From b01e0639697a83ffde82420631427c588a14581f Mon Sep 17 00:00:00 2001 From: "Hood, Jonathan D" Date: Wed, 27 Jan 2021 18:15:06 -0500 Subject: [PATCH] added 2d fit --- .../twoDGaussianTesting-checkpoint.ipynb | 357 ++++++++++++++++++ custom_2dgaussianfit/testimage_bcg.npy | Bin 0 -> 12228 bytes custom_2dgaussianfit/testimage_img.npy | Bin 0 -> 12228 bytes .../twoDGaussianTesting.ipynb | 357 ++++++++++++++++++ 4 files changed, 714 insertions(+) create mode 100644 custom_2dgaussianfit/.ipynb_checkpoints/twoDGaussianTesting-checkpoint.ipynb create mode 100644 custom_2dgaussianfit/testimage_bcg.npy create mode 100644 custom_2dgaussianfit/testimage_img.npy create mode 100644 custom_2dgaussianfit/twoDGaussianTesting.ipynb diff --git a/custom_2dgaussianfit/.ipynb_checkpoints/twoDGaussianTesting-checkpoint.ipynb b/custom_2dgaussianfit/.ipynb_checkpoints/twoDGaussianTesting-checkpoint.ipynb new file mode 100644 index 0000000..3bc34b7 --- /dev/null +++ b/custom_2dgaussianfit/.ipynb_checkpoints/twoDGaussianTesting-checkpoint.ipynb @@ -0,0 +1,357 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "from IPython.core.debugger import set_trace\n", + "import scipy.optimize as opt\n", + "import numpy as np\n", + "import pylab as plt\n", + "\n", + "def twoD_Gaussian(xy_tuple, amplitude, xo, yo, sigma_x, sigma_y, offset):\n", + " theta = 0\n", + " (x, y) = xy_tuple \n", + " xo = float(xo)\n", + " yo = float(yo) \n", + "\n", + " if theta == 0:\n", + " a = (np.cos(theta)**2)/(2*sigma_x**2)\n", + " c = (np.cos(theta)**2)/(2*sigma_y**2)\n", + " g = offset + amplitude*np.exp( - (a*((x-xo)**2) + c*((y-yo)**2)))\n", + " else :\n", + " a = (np.cos(theta)**2)/(2*sigma_x**2) + (np.sin(theta)**2)/(2*sigma_y**2)\n", + " b = -(np.sin(2*theta))/(4*sigma_x**2) + (np.sin(2*theta))/(4*sigma_y**2)\n", + " c = (np.sin(theta)**2)/(2*sigma_x**2) + (np.cos(theta)**2)/(2*sigma_y**2)\n", + " g = offset + amplitude*np.exp( - (a*((x-xo)**2) + 2*b*(x-xo)*(y-yo) \n", + " + c*((y-yo)**2)))\n", + " return g.ravel() #ravel necessary for curve_fit\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Geneate a new image " + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(160, 150)\n", + "(160, 150)\n", + "(160, 150)\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Generate an image\n", + "xsize = 150\n", + "ysize = 160\n", + "x = np.linspace(0, xsize-1, xsize)\n", + "y = np.linspace(0, ysize-1, ysize)\n", + "x, y = np.meshgrid(x, y)\n", + "print(x.shape)\n", + "print(y.shape)\n", + "img = twoD_Gaussian((x, y), 1, xsize/2, ysize/2, 10, 20, 10) # amplitude, xo, yo, sigma_x, sigma_y, theta, offset\n", + "img = img.reshape(x.shape) # undo the ravel \n", + "\n", + "print(img.shape)\n", + "plt.imshow(img)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we just have data, the 2D numpy array. We want to fit a Gaussian using the pixels as the x,y axis. " + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "def fit_twoD_Gaussian(img, initial_guess):\n", + "\n", + " # Create x and y indices\n", + " ysize, xsize = img.shape # rows, columns\n", + " x = np.linspace(0, xsize-1, xsize) # could you arrange here\n", + " y = np.linspace(0, ysize-1, ysize)\n", + " x, y = np.meshgrid(x, y)\n", + "\n", + " # Fit image to 2D gaussian\n", + " optimum, cov = opt.curve_fit(twoD_Gaussian, (x, y), img.ravel(), p0=initial_guess) \n", + " #print(optimum)\n", + " \n", + " return optimum, cov\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 1. 75. 80. 10. 20. 10.]\n" + ] + } + ], + "source": [ + "initial_guess = (3, 80, 80, 10, 20, 10) # amplitude, xo, yo, sigma_x, sigma_y, offset\n", + "optimum, cov = fit_twoD_Gaussian(img, initial_guess)\n", + "print(optimum)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot the fitted data as contour ontop of actual data " + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Fitted model\n", + "ysize, xsize = img.shape # rows, columns\n", + "x = np.linspace(0, xsize-1, xsize) # could you arrange here\n", + "y = np.linspace(0, ysize-1, ysize)\n", + "x, y = np.meshgrid(x, y)\n", + "img_fitted = twoD_Gaussian((x, y), *optimum)\n", + "img_fitted = img_fitted.reshape(x.shape) # undo the ravel \n", + "\n", + "\n", + "fig, ax = plt.subplots(1, 1)\n", + "ax.imshow(img, cmap=plt.cm.jet, extent=(x.min(), x.max(), y.min(), y.max())) #origin='bottom' didn't work\n", + "#plt.colorbar()\n", + "ax.contour(x, y, img_fitted, 8, colors='w')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(55, 55)\n", + "26336.0\n", + "63552.0\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", 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0jh1U9afUP8gDUdbvRNXTCrdxX05u4famp/jS8KzmvvYeY70v0ch96+J8UQd6lG6zkbUY7wSv7x3h9dPKNja1gvcn42r9IPu2AkN8vLn1wpouY23zZC/rj1999TaK/+q6+yluibE+eWiSNbPBOGtUU5N83T3ZwvMyQtWgv2MD5zK+0M6+r0vru06/P74ANeeBhauA+k4x55DpnHsR07PN5nIbgPsy7+8D8PEFbpdhGIuEc3JR3HGdiTrnXBcAOOe6RKT2bCuKyF0A7gKAQG3Z2VYzDCNPmBbn/5On/GRmtb0HAMJrG9wcqxuGsehcvDXne0SkIXO31QCgd85PAEhO+dB7MFuvOx1mb42uWTUa4xpPpUHOJRxN8HJd/GxbM2tmWiPTtKg68Nc3HqO4Ncj5b/05vq4xD7fl5qr9FP9r57UUV5ey1yc3hxMAElE+NUNqzsfaVTyPYP8BbrtrY89baC173qYqWTRKj3Nc3M5xfIz7zj/BfV36Kus2U/W8PL2BNTI3yuc6WcSaV8kh3n+iTOUaDnH/1Kl5Ift2sc6UKFX+ppy/y47D/MDglGdOivg6PRRjfTGmBLgXj3OuYmySl4fLOJFz8hg/iVx7DedCvjbQTPFn1r1K8T173336/YSaT/N8mBbnC1zjOguPArgz8/5OAI8sTHMMw8gHUvDM67VYzHnHdZYJHb8O4EER+SyAdgCfeicbaRjGheOicM7PMqHj+xe4LYZh5Ak2WUYOwVAcq7dk/Up6rjw9T2KkiL1FB9pZW6hbxd6miF95p0pZ42qLsg4U8rIXqGuCtQZdR17PnxcJZvfnV76XSi9rOh7lzdlaxb6ttiLWz04Ms5doeJD7Zu0y9h71lHFfFldyX0wMsJfIU6xyAav52CbA65e0sE7jYbkR0Ro+flWiCt7nWHNz7+X9JftYI5xoVvXAtO4U5T+szjY+t1I2e86e82WXX7mxlZbteJN9Uh4fbyuhcgmf6eFaaRvq+NwE1HW+/XWuzbb+snaOS/jzr8Y5r/Sf9l1H8bUrsu3/qdKBzwfngETaBi7DMAqI6UdFG7gMwygw8t05bwOXYRhEIdghLujAVeKL4ZrqrDfq4BjneB3s4DjY0E/xpzfvoPhHR3n+uVpVd/2fW1kLKC9i/0zYp3IXE6queYJvl32q1lE4RyNrKuZ5Ef9w1yco/uTa3RT3xFhPO9xTQ3EwwBpUpJI1sxkoa68oTc0X5npVyRH2+8gerlFfzDYrTDao3MIYX9g+5etKsCQHj1q/4nHW0CZ+iX1mE72siRWdZI0tpXIRE6rellO6FFSuZklt1ke3q30pLVu3jmuZfbyez93fvXUDxX+y6ScUf+MIz7u4pZrrzP3th+6j+InhSyk+PMG+Mj2I1ET4WliWc+0F1Hyb54c9KhqGUYBYzXnDMAqK6W8V/5PnKuaSch6MJLOPJPVF/Hhw7UpOsVkT5jSOch9/hV5VwvFIgh93JlTZmmVl/DinS+weH+ayYnWNvP7Hmt6keCinpG5Q+NHucxtfovjng5wGoqegmmjktraOsD1CE1KPudWN7D/ob2c7hYS5fWVv8amfWMaPVoEhflQoP6weBcMcj6/hR9Gyt/jRrvQk739wvbr0XuNyyKKmR4s28fF6h