcDgciq+QRrQyZrvdrjwT0zQJhUIq5fjwww/T1tbG\n1NSUGseZM2fweDyK68jn8xSLReX93Ey4USPwXqCVklxH6FZabzyaSqW4dOkSlUqFzs5Okskk0WiU\nT3/60zz55JN85CMfUak5i8VCR0cHbW1twAJfAKjeBfpuSaLm042ATMxmeevG/RQa24stdU2yzZv+\nfv11vfJTvA3dsBiGoWoYxEsR41UqlVQKNhAIYBgGgUCAcDhMpVKhvb2dXC7HyMgInZ2dzMzMqOxF\nPp9fFCrdDFgP7mGjsWmMwkrhArxzQ69X3HGjWIpQkr/ppdDy0Eu/QVEc7tixA4fDwcWLF/nIRz7C\nnXfeycTEBNFolPn5eWKxmKo09Hq9iln3+XwqjpaCJIFMNDFAMkEbxV+yQjdeg75iNXtN9wDEa9Dv\nhYQZ+t6Y8rsuJpL7IN6J1DhI4ZXb7SaZTCqBV1dXl8oqjI2NMTs7SyQSUY1hJe0poZVcu94F+kag\nhx7Lne96RE9rESUJ5DvViVQxtvpYmwmq1oJW+LCO0Et4ZWJXq1UuX77M3NwcDoeD2dlZAM6ePcvo\n6Cg7duwgmUzi8XgYGhpiYGCAUChErVbj9OnTTE1N4ff7F8mTxXXXiUPdrZcHUP//crGuflyjoRCv\nZzUTQA9J5HipbvR6vcCCstLpdKpNby0Wi8pkiOcRjUbZuXMn0WiUYrHInj17mJ2dVX0iPB4PXV1d\nOByORVmS9YIeYn0Q8cG86g2Cni/P5/PY7XYCgcCiPRZ37NjByMgIIyMjbN26lfvuu4+DBw/S3t5O\nLBZTOXhpoAIocY50INInub6SNYtVGzMjjZ5B43ubeQ7LhReN16+/R4yJZGGEGBXysVAoqDZswg0Y\nhoHX61UKSdmvUkIL2RRHwhP9+j+ok3i9sanu4vXqC4B3rY7rtWLoxNty59ZdNv13wzCYnZ0lHo8z\nPz/P/v37SSQStLW1cejQIXw+H2+99RZf+cpXlMy3p6dHxerpdBqHw0EgEFDkol5gpbuT4p7qK3qj\n/Fe/TzLexhWx8bjlrlmyDPq59PsmkM7MwjMAKsTyeDzEYjFSqdSiximpVIrOzk4cDgfhcJhwOIzH\n41Hdn+V80u5d95ZW8n4ar2Gln/XAao3qjWK9MhGbyijcSrBYLPT29lIqlQgGg7z99tuMj49jt9uZ\nnJxU8uCPfvSjXLx4EdM0yefzqmzaMAzFK5TLZex2+6I+Avok1AVHel0AvJsjAN41gWS8je9ZyoUW\nY6RzCY28gnye3pJdziscQ7Vapa2tjXq9TiaTIZlMKpWlSJhTqRQej4eHH35YeUyRSASbzUZPTw+R\nSKTpjlGbmd3f7GgZhQ2CuMU+n4+7776b8fFx9u/fT2dnJ8FgUB1Tr9cZGhoim82Sz+eVWEeal8oD\nXy6X37XKi8egC3gkntfJrZUmyXJk43LH6l5Uoy5AX6n0zlPyuu5lCOkYjUYX3RfxDmKxGJOTkwSD\nQbq6uqhUKly9elURjnp6dKnwSL+ujTYYG+FtvJfYNNmHWw3VapWZmRkAXnrpJTweD319fYyOjgIL\nD/7WrVvVhirhcJhIJKJy8C6Xa1FIYBiGqnTUJ6QIlCQzIGx/M+m2PKC6BLrxwRXuYyn3UwxOo05B\nT0vK6+Jp6EZLujSLQtI0TaXalDSrYRjkcjnOnj1LW1sbbreb2dlZ1bpOxi7nqVariwyUPoZm19/s\nb+uJRkOwWVOPS2HTeAqrSaPoRF7jvgrLqclWc36dQ9AnxWq+UD39J+Nxu914PB5V5uzxeBgdHeXc\nuXPqQZ6ZmVHXIB6BTCBRDsrElUmk9wyQ98jEk98l3m+8dpmoerZC3i/Q04nNDIMYomaeSDOiUtdN\nyGdJ+bPUYZimqSop5TpFoyDNY/P5PIlEQo1VlI69vb2qstLhcCy6rsZxLfWdrsQpLMVRLHXcclgL\nv6A/5/q1rKTaXKvHsmmMws2MxpVU0mwTExPs3btXtVCfnJzknnvuweFwMDw8zJ49e8hkMtxzzz14\nPB7m5+cplUqYpkk2m1VfujRLEeMgBkAMgygE6/W6Su/B4jZw8m+jV6BPVv0Banx49RBADIas0Ppn\nLGVEZSUXebbOQcgDLl5PsVikq6tLaT3OnDmjNAw///nPSaVSykuYnp5uyou0sHa07uI6oXE18vv9\nGIahZMiVSoVqtcrVq1d55ZVXOHPmDPl8njvuuINcLkepVFJ9D6UISSagvFeflHoIIV6T7lHo4xLI\nRNf5CH3FabbyyXGwOFQQvkPGoXMGjWGEQCTUuhy7Wq1SLBYXtVgrl8vMz88TjUYV+bplyxZsNhu3\n3347Ho9HyZxtNptqU18sFjf0O/6g4JY0Co0uo/7aWs6hozHlo69OuutaKBTo7+/n5Zdfxmq10tnZ\nic/nY3Z2VjHv58+fJ5FIMDMzw5UrVygUCvh8PrUq5vN5FUbohsBqtaqyZMnXyzh1KbKeHmzkAHRu\noFEB2Rg66NfXTJ0nr+v3Qjc4jbyD/vlyjIxZ9AxyD3t7e9U2d6FQiLfeeot0Ok25XCadTiuC0uFw\nvCvlutx3ulq3eiUPSL+PS51rqedxs+KWNArvJWTlbSTaDMNQezR4vV5mZmYolUrk83l6enq44447\nVEFPLBajWq2STCYxDEMVODmdzkWTxmazKSOhr9CwmNfQJ7QeFuhja3zY9bBgJch16it/4+fr/IxA\njtG9CtnTIZvNUigUcLvdyoNwOByk02m1J4TsKiW9GzweDx0dHczNzWEYi6XcLawdrezDOkBf9eCd\nYiFR7EkfxnQ6TV9fHwMDA/T09OByuTh9+jShUIj+/n4ikYgqr7bZbMRiMfr6+rBYLFQqFbWK6p2R\ndNJP/3z5vZHkaySqGlc5/TzNsJTn1fi+Zt5GM+5FCrn0ylDhVcrlMoFAgJmZGbq7u9V7gsGgqpyc\nm5tT4UwL64OWp7DOkMk2Pz+v/i/FPclkUpGQ09PTeL1e+vr6SCQSzM/Pq4aumUxG6RxKpRKlUknV\nBkjbM32CNU7ixskoxqFRdLRUynE11wjNm8sIdJWheBO6uEpXTurdonTdRWdnp2p3f+HCBaamprBY\nLIyPj+P1ekkkElitViWLbu0BsT64aT0FfVu2ZlguRamz3XqMuxo0yp4bO//IeUR9KE1DpIuSdDyG\nd4qFXC4X8XhcZSk6OzuVIRASTog1vVpRJ/rkR5qhSDpTio6EiNRdf3l/owFp5Bka75kOOYdMaL3V\nmv4Z8pm6aElSqG63W+0Vmc1mFT9w4sQJKpUKvb297N27l+9973vKmPh8PgqFApVKhf7+fmq1Grlc\n7l2hzGo9oI1EMw2FjEnHWsbX+Ow2Cw2v97wtT2GDIA1QABKJhGriKvn4UChEMplkcnKSbDaL1+sl\nn89TKpXUgy+FQ7Ka6gZMz0g0hi7NDOJSD4buOTS+XyclBcsRdI2hzFJ6AZ27EAMgx0qH6WKxSH9/\nvwon3nrrLQ4dOkQmk6Grq4srV66wc+dOSqWSaiZrGIvFXvp1v18G4WZEyyhsEEqlEoAiz/L5PIDS\nGUxPT6u05eTkJLlcTvEGhUJBeTHJZJJUKqUedFmB9Q5JzUg+gd7roRFiWPSsSTOjIivdSr0KxCjo\n3ZzEuEmnJTF0cowoGaXvpN1uJ5FIUKlUSKfThMNh/H4/AwMDXLp0CY/HQ6FQwGazMTMzw+DgIIlE\nYlEJdWMmYCmvsYXmuKmMwmrTSBuJxn4Fyx0HLCrxjUQi7N69m76+Pjo6Okin08RiMTo6Osjn8+q6\nZENV0zRxuVwEAgG1+3OlUlEhgUxCeMcdF8WijEEvnGoMEyTml3EKZMzwbhJVjtcnt77Ky/F64VYz\n3YMYGem7aJqm2rRGrr+trU2Js8R4eDweVVUJ7zTIjUQiqnmt/nnNsi/yN7kPukd0vWnr1RibZinQ\nZh7ZSuPTX18Nljv/cripjMLNBD1lKAImabBimibT09NUKhXV0LReX2iXbpqmapUuK7SuHNRrG+R3\ngc4lNFvVmxGQeipS5wUaS611NNM8yCRvLL3WpddisGQMYlRM01Q9HaVCUiTioVCItrY2KpUK3d3d\nJJNJRkdH2b17N+l0GkC1zYd3WtTrxqrRe2phebSMwgZBHkTDMNRGLz6fj3PnzvHSSy+Rz+eJxWKE\nQiEmJycXrfqwMNnb29vVRA0Gg4pDgMWroL4i6z+NaTp90sqP7l3oMTk075Stcwa6kWkcv25MGr0G\nEWdJl2chZWXVt1gseL1e1U+iv7+fXbt2USwWGRgY4FOf+hSjo6MYhsHVq1fp6OjAMAw6OzuVjFpv\nWNsKHa4PN5VRWO2XuxZXa7XQXcDGCaP/TQp+xO0tl8sEg0G2bdtGf38/O3bsoFQqMTc3h91uV1u/\ni95fziHXo7v0wLtWwkZjIBNaJnmzisnG+yPHiKehhxfyObqhEIMlIY1+Pp1xlz6SOgkoxkhSr3oW\nw+l0ql2mJISqVqtqP8pQKMTMzAydnZ1Eo1G2bdvGJz7xCf72b/+W4eFhPB6PyoBIYZjL5XpXLUjj\nvdgo7qGR9FwKa3lum2UwdC9zLVgxJWkYRj/w70AXUAeeME3z7w3DiADfBAaBy8CvmKaZMBZG8vfA\nJ4A88Numab65ptHdxNAnk+xylEqlOHfuHLt37+bEiRMcOHCAfD5POp0mmUwq4ZJsiWYYC9uvWywW\nlbrUPYRG/kA3DM04h0Ys9dA0Tg59b4XGf5vFxo2fqesH9HJqMWyyu5XX66VcLpPL5cjlcspTSiQS\n9Pb2Uq1WyWazjI2NsWPHDjKZDJVKhV/4hV9g69atFItFfud3fgfDMPjzP/9z/H4/iUQC01xoZbce\nTV0/CFiNp1AF/tg0zd3APcD/NAxjD/BnwIumaW4HXrz2O8AjwPZrP18CvrLuo74JIKueVDf6/X7y\n+TzZbJarV6/S2dlJLBbjypUrRKNRUqmU2gVK75qst4qX8zbG+81i+dWOsdmPvmLpq5xkE+QYvQCq\nGaGl71Gpk3/iGcjfGvUWsmGMCJdkq7y+vj5lJD0eD9u3b1ehQ71e59VXXyWfz+P1evm93/s9Jicn\nFWErjWNbWBkrGgXTNKdlpTdNMwOcAXqBzwD/du2wfwMeu/b/zwD/bi7gNSBkGEb3uo98k0Nvu57L\n5Thw4AC/9Eu/REdHBy6Xi9tvv11VBJbLZQYGBlQnIVhck6BPUt0N17mBZm7kekh/G/kDIU4ldFjK\nMOiv6SlPuaZsNvsuw+dyuZT4StrAi4GUUulsNks4HFb7SG7dupUTJ07w4x//mLfeeosjR45w7Ngx\n1fQWFnovtNSOq8d1KRoNwxgEDgBHgE7TNKdhwXAYhtFx7bBeYFx728S116YbzvUlFjyJZVe261n1\ndDb8et+/WiyVOmo2HlH3uVwuZmdnsdlsjI+PYxgGTz75JN3d3UqwlEgk2LJli9rCXlY2ISiFXReS\nTiabZC4aU17L6Q4EzTov6Q1fmhU66V2O5HX5XSchdd4lnU6r7fD0Em899vX7/czPz+NwOEgmk4uI\nQvEETNPkwIEDTExMEI/HmZqaYsuWLaTTaXbs2MHdd9+tNA7z8/P86Z/+KV/+8pfV++V7aXxGlgqt\nVptyXAlLEbD6+fUxNR7/XhOlqzYKhmH4gO8A/6dpmullJluzP7zrqkzTfAJ4AhZ2nV7tOG4WSPGS\n0+kkFArhcrnYu3cvXV1dTE1NEQqFGB8f59ChQ1itVmKxGN3d3YoHkC3q29raFm2c0ugZ6ByD/K5/\nN3r1ZuMKvtQ5Glf8ZhNI/7ukAEWwJSlGi8WiehxIwZPwI1IdKe/TOQZx93Uuw+v1kk6niUajjIyM\nEAwGSafTZLNZurq6CAQCJBIJ/H6/ymrUajW1dR+8IyhrYXmsKvtgGIadBYPw/5mm+dS1l2ckLLj2\n7+y11yeAfu3tfcDU+gz35oEuGioWi8Tjcf7jP/6Dw4cPAzAyMsKDDz6oOjl7PB4CgYBi6iVzYbFY\nyOVyi/aI1Nl6WNysVRqu1Go1FZNLiNLY1kvCAL1YSQ8D9CYvcp5qtfqu3/P5PPF4nGQyyfz8vNrx\nKpFIUKvVSCaT5HI55SEIYSpeUTabVURgrVbD6/WSy+XUuOU+BAIBAIaHh6lWqwSDQcUr7N69m0gk\ngs/nU2lNl8vFY489RjqdbhmE68CKRuFaNuH/Ac6Ypvll7U/fBX7r2v9/C3hGe/1xYwH3ACkJM1b4\nnKY/sLpU5EamIVf6XF2UIxNTahYAcrkcly5dIhAIEI1GVdptbGwMp9NJoVBQbctlO/pisYjf78c0\nzXe50XJ+MRTFYnFROzORQMM7MmIZq97JSb9vYhz0UEP/DnTDUS6XVev5QqHA3NwcU1NTKpMyNzen\ndoWqVCr4/X41VpnoEjYUi0VVYl6r1VTjlLa2NmUI/H6/uicej4fOzk4CgQAOh4Pp6Wk+/OEPq63p\ndbWndHiS3aQaPSG5xo16Lq5XMLVUJme5uaAvDo3c01qxmvDhPuA3gROGYRy/9tqfA38LfMswjN8F\nrgBfuPa3H7CQjrzAQkryf6x5dDcZ9Hg1k8mo+F8mdU9PD/V6nZmZGR544AGOHz9Of38/TqdT8Qmw\noPQT11uYd0njyU5KxWIRw1gQLknVJSzuglSv19UGKrLCi1chq708UOJ9iFGT9+uNVOQ9QtqVSiXS\n6TQul4tyucy5c+fU/hRjY2Ps3LlThT2mudArQfaUNE2TXC5HoVBgcHBQNZqZmZmhv79fcQui9BSd\nQS6Xw+1209HRoRq51ut11aItl8vh8/kIBoMUCgVVYepwOFpk4yqxolEwTfMwzXkCgP+jyfEm8D9v\ncFw3JaxWq3J1hRg0DIMvfOEL3HnnnfzoRz9SsfOLL75IOBzm6tWrfPzjH1crq3lNrCMNTOUcUi4s\nK6asBDLh9X0VpdIynU7j8XjUCmK328nn8+pYISvhnX0qZJWRXpFiEMSNl16IEh7YbDYSiQT1el0V\nJjkcDoaGhnj11VfZuXMnVquVubk5+vr6FJdQqVTUJL548SKJRELtqTkxMaG6NOuyZZn88/Pz7N69\nm/HxcTo7O5W3JSXo0oRG6k2kaUsLq8NN0U9hPV08eTiWK2Za6n2NpFsjZAWUfRhqtRrbt29ncHBQ\nrXDT09OcOHGCnp4eqtUq/f39VKtVPB6PmjCifpSNYQBVHVgsFolGo9hsNtWwRHoaxmIxAoEAZ8+e\npaenh9nZWbVV+5YtW8hms9RqNTweD5lMhvb2dmV4ZPJJS3px8UVcJAKgfD6vVnir1cqVK1cAaG9v\nxzAWJN2BQICf/vSnbN++nUuXLnH58mXy+TxPPvkkt99+O1u2bKGrqwuXy6WuJ5fL0dHRQblcVk1k\nhKgVA+J0OlXnpUwmg2EYRKNR5TGJNyPGWepAmilP3y8jsZawZbnsyEbgpjAKNwtka3hpdhKNRnng\ngQeYmpoiHo/z6KOP8vWvf5329nZyuRzVahW3262Ue5KTr9cXWrWL3NdmszE3N0coFMLv96tJCSgl\noDQYefvttxXxZ5omvb295PN5Ll26xMTEBMPDw6qAKB6Pq4pEr9erPBKpNpSeEPJQJhIJxsfHsVgs\nXLx4Ea/XS09PDx6Ph/HxcX7yk58odeG+ffv4/ve/r0KCPXv24Ha7eeCBB3A6nbz++usUCgVOnTrF\nPffcQ3t7O+l0GrvdTmdnp2rT5nA4lHYBUKGZ8DCSZZBshdfrVRvSAqoIrdWybfVoGYV1hHgfFouF\ncrnM/v37lU7BMAzOnDmjDEcymaSnp2dR6bK4/cY1efPs7CyVSoVkMqn4BnGLXS4XuVxOxebpdJpU\nKkU2m6W7e0ErNjs7y4ULF1Svw0gkwuzs7KJ9Gl0uF1u2bFEkovSAlJJmyRLIrlWRSEQZvb6+PqLR\nKD/60Y+Ix+M89NBDDA4O8vLLLzM+Ps7Vq1f5u7/7O5577jleeeUV7rzzTs6dO8f4+Dj9/f10dnYy\nPz+P1+tlfHwcq9XK0NCQ8gbEOxNPRVKdsot1rVYjFoupIihY6OI0MzOjxE3ZbBa32608phZWxk1V\nELXZIWQgLMT1bW1thEIhhoeHefjhhzl9+rTqWRgKhZQLDe+0l7NarWqfCCEb6/U6PT09OJ1OVSch\n5JlUFLpcLrVCt7W1qYpC2bF5enpaNTAplUqMjY1RqVTUZKpUKqoFnB5aCRkpZd71ep3JyUkikQiB\nQIAjR47Q09NDR0cHd9xxB8PDw/z2b/82fr8ft9vNCy+8wL/+678SjUYJhUL09PTwiU98ApvNxhtv\nvMGdd96pOlP19/fj8/nUVnp2u115C6JudLvdyqPxeDyKfZcCKGl/J63acrmc+j5aWB1ansIqsZTC\nTQQ2uqy4UCiwa9cudu/eTVdXFz6fj3w+z8MPP8zrr7+Ow+FgZmaGTCZDb2+vYv4lZg6Hwyr2b2tr\n4+TJkyQSCRKJBB/60IdwuVykUikcDofqzhSJREilUhQKBX7wgx/g9/s5ceIEjzzyCDMzM7zyyiu8\n/vrrHDhwgHA4zPDwMOPj48zOzlIoFNi6datSEUrGAlA1G263m2QySVtbG8ePH+e+++4DYMeOHap8\n+Y477sDlcpFMJhkYGADgmWeeYXBwkAMHDuDz+RgeHgagu7ubPXv28Oqrr6rUpGz/ViqVCIfDKlSQ\n1KIUQMmeGAcPHmRiYkJ5ObKFfSqVUiSraDuED7qR6sG1QlfbNr5+o9BDIj012Vi1ej1oGYV1hC4m\nGhgYoLu7G7vdztzcHFarFZ/PR19fHw6HQ+X6DcNQfILP5wMWVrVarUYwGGR2dpZQKITNZuPBBx/k\nzJkz3HbbbWSzWbLZLLOzs3z/+99XOoFMJkMkEuHxxx9ny5YtvPTSSzz00EP87u/+Ln19fZw5c4b/\n+q//orOzk4ceeoi33nqLcDiswhrJPugZFECFL+Vymb1796q2ci6XC6/Xy0MPPaQ0E4FAQL33nnvu\nYc+ePWSzWXbt2kW5XMY0TbUtXFdXF+FwmEKhQDAYJBQKYbVa1dZy0kcik8kosZOEAqZpsm/fPkV6\nynsCgYAyVPp3I+KoFpZHyyisM4QT2Lp1q2qlFg6H1dZww8PDuN1uxsfHicVitLe34/F4VCgAC/UN\n4vaK+57NZjl79ixOp5NEIsG//Mu/sGPHDmZnZ7n33ns5fvw4hmFw9uxZtcKOjY1x4MABPvaxjxEM\nBhkfH2dubo5HHnmE7u5uxSm8+eab3HXXXWp11VdW4RSE7JudnWXfvn3AQgFTNpulo6ODqakpUqkU\n4XAY0zR5+OGHefTRR5VGQTa3SSaTxGIxlRGIRqMEAgG6u7tVRiUYDKrQSbIewtPIxjGijdi5cyep\nVIp8Pq+yMWJc9YxRYx/KFpbGB84oiCunp6mux81azbHyEOt9D2XjV6fTyeDgIIcPH2ZoaAir1Uo2\nm8Vms5FMJgEIhUJqhaxUKmr3JFEzfvOb3+TQoUMASuY7NTVFX18fhmGQTqf52te+xpe+9CVCoZBK\nNfb29vLoo49y+vRpRkZGuPPOO7ntttuIxWLEYjEVy0vvBmnqahiG6pgsq6+IqqLRqPJsqtWqKkjy\n+XwUi0WSySSmadLe3s7o6CiBQACn04nD4SCXy6n0qnRiEgGVrtCUdKOkTYPBINPT06RSKbV7VKFQ\nUPdLOAjhZQTynev1IC28Gx84o7DRkJVV3/1ZCDKZLMlkUq2K9XpdkWeBQIB0Or2oeUpHR4faFKZc\nLjM7O8v+/fu5evUqVquVBx98UK22r7/+Oj09PeTzeT7zmc8wNTXF/fffT1tbG4VCgUQiQT6fp6ur\ni9tvv11tzgoLGoeuri7lEYgSUWTTYhzcbrcSNRWLRbxer2riKopBl8ulKiI9Hg/ZbJZUKkUkElEl\n0XKvJEyReyQQfYGoM/VaCzEAdrtdGQvRM0hNR2PvBx0tT2F5tIzCOkLc7nq9zuXLl1XrMLfbrcIH\nj8eDx+Ohvb2dWCymmPNgMKjEPyIVBsjn87S3t+P3+xkdHWVgYICLFy/yiU98gt7eXlKplNpezuVy\nMT4+js/nw+/38/GPf5xwOEw8Hlceh9RMRCIR0uk0Pp+PXC7H3r17Mc2FXay8Xq8yCKKClBoMyZ5I\ndkEnWXUhlWguqtWqKgOXTs3SoFa0BXrNiNPppFQqKa5FL8fWC7TEIGSz2UU1Dz6fTwmbyuXyorqQ\nxrLvFprjljEKSzG8zY67XixVDw/N+zS6XC5GRkbUhrGwEBJks1lFxHV2dpLP5xcp8UTTIKuk1WpV\nFX/pdJp9+/Zx/vx5gsEgb731Frlcjt7eXiKRiCrVfuCBB7jnnnuUtLderxOLxSgWi6ruwOPxMDMz\ns6hnoc1mUzwGvLMJrHg04v2Ie14ul1VYIqy+TOzGiScTXwyGTGAZnxCAUlZtGIbSSoixkTGapkk8\nHldeg2Qi6vW66jshknHxUMT7KZfLq+qTcD2FeM2gC61WUsGuBfr49OyX/nc903K9Cs5bxihsNqRS\nKV577TUGBweVp1Cv19X2cZ2dnWoFl5VO38ZN4m6ZFLKD1ODgIFu3bmV0dJR4PE5XVxdvv/02W7Zs\nURvPxONxNYZwOKzcaJfLhcfjUQ+McBSNXY/FXfd4PIvqKmT/CQkNpOpRVJCyGotUWYzEUg+keANC\nEJ7ZfO0AACAASURBVOqZAZvNpohGMRjFYpFMJqPqR/Sybyk8m5mZIZFI0NXVxfT0NOfOnVMkZAur\nQ0u8tEGw2Ww8//zzHDt2TKnvRBwkhkAYdSlykhJise4yYUXD4PP5VOm1EIyxWIwtW7aoEuWJiQkV\n44fDYZU5cLvdapt3QMmIG0t0peGJTvYJcScrlNQiSAwvcbysXOIRwOIWcs0yAHrn6MZz6WXdci65\nl/Keer2uQq5cLofFYqG9vR2bzcbs7KySe7dSkatHy1PYIEgsOzIywn333aeYcJmcksuXh1y8AVk1\nxfWTCaa3Vrfb7WoHJXEdPR6PSoHCgsueyWSUJFp3ZYUfkEntcrnI5/PKQ5AxSKig916QXgXiZejl\n2GJIhEBshO6J6CnPxqIl8QTK5TJ2u12RrEJu6mlGGZNkLmq1Gj6fj0qlwtTUlCoia1RqtrA0bvm7\nJKtbs52Qruccq6lKk4dUyo3tdjs//vGPSaVSdHR0qFSlVBLKypnJZEilUuoBlyIoPUMhk9dut9PW\n1obP5yMSiSgS0uPxKBdaioi6uroWbacmikURHgGqtkBIQJmkUt6sGxBRUMpKXiqVlMcgYYMYDYF4\nAnrXJ73Zq9xT4TvEIMk9kGpHyeboY5QmLELSSgajWq2STqdV0ZUYOL0t3XJYqtlJY9OT1VY8rqUy\ncrXj06FzDTfyWbe8UXgvoT/kIkAyTZOxsTEsFosixCRtabPZlKpRCpFEnSeTFRZ3ZpYV0u124/F4\n8Hq9BINBfD4fLpdrUds2WbGlfkDPFuj9EnQCrl6vK8WgTCY9C9Doychkk/GJ9yDGUc4lIY2ct9lE\n0zeJFc2BEI+lUknVhEjmQUqsc7ncoq33SqUSqVSKS5cuASwKW1pYGa07tY7QG6xkMhk1aV9++WVV\nDSirsqQGK5UKmUyGeDxOIpFQOXipRNRXbDESkueXz5KJKxNeTx3qbblkfDIp9Q1iRSgk75e4Xdx3\n8QwkW6BnGkzTpFAoqAkuvIkergh3IspN8VwaPRYRQukiJql4FGPk9/uVqnF2dlYdK9LxarVKPB5n\nbm5OGa7WRjCrR8so3CB0N06PraVFWiwW47XXXuPtt9/GYrGQSqWUq9zT08PQ0JBK/cnDL2k13VPQ\n43G9+Sqg1IDStk2OA94VqwOqw5JuGHR3OJPJqJVexEZutxun06m8DSFC9e5MejZDGqTIv/JeyWbI\neOU+6YSqXLcYB0mB6tmGYDCoqiI9Hg+AypZUq1UuXbqE3+9X93E9XHc9bNBDguvxQprt0XEjaGy2\nKz/i/cH1p1ZbRmEd0RjryZdSq9WYn5+np6eHq1evKrVgZ2cndrudjo4OCoWCEjiJCy4uuayYumve\nGCI0/l/cep2glIxHsVhUW9vrikKZ6JICBNTnZrNZpcSUrIWemZCVXBcZ6aSj7onIvZG/iQcgnyn6\nBD1tKp2uRTmpZzvEyMJCwVY6nebEiRPKuMj5W1gdWkZhHaG71PK7EGDPP/888Xicjo4Ozpw5g8vl\nYmBgQK28eo5f75os59QbngpR2CgS0o2HvrmqTEp5v9VqJRQKKVGSHnOLkdDz+rKPgqzOjR2EhRTU\nVyz5POEuxHBIsVIjWSfCJL3kV/gTeIcoFkMk8mopkNKbyn7nO9/h8OHDi8K5WzUlqZPg+s+NcCib\nxijcqEu1FMOru93rQTY1umk6mqkqpV+gNDqVY9LpNIFAgJ6eHqUkzGazao8CuQ59MovBkYe/Maxo\nNmH1B0TPQBQKhUVFW2IsZByGYajQQTwHUV0KMSqTX9cViEHTeQ7hQMQLkbHIazJGMWLCpwCKqJTr\nkhZ2ItQqlUpkMhm1f8To6Cg//elPF5VJC5+xViw3ycQQL/VMLIdGFeL1jKdZNmyt52vEpjEKtxok\n9hdPoVQqcfLkSTweD93d3ZTLZebn57HZbOzfv1+tqsViURF6sq+C/C6QFVQmUOPDKDyBcAxCDgqE\neJNJJvJlWYkl9hfFohCAolwUr6CRv8hkMqoRrL5PhKQtBRIG6SIp+XwxNvqWdqZpqs1kvF6v6iIt\nhkOMXLlc5oc//KFqX6dnNlpYPVpGYYOgx+WwsNK9+OKLnD17VrVjk4fc5/Op7kI6aSeTVv4vBkCf\nYPoq3agDkAklE01akon3oRsg3WiIQZLjpHBJXHx4p+mKriMQUk/GrLeGF09H1w3o90jXj+gpTp0T\nkfsh6cm5uTnVWGZubo6nnnqKH//4x9jtduLx+KL70DIMq0dL0biB0Ceb0+nk0qVLjIyMsGPHDgDV\nS0HkxzIByuUypVJJpe/ELZf8vGgFJBUH7xasyESQ1V68B1nhpfJR3+hFxilbu8E7fSdlQko4IftB\nCn8hME2TfD6viEdZsSUFKxNfD1vkuuXckm2Qv0uYIoZESraTySTT09MkEgmef/55nn32WbxeL4VC\nQfVzWG/h0AcBN61RaBa/C2QiNfvbRpbONp632Yr9zDPPsH37dgKBgGqEKs1VAVUDIRxBvV5ndnZW\ndSYyDEMpFKUyUqorYaHBixRY6auk1DTICizKST2eT6VSisiTiSzH6o1kJYyQZizyOeJRxONxZYRk\nAuvyZN2A6eGPyJFF9yDGUXbmliyJeFdf//rX+Yd/+AdlZKQbkygi5TtpplFYbVixlrTecsfqf2vG\nSa0GG23gWuHDBqHxyxfXOZvNcvjw4UVbmVUqFTo6Oha5yvpGrlIFqOekBXpnIlllxUMRPkF30WXl\n11dRmcBSBi1uvRgRnZcQ1aR4DaZpqp2thNwzDEP1kCyVSuRyOXUtEho0So6Fe9HTk3KsZFyEW4CF\nsCWVSqkwR+6lTmC2sDa0jMIGQk+tSSzscrl4/vnnVRflcDhMqVQiGAwqNz+Xy6lJUK/X1c5J8sDL\n6q43KNE/Syaarm0Q11smZiaTWZSxkDSf8AJ6YZTuPYhBkfPL+4XUlIkpbn4mk1FbxmcyGXV+MWLy\nORKSSEpWuAghQQuFgvKgxNAUCgVCodAiDqIZR9LC9WFThQ/6A70SGmPFZm6Z/reNEq80fq4+OfXX\n9d2L7HY7r732Gu3t7XR1dZHL5QiHwyocyOfzqk5Cmq6I+EeP43Xhj0xOqVqUFVQmnJCKeoMTWFA3\nSiWk7BVZKBTo6OhQakNJEQo/0FiTIXyHLriSLlOyR4XX6yUcDqsmM/COXLuRKNWNl/xN9ryQPSKk\n14Qco+9kJWNe7rtay/e7nNt+vc/tSud7P7GpjMKtDHm4ZfK88sor7N+/H7fbvWgnaX3vROEUZGJL\nGbXetUiHTEoxHFJjIfoCqbOQdJ5MKiE1HQ6H0klIDC/iJtmkRjgN6b/YKCGWEEg4iLa2NpLJJIlE\ngnK5rNSbEvLooZGuc9BTmcIxiGDJMAxVEi1hxlomfAvN0QofNgjNVgRZud1uNydPnuQv/uIvuHz5\nMqlUCmCR2y0buWazWaUZEDdZb98mkNclZy9uv2wpJ63VxZjk83lFVoqrLYVP4hXAOxvPWiwWVbot\n6clEIqE2a5GNWtLpNDMzM6pEW+oghoaGSKfTHDlyhJGREaanp0mn0xQKBVKplAodJFyAd0hhq9VK\nOp2mUqng9XrV/3UZ9EZ6gx80bDqjsJzyUA8HGn90Nnsj0Swk0dN/eh2CQAg+eKfNmOwn+dxzz1Gp\nVJicnFTkn6yQwuzrwqJGAk1WWxmLeAK5XE5NVOlVaJomsViMyclJksmk6lEgugExAG63W3kJpVJp\nUV2GLiqS9Km0cb969SrZbJapqSnVvTqdTuP1enE6nXR3d9Pb28vRo0cZGxtjenpata8X3kCqPuWe\n6d+vpHDr9Tpzc3OqiEoP2cQ4iqFYi9JwKTR77pqde6XjblQ3sZZrup7Pa4UP7xPkC/3mN7/JxMQE\nn/vc51TaslgsKn4ln8+rkABYlF4UFaR84ZLRkCrHbDaLaZqK6KvX6/T29jIzM8PY2BgOhwOPx6P6\nOoihCgaDqp5AmpqIQZJqRRErTU1NMTAwQDKZ5MKFC1SrVaampti3b5/qMGUYBslkUvV8+NjHPqZ2\nqdq2bduimgoxBnq9hBhFwzAIhUKq1Lxx4m/WGP1mw4pGwTAMF/ATwHnt+G+bpvm/DMMYAp4EIsCb\nwG+a5v/f3rsHR3qe9YK/t9Xq+/0itaSWNKO5OHbsjC/B2JnNkmXBlfWSA6kKm5ATAltUpVgoCEUt\nB6itWrJUKAoK9sCpEyAJbFU4lUNCEicxNiRx4iR2GHs89tieGXvuGo3uUqu71Ve1Wt397R/dv0dP\nf27NaOy5aBw9VSq1ulvf937v5bn8nptVN8a4AfwjgAcAZAF82LKsqRs0/tuSCNBx4584cQInTpyA\nx+PBb/zGb8jhpN/f4XAgk8lgYGBAWrMR9KO0ZyXjlZUV6bYMANPT0+LyDAQCMMYgHo/j6aefhsvl\nkk5RTFRiMNCBAwckRgCARDayKMzi4iImJydRKpXw8ssvo9FoYGFhAbFYDPv374dlWV29HFj8hUlh\njzzyCJaWlnDmzBkMDw9jdHRUJL/f7xfNh1qXy+WSWhO1Wg3ZbFbMH9KuG/L60HY0hXUAP21ZVtkY\n0w/gR8aYfwPwuwD+s2VZXzLG/B2AXwPwt53fecuy9htjPgLgzwB8+AaN/7YkLdGojlcqFYls9Pv9\nyGazWF9fl1qOGvwjvsAgImIMVOMrlQqq1SouX76Mer0uBV8J5hlj8M53vhPnzp2T3g/EErLZLJaW\nlhCJRODz+aTmAaU9MzfPnz+Pl156CUePHpVmNGNjYxgYGMA999wjrfCYdq1Dn9fX16ULNQOvqAWQ\nUeoKz9pcAYDFxUXMz893AZo6tmGX3hpdlSlYbT233Pmzv/NjAfhpAB/tvP8FAJ9Cmyn8fOc1AHwV\nwH81xhjrbQQPa5twq8faSpXVPnRKQR7cWq2Gr3/963j00UfFdIjFYlKYJJPJwOPxIBgMCkDImIJq\ntSoqv8vlwuTkpAB88Xi8qysTAKTTaczMzOC1117DpUuXkMlkJDaCYxobG0MqlcLy8rKkQK+vr+P1\n11/HhQsXEI1GMTAwgPe+9704cOAAxsbG5GDTxUkvwdraGoC2iZNKpSTYaP/+/QgGg12BUDrfQ0eD\nEtsIh8O4fPkyisWiuE11gth21/Ct0lbuRfu1NUZmT2y71vtcK+k53C5tC1MwxvQBeAnAfgCfAXAR\nwKplWUy6nwUw0nk9AmAGACzLahhjCgDiAFa2Paq3OVGqEazk62q1iosXL8LhcCAYDKJYLEq+gNvt\nltBf9nWkllCpVNDf3y/dmQnCpVIp+P3+rnoKQFs7CYfDuOeee+B0OjE3N4eJiQlRyR0OB44cOYKj\nR49iaGgIzWYThUIBU1NT2L9/P0KhEPbt24dgMIjDhw/jwIEDgjloyV2pVLqiFxlGTY3I4XAgFouJ\nW5bPpdOedUYox0+Txn4obwdM4XYY47aYgmVZTQD3GmMiAL4O4M5eX+v87vXUb2BTxphPAPgEgC29\nDW9XsnNtXSPB5/OhVqtJD0YyDbr2LKud7ahRd7ryarWalHtLp9NIJpNd/RcJYjJcORwO46GHHsLY\n2BhisRhmZ2dRLBYxMzODCxcuCDPweDxwu90YHh6WYKtDhw7hnnvuQSKRgGVZglfQW+LxeFCr1YSJ\nra6uolgs4uDBg/KsLNfG+ANqKVpTsJeVazQa4kmh9rPTSWsHeq/vVOX5mmbVsqxVY8wPADwEIGKM\ncXa0hTSA+c7XZgGMApg1xjgBhAHkelzrcwA+BwBOp/Mtzw4nWEfrkXRwy1bhr2/WFt2K8/dyU5EY\nr6CLj7RaLYRCIeTzedRqNQQCAUSjURSLRSSTSQkE4qGg646Hi+ZEf38/HnjgAbmfxiPo449EIqjV\navL7gQceELWc11pZWcHU1BRmZ2dFE/F4PNi3bx8SiQT27dvX5Z1gVCMLniwvL2NxcRG5XA6XL19G\nPB7HRz/6UTQaDfh8PhlfLBYTLYNZnARPS6WSFLcl2FgsFvHv//7vErvBcmwEb99MeLMdoNQH90qS\nfavPrkfkY6/xbOX+vNbxXY22431IAtjoMAQvgJ9BGzz8PoAPoe2B+BUA3+z8y+Odv5/rfP702wlP\nuB5EiWiXIHT5HT9+HI888giSySQ8Hg/W19el9TsAJBIJ6UPJyESfzycdpQlErq6uitlBlVs3XSVo\nSc2EhU+pRezZs0euzQIwTKvWIdMulwuFQgELCwtYXl7G8vIypqamsLKygmeeeQaPPPIIPvrRjyIS\niUhNR4KOLCLL+dDxJlpLYIs9Bl4RhLwR2oJelx/HHIrtzOgQgC90cAUHgH+2LOsJY8zrAL5kjPk0\ngJcB/EPn+/8A4L8ZYy6grSF85AaM+7YmcnwCjdoMAIBjx47h0KFDUsZ8bGwMhUIBqVRKsgk9Ho8k\nNAHoSqemFrG6uorZ2VkJWlpYWBBtY3BwEOVyWbCJUqkk6ny1WoXf75d0aFZiSqVSWFlZkXvOzs6i\nXq9jaWkJCwsLAi46HA4sLy+jXC7jd37nd3D48GFxfQ4MDEinaGp1BDYpO2juaG2I6dfHjh2Dz+cT\n/OFGeBt+3GXYdrwPJwDc1+P9SQAP9ni/BuAXr8vo3nhtAL2jCncCLrHdzWQ3cfRzhMNhNJtNfPe7\n38X73/9+wRIYZMSDx5LplPbBYLAr76BcLiOZTMLv96NSqSCfz+Pxxx/H4OAgRkZGUK/XEQqF4PF4\nJPmpUCggFAqh2WxKf8pYLIbV1VUkEgmcPn0alUpFDujGxgZmZmakV+WDDz6IV155BW63G5///Ofx\ny7/8y3j44YcxMjKCUqkkLkgGXGlwkgec7tRKpSKJWkwHL5fLwohoNmhNwa4uv1k13h6N2ivJ7WrX\nuJ5kB1S3e9+reci2otsDqXkbEhfXHolHtXpmZkY8CzMzMzh48KBUO6KtTY8Ck5VYdblcLncVcCHw\neP/99+Of/umf8PjjjyOTyeCXfumX4PV6MTs7i8HBQXETcnyMMJybm0MgEJDrLy0tYWlpCfF4HO95\nz3sQiUREonu9XgwNDeHuu+/GoUOHpOxcMBgUlV/ncpAZspGLvj8Dppi3kc1mpeAtg7vK5bKYVbt0\nfWiXKdwC0rayvY4gQb1Wq4Xvfe97+PCHPwxjjNjzrMnAQ+jxeCSikW4+j8cjpdwYCu33++Hz+fCh\nD30IP/VTP4Vf/dVfxdLSEvr7+/Fbv/VbWFtbE+0jGo0in8+LFyAQCKBYLCKRSMDj8eDgwYOIx+Py\nXqlUgjEGS0tLqNVqWFxcxMc//nEkEgmpvOzz+boqP+uITnaXYtXlYrEogGS9Xke9XkehUJDSdazk\nXKlUxGW7S9ePdpnCLaZemgIP0dmzZzEzM4NoNIpgMIiBgYGuAiW0ywGIWm51ag8QnFxbW5P8AYfD\ngVQqhfX1dTz22GMol8uYm5vD0tISxsbGkE6nsb6+jmAwiGAwKHEQXq8XhUIBsVhMsisBIJVKiWuw\n1Wrh4sWL+MAHPoAnnngCd911l7R3i8fjcnB1lWgmXPF9XQKepg1zLVhUhdmXBFFZkGaXrh/teKag\n1WxNVG3t9h+w2UvAfp2bMVb7WEhbRbXZ0W2aA6zu/KMf/Qi/8Au/IJ2pGfgDQDIYeeipbdRqta7i\nJxp8dLvdSCaTyGaz8Pv9iMViOHHiBCYnJ/Gud70LiUQCwWBQvA50N8ZiMamP2Gw2JcsynU7jk5/8\nJA4fPgy/34/nnnsOhw4dkjUjjsBMTJ3irRkFtQXmNzA8ulQqYXl5GcViUTJMfT6f9Hygx2Q7Yc5b\n4U7bxaO2a5vfCDfhm7nGm8U8djxT+HEjuuWcTidyuRzq9TqWl5fh8XikSQuLsmivBSMXdZYh3X3s\nxEwvg9PpxMDAAKanpwEAd911F2ZmZvDqq6/i+eefRywWwx/90R/JmBj/AEA0lC9/+csolUr40Y9+\nhImJCczOzmJ0dBTDw8OwLEvKvYXD4a6GuCwYW6/XpSakDotuNBoIhULwer1YXFxErVbD0tISNjY2\nEAqFuoQBcQniD7dDtODtQLtMYQcSvQyxWAylUglHjhxBKpVCq9WS5CTWQySoqFvLsRybruHIGgX0\nYpTLZcRiMcE03vve9+LFF1/Exz72MczPz+Mv/uIvkMvl4PP5sG/fPrz00kuivt99993weDx49NFH\nMTExgZWVFXg8Hul2NT09LSnRQHe5Nc2syAxqtZrUkmDTGQYwsRgLG9Uy4Ep3295lBteXdjxTsLsh\nbzXZy3+91ai2Xt/TSVPhcBjnz5/HkSNHMDw8LMyCATwMYmKpNq/XK6HMrFjERCftAqQXwePxoFqt\nolAo4M4770StVkMymcTBgwdlbJVKBXv27JHiLel0GplMBoVCAcPDwxgZGUGxWJTaD5FIpKsgDDUY\n3psuRt163rIsFAoFya4slUpYWFjA4uIiSqUShoeHBSsZGhpCJpMRsBV4Y/OdayF7mrYGfrdatzdL\nV1r7K5mfb4be7PV2PFP4cSRdkJVA37PPPouHH34YrVZLcgUASD1HmgkkagfEJ1hZiQd1Y2MDg4OD\nEjSUz+cxPj4uQCW1EZfLhWAwiEQiIUVTs9ks0um0NIxdWVnBwMAAzp8/j42NDQEpdeYiAVRjTJfL\nlNWdWSqOfSympqZQKpUwPT2NWCwmNSS50ePxuJgob5d06RsZ93AtQnWXKexQ0pKKeREnTpxAKBRC\ntVqVOAVgkwHoSs887JVKRVKS+f2+vj5Uq1V4vV40m02prpzJZOQA+v1+CUkOBoPo7+9HNBqVSEIW\neikUCmi1Wjh37pwwg2Aw2IVt6EYyHo8HgUAAq6urUmeyXq9LyvXa2pq4Nl988UUEAgH4/X7E43F4\nPB6kUilkMhkEg0GEQqGu/pW3O11Ng3wrdC3Xu/VhgNdAOkLL/sPPCdJRfdZt1t8s6dRje13G600M\n8NFdm1nh+cyZM7h48WJXEVaWg6cE1p6Her2OYDAoUlb782kKeDwe+P1+DA4OSvoyw61pxjAJq1wu\ny7VKpRJWV1fhdDoxOTmJWCyGUCgk9RhZCo4aDM2Kvr4+LC0tdT2z7ilRKBTEQ9Hf349kMoloNCox\nFGNjY2g0Gsjn84hGo1JMVjM8vtbr9mb3gN5bb+U6W13bvodvFO2aD28TYr8FgnRMP87n8xgeHkY2\nm8XIyIiEBbOZC00Guu2YzMRKzIwRACDVox0OhzS6bTQayGQyUtdBg5eUynSHulwuKd3G6zcaDam7\nyEQsp9MpPS+MMdK0hY1dyPhKpRIWFxfl/g6HQ5K1AEjsw8DAAJxOJ/bs2YNXX321K4Fql94a7c7i\nDiPN0Vn3gBKXCUtHjhzB66+/DqfTiUwmIyXV2aaNqjsLuFJ919dnEBBBU5ZtZ2hxLBaTezcaDVSr\nVWEOxrQbx0YiEcmtADZBWHoKCCL29fVJK3m6VRuNhpR4dzqdKJVK0pticnISJ0+exMjICFKpFIaG\nhoSZkNmUSiX4fD6USiWEw+EubWGX3hrtzuIOI80UdH9HtkvTYb8zMzNotVpIJBIoFAqCnLPgio4Y\n5HWJPdA9STCRAUQOR7sj9crKCorFouQk8BDTjNBdoyORSFe3agYZMbuyUqkIpsD6Doxl4HibzaaU\niGdhmEQiIaYDNQaaLiwYE41GEYlEdvMfriPdVubDzXRPUjrbpY/97zeDfG/l8gI2E5GYr6ALs/p8\nPkH1Z2ZmkM1mEQgERFqy1RxxFUpt2tk6jqFYLEpkIOMZGDxETUN7K4gz0DtA7IPPwRRs3c5OaxbM\nZ9AVmbV5UalUkM1mMTMzg7W1Ndx7771IJpMIh8Py7JVKBSMjIzhw4ADm5uYQj8cRi8Xg8/mwd+9e\nTE9Pi1nSq9jOVna1vRpSryIr9ujZG0120FG7TfX+uRFYxG3FFN4upBmCncloV6LX6xU3IwFA1h4A\ngJWVFUxPT2N0dFQqPTMRilKZ6js3EEE/3fKNQB9LotEVquMx7JoBsNnRSheQ5TXsjW1pJhCTWF1d\n7aoHUSwWUalUUCgUEAwGEQ6HkUgkhDmypkI+n8fo6CguXbrU1ZyWoOTc3NyWbsqdEuuy02mXKdwC\n0gxhqwAWZkpSO+ChCgQCIvErlQomJyfhdrsRCoVQq9WwvLyM0dFRAJAuTWQiPPiU7Dqugd+h7U4c\ngpGTDA4iA9CahI5poFuUTIHMyO/3o16vS90GBjHRVMjlcpidnZVw5mQyKd4P4hocP/MwyJT6+/ul\nMIy+/1bzvktXph3JFOyqdS+XzZX+7hXJdTUQqpdZoCPctvN/203G2ap4p3Z70X7m5k8mk1hbW0Mg\nEBCUvr+/H3Nzc6JFsOFLoVCQpq2UxKyFyCQpegkASMIU07D5zAyQ0u5d1kxgyziv1yvqLL0cxD/o\nsWBuRr1eRyaTwcrKCtxut3S4Xl9fx+TkJJrNJhKJBNLpNOLxuMwne1syPiORSOC+++4TvIQMrVqt\nYmRkBPPz87Ie1Frspdv0nrInpWn1XK9pryI/N4O06XIt93yzcQ+7QOMtpF4LTClOic5syWQyKdLd\n5/MJ8s8OTCsrKxIZmMvlpBw8Q4qr1Srq9XpXyzliD9QAnE6nMCGfzyd1Gdgolgef36NmQIZBDwm1\nBqfTCZ/PJzkWBCjJLIwxyOVyuHTpEsrlMvx+PwYGBjAwMACv1yuMUccHMLV7cHAQlUpFzBXWVejr\n68Pw8LAkjREj8Hq9b2D8V4p7uRmxAzeTrgX72pGawo8D6Q2nX7MoCg8e4whYIo39HEqlkqRNr62t\n4eLFi3IgstksKpUKBgYGALR9+wCkkjPwxgrXjF/weDzSnYl5BfpgEm/g+9pdWq/X5Tv0MjDRiVKX\nzWdZUIY5E16vF8FgEKlUCsFgEGtraxgcHBQMhTEXHGc+n4fP5xNgkzgJszj37duHTCYjXa2pDXEc\nOsdhl7rpbcMUuMg6mYjv2+lKJb3t712LtLiSibKVOcIDSPehy+VCPB4Xdx5DjjU2wFBkVmAqVhFr\noAAAIABJREFUl8vI5/M4duwYRkdHsX//fhSLRbRaLdx55504efIk3v3ud0vREh5g5hIwD4H4AeMT\n6GbUtR+JflMzICZAcDMWi8n8skUc3YcnT56UHIv19XUsLS1heXkZxhgMDQ3hvvvug8/nE1OJna+S\nyaRgF5wTMhYAMnfUsljSnhrO4OAgqtUqSqUSWq2WlMi312GgOUUz42prfyMZynZqMlzL3tzNfbhN\nSNvtdB9SXSfgR28EpSTjDwiqJRIJ1Ot1RKNRWJaF06dPIxQKCRBZLBaxd+9eFAoFrK+vSws5Mk6G\nSmszoFarSSFY2u1UvyldteuOYKDb7UYul5P+DDyUMzMzcLlcmJmZEdcitZn19XVEo1GMj4/LM9lr\nQQDoAhoBYH5+HmNjY1haWupSjZlxqQWD0+lEKBRCLBZDsViUuaEmRq2pF9Pe6ZrEdrNxr4V2mcIt\nIL2Q7H3QbDYRjUYRi8UAQCQsEXxK69OnT+PgwYMAIAlCfr8fly5dwvLyMoaHh3Hx4kX4/X7cf//9\neOmll+R+e/fuleKosVhMkqWolTCwieAhgK40Z93fsdFodNVbBDbrQPCw83ez2cS5c+fg8/kkLHtm\nZgYAMDAwIMVZAoGAVKgmaMn7U/Xf2NjA2bNnYYyRKkyMlgS6DwLrOZRKJfT19WFwcFAa5lILoRlG\nrcF+jR9HprALNN5iYihzKBRCNBoVaaxzHvg9h8MhbjuPxwOv14tIJIJoNIpkMikYQqVSQSaTwfnz\n53HvvffimWeeQbFYxOLiomgdLH+mNRW697iZqFKTGWgVne5ABlc5nU4sLy9jfX0d5XIZuVwOFy5c\nwMbGBi5fvoxz584hnU6j0WhgcXFRAFTGI9Bk0clsxCo0A+rv75celTSDtDlIDaHZbErEJImmQiAQ\ngNvtht/vRzQaFfxGM7gfZ9qRmkKvzEc7R6T992aoV9ef64006wAaqqiUeATkmGbMTEV6A/h93WiV\n3ZiDwSAuXryIffv2YXR0FPV6XZKFyDj6+vqwtraGTCaDXC6HoaEhLC0tSTJROBxGLpeT4ivBYBB+\nvx8ABNTTzIimC9O1WcWJQVacv2azKW7DQqGAeDzeVdOBwF+lUhGtZGhoCLFYDG63W2pCsqoSNSia\nKexiTTODACw9DSz1xr91MBW7WGmMhPkfbM/HjFMyHZpFOj+E5hPdszeKtquhXMmr8Ga1nB3JFN4O\nZGcymrkRPKRLkRtxdHQUjUajq4EsYwtqtZqUdz9+/DjuvPNOzM7OSl+FgYEBhMNhjIyM4Ny5c1Ls\nlP0Rjhw5Ao/HI3Z1OByWg81kJ4ZEsxELDyXLsAPoYlQ+nw/FYhHNZlPCmGmTZ7NZlMtlTE1NYXJy\nUrpaE+wbGhrC+Pg4ksmk9M0klgCgK4uT2AbHl8lkUK1WEQ6HhTHQfav7StB8YIEYMlag7ZEhIBmJ\nRCS5itfIZDKo1WoyN3Z6uxR26UW7TOEmkY4/oHRiIVVjDLxer/xNiQRsRj3ycFITOHLkCH72Z39W\n3II8xCzwSjAtEolgcnISiUQCr776KgYHB0Ulp/1Ou9/j8UglZ+1epFrPOAemdOvPPB6PJCotLy8j\nlUphbm4Os7Oz0vvSsiyEw2E0Gg0MDw8jEokgHo8jFArJdXhP5nQQOGQLvVar1RXDQI2KUpGMg4lc\nLCTD5C+aQeykrSM5dQJaf38/stmsaErUEKi56HJzbzfacUzhSklPlELbcRXxezcaKLKDhiRucKrB\njN0nDuDxeMSvzi7TlmXJBqTE1IE03JTr6+s4ceIEBgcH8cADD4gE5CE5cOAABgcHYVkWVlZWpFfD\nxsYGjh8/jgMHDqDRaEjUYDqdlihEHhyXy9WVEs0sTJocxCCMMVhdXcXCwoLUhFxeXpaKzFTlecDr\n9TruuusuDAwMCJagYzIYp8HDyr8pmZ9//nm43W5pfqMxBHukKLEQANIbotFoCNBIzYQxD2Sq1Ibi\n8Tji8biYFaurqzDGSDMaMrAblZh0q2jHMYXbmTRWoTckD5nX60UgEAAACVWmhG61WqIlkLnoXAUe\nQmoK0WgUP/zhD3H33Xd3qf7ax75//36RdKzEdO7cOVSrVaTTaam5yIpJ/C7BPnodGGdQLpcxMjIC\nAMK8WGMxl8thYGAAhUIB1WoVy8vLOHnyJPbs2SP3ByDekkgkAq/X21VvkhoHx8pkJ2o1pVIJ8/Pz\nwvDssRO8hk7u4n0JTHJuAEiGJrUJAFJFmtGYDodDTK2lpSXx2HBdSb1C629X2mUK15H0ZtBAFdVR\nRgYaY6SKcrVaRSAQQD6fF3WedjSTjvT1qPKGQiG0Wi1kMhkMDg4KUMgiKcwjCAQC8Hg8eOGFFxCP\nx2FZFi5fvizAIHs1ApDaijzEPFQLCwuC0s/NzXVlVtL74HA4MD8/j5mZGZRKJVy4cAGFQgEjIyMS\ncp1KpTA4OChaRDAYFI1Kq+Q6GYvmA80vPc/UmhhjoZkwsFlOzuPxSHwC/6/ZbEqkJ9+jFmRZFmq1\nGur1umgkbrcbw8PD0oCG5fAqlUqXALDvg9uRdhxTuNKE6s96JbHo15Qk263Gc7Vkpl7ZjDphhoeJ\nqiS7NwPA+Pg4qtWq1C5kjADDlD0eDzweDyKRiKDzAOTA6XEAbWmYz+dRr9fx+OOP4zd/8zfF80CV\nNhqNSucoy2oXMnn99ddRqVTg8/kwNzcHv9+PJ598Ej/5kz8p7sgDBw5IIVXa/rTPmda8sbGBfD4v\nqdELCwuo1WqYmpqSRrDJZBLBYBCrq6tiKu3fvx+RSESKrup6iszr0G3kdHZmf38/isWizB3NLb/f\nL6XltUeANSgZZcnoTB29SFCX7lAGcjHCk54KaizU4kZGRiSeZGVlBaurq6I5cR9SgyLz5E8vz1cv\nsoe+8/+3Sgu/nrTjmMLtSFxASixKYZfLhdHRURSLRZE4tMtZmYhEhJ8RfjwcmnQQkW7pNjc3hz17\n9khpdtrjXq9XXHSjo6OoVqu4cOGCNJM9evQokskkvvWtb+Hhhx9Go9GQACJWg56fn8fw8DDm5+fF\nm8BxsMfk4uIizpw5A6/Xi+XlZYyPj4v7ki7GZDIpSVbRaFQSpvjszOGwF3fRh+iVV16R1zrsW8dN\n8IBXKhVEo1HJeeCBonZBE4lRl9RIaEroQjEsDgMAyWRSSsp5vV6MjIwgkUhgeXlZWunRDUumTNrp\ngVCkXabQoe3kLfQiHUNBdbW/vx+pVAo+n09i940xooazPBmBQwKR7LHAAiR2YoYh0fRGoyHuRqZN\nM7eBICBbwNOHz96MBNtcLhcymQxOnTqFbDaLV199FR6PBwMDA4L0f+Mb3xBAjuHHltXuFTEwMIBy\nuYxQKIRCoYCDBw+KhO7v78fw8LBEarJJLpkAvSA6oalcLgtDYJ3HtbU1XLp0CWfOnEEqlcLi4iL2\n79+Per2OcrksGge1IpogzMqklsC5AdDFdAns8rt0CZNYx2JtbQ3ZbBYDAwOSrk6gdHx8HOPj41hd\nXcXKygoqlYq4dslwbhezYjei8ToSU5qTyST8fr/0bQTaTIeAHnMVqFWwGGk0GhVPwVZShRWZmBsR\nDAbx8ssvI5/PCxahow77+/sRDAbh8/kQj8dFYgPtHpL5fB4HDx7E6uoqIpEI8vk8LMvCmTNnJCqy\nWq0ik8lI8pTP50MgEMDExISM3+/3Y2xsTLQYtrQnrsHIRa1CNxoNKdEOQNyWnDMyn76+PiwsLCCV\nSnUBhzTTGIwEQEKW6fbVdSmoSRE/0NWtOSadUEfGytd87kwmA4/HI94aen1oto2OjmJiYgLpdHrb\n5sJOom1rCsaYPgAvApizLOvnjDF7AXwJQAzAcQC/bFlW3RjjBvCPAB4AkAXwYcuyprZ7H0rIa7Wb\n3qpqpmvg9bqW/hzYNBm4AV0ulxwOSnMmN7lcLqmcxHgDqpgEu3Q0oA6Y0SHHjBXwer3I5XJwOBzI\nZrOYmJjAxsYGZmZmMD4+LpF8LExCBsFOTyzhTtufOQSNRgNDQ0OoVCpdRU0Yhg1A1PNyuSxgocPh\nECSf88dgqnA4LJ6GVqslLj/tKaFmQBchJTVVdq/Xi5MnT4oHR0d/BoNBYVj0nrBHBLEZnavBOpI8\n8LqNPTUXnVbN36w4TS0sm80KwyGjYeEaulhZc2J1dVW0Fr2vtxuNqL0dV3KzXy9N5FrMh08COA0g\n1Pn7zwD8Z8uyvmSM+TsAvwbgbzu/85Zl7TfGfKTzvQ9fl9HeItoqFduy2hWR/X4/QqEQQqGQYAOU\n6PQ8MCuPYBelbrPZFOCMqiZVWTtRzdalxxwOB+bm5vD9738fH/vYx7CysiLNaKn+s8QZ70F1/vz5\n81hYWJBDRFSetr/T2W49zxLqjB9otVqIx+NoNBpYXV1FqVTCxsYGIpEIAoGAJB5FIhEpz87uUTws\nDBbSoeAE+Mg0mQClE68Y2QlsmlOBQADlcrkrxZtMkLkRWvvSmIV9jRkNSbOGLmDLatemLBaLEmzV\naDQk+IwaA8FLMhJqZ+zXQY3uRoZIv1XaFlMwxqQB/K8A/gTA75r27P40gI92vvIFAJ9Cmyn8fOc1\nAHwVwH81xhjrdjGoepD9gFLK9ff3S2UhqpBshMJuStz0GxsbkvBEFbtWq8lBAdAVwWevCwFsShaC\nZgz9ZQmyl19+GQ899JAcCpZB4/fpYhsaGhKQ0O12I5/PiwuOEr3ZbEq2ZDab7cpSpMRicdhoNIpm\nsym4RigUgsvlkuAkak8EEXlANZDHA6UDgcgEeZDy+TxSqRTi8TgASDEWZnkSx9Dl1+hV4b21qaHn\nVeNC2rVJsJBj8Xg80v5OawjUavhMHD/jPchYqXHoTlw7jbarKfwVgP8EgI7dOIBVy7J4WmYBjHRe\njwCYAQDLshrGmELn+yv6gsaYTwD4BNC7ZmGvVNhrIe3X3g5t9V09Do6TMQcshhIOhyWO3ufzoVAo\niAeBbkhdD0FXCNKbl30TFhcXJRiJWgcAOTzValVCmSmF19fX8cILL2B8fBzpdFoqQbN6cl9fnwQo\nEeR7+OGHMTc3h8uXL6NWq6FYLApDIfOiK1UfFDJFahMEEVkJiZgC+0HozEc+i9YSGLFIxkHVnibK\nk08+ifX1dSSTSdHEQqGQHCoWj+EckYmz+S7HqwPDNFbAeWJgmWYgxBt4uO1Zm7wXc1iIF1HzYa0K\ngrqJRALBYBClUgnr6+soFosSOq69INeD3ux1rsoUjDE/B2DZsqyXjDHv49u9xrCNzzbfsKzPAfgc\nADidzh2nRejsOF3AlMkzbrcb8XhcWqlRRV9fX5cQWB4uVjkC2oeBKrAOT+ZGpN1JPIIVlHRCFb8H\ntDd+oVCQ6sdHjx7FyMiIBPVQFSf6TYCS9n1/f79ci2XWc7mcmD6tVgu1Wk0KvjJHg3gBTSM2pGVK\nMrEI7WO3g4gAJGKRpgnDiDnWfD6P6elpmSe6SjkXlNQ+n09ASWILDOjiOtgPCZkStZSNjQ2JTQC6\nM121lkbmws9pztA0YlwDQU9+RmbHIjnEJFjXAYDMQa/x3izajqZwGMB/MMY8CsCDNqbwVwAixhhn\nR1tIA5jvfH8WwCiAWWOME0AYQO66j/w6kx284eLzYDAyjnkLACSoRzddpbSkRGXcANFqDWz5fD6s\nrq52SS8WWwGAbDYrCDltUG4ybibavfV6HZVKBWfPnoVlWdIvUms42n/OfAYWQSUzq9frGB8fR7lc\nFpWYrk6CgPSkUAoODg7KmB0OhyRWcVxkfqyzyPvozU/MQGsTxhjMzs6iWq0KyMp10LEhjEVgKXwy\n0VKphGq1KlgPDyXng7gBgC7wV4N5dsCXmh37X5JBaFcn14Rrtrq6KkCujgSl9kGti2CtZkS3Ihvz\nqkzBsqw/BPCHANDRFP5Py7L+ozHmKwA+hLYH4lcAfLPzL493/n6u8/nT28ETtkJVtwof7XWIt0Na\nymjiAnEReKiJeNM+7uvrk+IdjUZDtAMeUqqqOqSWhT34PYYX66AbglFMXQYgQUasIxAIBLoSkajW\nG2PE88Fu0JFIRFRnqucOhwPlclnMF0rtsbEx5PN5UX9pkgBtRH52dhbRaFSCmxj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tfrRalU6tqX9kOnbX5tEnPfAJAkJuZQ8Ptaq+A8ERPQmjS1TjJxfQ+9R66VIQA7zCXJyY9EIuJm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\n/n+hAJEXKRORgwAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10f0eb978>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.imshow(img[:,:,1],cmap=plt.cm.Greys_r)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Plot a slice across the image at row 250:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x111c36198>]" | |
] | |
}, | |
"execution_count": 8, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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IPpvoJJOxA6NJarVEcdnhCv2ZcRG9l1aCoBF9EFChDyipPBH95B59UmvRlyF1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\n8/8B5gE5z15k0rgAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x111846be0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(img[250,:,1])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"framestart = 0\n", | |
