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@pmarshwx
Created October 19, 2012 17:12
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Learning how to use FFT to do KDE
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{
"metadata": {
"name": "phd_fix_rotation_issue"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": "import numpy as np\nimport matplotlib.pyplot as plt\nfrom matplotlib.patches import Ellipse\nfrom mpl_toolkits.axes_grid1 import ImageGrid\n\nimport scipy as sp\nfrom scipy import ndimage\nfrom scipy import fftpack as fft\n\nimport hwt",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": "dist = 501\nhist = np.zeros((dist, dist), dtype=float)\nmidpoint = np.floor(dist/2)\nhist[midpoint, midpoint] = 1\nsigma = [40, 30]\nxrot = 60\nhist2 = hwt.smoothers.anisotropic_gauss(hist.copy(), sigma[0], sigma[1], xrot, \n 0, 0, 1, 10, True)\n \nprint(hist.sum(), hist2.sum())\nfig = plt.figure(figsize=(8,8))\ngrid = ImageGrid(fig, 111, nrows_ncols=(1,1), direction=\"column\",\n axes_pad=1, add_all=True, label_mode=\"1\",\n share_all=True, cbar_location=\"bottom\", cbar_mode=\"each\",\n cbar_size=\"5%\", cbar_pad=\"5%\")\nax0 = grid[0]; cax0 = grid.cbar_axes[0]\ncbar0 = ax0.pcolormesh(hist2)\ncax0.colorbar(cbar0)\nax0.set_xlim(0, dist)\nax0.set_ylim(0, dist)\n",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "1.0 0.999999889051\n"
},
{
"output_type": "pyout",
"prompt_number": 2,
"text": "(0, 501)"
},
{
"output_type": "display_data",
"png": 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5U1SuT6kN6m3+KkpUy/q8oXIS7Ul0SLAaSFC9VuMG4xFiLUWEfmqy0qrDcldR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\nISGEkEJDERJCCCk0FCEhhJBCM/Qp1jhdECGEkH6zlpGA6zT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"text": "<matplotlib.figure.Figure at 0x3ede9d0>"
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": "dist = 501\nmidpoint = np.floor(dist/2)\nprint(midpoint)\nhist = np.zeros((dist, dist), dtype=float)\nhist[midpoint, midpoint] = 1\n# x = np.random.randint(0, dist, (20,))\n# y = np.random.randint(0, dist, (20,))\n# hist[x, y] = 1\n\nihist = fft.fft2(hist.copy())\nihist2 = fft.fft2(hist2.copy())\nihist3 = ihist * ihist2\nhist3 = fft.ifft2(ihist3)\n\n\nfig = plt.figure(figsize=(8,8))\ngrid = ImageGrid(fig, 111, nrows_ncols=(1,1), direction=\"column\",\n axes_pad=1, add_all=True, label_mode=\"1\",\n share_all=True, cbar_location=\"bottom\", cbar_mode=\"each\",\n cbar_size=\"5%\", cbar_pad=\"5%\")\nax0 = grid[0]; cax0 = grid.cbar_axes[0]\ncbar0 = ax0.pcolormesh(hist3)\ncax0.colorbar(cbar0)\nax0.set_xlim(0, dist)\nax0.set_ylim(0, dist)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "250.0\n"
},
{
"output_type": "stream",
"stream": "stderr",
"text": "/home/Patrick.Marsh/.local/lib/python2.7/site-packages/numpy/core/numeric.py:324: ComplexWarning: Casting complex values to real discards the imaginary part\n return array(a, dtype, copy=False, order=order)\n/home/Patrick.Marsh/.local/lib/python2.7/site-packages/matplotlib/axes.py:7466: ComplexWarning: Casting complex values to real discards the imaginary part\n coords[:, 0] = X\n/home/Patrick.Marsh/.local/lib/python2.7/site-packages/matplotlib/transforms.py:921: ComplexWarning: Casting complex values to real discards the imaginary part\n self._points[:, 0] = interval\n"
},
{
"output_type": "pyout",
"prompt_number": 3,
"text": "(0, 501)"
},
{
"output_type": "stream",
"stream": "stderr",
"text": "/home/Patrick.Marsh/.local/lib/python2.7/site-packages/numpy/ma/core.py:2914: ComplexWarning: Casting complex values to real discards the imaginary part\n output = self._data.astype(newtype).view(type(self))\n/home/Patrick.Marsh/.local/lib/python2.7/site-packages/matplotlib/colors.py:887: ComplexWarning: Casting complex values to real discards the imaginary part\n vmin = float(vmin)\n/home/Patrick.Marsh/.local/lib/python2.7/site-packages/matplotlib/colors.py:888: ComplexWarning: Casting complex values to real discards the imaginary part\n vmax = float(vmax)\n"
},
{
"output_type": "display_data",
"png": 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tPDqCQpkyl14bLsWfolW6+tMWLrXmAoFuZ7dkLJsv1W1ZjisKh8LYJttt681t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\ncl7TCTkAAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x40fe810>"
}
],
"prompt_number": 3
}
],
"metadata": {}
}
]
}
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