5Q9Qz0Ke/38eZ96dJyazD4L+1Q6VTTJ2947wY+Sk6Ns3fjis7dTvHpNF8Vt41wu6ffbfoXiZIIHiTs2cXmmZUqGGEzwY/QTHRtOvx+Nv4K3y0VhQDUM4z8f9qhoGEZBYd8qGoZRkNi3ijlMpgJ4c2jJ6fjaata0dFrMlhCnQnynk+0NOmVIl7W5bSVrUi/2sM60toQ1tKWR4bM1HQBQ52cdqTuetTTowmu9cbY7rAhzGZqhJOsUk0nWuHSZ6JpK1gN1X/V38/58qgyNU1O1ja1UKTSVnCoyVcKXhqRUmZlSZbcY5vUjR1g3GlvK+y9t5/33b+Fz51HTmRWp6cYmVrGmVXyY9c1oPV8bCVWaJhTJpkS9q6mNlpX5OF3q4T2XUyxjfKxrN3H6Vl2Iz1VSCd1tKdYvNy5lTWzvCJftTqr0mz9e/hjvP5RNEfqm0m3PB+cEyTwfuPK7dYZhLAppJ/N6zcWZJttRy0VE/kZEWkRkr4hcfqb1NDZwGYZBnNK4FmLgwvRkO7fMsvxWAGsyr7sAfGs+G7WByzCMGSzUwHWWyXZyuQ3Av7ppXgUQyVRVnpULqnGlnWAykdVKnjzJ0zKtreijuDvB3p5lYT7+qRTrHgeGuFzvxhLWDgbGWFd6Ksn719PYN5Wy5vXPbayxXVKRncZdi5kzdJIDWym+ekUbxXuP8VRtonxHmyq51In2BkmMdRQ95b0mVsYalO8Ee5PSKoUmWcKalp7ouOEXyndVye0J9fLxDGzi5Z4kbz/cxu0fW8HLQ62suUVrlGZXpqYvU92RGz/9Bpcv8ldE1cq876u2HaZ4+xEuO9MdYX3ypqWHMBtvHmKfWP1Svs67u9hf+JUUT6r1vtpsexZCVL/APq5GACdy4o7M77rOvPo09q2iYRgzOAcfV7WI5Dpm78lMkDNfzrSjOSfVsYHLMAzCuZnfZM5Cv3Nu29vYXQeA3FvOJgCdZ1n3NKZxGYYxgwUU5+fiUQC/nvl28RoAI6fmbJ2NC3rH5ZU0yoNZ/aBB+V00R6Nc3iPoYV0mpkro/taKFyj+Sf8Wir+w8VmKH+3h5d1jrE0MRFkTiydZl3lzIKshXlbDXp7xFNeFKQ6x5vLaDi73e/kVnLt4qJ+PfXMJb39K+araKtiH5TvBZWOKe/nuO3JE+bqW8kUYOczL46W8XB0eerbx+iVswZuhecXLWZMKDvD/UFVle4YGNrVB6VBpbt+SGvbcac9f72hO3R3195cY44OrqOPrdOfxZRQHw3xuR7v4Onq4m29I9HRnv/OuZyh+tp+vjZ4p7oz219nn9fCGrIdtKM55jufDQmpcZ5lsxw8Azrl/BPA4gA8BaAEwCeC/zWe79qhoGMYM3AINXLNMtnNquQPw2+e6XRu4DMOYgSVZG4ZRUDhnSdZELO7H4fZseebadVxquX2MvUm7p/hZ/mPNnHs4mmTv0beOvZfi99SxbrRrnLUJPQWYLncc9LKmtqqCS+bmamA9U5wr2DnOcTSqprhfxseuNS2tyfz1z26luHwte328LZyrV3GYP++NsabUcwW3p6SDj724X+X6hfhSKTvOy6WNQkxVsmYV565GOqymU1vDxzO+l/P5kqE5viH38HLt2fP5eH+TOdO1eSe4ralKzoMcVrXNArVcBy6d1iYxFYb4OnrXap4O7f421sBWRDiv9Zqt7BvrGOf2nDiWLfudii9EAUBByqYnMwyj0FgojeudwgYuwzAIq8dlGEbh4aZ1rnzmgg5cFcWT+MTmN07HD+2+gpYvb+LpyNZVc72sn3ZcQvE1dW0Ua7fvI6087dNVjWwuCgeV/2aSNbOBSdZJlpewDlOdU/voxRM8bfvkOHuBipSPK5nktl7eyD6tV/Zx7bBwL6+fbGdvTzHLKCjuZp+Td5x9XpVhJTqpK9UbZU0o0srLoxWspRQPcAMmq1V7i/nzerqx0SHWtMq5VBuianvpQT5XqhwaonV8aQcquT8kkNX8wqtYu5xo4RzZJZf2UBxP8c4GhnkutnAt18T6jbVcB/7bh66lOKhq3tcGuT3dUfaFbajgvNXc2myDQXUhnCf2raJhGAWFM3HeMIxCJN8fFeccVkVkqYg8JyIHRWS/iHwh8/tKEXlKRI5kflbMtS3DMAoD52Rer8ViPndcSQB/4Jx7Q0RKAbwuIk8B+AyAZ5xzXxeRuwHcDeBLs20o4TzoiWWf14tKWXdZEub8Mv2crfMB9w6yz0sTUN6dF4+wbhQsZr+OPhGfWcnaxA86WJML+bO6VdDP25pIsQbjUT6jbUpv+/mhNRQjoKa8V6l5/knlORvm9dNB1mEGN/D/ldAA901ghLWRtJ//p/mmeHnAx31VfJj1yMmaJRQHRnh7jS+wF6r7Gs6tDI7y8WgNa7JB/dHw6oDKB4wP8PmAL9t/pUV8Ha666ijFx0e47wa7WAPbso7P5VeXPUrxn3d9kOKyEJ9Mfd11Kk/gwZ56ij+z/lWcjYO+xFmXzRfn8t8OMecdl3Ouyzn3Rub9GICDmC70dRuA+zKr3Qfg42fegmEYhcYFrA5xXpyTxiUizQAuA/AagLpT5Secc10iUnuWz9yF6VrSCNWHz7SKYRh5Rr5rXPMeuESkBMAPAfyuc25UdC3cs5CphngPAFRtqM7z7jAMw0GQvhi+VRQRP6YHre855x7O/LpHRBoyd1sNAHrPvoVpynxRfLBy/+l4OM66xniSvU+x5OzNy61fDwDhAHulqkPsp9HzLt66/CDFh0a5Zn17jL1Fn2jcRfHf7r3h9PslVazPDar8NZ2ruL+fdQtfF9fPLzlOIVKcijiD4j7WNlJBvvAmmtQ/Gg+LRkOrua9rdrPu4+/imlT+XTw/QOwK1g8jh7nvy4/y/iea+IDCXUqjU6d+nMuyw/lUfbFL2QMoU3wtRSf4br9uaTYfUF8Xg6oO2/BRzqG9QtVO29vBWus/h95D8Xebn6d4y3au9LK8YojiJcXc1zXL2dfVqupzVfmzfe0TLfadH/l+hzGfbxUFwLcBHHTO/WXOokcB3Jl5fyeARxa+eYZhXHDcxfGt4nUAfg3AmyKyO/O7PwLwdQAPishnAbQD+NQ700TDMC44eX7LNefA5Zz7Oc48EwcAvH9hm2MYRj6Q73aIC+qcj6b9ODiV9ff80dL/oOV/03UTxVrjeuMEzz1YXDS7DyvgYS/P59dxTfrdqj6XrqHVXMJ1kcaUN2tpTVabaG1lfUzXQMcQf3YEHJd08vq6fpWuGa+ljEQp95WkeP36V1Ve5nLW3Cpa2KdV1MW6isT4866JNTr9H3p4rfoGWXWHb4o/EBjjAxpWmltITZ8wvJXPfV8vn7tIJWtsniV8PLnzB1xdzz6sugBrTA9NsBZ7cpx9XNet4PpaHnVy/qSPc2wby1kP7R7nXMRNZTzJjUfVieuLc27kx8qz2uuPveyPOx8czlBjLM+wlB/DMBgHwO64DMMoNC4aH5dhGP+JsIEry3giiJ/3ZutWPd3J88dtqOS6R03hYYpvrd9H8T+8yX4ZJRsh6GPd5rNlnOv4a4O8/8+veo7iH/deRvFjHZsoTk1kdaIbNr9Fy17YybqGJ6luvdWFMdHEv6h6k2M3h+HXE1e5fR5e3z/OfRHqU/W0VP0uGeC+d5Ws60wtZU0pVsGXkvPy/n1T3D49T2JwkDU0T4K3l2ZJDsVt/IuppXx85cXqeJROtK0qq2s938l5ogPHOTexYRV71j68ZD/FAwnW8/YOs69L+w0HVT386Dh7+PxNrM2WqETVhErcPJmsyFnGf0Pnx+JaHeaD3XEZhjETu+MyDKOgcICzbxUNwyg8bOA6Tdgfx9U1bafjn/espOVjCc4vqwqyF+evX7iZ4s+9mzWpp3vXU6xrg//1EOfTrSnh9MoXhvnzI3HOp/O0c+yC2fvp53dtoGUr17PxaPBh9qB5lM8qFeALJRbhOKlyFXVuX3Eba1LwzTG/Xp3KC63iOBnm9gY72Hs0VcOXTuQQn6vJRtV3cT7ewfWs+xRFuL0j61jn8Q9zdpo3yv0jCY57X+B6YEVXsyfvtb7m0++HRlhzcqqWV0DNcak1poOj7Gk7OcR64I3Lj1DcHWbfVkVgimMf92XLJHsED45wPBjPtn8kqZJczxd7VDQMo+CwgcswjILCDKiGYRQiZkDNIZn2oD9Wctbll5efoFhrCTXLuW7R4Ql+1v9w/ZsUP9/PPq1/O3oVxSMjnIO2aTnniDWEOGettZy1DO9kju7iZ83p2FsNFAdUKqM3xv/RanZz7t14g/JFKR9XxV7ls/LPfiqTFaw5aU2t9E3WgNIR1n0kwT4pX5Sv7LFm7stwJ9fzGlmp9s+SGgZvZq+Sv5VNeYllvL14jK8NibMGpjWtS6rZ33R4qOb0+9s37qRl9z9/HcUVQc7/awhw319ZybpSIs1t2zfE18Lvrnia4n8++W6Kf9HRTHFpMR/7R5rYz5jr83rSy36488a+VTQMo9AQu+MyDKOgcG1JPBUAACAASURBVDBx3jCMQkNMnM8lDcFUKuvfGRhlHeWHiS0U/+aqlym+ackhil8f5HpaYR9rAYf7aiiuLGGtwlPButT+E6xFaG7dtpfin+7N5i4WneB8s8hh3nZUTZcraf6XFi9jXcQX4+XFg7y9qaXsBdK5iJq0lzUgXaM+towbGOhjL9HAtar+liIW4e2XtvD2Q33s2xpbxnEqqnxnIT7+VU2cLzgWY5Gsp5MLmDVHBiku87OG9oXVz55+v3uCryMX4bb3THJf7xhdQfG+Qe6bhjBroyOO9b3/9/CtFPep3MjiWr5Ox1T9/ANjfJ1GcnxgUZ3Ueb7YHZdhGAXHwsy58Y5hA5dhGIz5uAzDKETsW8UcJuMB7GzP6gm1FWO03K9ywrSWEPHzs/+yEvZ1rQt18/ZW8PZ+eoxrZGmKitkDM9nLGtxr3ayFwJM9uwFuyoya6n4/x9Eq/o+W4pLoKBrmtk/UsgYUmODPD69kbaN6H2s6RYdU0fYga3LxJawRpUrZR+VXxzNZrXxTSoObaGa/XirI7S0aVBrfRqXRFXPcP87nojLM18IdV2zn/amZ924uY4/ftmC2w98YX07L/uCqJyn+x0Pss5oq474O+VkT07mHy8J8cfyim6/r5jXsMSv28fbqivnv5K0hnjR+RVlWz0u5BZrIdQEHLhG5BcBfA/AC+Gfn3NfV8uUA7gVQA2AQwH91znXM2FAO+T1drWEYBY2IeAH8PYBbAVwC4A4R0XcQfw7gX51zmwF8DcD/nmu7NnAZhjEDcfN7zYOrALQ451qdc3EADwC4Ta1zCYBnMu+fO8PyGdjAZRgG4zCd8jOfF1AtIjtzXneprTUCyM3l68j8Lpc9AD6Ref9LAEpFpGq2Jl5QjUvEwR/Iahcry/tp+X+pYZ3i7jd/meI1VezlaRuupPiZg1xPKxBizcrvV3WWVE36wX7260iYl5cGeXsj/VmdSM9zGC/h/wkja3m5n2ULFPfrXEBua8UQ73toHXuDKg/x8kA378DF2OPmRnl5QGXVJo9x/l3oms3cYOVNGtjIGpxOmYtW8/Y9LOMgcJBzHVffxHMV+oT7480OvvZXlnJuYkzlC3aHWMP7USL7d6FrxK8pZs3pfUu5ntZP9rLf8NJVLMe8O3KY4r84yPOFTh7jev2jTeyZe29zC8VppVvlaloA8NqObE7uxISaeOF8mb/G1e+c2zbL8jN9Pam3/kUAfycinwHwIoCTAGY1Jtq3ioZhzGABv1XsALA0J24CQNUMnHOdAH4ZAESkBMAnnHNcuVJhj4qGYczEzfM1NzsArBGRFSISAHA7gEdzVxCRahE5NRZ9GdPfMM6KDVyGYcxkgQYu51wSwOcBPAHgIIAHnXP7ReRrIvKxzGo3ADgkIocB1AH4X3Nt94I+Kno9aVSpfMFc7u+9huJ3NR6j+Ml9Gymub2B/jJ6ZJN7LuomaehCuic1TnhFVB30p60An9nNOWtFgdn/aPjO2TNW7OqbmERxhzWZE+bACo3xqAhNpFfP2vDHenutgT5uEWJOSes7jTFSzvuftYT0RUyxKSZq1lPBJbs/4cuVTK+b2J1WeaLCcfWeaXpUvqOf9OzHBGlbHMMeDMfaB/d7SrFfrL1b9gJa9GWPN6ye7tnJj1HWk8yD/5LmPU3ztZtbIdkb5XIdVva2X2ldR/Mur91AcU7XXqtZk9b3e4Ow5q/PhHL4xnBfOuccBPK5+95Wc9w8BeOhctmkal2