"numframes = 36 # pick the number of angles\n", | |
"fnums = range(framestart,framestart + numframes)\n", | |
"roistart = 120\n", | |
"roistop = 1000\n", | |
"data = np.zeros((numframes,roistop-roistart))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# here is where you need to load slices from your images into the data array" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 235, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x12fb91390>" | |
] | |
}, | |
"execution_count": 235, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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C3EU48/jovurvIU3Zy6tpGMvAYlYeLBMq17JimZjJW/l4HVrEfiKd39IyWfBYbbP6kjbO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\nrkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1287685c0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.imshow(data,cmap=plt.cm.Greys_r)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 236, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Trick to invert the image so (bright goes to dark)\n", | |
"data = -data + data.max()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 237, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"(880, 427)" | |
] | |
}, | |
"execution_count": 237, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# We need the data to show projections vertically for each angle with angle on horizontal axis:\n", | |
"sinogram = data.transpose()\n", | |
"sinogram.shape" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 242, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x1320b0128>]" | |
] | |
}, | |
"execution_count": 242, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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b+Ooo0Hsk0IvEJoG+p4VCRpniNvvF1jQGyPDIhdi4snsg0NiuWUb0ItHtc0JY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\ncv8fGrQvvSz12h0AAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1320b0198>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Check for alignment by plotting first and last slice:\n", | |
"plt.plot(sinogram[:,0])\n", | |
"plt.plot(sinogram[:,-1])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 243, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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AfqVe/OuowQnXUIMU/mk7lUgkEhgdHUV/fz+effZZ5PP5SF6VJqxpiKKvrw/79u1DEAS4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\ncwAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1325b1588>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.imshow(sinogram,cmap=plt.cm.Greys_r)\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 244, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Define the set of theta angles, needs to match angles used in projections\n", | |
"theta = np.linspace(0., 360., numframes, endpoint=False)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 245, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"reconstruction_fbp = iradon(sinogram, theta=theta, circle=True)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 246, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x12be4fdd8>" | |
] | |
}, | |
"execution_count": 246, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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UfhOX+0TpJGWXKMrM2NjUxPya1PUaYchZF8ISZ3D4HIbAiCJJkRXSyM5iOUTi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\nR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8AbwOPBkpM9IUUI9gIQinfg1G7ndDhAG0KINO2RkRGdOnVqx/Y8uJ6joxS2YTz55JN6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\nogox7lQAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x13269c828>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.imshow(reconstruction_fbp, cmap=plt.cm.Greys_r)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Another reconstruction algorithm:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"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": "3.6.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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This is skeleton (i.e. template) code for a course. It will not run, but serves as a starting framework. I will post working examples once my students finish the activity :-) feel free to contact me with any questions.