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"info": {
"author": "Christoph Gohlke",
"author_email": "cgohlke@uci.edu",
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"description": "Fit exponential and harmonic functions using Chebyshev polynomials\r\n==================================================================\r\n\r\nChebyfit is a Python library that implements the algorithms described in:\r\n\r\n Analytic solutions to modelling exponential and harmonic functions using\r\n Chebyshev polynomials: fitting frequency-domain lifetime images with\r\n photobleaching. G C Malachowski, R M Clegg, and G I Redford.\r\n J Microsc. 2007; 228(3): 282-295. doi: 10.1111/j.1365-2818.2007.01846.x\r\n\r\n:Authors:\r\n `Christoph Gohlke `_\r\n\r\n:Organization:\r\n Laboratory for Fluorescence Dynamics. University of California, Irvine\r\n\r\n:License: 3-clause BSD\r\n\r\n:Version: 2019.10.14\r\n\r\nRequirements\r\n------------\r\n* `CPython 2.7 or 3.5+ `_\r\n* `Numpy 1.11.3 `_\r\n\r\nRevisions\r\n---------\r\n2019.10.14\r\n Support Python 3.8.\r\n Fix numpy 1type FutureWarning.\r\n2019.4.22\r\n Fix setup requirements.\r\n2019.1.28\r\n Move modules into chebyfit package.\r\n Add Python wrapper for _chebyfit C extension module.\r\n Fix static analysis issues in _chebyfit.c.\r\n\r\nExamples\r\n--------\r\nFit two-exponential decay function:\r\n\r\n>>> deltat = 0.5\r\n>>> t = numpy.arange(0, 128, deltat)\r\n>>> data = 1.1 + 2.2*numpy.exp(-t/33.3) + 4.4*numpy.exp(-t/55.5)\r\n>>> params, fitted = fit_exponentials(data, numexps=2, deltat=deltat)\r\n>>> numpy.allclose(data, fitted)\r\nTrue\r\n>>> params['offset']\r\narray([ 1.1])\r\n>>> params['amplitude']\r\narray([[ 4.4, 2.2]])\r\n>>> params['rate']\r\narray([[ 55.5, 33.3]])\r\n\r\nFit harmonic function with exponential decay:\r\n\r\n>>> tt = t * (2*math.pi / (t[-1] + deltat))\r\n>>> data = 1.1 + numpy.exp(-t/22.2) * (3.3 - 4.4*numpy.sin(tt)\r\n... + 5.5*numpy.cos(tt))\r\n>>> params, fitted = fit_harmonic_decay(data, deltat=0.5)\r\n>>> numpy.allclose(data, fitted)\r\nTrue\r\n>>> params['offset']\r\narray([ 1.1])\r\n>>> params['rate']\r\narray([ 22.2])\r\n>>> params['amplitude']\r\narray([[ 3.3, 4.4, 5.5]])\r\n\r\nFit experimental time-domain image:\r\n\r\n>>> data = numpy.fromfile('test.b&h', dtype='float32').reshape((256, 256, 256))\r\n>>> data = data[64:64+64]\r\n>>> params, fitted = fit_exponentials(data, numexps=1, numcoef=16, axis=0)\r\n>>> numpy.allclose(data.sum(axis=0), fitted.sum(axis=0))\r\nTrue\r\n\r\n\r\n",
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