EYM7FCgoZhFBr5nvIzp8YlIkUisl1E9ojIfhH5k8zvV4jIayJyRES+nxHeDMO4GFg4cf4dYT53XDEANzrnxkXED+DnIvJTAL8P4JvOuQdE5B8BfBbAt2bbUDLlRc9wVqu4vJprzL/Rv5TiE+3VFAfKWAvo7uI6RqWV7IeJhpRmVcQ6zUQrz3+XVjpMKsXjejrMOlKqOFfj4lvroJrmULtZdP2qmKrXFa3hD1SzzIGA0shSft5eoJI1Hqj6X8kqziX0RFkbiV3PWRnFR1jzkhRrThqdu1nUx76q4Y0qV1HpPr0T3L7mcvYurYvwnJhDag7MkPLclfj52vl293uy2yph39aOIc5dLK1hLXRlBbdlby/Xx7puC/u4qoP8+c9d+hLFu8d4Dstd3Rz3xbkvVhaz//HSqmweapvKczwvFljjeieY847LTXOq5/2ZlwNwI7KC2n0APn6GjxuGUYjk+R3XvOwQIuIVkd0AegE8BeAogOHMV53AmW38pz5716l0gNToxJlWMQwjz5D0/F6LxbwGLudcyjm3FdOu16sAbDjTamf57D3OuW3OuW3esvCZVjEMwzgnzulbRefcsIg8D+AaABER8WXuumbY+M+GJ6eG1QfKeX649gkWevoi/GyfTLBOctuW3RSHPKxrPN3J8ypqNl3NNey3H2dtI62+EvaX8vZTQ9nuSxWpXLwkfzbm074mXj+kymXpfwNDa1VN+kmOK46oGvIr2aflf+UAxZPb+Aa5qI81oPElqnZ5WumNY0ovrOP2BIf5ABKlSgOs5ppVv76e81R/1sUaW/cE5/dNJrh96ytZp3pXPXsAS7x8fG2T2VzF77zG8yiuXsUeuA8s5evkyXbOiR0fZL/gy0Psw9qyknMZt4bbKR5V+tzECVXj3st14LrKWZu9IpLdXsDz9n1cAPK+5vx8vlWsEZFI5n0xgJsw7YB9DsAnM6vdCeCRd6qRhmFcQOZZ0mYxBfz53HE1ALgvUxDMg2nL/mMicgDAAyLyPwHsAvDtd7CdhmFcSPL8jmvOgcs5txfAZWf4fSum9S7DMC42Cn3gWkgqiibxiTVZXUrXx65XtbUPgnMDdX7aYJy1hX6nNDHlw/J5+WuQXZ3sl3nvSq6DpOdp7I6yzrLPn/XvpA+wLjGxjvWwolLeVkrpdZPCOod3SuVdlqtcx0FePrSWNR/fFJ/aoiquIRUtVyqB8Nx9niTvb2QV+4t1DXmnpkWcaOS+9jRyjuo1S7ne10CCv7jZXMmS6c4+9vjVl/C1cmnpSYp/cpLrh93ccJDiXV1ZjU9rl1o/a1SmPK19IsF9GWngeRXbR9hT973k1RTrGvMrLmHBs1R50FqHuA5dkTf7+dx5S88XweJ+YzgfLOXHMAymAAyoNnAZhjETG7gMwyg4bODKMp4M4uW+lafjnhhrRhvC/GzfW8+a1V5VZ/wXx1ZS7PNx/l6khL1CEzHWaZZUcHXYkQTXmNrRzbrKRJvKbSzNembCm1jXQJJ1jysaOS9T57dNFPO+kyG+cpyalzFVNLtvamQNN2dqiNf3q3kch6p5+VSDqpc1oHxpVbzcG+XlX/zQTyh+rJc1p3iaL70v13L+3sPjfAArizlX0q9q0P+4izW8KaVTbR9qpviKJdnzURPgzni5h6+rXwxxXBbi+lvrLuG8yZZB9rxVhfg6PDHAmlcyyX2fGuXrtLJRa2x8be3cs/r0+8mphak5b4+KhmEUHjZwGYZRUDj7VtEwjELE7riyJFMeDE5kvVetas7HieTstQiXVLEmNTSpvE8e/jfRP8waWWqEtz85zt6l4qXspxk/zppWcJi1hdRkVkdRJeARVLXD9vQs4W0PsAcN5SrHTG3Po2rQx+p4fedjnSQwNHvp3dHV3FdFfcrzNqY0rbWs00gv910yzNv71uH3UPzh5fsp3jvCeuVH9/06r9/I62vP32MnNnF7lCijr4XcfD4A6Ihm82K7onyei9R8mx1jqraZ4vgI59jGYqyvdcVZy60um71KyliI+3ZoQM0HEGB9D7nhAg04pnEZhlF42MBlGEZBschFAueDDVyGYRACe1Qk0mnB5GT2+b1H+VFiSW7Omgh7d9pHWUtoLGfNq32Il69fwjWaDnZzva1wA/txDndzDStNaj37fRpzNLf2bs4fiw2y/hZPsWbkSXBcvIxz7zTxsJpn0ccaTmKCc/38SqOaVL4sfWXGqnl5OsCxDCn9sY41vCXVSn+c4OP/SRtrUjcve4vingDrQI918PqDI3x8JWE+d3etfpniH3ReQfGDLVwnIBLOanZbqjgvsmeKNaWedj639csHKE6mVKKmIjbGmtVJdW2IujbCS/hauHwV53Xu62IPYDBnflCP1r/OExu4DMMoPGzgMgyj4LCByzCMgsKqQzAej0NxKKuN1JSwn2VrBdfmTqgiTysjrC0MRdkL5VRnx1J8eJ+7+SmKXx5YTfGhZ7lWeLpU6UhKq2gbrT39fss69gntf4Xz29KNrMl4ujinbKKfj8VXwp6yukrOhZxK8LFFm7mtE5W8fe8Ae4tSEdZCQpXs09Iet4Zazpe7pIL1w1iaz1WylOO+KHvqXh/gOuo31bPmVRnga2OH8Po9vey9ini53pdPWb+93rNbwZuCPAnkk71cUx5evrD699RSrGuRuXo+1+++hOdZ1DXmT4zysYyO8bXQpert/86m5ylO53jc/qJIJaGeLzZwGYZRaFjKj2EYBYc9KhqGUViYAZWpLRrD59e9cDq+99i7aLmuufQfPZdSnFY154+cZK2hKMS1w2vU836vyhnTtbuj9Spf0K+8TD51Nsez3bd3XzMtCnBT4D/EukZsHWtKngHWlErq2MtTEmDfVHPZIMW6bw766igeGWcdZfUK1qjG4+zTisdZuKkqZg2pbZz7bmOEa6l1THJ+X3MJt3d7F2tWu0dU/f/KIxS/S80H8ECI52n5030fojhcxCcgHudLfW19Vk99qG0rLdu2nPXKnce5rVWNrIkNj/O5DRfzuVof5r7el+a81WI/X3eDY6xH9jg+dy+Vcq2yD1Rm58z0LNSIYwOXYRiFhDnnDcMoSCSd3yOXDVyGYTCmcTH9sRL809HrT8fX1h+j5U/0baT4ykrO0frhUdYirl/DukfrCNf63n6ccxNDIZ6nMahq1E+NqTruq9lLNNHL+XIIZT8f6GRdQtdoH72UNRf/SfZZJWrZtzXSwbrGdVdxXz3Xzh60VdXscZuMsmYVrGeNqnOY9T5NeQl7kQanlGdOrf9CB7fnvU18bvYPc37dLct5nsOGAPvEdA35jzbspfiPlj1G8W8OcT2vqPK5BQKsI+3ty7ZHz9e5fedaij013Bd9b/F1duXV7NNaV8Ka1ncPX0mxX113Yyf4XPhrWP9c38A17Q8PcE7t7pMfOP2+e6oVC4E9KhqGUXjYwGUYRqGR73dcnrlXMQzjPx1unq95ICK3iMghEWkRkbvPsHyZiDwnIrtEZK+IfOhM28nlgtecH8qpq/TYAPu0QqXKqxRm3eam5Ycobp/g+lva6xQKcZxK8Tg9PMneqcAqzgeMtnJdJn+jqrvuyZ45/zhrShNXqXWTrKMkKllz8QzzqfA1sib14knOfVxT3U/xyTHWxOoi7AM7cYx1EW8pa2q/teUFinWe6L8cvIbiUtW3pUUcV/i4/WMx7uufHOV6W5fUdVMc9HL/PHTicor3RHjOS12bbSrJmuPxTp7foKEuq6ktLWV9rVMdS0cL+wXDK/g6WR5ij5quj19XzueiW+mL77uS6+u/1sna7MlRXn9lBf9d5Gpeuvb+ebGAs/yIiBfA3wP4AIAOADtE5FHn3IGc1f4fAA86574lIpcAeBxA82zbtTsuwzCIUz6u+bzmwVUAWpxzrc65OIAHANym1nEATo3O5QA6MQfzHrhExJu5lXssE68QkddE5IiIfF9EZp+ixzCMwsG5+b2AahHZmfO6S22pEUDuNO4dmd/l8lUA/1VEOjB9t/U7czXvXO64vgAg9zvsbwD4pnNuDYAhAJ89h20ZhpHHnMMdV79zblvO6x69qTNsXt+r3QHgO865JgAfAvBvIjLr2DQvjUtEmgB8GMD/AvD7IiIAbgTw6cwq92F61PzWbNvR9bjGB9kbFI9xc9aFWPeo97GO8Wc9N1Pc0835cbkaFAC4NPfhr1/xCsVPd62juLOSc9DSKn9v+ZKs1tBeq3xO/azpeKO8b60hbLqOfU+6BlNvP8f7jq6gOKXmZdR5laEa9qQtibBO82A7a0gjqmb8h1exDvNiF/u2Thxnb9O/DbDm9v7VrE+uC7HX6d7D11J8SS2f+8oga2a6vteGMl7/xwfZB1ZXq2rij2fPV88g921lOffV5ZuPUvyxmt0U/23Ljfx5lddZqrRXpzSvNwfY43Z5wwmKV4RY03qsnf2OVeHs/o7PUnds3iysAbUDQK4g2YSZj4KfBXALADjnXhGRIgDVAHpxFuZ7x/VXAP4QwKleqQIw7Jw79ddypts/AICI3HXqNjI1OnmmVQzDyDMkPb/XPNgBYE1GWgoAuB3Ao2qddgDvBwAR2QCgCEAfZmHOgUtEPgKg1zn3eu6vz7DqGcdo59w9p24jvWWhM61iGEaesVADV+bm5vMAnsC01PSgc26/iHxNRD6WWe0PAPymiOwBcD+Azzin6xkz83lUvA7AxzLeiiJMq/9/BSAiIr5Mw850+2cYRiHiMLMO+tvZnHOPY1p0z/3dV3LeH8D0ODNv5hy4nHNfBvBlABCRGwB80Tn3qyLyAwCfxPTXm3cCeGSubfm9KfLbBCrZ/1IT5PpZI0m+Q/vm7vdTnBpRX2Sq+8BgNx9efDV7q/79p++h+M4PPUfxvYffy9trYK0iFxfkEy1xbkyylnMVvf3c9gPdnEepc+vSU+pUhVRN9SH2LRWvZk0npvRDXd//+U6u8bRC5T4+2c512D+5knWeB6Z4HsNvbP0hxf99P38D/nyM97ekktv7ehvXwFrdwE8OQR/3z9MnWJ+sjLBO1dPD+qe/OOtj09qlzl3UbB/juQnKijiXcSLB57bYx565rVXc90+1cdt3nuRjb1D+wjLlM8v1hSWSs8/xOF8uZuf8lzAt1LdgWvP69sI0yTCMRWcBnfPvBOfknHfOPQ/g+cz7VkybywzDuIiwQoIKrziU+LO3uf1T/JW2flT8l338FXm9mqKraTmnauxs41SJWIgfJype5FIyQ5v4cevel/jR0F/Hj5bLq/jR9lhfNo3EV8mPC8k+NT3YoJoerIofH/z7Ob1orJkfB1av4q/7W1r40dLDm8O4KsHjCasUmh3bKJYE33x/5ka2ijzn48eZHx5ju4F+tPzdV26nuLqKLQC6rM3JKX6Ua4upFCUPn6sSH/fPuxu5nEt/nI+/roT3n2uf0I+Zy8v5PP/pUv4S7NN7foPioCq9XOznk1GkHhVf7uL0rZpSfqxtP8Jlt4/WsdWkIcR/Bz0jOdfOgqT8OCskaBhGAZLf45YNXIZhzMQeFQ3DKCwcAHtUzBJN+qgEhy6dnFDlQC5bxqkPR4e4NMn+XtZ5UlP8VfDVG1j36GlgHSn+JJv9x1ezFuF9kzW4yK38NXZuCZH0cdZUpIk1r9QEd7UuY5MoURdKir+S7x7ltvtG+POySqX0lLNeOKxSeKaS3NfbNnJf3XP4eoo/vWonxVvLuS8e6+AyNe9fxyk+rWN87n52fAPFWsMqq+Lj0dOvVQY4C+P6Mi6f/D/3c0mnyjCvv3soOx3ap1ftoGVL/axxvRZtpliX0BmPc3pXhUpPah3mY5+Ks945cJSnenPF/HcRTfH6a0s4E6avInuddnr5s+dNfo9bdsdlGMZM7FHRMIyCw75VNAyjsLDpyRgRB3/OM3hVSKVlTHJ5kb4J1o3WV/Gz/SsHVepFNW/vsjLWyP5Py7spdhs4Dad0H6dqjG9WJXzH2GuUOJltnz+mUnxirLdJkDWcxmYuvTwyxb6vqSjrGlpXiW5lHeV4K5cXjodZYxOVxeIJsBYyGuf9/+3m+yk+EmM98T/6uOx2TE0HdmiY27OslKetD/u5799sVcVFlMY3NcXnJqpKM7/QwdfC+houm1MV5GtjaVG2Pa8NcYmgliC3vSbAeqHW2yYT3BYRTlX7dDNraK8Os4/rjUN83SdKedQ4OcIlgnRK0Reanzn9/g8D7Fc7H6YNqPk9ctkdl2EYM1mgmvPvFDZwGYYxA7vjMgyjsDCNiwl4U1hentUWRuLsLYomuTlDXfzsv/0Q+108DazjaC/QQ8cv4wYobSLUonSTGlXqOcZep64DrH1IXVYDi0VmL7Sh/4F1dPGx5JZZAYC19VzGZcZ0W0rTClRwX2yo4tzGtPLIFXt5fz1R9omdSLD36IfdXNq5b4I9blqDa+nl/LqeYd7+rasPUNxazvubHGdv1OamkxT71LnuG2M9tCLAeaabwlwubu941sf13sojtOzIFPftYIK33VzCPq9DHZxbWN3E+toHw3ys+8dZzyvewDm3qVbWtEb9/HfiU+WZv3bww6ffd0b5vJ8flqtoGEYhYo+KhmEUFAs4Iew7hQ1chmHMxO64skQTfuzvyk7FtKWRdYsdB9nf0ricazxtreL1nz62luLxA6wbJcpV3pY6F/FyNYVXN2tgzsvd4x/h5VFvVofxaR9XKe975RrWHo51sgYUn2QNa7/yNdXVsw6iKQmxxqU1rUmlkYV1Pasq1nn6kqxJ6Xy8rTV8LuqCXCMqmeb994zx9pYFWSe6ckk7xQMx1pWOj/C51aRSvL89/UsoLvOx5pXrM1sdYn9g5xRrTKX+s5fsBmaWfr40wnravw1dQ/Gv1bxM8c7upRSjhveXVnmlI2OseRUXZz1xc5Wdnjf5PW7ZHZdhGDORdH4/K9rAZRgG42AGVMMwCguBMwNqLn5fCk1VWa2mW00zX1rDOWHxFGsHEyn2XYWLWQuYmmAdJVGr/m0oX5aSgRBnaQP+MZ3gBxVnT663mXPhmipY8/F7WPOSQT4Wb5T3JWp7Pe2s8YRqeHldCffd5WWsGT3bz3XVn9x/CcdJrqd102b2Hn20cS/Fj3RwzflILedO6lxCXQ/rH/Zwff/UJF+Ka1d2UXx5LeedvtrZTHGjmt5sZSnro9r3dX3t0dPve+N83ei8xtYx1iP7x1l/09fV8Uk+V9dFjlJ8T/cNFG+r52NrCfH+2trYV5aIcl9tasxqaifUtG3njQ1chmEUHDZwGYZRUJjGZRhGIWLfKuaQTgvGYlk/ULWux6Xy2dZWcb7e1WVcFz2RZg2s7wbWUdoHKyiOCutKaVXzKVrFOpSuzzXZyCdTktnPx0a4ntXxSf4sVM15F+J9eeu4PlV9BddVWtPMx75X+ZQiKjdPa1rHBlh3EdWe2pWsCb3e00TxwQDn46WUX+jEFPe1qNq/rSd4nsS6Otakegc5V7F/kmtaJZUgubGGfXE9U3ztLC/m43mhbw3FmyNZH9pokn1R7eN8LFqfTCjtVdSclUeHWKMKe/ncto3yudC1yQYm+Ng3rGbP3HF1Xe/rzHojo6o22Pnh7FHRMIwCw8EGLsMwCpD8flK0gcswjJmYjyuHVNqDscmsFtRUyvl3S5QXp3+Kaz7V+3m5rv2tdZVQEfu8ZA/rIFPLuCZV6X7WpWIVvD1vE2ton1i7+/T7+1/jfDRfP29L11xKJFknCRexzrG5kvPddg9w7uLwKOsge+OseUVVzfqmat5/MMJ9uaaM9cRipcuMJlnDe/rQeopXlHHuYd8Yn7ulS3h57wgvL1/G7VlaxvFglI+3fYx1Hp3HujrINbGqG1gz9EtWt9L182uK2RPXMc5zDQT9fN0kivhcXlnHHjrNxkr2qI0luG8rivg609f5iiruyzJ/Nk91MMDn7byxgcswjILCOSCV38+KNnAZhjGTi+GOS0TaAIwBSAFIOue2iUglgO8DaAbQBuBXnHNDZ9uGYRgFxMUwcGV4n3MudzLAuwE845z7uojcnYm/NNsGAr4kluc8n3eOc3Lg6gjPNfjqMZ7v7iuTH6X4V1ftpPj1kWUUHzrMulDZNh5Xk2+xdjG+kv06ngjrBauqWVv4/r4rTr9fouZJ7Eyzlyd1jI/Vk1B5kJew7+ipVvZhxUe5Hla4inWQ1VW8/xJVQ+qVVu7La1ceozgNbs8LXasp7uvgvorUs2a0s537vqiY+25QeZN8Pn4UiSvNb8/B5RTDz+vftOkgxd2qZv5TqY0Uf6PxCYo/c/STp99vLGfN6bW+ZoojQfbITcRZvywv4eXtE6y/7W/h69AfZo2sUemP9679HsV/3X8Dxb9R9XOK/7/OW06/X5BqXA5Antecn32Gh9m5DcB9mff3Afj422+OYRiLjwNcen6vRWK+A5cD8KSIvC4id2V+V+ec6wKAzM/aM31QRO4SkZ0isjMxMnWmVQzDyCccpsX5+bzmgYjcIiKHRKQl83Sml39TRHZnXodFZPZyv5j/o+J1zrlOEakF8JSIvDXPz8E5dw+AewCgbF1dft9/GoYxzQJpXCLiBfD3AD4AoAPADhF51Dl3um6Sc+73ctb/HQCXzdiQYl4Dl3OuM/OzV0R+BOAqAD0i0uCc6xKRBgC9s24EQJE3idWlWS3GU8Yj9v7hBopTMdY9xlOcU/bdlispXl6hvhvwcuenVB30JZeztqHnKvQdZX/NeBVrG4GibI5a1xHOxdP6WOgYt318Fee3DR7m/LWa9axZ6W89Gsq53tdwjLe/5xBrTjWN/E/s6AjnBq6JsI/rspoOivd5Wf8rD3KN+/YU6zp1peyFCvtm9xftaeG661ozjCb4Un16/waKb7jkEMWlfm7fv4xspjh3nsqnO3juglUVrDceGeBzOzbOfX3NCtYLtTYbquAnjY11nGe5r5uv+7/ofT/F23v5XI4keP8NRVnPW64/7W2xcOL8VQBanHOtACAiD2BaZjpwlvXvAPA/5tronI+KIhIWkdJT7wHcDGAfgEcB3JlZ7U4Aj8y1LcMwCoFMkvV8XnPTCCC3UmJH5nczEJHlAFYAeHaujc7njqsOwI9E5NT6/+6c+5mI7ADwoIh8FkA7gE/NY1uGYeQ7DsD8y9pUi0ju1/v3ZOShU5zpi86zjXi3A3jIOTfnbeOcA1fmFm/LGX4/AOD9Mz9hGEbBM/9HxX7n3LZZlncAyNUBmgB0nmXd2wH89nx2emFzFZ0HwznP50EP6zwn3FyWmwAABx1JREFUB9nr5C3i5aEQe5MixaxjjMZYk6pu4Hy3xlKOQ1p34Wkd0VnO7akLsXdpLJr1VkVVfa13rWLd4+U4+6K8xXxsgWqO+w+wD6xyA+suNUWsIY2qfDf9P63vBGtQS1ewpnVpKef6jad4ewNhrrN+ZeQ4xS8JH19dEfeVnsexxMvxmstYIn2inXMhV1awh67Iz/310lHe/+9d9jTFhybrKc6tC6dZW8JtqS9iPfHJVm7beIK3lYqzAhMqZ9+WT00Tffemn1H8QNdVFDeX87FPJFlrXRPKevq8CzIF9YKm/OwAsEZEVgA4ienB6dN6JRFZB6ACwCvz2ail/BiGwTjALZBHyzmXFJHPA3gCgBfAvc65/SLyNQA7nXOPZla9A8ADzs3vVs8GLsMwZrKAznnn3OMAHle/+4qKv3ou27SByzCMmVxEuYpvm4l4AK+fzOp0fqVT1JazbuNR9bU2V7IO82pPM8W6hr2u+QROZ0PXJM/rOBZj7WB1PetAg1HWeZI5+XVbVvPceIeH2PtTWsVtmxhjDSke51ORinDf9PWw3rakhHWX1aXc1pP1vP7SCPu4IgHOdXyyh+dZ9CiRrNjHOs3+cfYe/bclL1N8KMrL7z96BcW6dtr6ataVPta8j+Lv7WLdp7KaNbR/uPq7FH+//2qKj4zw+dhYlfVS1QbPXqsLAOmyAHDXJXysLw5wPfvVy/hYtKdM65EP9bC23VzCmlZTkF18un7+k91ZT9togvN3zwvnzuVbxUXB7rgMw5iJ3XEZhlFYOLjUAjnw3yFs4DIMgymAsjYXdOAScfB6s8/OlSHO4aoPs27TMcY1oGoDrEVUFPHn+ydZg7qknnPCdh3hGk/rVnCu4vBwpYp5e26INTBPddaLtCXCuX0TSTaFOcc6SSzA/9GaqliD6h/nfVeGWZPqm+LlVUHW0PS8g7n5bMDMOuZXl7PvrD3GuYyv9HL+nU/NNfjMCGtkr3ZxX09NstfJ59dzEfL+dG7jb17BNajemuB5Hl8cZ2/VpaV8Pq4u53kpf9y99fT7/QPs8dJ5kb+2ejvF9x6+luLiAOt/H1nK+txzPZwL6fWwfnSijz12LX728JWFWCMbj3JfTgxmry2tlZ43i1iyZj7YHZdhGIQD4OyOyzCMgsI5u+MyDKPwyHdxXubpsF+YnYn0ATgOoBpA/xyrLxb53DYgv9uXz20D8rt9C9W25c65mrlXOzsi8rNMe+ZDv3PulrlXW1gu6MB1eqciO+fIKF808rltQH63L5/bBuR3+/K5bfnI25kswzAMY1GwgcswjIJjsQaue+ZeZdHI57YB+d2+fG4bkN/ty+e25R2LonEZhmG8HexR0TCMgsMGLsMwCo4LOnDNNaPthUZE7hWRXhHZl/O7ShF5SkSOZH5WzLaNd7BtS0XkORE5KCL7ReQLeda+IhHZLiJ7Mu37k8zvV4jIa5n2fV9EAnNt6x1so1dEdonIY3nYtjYReTMze/POzO/y4twWAhds4MqZ0fZWAJcAuENELpn9U+843wGgzXN3A3jGObcGwDOZeDFIAvgD59wGANcA+O1Mf+VL+2IAbnTObQGwFcAtInINgG8A+GamfUMAPrtI7QOALwA4mBPnU9sA4H3Oua05/q18Obf5j3PugrwAXAvgiZz4ywC+fKH2P0u7mgHsy4kPAWjIvG8AcGix25hpyyOYnsY879oHIATgDQBXY9r97TvTOb/AbWrC9B//jQAew/T8fnnRtsz+2wBUq9/l3bnN19eFfFSc94y2i0ydc64LADI/axe5PRCRZgCXAXgNedS+zKPYbgC9AJ4CcBTAsHPuVM2axTzHfwXgDwGcyhauQv60DZguwvCkiLwuIndlfpc35zbfuZBJ1ucyo62RQURKAPwQwO8650YzM4rnBW56xuGtIhIB8CMAG8602oVtFSAiHwHQ65x7XURuOPXrM6y6mNffdc65ThGpBfCUiLy1iG0pOC7kHde5zGi7mPSISAMAZH72zrH+O4aI+DE9aH3POfdwvrXvFM65YQDPY1qLi4jIqX+Ii3WOrwPwMRFpA/AAph8X/ypP2gYAcM51Zn72YnrQvwp5eG7zlQs5cJ2e0Tbzbc7tAB6d4zOLwaMA7sy8vxPT2tIFR6Zvrb4N4KBz7i9zFuVL+2oyd1oQkWIAN2FaCH8OwCcXs33OuS8755qcc82Yvs6edc79aj60DQBEJCwipafeA7gZwD7kybktCC6wIPkhAIcxrYX88WILfADuB9AFIIHpO8LPYloLeQbAkczPykVq2/WYfpTZC2B35vWhPGrfZgC7Mu3bB+Armd+vBLAdQAuAHwAILvI5vgHAY/nUtkw79mRe+0/9LeTLuS2El6X8GIZRcJhz3jCMgsMGLsMwCg4buAzDKDhs4DIMo+CwgcswjILDBi7DMAoOG7gMwyg4/n+zyaeeiNfw9QAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "img = np.load('27Jan2021173520_H17M35S47MS465_Detuning_-1.0_bcg.npy')\n", + "bcg = np.load('27Jan2021173520_H17M35S47MS465_Detuning_-1.0_img.npy')\n", + "\n", + "\n", + "print(img.shape)\n", + "\n", + "print(np.amin(img))\n", + "print(np.amax(img))\n", + "\n", + "plt.imshow(img)\n", + "plt.colorbar()\n", + "plt.show()\n", + "\n", + "\n", + "plt.imshow(bcg)\n", + "plt.show()\n", + "\n", + "ratio = (img+1)/(bcg+1)\n", + "plt.imshow(ratio) # set axis manually: vmin=0, vmax=2\n", + "plt.colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-0.26753144 25.85723839 24.1294853 6.53995167 7.31242205 0.98708385]\n", + "[0.00572625 0.13998402 0.15652393 0.15100408 0.16866566 0.00116003]\n" + ] + } + ], + "source": [ + "initial_guess = (-0.2, 30, 30, 8, 8, 1) # amplitude, xo, yo, sigma_x, sigma_y, offset\n", + "optimum, cov = fit_twoD_Gaussian(ratio, initial_guess)\n", + "print(optimum)\n", + "print(np.sqrt(np.diag(cov)))" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Fitted model\n", + "img = ratio\n", + "ysize, xsize = img.shape # rows, columns\n", + "x = np.linspace(0, xsize-1, xsize) # could you arrange here\n", + "y = np.linspace(0, ysize-1, ysize)\n", + "x, y = np.meshgrid(x, y)\n", + "img_fitted = twoD_Gaussian((x, y), *optimum)\n", + "img_fitted = img_fitted.reshape(x.shape) # undo the ravel \n", + "\n", + "\n", + "fig, ax = plt.subplots(1, 1)\n", + "ax.imshow(img, cmap=plt.cm.jet, extent=(x.min(), x.max(), y.min(), y.max())) #origin='bottom' didn't work\n", + "#plt.colorbar()\n", + "ax.contour(x, y, img_fitted, 8, colors='w')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + 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" g = offset + amplitude*np.exp( - (a*((x-xo)**2) + c*((y-yo)**2)))\n", + " else :\n", + " a = (np.cos(theta)**2)/(2*sigma_x**2) + (np.sin(theta)**2)/(2*sigma_y**2)\n", + " b = -(np.sin(2*theta))/(4*sigma_x**2) + (np.sin(2*theta))/(4*sigma_y**2)\n", + " c = (np.sin(theta)**2)/(2*sigma_x**2) + (np.cos(theta)**2)/(2*sigma_y**2)\n", + " g = offset + amplitude*np.exp( - (a*((x-xo)**2) + 2*b*(x-xo)*(y-yo) \n", + " + c*((y-yo)**2)))\n", + " return g.ravel() #ravel necessary for curve_fit\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Geneate a new image " + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(160, 150)\n", + "(160, 150)\n", + "(160, 150)\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Generate an image\n", + "xsize = 150\n", + "ysize = 160\n", + "x = np.linspace(0, xsize-1, xsize)\n", + "y = np.linspace(0, ysize-1, ysize)\n", + "x, y = np.meshgrid(x, y)\n", + "print(x.shape)\n", + "print(y.shape)\n", + "img = twoD_Gaussian((x, y), 1, xsize/2, ysize/2, 10, 20, 10) # amplitude, xo, yo, sigma_x, sigma_y, theta, offset\n", + "img = img.reshape(x.shape) # undo the ravel \n", + "\n", + "print(img.shape)\n", + "plt.imshow(img)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we just have data, the 2D numpy array. We want to fit a Gaussian using the pixels as the x,y axis. " + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "def fit_twoD_Gaussian(img, initial_guess):\n", + "\n", + " # Create x and y indices\n", + " ysize, xsize = img.shape # rows, columns\n", + " x = np.linspace(0, xsize-1, xsize) # could you arrange here\n", + " y = np.linspace(0, ysize-1, ysize)\n", + " x, y = np.meshgrid(x, y)\n", + "\n", + " # Fit image to 2D gaussian\n", + " optimum, cov = opt.curve_fit(twoD_Gaussian, (x, y), img.ravel(), p0=initial_guess) \n", + " #print(optimum)\n", + " \n", + " return optimum, cov\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 1. 75. 80. 10. 20. 10.]\n" + ] + } + ], + "source": [ + "initial_guess = (3, 80, 80, 10, 20, 10) # amplitude, xo, yo, sigma_x, sigma_y, offset\n", + "optimum, cov = fit_twoD_Gaussian(img, initial_guess)\n", + "print(optimum)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot the fitted data as contour ontop of actual data " + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Fitted model\n", + "ysize, xsize = img.shape # rows, columns\n", + "x = np.linspace(0, xsize-1, xsize) # could you arrange here\n", + "y = np.linspace(0, ysize-1, ysize)\n", + "x, y = np.meshgrid(x, y)\n", + "img_fitted = twoD_Gaussian((x, y), *optimum)\n", + "img_fitted = img_fitted.reshape(x.shape) # undo the ravel \n", + "\n", + "\n", + "fig, ax = plt.subplots(1, 1)\n", + "ax.imshow(img, cmap=plt.cm.jet, extent=(x.min(), x.max(), y.min(), y.max())) #origin='bottom' didn't work\n", + "#plt.colorbar()\n", + "ax.contour(x, y, img_fitted, 8, colors='w')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(55, 55)\n", + "26336.0\n", + "63552.0\n" + ] + }, + { + "data": { + "image/png": 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01dgqOTLeEfElrvtA3aE7rXfSHl/YNwcAcap5USDPJNdAZh2MfX2JFcpnGKo9y5rY2n7btyjVLC722zZrdD2k0UVKdoHVcfLlsd2UchnGV0mvTNpjzbxev8+F9nUh1D5kdLGmtwHHUCvmAdiiHo7j7AIqiLT124ls+qQnIv8JterioyIyCeBzqFUwalbUw3GcHU7XR2So6m9vMKuhqIfjOLuDThYGEpFTAFYAVACUVfU6Efm3AP5HAOeCxf6Nqj4ULH8ngE8Gy/9zVX04mH4zgD8FEAXwNVX9YjD9MID7AQwD+CmA31VVEiXqbGlEhsYV+bF6YGGMdCCuM8t5xbi26dqsrZ1aGrAiYSppgxgrVJuVv6rk+6jOQ8zqIz09dvsr5bpQ1kei2dt7rcy5WLR9LZOPj319vXG7r8kV6zksFqnmA3kIlXxtEb4FyEsmCcr5RrVWEwvku6OaHQlrkUTfpN1ect5ei9lftsJVlHQq1ndZV0+do7oTVDOj9wxde6pTEc6dOHe1ve784ZJzD3JfkvPkITxiN8CxuD1n7bHlh0lDpFyBnO+PfYSFkfq51NjFD1aqQKna8VfXD6nqLE37sqr+r+EJInI1gNsAvBPAOID/JiJvD2b/GYBfQ63A9+MickxVXwDwpWBb94vIn6M2YH51o47szJdyx3HeMmqvt5fMp3cLgPtVtaCqr6FW//b64HdSVV8NnuLuB3CLiAiAGwF8K1h/U9+wD3qO4zRQCeJvN/uhpvU/EfodbbI5BfA3IvIkzf+0iDwbhLqum3gPADgdWmYymLbR9BEAi6papukb4gkHHMcxnKdlZVZVmxXyDvMBVZ0KghiOi8hLqL1+fiHY3RcA/G8A/gc0T46laP6Api2W35AtzqcHE9DaEC9KWkU5RdrFEatzJd+w9UmLVHeimLbzI0mrM/X02u1pyupAVa7Dm6D5oWMpUxGIH82+zbSHk9YzeGJhD1oxuWiNaXv7rWg1NW/nx1dYY2tdWzUxQzniKPa1MExeM6o3wjnf0rP2YsbWqDZsxu6P+7dymPL79ZJHkvTfSor0XoqjLvZRHYoo6cGh+Fmut5FnDY80PvaXZq+2Hsr4pNV3+dqsHmitR6bm2Zdn5zfUOwnVLGYt98KQjr66qupU8OeMiDwI4PogvLW2N5H/E8B3guYkgIOh1ScATAV/bzZ9FsCgiMSCp73w8k3x11vHcRqoBnUyNvtthoj0ikjf+t8B3ATguSCoYZ3/DsB6FqdjAG4TkWTwVfZKAI8BeBzAlSJyWEQSqH3sOKaqCuCHAH4zWH9T37C/3jqOY6h9ve1Y7O0+AA/WvjcgBuCvVfV7IvKXInItau9/pwD8T7V96/Mi8gCAF1ALwvqUqlYAQEQ+DeBh1Cwr96jq88E+PgvgfhH5YwBPAfh6qw5tebr4CKeTCsGP8cVBev9dpXRGA/QKNmR9GRV63eXX2f39K6YdpfftvWk7/52ZadOeDuWTP7liX1d7YrYvi0UbAreStQerpKFwGBq/ziq9esfIQlKldO9cNjBF5gFOjd//qm1LpbVtg1M5lXvsP5pqfON07UBjOvvafR3aH4XJ8fYaUv33kSWI7q1wxGLZqiDoOcOpnex8fr2Mv2jtN6UM9ZWW7zlj52embRxaYcAeO4fQxbOUKj9sx7n4KLSOmpNV9VUA1zSZ/rst1rkLwF1Npj8E4KEN9nF9u33yJz3HcRrwEpCO43QNuz3hgA96juM0sFMThLbDlg56kRKQPls/mZwyvNTbOq12w38+A9Y30Zex3oNfGT9l2s/OjZt2PGJtEaMp6x3IkC43ELW2k6fy9S/o0yt9Zt7yig07q5QozKzfiljZVRKdiH5aPkdhaDkK20osU7p60vhSpBPF8nQteihVU470U0qHVOwlTZLCyiqkwXEK9eQiLZ9orflVSYfj8p5lSs/UYFmZqK+QWGQ90q4bt9IuokU6Vxm+Mflc0PpkeeF086zZlaiEZDETpXZ9fdYPLwRVQdkHPcdxugl/vXUcp2twTc9xnK7DB70OoWL1jXKG0gf1WqEoEqf5FCoVodRPyyvWC/fUrI07Xs5aoWdm0RqwTidt+qbxfpsv6UzO6nYLhbr4s7BAZi5C1+ypXmXhqEI3GWlwBUpPlElZYSgbs/vPUammzGnbZu0nuWTPZTVOPjnqXpF0rN4z9tqtTNgdcKgX++xYs0tSKFZ2X+uSjqVeapMmqZTtPr4c0sFoXs80l3C089fGKSSP9M2YlX4b+srp6WM5qy1vNt7khuy1iWfr2+N9XQhdn0TUcZzuw316juN0DaqNSW53Ez7oOY7TgL/edgiNAYXRun4xenjezH/PnknTfjNrNbapZVt7b2HatlPDVhg6M03FxSkWV8oUY5m0gshreSv2xBMUI1moz1fS5IZGrOevSKmV1has/hjLWM8hx+Jeu+9N0/7ZjPUcYtCuL/OUspxSQfW9bs8Vx9Ym7aXB2oTtb6Rsl88P2/2xtrQ6QTqYlbEa0jWx9y1OOtnaBMWf9tq2FCg9PJUaCKe7Zw0uXB4SaDxWTv1UoHTurC9yCUn2RPK5ryYp9dSyPVmREp37wc4W5nZNz3GcroP/091N+KDnOE4D/iHDcZyuQdU1vc6hgJTqJ7NE3rM4CUGpqBWi9masTpY4aLWOs1NWAxTyxsVXKQcdtUv9FK+6bPuX7bP7k1xofr/tK8fe9vdZ4Wjf5bZEZISCRzku+O+ef7tpg/LppSat/jj0sj2X6XOk+VGsanx6wU4oWCGqPzts2hwvWhqyHsjVCRscG1+zm187wCnZSTejEo+sSXL6ek6oV01y/j+7fHKxPp99eKzR8b9/jiNm/ZI1vNQslzKlOOkZe1/nx60fNJwOvhnhWGC+rheGNJQk3U34k57jOA24puc4TtfgsbeO43QXWtP1ditbrulFQpre0imrwf2/VVs28Zp9tpJbkQJGs5RTjjU89mZxKb4Y6UwR8u0Vhmn+nN2+hGS3MgVwVoesCNVD5SOzJbv8WK+N8z0xZ2tuRBfs8r1vUnlKKsHY95o9uEiWfIAcWzu/aNtFK0wJtSP9VnfieNL4sD1XuVG7Py7ZyJ7J3im7vcSqPb7kgtWc1qisYjnDOhqXsKzPr1BuPvbRcayt0r8ajhvue8P2tdjHuQQpppyuRUNuwHTrp67Mm/Vrw57CC2U3f73dvWql4zgXhAYfMtr5tYOInBKRn4nI0yLyRDBtWESOi8iJ4M+hYLqIyFdE5KSIPCsi7w1t5/Zg+RMicnto+vuC7Z8M1m05Yvug5zhOA6rt/c6DD6nqtap6XdC+A8D3VfVKAN8P2gDwUdRq3V4J4CiArwK1QRLA5wC8H7XKZ59bHyiDZY6G1ru5VUc2HfRE5KCI/FBEXhSR50XkM+udaDZSO46z81GVtn4XwS0A7g3+fi+AW0PT79MaPwEwGBQG/wiA46o6r6oLAI4DuDmY16+qPw4Kf98X2lZT2tH0ygD+par+NKhU/qSIHAfwT1Abqb8oInegNlJ/ttWGIhUgNReKeSSf3GLc5oT78eph066WaYzOWy0kuURerDm6KLR6Q/woxXtWUhSPOmc3ELaGpUijykXtqZ2O2cKygwNWc3vqpUOmbTyAAPpIw+P4z/Q5ykVYtD6/0qj1DSamrYaIJNXhLVjzmi7Z5SMRivecsYV0M/Ejdv0IBaQSuRF7fD0zVoPkeNNKknIrlkgjJF+fUKxv+NpxPrzcHqohTJofxyXn99i+LVxl1+caHLk9tu/RvN1BhWJvQU9UrBEuX1a/dpVnLl6Lqz3FdVTTUwB/IyIK4D+q6t0A9qnqdG1/Oi0i6xkgDwAIZ3+cDKa1mj7ZZPqGbDroBR1b79yKiLwYbPQWAB8MFrsXwCPYZNBzHGdncB6WldF1nS7g7mBQC/MBVZ0KBrbjIvJSi+0127FewPQNOa+vtyJyCMB7ADyKjUdqXucoau/biPf7G7Dj7ATOQ6+bDel0G2xLp4I/Z0TkQdQ0ubMiMhaMHWMA1kOUJgEcDK0+AWAqmP5Bmv5IMH2iyfIb0vaHDBHJAPgvAP6Fqi5vtvw6qnq3ql6nqtdFe1q/4jiOc+lRCKrVSFu/zRCR3kAWg4j0ArgJwHMAjgFY/wJ7O4BvB38/BuATwVfcGwAsBQ9XDwO4SUSGgu8HNwF4OJi3IiI3BF9tPxHaVlPaetITkThqA95fqep/DSZvNFJvSKQI9L5Z9yhxLdVowepEub2bdI/DL/lBl65JYtHub8VKhg3xn8lZysnGdRwW6svnR8k3N021SXM2NjX/gs1Pt3eS6sqShpUbtfuO5azXK7ZGwlSZ5q+S767AAaJW05M18vHZpVGZtRpedNg+xUdO29uhN77ftDk/X99pK7rF8radG7W6F+taTJzz59G1C9fVLVN5E65Tmz5r28tXUOzsIsX9Jijf3ohtZ+g5JLfP3htc83d1wm6/Yk8dIqFLyfU+LpQOepP3AXgwcJHEAPy1qn5PRB4H8ICIfBLAGwB+K1j+IQAfA3ASQBbA7wGAqs6LyBcAPB4s93lVXVdXfx/ANwCkAXw3+G3IpoNeMHp+HcCLqvrvQ7PWR+ovwo7UjuPsZDr4IUNVXwVwTZPpcwA+3GS6AvjUBtu6B8A9TaY/AeBd7fapnSe9DwD4XQA/E5Gng2n/BrXBrtlI7TjOTqebw9BU9Udo/oUEaDJSO46z8/EsKx0iUlL0nqkbqEp9VjdKz1utpNxDXjC6DoVNPgZHSTPM7qdYXJvGrCFnG193zpNWDOVd43W57kIP6UKsySWXqPZplDyHVCehGiNfGv3PrEmqkXFq2i5AvrzKWcrv12N9fZE9I3b7C0u2XaR8fQO2fgn7BlOzdvlKyupWxT4rTrHOxV46rqvLvrxKqkWbzh1fO47BTizZvpYGqGYw+TujK6TJJVoPKGv7afv9nBvQLh8+Fu1AuQwFUK36oOc4Treg2Lzi+A7GBz3HcRrw1FKO43QXPuh1BqlUEV+qx3QmZq3wsnbI5miLr1FsLMVncm2Capy8bXtJ9yGvFqXnQ4U8TkkqGxEjjTCc56xoQ2uRzLHIZpulHtu3ctp2pm+SNDKKE672W/Fm9aAVrRIr9mB6VkkAXbaCpiSsD66atcJWlPLnYb/N9xcpWZ9gedQuX03Y/lapzkRy3sb6rhyymmJ+qHU8aom8dkK2RdZjw9eea2TEshTnm6KYbKq/IRV+FeS4aK7ha+/7Mm2f7yXWJ7k+SLj/vOyFcdHJBLY1/qTnOE4j/qTnOE7XoID611vHcboLH/Q6QjUZxcqRuviSmiOvFvmXwvU8gUav28JVtH2uXUDrF8irxTGSnC+vSjGYIC9YYjVUO5V8eoUhyqk21bpuAtdlze6xB8M1IioJqgvLuQGHqKbwfquxxVJUX4RrYvTYAE9dsxpfZZzq4MZIc2udsRvVuF2e40+LlNuQY0pZo2NZLT1jz0eJthcPXS/28HFNCt4XXyvWBKNTVPOCtWfyWOZGKE8jxYBzPr8eit2Nr9SXZ7/oBeOvt47jdBU+6DmO0zW4OdlxnG7Dzckdohq3cYXZvVY0K3N8JGlqrJ1ESGsp91JOthzlw8uRzrbM/qtmvQ7Np/7FQvn5lDSsxBJ5vciXxt4v9oYVBlmzs/tOnyM9lOoqCCV4XB23B5fotyJZZsaaErVsz6X0kuY2RCeLjj951mqAUqW46l576y2P2/6wp7JBdyONjzW8CulyHJscvtacay99zvY1N2rPZWGIcx+yxkc1dymWt9hLNXjZh1doXZ+ZXz3D8bYde0Dzr7eO43QT/J/EbsIHPcdxLAr/kOE4Tjch/iGjU1SjQDFsF6PzWhy0WgrnBmPthP1MvL0Y1aKNks+OvV9cS5Z9fuy3CvsKkyt2ZnyaajyM2FNdKnPsLWliC5v1hb1crCvRuRTSN9coP9/IIFpR2GuLOuWH7fFwjrfEInnVVu3+4stWk4zl7cXgOOvcXnu8cdJjef8NTyrUDns6y1SvqtTLvjk7Pz3DmlvrxyL2UHKuRO47ez7Ze8cx6W/J+ORPeo7jdBXVzRfZqfig5ziOZZf79Nque+s4Tvcg2t6vrW2JREXkKRH5TtD+hoi8JiJPB79rg+kiIl8RkZMi8qyIvHbzAKQAACAASURBVDe0jdtF5ETwuz00/X0i8rNgna8E1RtbsrX59KpAPORZWn6HNZ8J6VwaJ10qT+LKoDXqxVN2e6UlK9awJtiQN419gRzfSbpZWKuJZakW6oI1FZbT9v+XNYo9ZX2RbyjOP5fdZwMyS+T94nx86SXbnwZNsMd2IFKga0PLR6kuL+dx41jalLBvjvZPl7bBs5mmXIa9VJeCaoKkznF/7PrF/fXzE0mSvlm21yZ52p7rPPUtpa312EqStWi7foVia4tUEyOa5+3T+uEw6U49oHVW0/sMgBcBhAun/GtV/RYt91EAVwa/9wP4KoD3i8gwgM8BuC7o2ZMickxVF4JljgL4CWo1c2/GJnVv/UnPcZy3DBGZAPDrAL7WxuK3ALhPa/wEwKCIjAH4CIDjqjofDHTHAdwczOtX1R8H9XLvA3DrZjvxQc9xnAbO4/V2VESeCP2O0qb+BMAfovHTyF3BK+yXRWT9HesAgNOhZSaDaa2mTzaZ3hL/kOE4jkVxPmFos6p6XbMZIvJxADOq+qSIfDA0604AZwAkANwN4LMAPo/mL+d6AdNbsqWDnkaB/HCoTzE7+I8dmjftqddtrdXUAVvXoVKhWqkrVhyJZOzxp2bJG9fTWmvhvGdMMhRfy8sWB2xfWA9MLLeuocHxm5wrsMS+vhW7fKREeijlu4uukmBJmltkyQZ8RtNW84uvcDwq30p2e4vvsDUvOD9gg0ZIOhnHo6ZmKdaYNMXsGOXT6yOfX2+o/nLe9p2l8MJeu/HEOXujZMdJLxywG+idIo2OY8jZl1dsfV9y7Zc430udoDOb/ACA3xCRjwFIAegXkf9LVf9xML8gIn8B4F8F7UkAB0PrTwCYCqZ/kKY/EkyfaLJ8S/z11nGcBjrx9VZV71TVCVU9BOA2AD9Q1X8caHEIvrTeCuC5YJVjAD4RfMW9AcCSqk4DeBjATSIyJCJDAG4C8HAwb0VEbgi29QkA397s2Pz11nGcRt7aiIy/EpE9qL0OPA3gnwbTHwLwMQAnAWQB/B4AqOq8iHwBwOPBcp9X1fXXwt8H8A0AadS+2rb8cgv4oOc4TjM6POip6iOovZJCVW/cYBkF8KkN5t0D4J4m058A8K7z6cuWa3qlcHwtxc5On7Xxn5Ee6xWrkrh6aNRqgG9EbG3XQs6KIYVhuz/25SUW7fbze2j+Ejak2G+VgtI+u+/0gtWwuIYu58/LcT64SutarCxUxLKkU9H6ZaqBEV+z5zqSJPMYUaUaHRw/Gs6bCDTqUstHKF8geSj5H13mDTs/PWfPZ6GfY49JY12ja6v144+MWJEt+Yo9N6lZulZU/ySfsX1JLnCeRmqTJ5PPTWLFtvMjdv9ro3QvrdXPJdfTuBDOx3i8E/EnPcdxGvEkoo7jdBO7+Ulv06+3IpISkcdE5BkReV5E/iiYflhEHg1i4b4pIh14sHYcZ1ugbf52IO086RUA3KiqqyISB/AjEfkugD8A8GVVvV9E/hzAJ1GLg9uYiEKTdT1iaMT67hZmbW3WyKztXpm8V0tUyLavxxY7SF9uvWiVg6SbvWA1RI5/ZdgrF9bhirbrDTUtCkOcHNA2OdaUvVtc34OTYBRJ00qSPsk52PiGLVLNjEp8wK6/THVxKUdcnGKPo0XSOClnHWuAhWG7PvvuuOYFa4pC57uh1iz9l6zxev/jp+zJTyzaZbnGRd7aR5Gcp3okB+25SZ9jfRYt20V76hu0Z+2hWOHh+rXRRAdyQu1yTW/TJ70gDm59dIoHPwVwI4D1gOF70UbMm+M4O4Rd/KTXljk5SA3zNIAZ1IJ9fw5gUVXX/3/dMOZNRI6ux+VVVrisk+M42xGptvfbibQ16KlqRVWvRS3M43oAVzVbbIN171bV61T1umhfb7NFHMdxtozz+nqrqosi8giAG1BL+xILnvbainlDRBHL1MWqoR5btCJPulIub+M1IxWrjQynrdjyzoFp0z5AiceeX7UPo88lrU51ZnLY7m+VfH7WBojUTOj/DNLYSpT/rURxwKzRcbwle7XK9lQgP0qxthRKGyWPYj/5AtfIR8i1V6tRWv80aYRZK6IpHU8vxSIvX2a3VzxgO3xgzF6rpZzV2bJrVtjKw86P0v7LPXT+B6lGx3Bd/y3RyRWya6zRO0xDzYtN/hXlyR/KHkJ+YmI/aENM+Jqd0Dda18ajXDfmQtmhr67t0M7X2z0iMhj8PQ3gV1FLCPhDAL8ZLHY72oh5cxxnB9Bm3O1O/djRzpPeGIB7RSSK2iD5gKp+R0ReAHC/iPwxgKcAfP0t7KfjOFvJDh3Q2mHTQU9VnwXwnibTX0VN33McZ7fRzYNeJxlK5XDrLz3zi/YymdOSUasT/Zzy5WXIh9efsG0mJdbsdkP/z1suH6Xn9eW81ZFScdu/c711Q1XqDWsEY19Ytc9qSiXymfX93Oo0XDeB44bLtL1I3m4vO2bX15i91Ow1a/CO0U1f7rEdylBd3/QZG7+amrPnfnWchKmCbe/vXTbtvT1W1JxMWE9lrtfub3XRxsvy9ofGNw6crlxu+7oyaLelVDMjdo4MnSQSVfdSwrwlu3yVYnE57riwh0Q+uhZC2vZatn6fcnz6hSDYuV9m28HD0BzHsexgva4dfNBzHKcRH/Qcx+kqfNDr0M4iFexN1LWbHAlXrNH98ri1/r26YIWoctWKKWNkcKqQ2BKH1aHenZk07cG49f1973XrwT43ZXUlhOr05seoTiznhyO45gPH3nIccDVu78L4gtWsEsuUP45qpxao64Uxq2NJyp4biZCGOGk7WI3T/hepbsR+iuXldBS0/aGE9Wxe0TNj2muld5g2ezRfLdhbOTFg76XLBmxAbSQkWq2VrHa7fC5j2lHK61im3IcxOnYs2oOVYavxVddI4yMPZ2SFtkfEsqQJLoZM//m24g02xV9vHcfpLnzQcxyna1D/eus4TrfhT3qdoaxRzJbqiedOrozazkTsfy+Hem0NjIkDVpdZK1stJhO1Os7jy4dN+9Sqja0tlO3hs1dsddYmSIjN2eXDOfNK/VxnluItF+26rMs0xIqSJqdxu/0K2dKkYnWg+CrVcaC6CslBe64OjthzO7XYb/tzuV2/WLTxqmvjVsfKUx2JAtV54HTkj05fZtqn+uy1GkpaDe/ZqXG0YpDiuq/ut3HZ8VCw8d/OXGHnZWxccHnW6pkN9TyI9FmqCVwkwbaf9N8ExQVP2GtTnLb3IeciTIb+mXAexwulk5peEM31BIA3VfXjInIYwP0AhgH8FMDvqmpRRJIA7gPwPgBzAP6hqp4KtnEnajk7KwD+uao+HEy/GcCfAogC+JqqfnGz/njdW8dxGulsPr3PoBavv86XUEtAfCWABdQGMwR/LqjqFQC+HCwHEbkatbq57wRwM4D/I0h3FwXwZwA+CuBqAL8dLNsSH/Qcx7G0O+C1MeiJyASAXwfwtaAt2DgB8S1BG8H8DwfL3wLgflUtqOprqNXFvT74nVTVV1W1iNrT4y2b9ckHPcdxDILzyrIyup4kOPgdpc39CYA/BLCuj4xg4wTEBwCcBoBg/lKw/C+m0zobTW/Jlmp6S4UUvhvyvo33Ww0tQYLE/qT13Y3Fre70S0nr4/vhqn2ynStY3ennk7aQ7eioje985k06X/Q/WaXP6lrlZEiLIY1KCq3/P6km7Marl1kdJ9NLccYp6/Xi/2SnxOqjpbLtT2rMZq1++55zdv+UEHAkYzW0hawVEVfHrc9vIW69Z5TKELFV1jDt+VmZsd641UXKpUiaZjRmdbDrL3vDtPMVe2tnKRh6IFLX/K4aPGvmTS9YPVPoXHI+vAbfHOU25BoZuQjFWZP+W6WY85G3WW176Vnyq4YuDet9F8p5aHqzqnpd022IfBzAjKo+KSIfXJ/cZFHdZN5G05sd7aY996+3juM00pkPGR8A8Bsi8jEAKQD9qD35bZSAeBLAQQCTIhIDMABgPjR9nfA6G03fEH+9dRynkQ5oeqp6p6pOqOoh1D5E/EBVfwcbJyA+FrQRzP+Bqmow/TYRSQZffq8E8BiAxwFcGZSjTQT7OLbZofmTnuM4lrc+y8pn0TwB8dcB/KWInETtCe82AFDV50XkAQAvACgD+JSqVgBARD4N4GHULCv3qOrzm+18Swe9alWQXat7lnqGZ838awbeNO2rUvZJdX/ManrfXb7GtEtUTGCBNL2xfXb9uWXrfyq/aZePUd0K1uE0pKWMT8yZeVOnre7Cac64zR5FbqfjVkMrkS+vb8zqk8WivbR7+22N4Xf0Wx2L45gXk/Zc/H/kecyMWM0vm7KeybV+LjRrm/FFu79K2R5PdZRigelfYSJh9d8qFwImJrM2+PhUtX59WM9kqkm6NlQ7paGGBR06161lEuQL7Cc9dyVrN1A9ZD2IhdP1G7HaOmy3fTo86KnqIwAeCf7eNAGxquYB/NYG698F4K4m0x8C8ND59MWf9BzHacDD0BzH6So8y4rjON3D+UVb7Di2Np9etIqhgbpfbCbbZ+ZfM2a9Vj9YsvnsDiStJndyzfruXl+2hWmLpBMVKdZWSQeqDpBOVLS6U4S8d5F4XXeamrKxokJ5zWKrtl0+QL476ks6YTW8kZT12bGnMVvaZ9p95OvLlqyPboUS+FVo/4+fOWja0ah931lbpnhU8tHFRq3uVFyyulQsS/n4luz+s1ErjEXH7fHnc3b+Y6cOmXYqbXUyXj5MnPTBd43ZON0TCXuf5YbtucxnKX8ea36kCUaobi3rmazhCUmOEdJ7o2v1BTr2WuqDnuM43cJ6RMZuxQc9x3EakOruHfV80HMcx+KaXucol6OYm6vHWL73iNXw7pn6e6Z9Vf8Z035q2epMEboycdI6FvPku6N4zVTS6mbFLBWmiNrtc23YSj50+qgWaeos6YlDpOuctbqNHrAaWCZuNamDaRvM+sSczT8Xj9rOLedIc6P3lb+bPGL3RxpgoWDPBWtykiNfHZ2rCml8yTN2e5T6sMHblpi3Gmi+h2okUz7A0pT1XHIOOyWPZSTkwcwPWk3vyUXrSTx4mfWTFsgDmei11yoxRHrrazaWN8nHFrXntjhg54/usTHqcyesBzQdsmh2StPz11vHcboLH/Qcx+km/EnPcZzuwge9zqGhoNOfPvs2M6/vgNUu+uNWt2Fv2qllq21wjYse0sUmF2385fKC1fy41iv7rap0tmLz9Qlck4Lr1saXqW7CMIkvRbuvMyvWw7hUsOcqFbPnYmbe6kZMmWqtImb3X0jZ+ewbjM+Tx5G2HyNfopQoNvgNu0Ysb/ef3Usa6ARdC/JMFuZsfr94nvIZWrkWyTnySfaGtk/HVsnYvk39zHogOQY7ttfqsTny2SnVLOZ7Q/uosAUFZs+eo2vLcdvZ+vY7oul5NTTHcbqJ3e7TazufXlCI4ykR+U7QPiwij4rICRH5ZpDPynGc3YBqe78dyPkkEW23opHjODuc86iRseNo6/U2VNHoLgB/EKpo9I+CRe4F8G8BfLXlhkqC2Ez9gbCSsmeNNbY30jaWdn7Nzi+SDrZasA+bOWoXztr14yPk9SIvWvoc5XxL01UO6V5cFyFmQ0UbfGisAVaoLm2J4jGX56wPjUU1ybZOpBbL2WOpks6kRdvBCHkSi8N2Qs8b9tbpnbbbS8/a5Uu9dv/Rkl0+M0XL99njKe2hDtF/1yUr1yLzqu0f55mTkK8yYUuxIHrOLlymGsPFQaqVQvoiSA+LrbS+j6IL1Nck1wi2zd7TtL3wpWudGrA93JwMoF7RaF1db1XRyBBURzoKALHBoWaLOI6zzdjNHzI2fb0NVzQKT26yaNP/G1T1blW9TlWvi/T2NlvEcZxthlTb++1E2nnSO9+KRo7j7GQUO/YjRTtsOuip6p0A7gSAoHblv1LV3xGR/4xaxaL7YSsabQh/CifbHSJpa66amiWh5gz5n+g5dWHQGqB6XrHL91k7FSIv2SfPtXGqw0BaT7nEtVvrf4/Rtvm5l3Uh1pgq5EMrRykfX9qerPKKPdYI9Y3rNkRtaC1i2dY6U4lq/Pa/Ql420ihjObt+OW3703PWip7VmJ2/fNhukEteSJ5y1JGnMko56jhOOkbHr6Hu8LVpqFu7SnHFKe4cWsKCf4TijtnDGV9j7dg2EyukKYb747G3m3IxJSA/i9pHjZOoaXxf32R5x3F2Ch0oAQkAIpISkcdE5BkReV5E/iiY/g0ReU1Eng5+1wbTRUS+IiInReRZEXlvaFu3Bxa5EyJye2j6+0TkZ8E6Xwk+tG7IeZmT26lo5DjOzqbD5uQCgBtVdVVE4gB+JCLfDeb9a1X9Fi3/UdTq2l4J4P2oOULeLyLDAD4H4DrUhtsnReSYqi4EyxwF8BPUKqPdDOC72IAtjchQAaqx+tmMrdGA/HLGNMtUBpBLMvIrUOQc2S7o9XnoBKWSythXomiOQpk4kWLEzg/bOrjMH79eFQfpFSlDC1DoUYzCxA4OzZv2K6tjti/0eluhVE8NIXT0CpecpVd3m7kKlF0evVMkBaxQycZNXrMKlHK9kqBzS2FkmqbzVW69vNC159fv3N76+krnpkKvu5yvPWkvBSrJ85MW4isUYkf3WWbaHitvL1K0y6+Od/ifsWrHkogGxbrX64/Gg1+rjd8C4L5gvZ+IyKCIjAH4IIDjqjoPACJyHMDNIvIIgH5V/XEw/T4At6LFoHcxr7eO4+xW2n+9HRWRJ0K/o7ypIJrraQAzqA1cjwaz7gpeYb8sIuuPDQcAnA6tvm6HazV9ssn0DfHYW8dxGjiP19tZVb2u1QKqWgFwrYgMAnhQRN6F2sfRMwASAO5G7RvB57GxHe58p2+IP+k5jmNRAFVt73c+m1VdRO2bwM2qOq01CgD+AvXvA5MAwinS1+1wraZPNJm+IVv6pCdVILZWH2fZ5lEh3Sg9SamdWDcj3SZKOhXbKhaPWB2p96wVnjJn7AZja1ZbWTpMKdNDq3Pfw5pRbWFKR7TCFgvbJgkKr8yOm3aUS0pyiBxZOjRKmh+FAOb32nPBNgo+vsIQpZ4iCwxremzzYI0xQmFpFdp+ZIlSW1EYXSxL/SGbSSmzsQZIp77BCsUaHD9bsD2nZKXpBm2Z7/vEWgsLCtCgKWZHbbswGNInW0cjtk+HPmSIyB4AJVVdFJE0gF8F8CURGVPV6eBL660AngtWOQbg0yJyP2ofMpaC5R4G8O9EZD2s6yYAd6rqvIisiMgNAB4F8AkA/6FVn/z11nGcBjr49XYMwL0iEkXtzfIBVf2OiPwgGBAFwNMA/mmw/EMAPgbgJIAsgN8DgGBw+wKAx4PlPr/+UQPA7wP4BoA0ah8wNvyIAfig5zhOEzr49fZZAO9pMv3GDZZXAJ/aYN49AO5pMv0JAO9qt08+6DmOY/EsK51DKo2hXWFYg+PQKPbCsTerOEQ6FqfVppTmuWG7QJR8gLm9tkPpBavxVeKh9EScSirG4ordd6mPNCnyLMaX7b7z+6zuw94yXr+01wpJFbqJK/vtydOS7Z9SCvTSrDWvRSit1/Jh204s2R1m97XWFBPLdC3I2zb4Mutmtr+8v3jWtlnvDetgrLGxppcfZZ8eexRpXxzyxiGHpI9WC6TZ7aEQxDzpk720/Hj93uBU9BdCzZy8e0c9f9JzHKeRHZpBpR180HMcpwF/0nMcp3twTa9zSNXqHQXKHFUcss/UEdLYKr2ka5EWwlpMg1eMNMGErRiJ3BDpUpTiJ0raSjRX30GJ4ng5PVBDOiISHCuUIrxEJSI1ZfXEyDKleiKNjOdrjDTEBMWyJq0GWK1Senfy4ZkSigCK1P+stRUiSrpZecyKbLGcvTg9sxSfSt1N0XxOPx8r0L9aunaRULr43AjpreSzY/ha9p615441vNww56q3zdUDrT2OfF+zlt3/an0ByuB1gXQu9nY74k96juM04q+3juN0DbpzU8G3gw96juM04k96nUEjVlfjHHNKOeDib1s17SNDi6Z9cmqPacfeIAMUZ93msoEUj8k6Ead05xTnlWQojjhPGhzFuq6Nkc+MfHrlESvU9A5bEezAgDU4vnLCimZC+fTCMc4AEKVY2oLQuRogoWjJGr7i5D0rjrDIRnosaYaULhBYsD7EWNbOZi9aaoHuFbqWZcppl1yy+48vk28xXb+4q+O2L+UM6X8NOhnFvg5weU2KMyb/KcdlcxxylNLJl3rs8ulz9O8kpB9zPPoFs3vHPH/ScxynEanu3vdbH/Qcx7Eo3JzsOE73IFA3J3eKalKxckVddBCqc9B3mTXOXbPvTdMeTljhp0ii2xvnbN0Iqdjtc9wvazXheMxm60epNkExFP+Z3Uua2RD78myz4esYiV5//+DPTXsqO2DaBw+fM+3Tb4yadonyzUWn7KXuPW3PXeUMlVikO6M4YDssDQVKSHMrk86Vs9tnzZGvRanPts+9nTVTu78UHV9yhWKJIxvX5OA0SqUREsbYNyd2X/FVey7yFNNd6qfNkWeyOEy1YJapdgv5UVuVoOxcPj0f9BzH6SZ80HMcp2twTc9xnG7Dv952iqogEsppVx202km+YHWXdNR6x9bKNj5zKGk1vqUrFkx7Yc4GUeZgDVN9r5G3jQpTpBbthef6pmF/VYPOQrBGxtpLvN8a4XopKduv7XnBtP9u4UrTzlPt03NnrQbIJaBKvbbNsb+VHrrpaX1NUp3bFdK5lsgnmG9dG7ZIulfuMnvtM3ttwsJYxPZvMWpFwIWSvZf6XydNMNQdjrUVOraJffa+Oh0fMe2VMhnx6FaoJMj/mWz96hijcxUhj2SZ6vLGV0K77shYpf566zhOF6HwQc9xnC5j977det1bx3EaEdW2fptuRyQlIo+JyDMi8ryI/FEw/bCIPCoiJ0TkmyKSCKYng/bJYP6h0LbuDKa/LCIfCU2/OZh2UkTu2KxPW55PLxGKAS1E7e4lY8WLZ2YPmPZl/VZbmclaHac/ZddX8kutnuUYS9u/vpcpZ12ZctylbX/LofhQ1l2EcvdxrC3nBhzssRtYLtvY2GdXJ0w7Qsa/VIy8ZeSBzB8kIxzpTpkhq48O9djY35W8PaDCY8OmXemx/emdtNvn2g3swytQ/kDW8Pb3r5h2OmY1v5VVK3TlJjgedmMDW6nP7juWsOfyzILtrJAnsUSxulWKQ9aM3Z6QxxDZ1v8M2UcYp3os4Xh2jkm+YDr3elsAcKOqropIHMCPROS7AP4AwJdV9X4R+XMAnwTw1eDPBVW9QkRuA/AlAP9QRK4GcBuAdwIYB/DfROTtwT7+DMCvoVb4+3EROaaqVgQP4U96juNYVIFKtb3fpptSVdX1zCHx4KcAbgTwrWD6vagV/AaAW4I2gvkfDgqC3wLgflUtqOprqNXFvT74nVTVV1W1COD+YNkN8UHPcZxGVNv7AaMi8kTod5Q3JSJREXkawAyA4wB+DmBRVdcfgScBrL/WHQBwutYFLQNYAjASnk7rbDR9Q9p6vRWRUwBWAFQAlFX1OhEZBvBNAIcAnALw36vqwkbbcBxnB9H+6+2sql7XelNaAXCtiAwCeBDAVc0WC/5s5v3SFtObPbi17Pz5aHofUtXZUPsOAN9X1S8G4uEdAD7bagMaU+T31fWNSIHiL0krqVCdhjNr1sy1v9fG6kZI/ChUSMe5yo7Jay8OmfbiFfZ0cJ4z1ktSc/X9cY40JnWO4icpvnIxY41zPyodMe3DI/OmXajYzpXoXI2O20Dj+UW7/SNjs6Y9krJC0UK+x7QnF6yGFycNb+AEWlIgjbNM67Pml10lDZE0xn1pq/FdPTFt2q+mrZdu9Ep7fK+/Vs/FGCXNrVKy16aa44R3dJ8OW30xSvVMqhTDzZphqcL6q31tTE5aLZrrQ4frNXck9lYBvAU1MlR1UUQeAXADgEERiQVPcxMApoLFJgEcBDApIjEAAwDmQ9PXCa+z0fSmXMzrbfjdO/xO7jjOjkYBrbb32wQR2RM84UFE0gB+FcCLAH4I4DeDxW4H8O3g78eCNoL5P1BVDabfFnzdPQzgSgCPAXgcwJXB1+AEah87jrXqU7tPegrgb0REAfxHVb0bwD5VnQYAVZ0Wkb0bHPRRAEcBIDo82GwRx3G2E4q2PlK0yRiAe0UkitpD1gOq+h0ReQHA/SLyxwCeAvD1YPmvA/hLETmJ2hPebQCgqs+LyAMAXgBQBvCp4LUZIvJpAA8DiAK4R1Wfb9Whdge9D6jqVDCwHReRl9o94mCAvBsAkpdP7F6bt+PsJjpkWVHVZwG8p8n0V1H78srT8wB+a4Nt3QXgribTHwLwULt9amvQU9Wp4M8ZEXkw6OxZERkLnvLGUPsy05JoooKhA3WtabzfanJHMlZnypF4UaUcbnMFq1NxLO6BjNW1shQjOfoP7Kv/i3P7TXv2DXoypRx15Z766Uva8h1NdBfbXiPdJnrGalj977Z9Xy5Y395wyh7rmWXrJcvlbAdSaduBmRVrUmTfG6Ol1koI5yKMcK0Gjt3dpEZxg5eNmM5afbePinhcNkTxsov2Wh46Ur9dExGrwc3nrJ45SwnxJGo7OzJia7mwfjo4aPXEMumvlbIV4tgHWEmS4MmpGkP1WLahT2/bsekpEpFeEelb/zuAmwA8B/vuHX4ndxxnR9OmXWWHDoztPOntA/BgzR+IGIC/VtXvicjjAB4QkU8CeAMbPJI6jrPDUADdnFoqePe+psn0OQAffis65TjOJWaHPsW1w5bG3qZiZbx9pF7b4fqBU2b+Fckzpl2iJHRzFatD/XjpbXY+aXwxsVrNOwesl4s1w48ffM60/+/Ku02b4ztLg3V1IFqwukx+zO67uEo1G0izqo5T7G3WaniXD1uNqkrCTp40PD1r18+NkI9vxPrcUpS7cHLJ5uOLrFENDRJGuLZrwVogoRyvOkrxqOTZZG/cRMaKpqzpvTxjzQNv22P14cPD1udYDHk4D/RY/XSi1+7rnPbdegAABhdJREFUWVhmJ60+mC9RDDlpbguzVm+NpeyxR2P2XimtkKmRanZEl+y1iK+E6n1QOeILQzv59Xbb4amlHMexKKBtePB2Kj7oOY7TyFsQkbFd8EHPcZxGXNN7a7g8YXWXj5C28nrZesteKu4x7VMrNh6UfXpVEp5mi1YTXCPf3lTO6kTXUt3dlxJWN5qL1jXEzBEbG1pds5paesJqZkXyZqUSPN9eGo4rfnPZ9vXAqNWhVvrssb1j2NbJ5fojPz1r8/WtUP8bQripvXqYNLpe246Qhnn5HqtR9ifzpl2g439pzp57Pj/7BqxGybA37vJMXeNbKFpf3muLNm53jjQ5UA0N1lOr5GkUqvmrc9Z3J2SRlHF738dSdoFy1va346h299dbx3G6EH/Scxyne1BopSOfgbclPug5jmN5i1JLbRe21qcXKeGqTN2Ld2Pa+vKSYrWKPRGrZbxAUXNvH7DhvnEK4PyV/pOmfa5stRnW/PKU1O3pZatzcX6/8eF67PBvjFs3V5L6/vyaTeY6S57C1ZL1Zg2TPpmkYNZc2fZ1T9rGf75/j/WlLZasxzBDdXXfu88WtTixZPXTtT7bnwh50fpTVpPj/Hysqf1S31nTHktYPXelYjXFv5UrTHuJYpF74lYHG07a/f+DwVdMezZ0L/w/879s5i0u2/twcNie24Up62GsUM3fngm7/JravnL9ZCza9TVvNcAybT9SpNyMoUvbudhb1/Qcx+kSFID6k57jOF2Dqj/pOY7TXezmDxmiW/hpWkTOAXgdwCiA2U0Wv1Rs574B27t/27lvwPbuX6f6drmq7tl8sY0Rke8F/WmHWVW9+WL2t9Vs6aD3i52KPLFZBaVLxXbuG7C9+7ed+wZs7/5t577tNrzureM4XYUPeo7jdBWXatC7+xLttx22c9+A7d2/7dw3YHv3bzv3bVdxSTQ9x3GcS4W/3jqO01X4oOc4TlexpYOeiNwsIi+LyEkRuWMr971Bf+4RkRkReS40bVhEjovIieDPoVbbeAv7dlBEfigiL4rI8yLymW3Wv5SIPCYizwT9+6Ng+mEReTTo3zdFJLHZtt7CPkZF5CkR+c427NspEfmZiDwtIk8E07bFtd3tbNmgJyJRAH8G4KMArgbw2yJy9VbtfwO+AYCNlXcA+L6qXgng+0H7UlAG8C9V9SoANwD4VHC+tkv/CgBuVNVrAFwL4GYRuQHAlwB8OejfAoBPXqL+AcBnALwYam+nvgHAh1T12pA/b7tc213NVj7pXQ/gpKq+qqpFAPcDuGUL99+Aqv4tgHmafAuAe4O/3wvg1i3tVICqTqvqT4O/r6D2j/fANuqfqup6OpF48FMANwL4VjD9kvVPRCYA/DqArwVt2S59a8G2uLa7na0c9A4AOB1qTwbTthv7VHUaqA08APZusvxbjogcAvAeAI9iG/UveH18GsAMgOMAfg5gUVXX82Bdymv8JwD+EMB65PwItk/fgNp/EH8jIk+KyNFg2ra5truZrUw4IE2muV9mE0QkA+C/APgXqrosXFT1EqKqFQDXisgggAcBXNVssa3tFSAiHwcwo6pPisgH1yc3WfRS3n8fUNUpEdkL4LiIvHQJ+9JVbOWT3iSAg6H2BICpLdx/u5wVkTEACP6c2WT5twwRiaM24P2Vqv7X7da/dVR1EcAjqGmPgyKy/p/ppbrGHwDwGyJyCjUZ5UbUnvy2Q98AAKo6Ffw5g9p/GNdjG17b3chWDnqPA7gy+IKWAHAbgGNbuP92OQbg9uDvtwP49qXoRKBBfR3Ai6r670Oztkv/9gRPeBCRNIBfRU13/CGA37yU/VPVO1V1QlUPoXaf/UBVf2c79A0ARKRXRPrW/w7gJgDPYZtc212Pqm7ZD8DHALyCmvbzP2/lvjfoz38CMA2ghNqT6CdR036+D+BE8OfwJerb30Pt9etZAE8Hv49to/69G8BTQf+eA/C/BNOPAHgMwEkA/xlA8hJf4w8C+M526lvQj2eC3/Pr/xa2y7Xd7T8PQ3Mcp6vwiAzHcboKH/Qcx+kqfNBzHKer8EHPcZyuwgc9x3G6Ch/0HMfpKnzQcxynq/j/AZkcsqnPPcgLAAAAAElFTkSuQmCC\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "img = np.load('27Jan2021173520_H17M35S47MS465_Detuning_-1.0_bcg.npy')\n", + "bcg = np.load('27Jan2021173520_H17M35S47MS465_Detuning_-1.0_img.npy')\n", + "\n", + "\n", + "print(img.shape)\n", + "\n", + "print(np.amin(img))\n", + "print(np.amax(img))\n", + "\n", + "plt.imshow(img)\n", + "plt.colorbar()\n", + "plt.show()\n", + "\n", + "\n", + "plt.imshow(bcg)\n", + "plt.show()\n", + "\n", + "ratio = (img+1)/(bcg+1)\n", + "plt.imshow(ratio) # set axis manually: vmin=0, vmax=2\n", + "plt.colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-0.26753144 25.85723839 24.1294853 6.53995167 7.31242205 0.98708385]\n", + "[0.00572625 0.13998402 0.15652393 0.15100408 0.16866566 0.00116003]\n" + ] + } + ], + "source": [ + "initial_guess = (-0.2, 30, 30, 8, 8, 1) # amplitude, xo, yo, sigma_x, sigma_y, offset\n", + "optimum, cov = fit_twoD_Gaussian(ratio, initial_guess)\n", + "print(optimum)\n", + "print(np.sqrt(np.diag(cov)))" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Fitted model\n", + "img = ratio\n", + "ysize, xsize = img.shape # rows, columns\n", + "x = np.linspace(0, xsize-1, xsize) # could you arrange here\n", + "y = np.linspace(0, ysize-1, ysize)\n", + "x, y = np.meshgrid(x, y)\n", + "img_fitted = twoD_Gaussian((x, y), *optimum)\n", + "img_fitted = img_fitted.reshape(x.shape) # undo the ravel \n", + "\n", + "\n", + "fig, ax = plt.subplots(1, 1)\n", + "ax.imshow(img, cmap=plt.cm.jet, extent=(x.min(), x.max(), y.min(), y.max())) #origin='bottom' didn't work\n", + "#plt.colorbar()\n", + "ax.contour(x, y, img_fitted, 8, colors='w')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "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": "3.7.4" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +}