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Created January 9, 2021 17:19
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Computin a CT Sinogram
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# CT Reconstruction"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this exercise we will play with some of the mechanics of how CT scanner generates images. So far in the videos we have talked about the \"Tomography\" part. Now let's take a closer look at the computation. In this notebook we have some sample code that will load a real CT image and will go through the steps similar to the ones a scanner is going through to do the computation. \n",
"\n",
"You will see snippets of code in this notebook and some snippets will have comments that start with the word _TASK_. These are yours to fill - read task description and write code that completes the snippet."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Sinograms"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Each time a detector is taking an image, it is computing the amount of photons passing through the body. Since we don't have access to a real scanner, let's simulate this by passing a bunch of rays through a phantom image.\n",
"\n",
"> _Phantoms_ are commonly used in medical imaging. The word may refer to physically-accurate phantoms which are used by medical physicists to calibrate scanners and other devices, and images of phantoms, which could be synthetic 2D or 3D images used to calibrate and test medical software. Take a look at this adorable fetus phantom: \n",
"> <img src=\"Exercise. CT backprojection.img/baby_phantom.jpg\" width=\"300\" align=\"left\">\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Loading image and computing a single projection"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<PIL.Image.Image image mode=L size=200x200 at 0x7F09B291A2D0>\n"
]
}
],
"source": [
"# Our human body will be represented by a jpeg image, so we will use PIL library to load and manipulate it\n",
"\n",
"from PIL import Image\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import scipy.ndimage as nd\n",
"\n",
"im = Image.open(\"phantom.bmp\").convert(\"L\")\n",
"print(im)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us visualize the image here. As you can see it's a few grayscale geometric figures, quite typical for phantoms"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f09b2d45fd0>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(im, cmap=\"gray\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us compute a projection now. For the sake of simlicity we are assuming that our xrays are following from left to right, all rays are parallel, passing through the entire image. Note that we are just summing all values of pixels that rays meet along the path. In real world the ray would be attenuated by the tissues, and the intensity (or the amount of photons) is decreased as the ray passess through matter, this the detector is effectively subtracting the measured value from a known maximum value. Again, for the sake of simplicity we will do the inverse here - just add everything up."
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(100, 100)\n",
"[0, 0, 0, 0, 0, 0, 0, 0, 210, 3115, 5311, 6630, 7809, 8694, 9530, 10266, 10957, 11506, 12050, 12531, 13034, 13479, 13899, 14215, 14571, 14884, 15193, 15458, 15710, 15904, 16130, 16321, 16512, 16627, 16802, 16917, 16993, 17114, 17166, 16404, 15751, 15243, 15021, 14767, 14481, 14227, 14118, 13819, 13752, 13529, 13291, 13174, 13048, 12893, 12699, 12478, 12398, 12289, 12015, 12026, 11709, 11673, 11521, 11451, 11252, 11355, 11382, 11859, 11279, 10706, 9979, 9275, 8360, 7382, 6149, 4670, 1698, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n"
]
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f09a33b6ad0>]"
]
},
"execution_count": 108,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"projection = []\n",
"m = np.array(im)\n",
"\n",
"m = m[50:150,50:150]\n",
"print(m.shape)\n",
"plt.imshow(m, cmap = 'gray')\n",
"\n",
"for x in range(0, m.shape[0]):\n",
"# print(m[x])\n",
" projection.append(np.sum(m[x]))\n",
" \n",
"print(projection)\n",
" \n",
"plt.figure(figsize=(16,6))\n",
"plt.plot(projection)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"projection = []\n",
"m = np.array(im)\n",
"for x in range(0, im.width):\n",
" projection.append(np.sum(m[x]))\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And let's visualize it by plotting the accumulated intensities encountered along each ray. Effectively, this is a 1-dimensional \"x-ray\" of our thin slice."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f09a7e51ed0>]"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(16,6))\n",
"plt.plot(projection)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Rotate and project again\n",
"\n",
"Now let's simulate rotation of our xray tube/detector gantry and compute another projection"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f09a4dd21d0>"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"im_r = im.rotate(60)\n",
"plt.imshow(im_r, cmap=\"gray\")"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f09a4d81790>]"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"projection = []\n",
"m = np.array(im_r)\n",
"for x in range(0, im_r.width):\n",
" projection.append(np.sum(m[x]))\n",
"\n",
"plt.figure(figsize=(16,6))\n",
"plt.plot(projection)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# TASK: Can you see the \"tooth\" pattern on the rectangle projection on the right? Where is it coming from, what do you think? \n",
"# NOTE: You don't need to write code, just type your answer here\n",
"\n",
"Tooth explanation:\n",
"As we are adding-up the row values, we start by adding very little values, the top of the tooth is when we have the maximum values with the highest intensities and we start decreasing as the row goes down."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Computing the Sinogram\n",
"\n",
"Now, let's assume that our scanner is doing a full 180° rotation, sampling a projection every 3 degrees. What you will end up is a collection of projections (1D \"X-ray\" images) from every angle. Let's store projections in a list of tuples so that we keep track of what angle was used to compute a projection."
]
},
{
"cell_type": "code",
"execution_count": 109,
"metadata": {},
"outputs": [],
"source": [
"projections = []\n",
"for angle in range(0, 180, 3):\n",
" p = []\n",
" im_r = im.rotate(angle)\n",
" for x in range(0, im.width):\n",
" p.append(np.sum(np.array(im_r)[x]))\n",
" projections.append((angle, p))"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x576 with 12 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# TASK: can you visualize projections from several interesting angles (like all angles divisible by 15)?\n",
"angle = 15\n",
"\n",
"projs = []\n",
"\n",
"for p in projections:\n",
" if p[0] % angle == 0:\n",
" projs.append(p[1])\n",
"\n",
"cols = 4\n",
"rows = len(projs) // cols\n",
"fig, m_axs = plt.subplots(rows, cols, figsize = (20, 8))\n",
"for proj, c_ax in zip(projs, m_axs.flatten()):\n",
" c_ax.plot(proj)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"At this point our `projections` variable contains a collection of all projections. Effectively, this is what we get once our measurements are done. Let's plot all projections stacked together as a single image:"
]
},
{
"cell_type": "code",
"execution_count": 128,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f09a27d34d0>"
]
},
"execution_count": 128,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sinogram = np.stack([p[1] for p in projections])\n",
"plt.imshow(sinogram, cmap=\"gray\", aspect = 2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pretty, isn't it? This image is commonly called _a sinogram_ because it appears to be an overlapping of sinusoids (and there is some neat signal processing math explaining why that is the case), and sometimes people talk of sinogram as the raw data that comes into a CT scanner after the analog signal has been sampled.\n",
"\n",
"But how do we get an image out of this?\n",
"\n",
"Remember, that \"C\" in \"CT\" stands for _Computed_ and that's where computation comes in. \n",
"\n",
"The basic computation is quite simple. We take each projection and \"smear\" all the aggregated intensity values that have been captured by it across a reconstructed image. Let's do this for one of those projections:"
]
},
{
"cell_type": "code",
"execution_count": 129,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"bp = np.zeros((im.width, im.height))\n",
"\n",
"for y in range(sinogram.shape[1]):\n",
" bp[:, y] = projections[0][1]"
]
},
{
"cell_type": "code",
"execution_count": 130,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f09a302ea90>"
]
},
"execution_count": 130,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(bp, cmap=\"gray\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From here, we do this for all other projections, and then stack them all together, remembering the angle from which the projection was taken!"
]
},
{
"cell_type": "code",
"execution_count": 131,
"metadata": {},
"outputs": [],
"source": [
"bp = np.zeros((im.width, im.height))\n",
"\n",
"for p in projections:\n",
" \n",
" # Smear the projection\n",
" img = np.zeros(bp.shape)\n",
" for y in range(img.shape[1]):\n",
" img[:, y] = p[1]\n",
" \n",
" # Rotate the projection back\n",
" img = nd.rotate(img, -p[0], reshape = False)\n",
" \n",
" bp += img"
]
},
{
"cell_type": "code",
"execution_count": 132,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f09a2f22790>"
]
},
"execution_count": 132,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Ayz3ZlHfPNRyzgjAmveX+WACQXUWxyjAoaAvB4mctFWog0OWlj7xkyACuBVUCzFxfyvEzCZhXFAyMwGmsVb/J6sD/DZivIO/eE3BZxMIPrD8IROIA+/v7QzygRxNHZTJ8esx/q3zUZoaX18+WKzEmnfuhx6/vUaZ9i7QAaV/f42lF5/VyYEs7y7cVPAQwWJm6rpRdLpdr2463sfSX4SO0MzsGt02WkEnQRjYBXWYQ0OLHfbLQPHsgyPrd0roWXw8ENgVD3b7VrgcAY0BAa1Kdp1cBdJ+ipTmrvPQ5ikdoOjg4MF85z9uNewTX69uY+jsDApteAM1Lf/PrvSeTyXA8NFoG9PhKGZ0XAUDEi8tkBLYlKJrXNnhaJIKQCSha98RK8/oSmcCeqS/lPSDQwKGtiW0Qg8ZsNsPjjz+OUsrwPEOZm/xEY8sN2KTtFu0MCADbQUK+6GL6S548+EPcgLEA0JOntVyLjyew0W9uh/Oywp6ZLJ6gW3GUzBh6rYCsC2L5054ZnxX6Fi+rvmcpyAtnuM5isRgCpXLmwDqCnKExALJTIAD0mZtZPvzCyoODA9cFyPYj8l/Hng/whCASaObh1e3V9tFS5DbSW9cjK/xCno/eI5hZKqWsLQ/qfrRebCo0n88HMBGhn0wmWCwWW7NEevjsHAiMIT1gmQjyLEAAw2PAbt++vfVVgNbE9Sa+DpRZfC3rIOqDVd/rF/OK+hnV1yZ1VL4H4LNlvcmuNX3kFrR4ARf3C1jpXj2r7dlshjt37gzBQTlsJBuPWv3ZJl17ENDmfynrjwWTAKAcBoqeAtwiT+NGfCIhtspEQqzr9Hxb7Wc1dBbkvPoeWdertRlsjGm/qTB5gq43+kT9tfowmUzw1FNPDWcNuD3hL/tbvE1E0diy435oQIC1piAqf5544okUAESCp9u0+Eh97+JHW2Mjze0F+7LCH9XXa93eGHsEXJMHtMzTWyf32peyPQLe2mEoH2v3oPy2TgNGfHlM2hIRIPj617++do6FH2Sq+9BDmXt27UFAiC2AUsrwBqD5fD4AgKaW/5vdRsv5LUGOhHZsPeub+59xObz8iCLB1tH5HhcDsB+0kQnIeby0YOu8lhvAh360a7CpyS5KSvjI9mMJEEb7B7bhLlxrELBcATnDLb9v3bo1BGKYsi6A12ZvOb1PQMpkNHhULnI3MkARWT6ZpU0vv9dFsMpYZrQu52lLNp894dFCrMFCC733VuKxxGM7ODhYe3KxKC3rUNO24wTXHgS09hVzSnYFHhwcpEzRKM1K511lloDrshk/OgKAHrM/U77l0mjatntg8fKEVbsMOj/6bZnrlibncjqdDwVdRqBOrNiDgwMcHR25W5KzS5q9dC1BwNOG/IDQaDdgiy+QWyqTcpbQefxbmly327IcuI7FM7IYuP/WWCPgisboUWvyjqmbFXxJtzS/peW3Yepr/18E2DuoJGdYAAwvOfHOQuixb0LXFgQYJQUAtAXgPRXY4sfU2jLcu6PQEmYrPcrXFgG3EZVp1dH1dZ7130trUaTRNWUmuBZ6rmNpfu+3BQBRm5m+aYFvaXDJv3XrFk5OTgbXQIKE3HbPdczQtQMBPVEFLcUCmM1mw56AHn5ResYPbgFAxgLwylhj1jwiIIj4W2PICng2rtLzEhZNeqUgM+mjyD7/9oKFnK9BokW6n95WZY/29vZw+/bt4YThYrFYA57sIaMeulYgIL5TrXVtO7B+Qag8ATar4a12vHwtTPpmRLv3rG+ukxHo6CReBBbWuFqCn71eXr5cG+uBn0weSLDW06sN+nfEyxJ+q8xl+PsZ4rHWWgdLlh8+Aqy/XXqbYHBtQMCbvCIUIvzydqAWAIwxZyNtrfN1Ga9dCwBa1kJU3uur5ypweZ2WtYZ0ntbeOl3/1yBhPXNP/+6d/Nny2bjFpsLnxQuEBAT4mkgd7RJsStcCBPRklAsjJwPFAjg4OBgCK5r0U2E19SwZtsxmD7CsNjNC7QFFy03YxEWIAEBraY9akXxPoPh9gFb7VtuSlj0f0HIFMvWZeoKALRCT8vIwktVqNVi6fOJQeGb77NG1AAHAFyz9YBBdVgt3a/J6QpvZOORp25YL0KP9s8LfayFwuej69MQBLPAQ4uCcJxwCBsLP4yHpniD0CkrEi4Nznluix6MBQspyOtfndFFupZydL5AHkFirC2Pp2oCAUCkPjgfzY8LkZSEt7eTlW+fivS3FlkbN9FvKRmZ6plxL+Dkt4qXL6fFE1oBOtzSjkLV0x+1bQKAnt574mqKylpD0WA3ReDNCmAkOesAhAe6Tk5PhU8qZ+7tardJ9iOjagIDcNPkty4FyPjsCAE8jZbVaSzNGZndGGC3tr+tbAGAJs1cm6mNm5UC+W5aUF3Tjby1IWXNZr5l7/WhZBK0yY/J0+y0eGSAQkqPwtdZB8OXYMZ86bPXJo41AoJTyJQAvAzgBsKq1vrmU8gyAXwbwepw9aPSv15EvH/EmpsQA+NPLs/Xf04aRsEa/W7sKmacltNyW5yJ4wj/GOsheL02RYGowkDTP7PfW1y0NzuUsLZ8RYE8wI/KsDMkb0xerD/JQXJnrskIgJKtmGQDUtA1L4M/XWr9O/98L4BO11p8qpbz3/P/f7WGoJ6G31DWZTIZtwa2bpfn2BgkjAPDKtPqREV6rz60yHgh4PKLxRYBgkRcMZBdAgwD/5qCgTGyLeBOO1PeELxK6qExLWPV4ImEf43owyVw/Ojpae9FJFGBlujRLwKG3A3jr+e8PAfi/kAABa4J5GlG/Ncgz61vgoE3bzG+LrydUunxGM/do92x+FDjk+tY1b10Lvo4eAFgTVQuegICULaUMk92zCjQQWG1H/bbKcflIgHVfWv89AIjAQcc2ZM7LycJa69p+AQ8MWhbQpiBQAfxmKaUC+N9qrR8A8Jp6/vKRWuuXSymvtiqW4DVk5/nmbz4i7B0OsiyHnjZaZb20VwoAGIRadWXTVCT4rf0PTFEcJbP7Tv7LxNXxAC6XsQoiIOD8LGW0akvgNyWPn5yKlQNNfLCJ6/T2Z1MQ+N5a6/Pngv7xUsq/zlY8B4wPAMDe3p7ZY88KkJjAfD5vBvcyEzkDEq02PADgfKtcFgCsIB+n6VhCtp7VJpfhvrauB/v2PAlZ2LXmZ1+WtT3XyQp6BghYyKUtzyVgDbupOR9ZE9FeAp23v7+/9tpz6dtYAAA2BIFa6/Pn318tpXwUwFsAfKWcv4qslPJaAF/dpA2ZnHxCcG9vz3xGQC9f/hayAnNWvubDv6OAYctKyAgr4Gt4T/gzbWVcAu+aW0E/zouEnd0ALfxWni4nZVv+v6UtvfKllDX+3pKj/t8r7L1UShliAyILwGZnCjZ5F+FjAPZqrS+f//6LAH4SwMcAvAvAT51//+rYNlR7w0qAPDZ8Gzx78r3IPZf1gphWW5FQtoTc0v5ch8FK89JuQOSyWOPXsZTI9+UYgKf9pZwl5AwSvHWWNWDGYvDyPADQPrZlTej6lhBmwKYnICnWgLzRiE8cWpQBhU0sgdcA+Oj5BZkC+MVa6z8tpXwSwEdKKT8E4I8A/GCGGSO0fOtItzwvUF7goCm77u9RtIwXuRC6jgUAukzLV/cAQIMAl9f1pA0POLTlwLz0uFqWABAvA1qanwFBBwGljqRzXEBbAtynbKBN36vWKgGXGaNtteXSKtuixx57DMvlcjhqLPdNnkz0isQEaq1fBPDvGul/CuD7e/lZk40namtfgLWkZeXr9qw8j48n0NF4on5YwizfVp4WdsDW/lZZC0A8cImsgh4QsD76KT0s8AwYPJEtngwAWrg9INCKRv+3gKBXU3t8rH5xfjYuIPksC3zaUN+ny7YELo0sa0D+P/nkk918IoCwhFKX03EAq59cTgtPpGWtPmYAIBJy67cHIFZZ3Q8LMK1Jpk17SWPB1d96outYggCC8GKrQMp4LgCn6QAfj8sz0708zVuTdhE4vTfA6AFOKQVPPfUUvvKVrwzjkjG2QErTzoGApaXkmLDEAbRPmtXkFllnBpgskLDaafnVkaa18qRdz6T3QIAFmYVcyjG/FlC0rAIm1tLyn4VdgwGnybo3C7wIi6c59Te3yfVZq/I9jVYT9L3V9b2yluC1YgZeOltGEe3v769ZLfKC0x6w2TkQ0CQTdzKZ4Pbt282yEWVuJpNnQXgWQ6s/uo5lFbQAQC8NSTlL0PWTly2w4HTN2wIEvi5C2gKwACD6SF8EDDzfnS0FHSTU11drfaGWULVcgsjVGBMrGEvSln4cmfS3h3YGBDwNKR+OBbRMv8h85d86L9L0keBHJrSlPbVAWfUsIYysARZ2bQHo/1xedlzqehpYdB+EIs0vHwlWySk43vGmy7E1wNdKwEG7HwxIUl+uHwOF9NGbJ3o8PaSvRw8AtQBG8r14wnw+v3DfGLz45aYe7QwIAD4QyNODI7OdeWTS9GSO0NPS4FpYrbxI0C0tawk4WwCWJtdWgp4Qen+F9S1AICcz5aOtDetaAHbATgOAaCr5lnQuI8LugbIVYWf/nk/U6WU5zcvT6J4AM+n8jMlv1W+R8PKAQMrMZrO1PQOW4olo50BAvln7z+fz4SlCmjLAoPm30j2evUAhvCxrwjO3Lc3v+f3WR4RXBJrBwPpwlJnTI3fAAwH5bVkEDALL5XLtfPze3tkruVnryzdfT09wWEAsF8ESWmssm5rzGQDwymTqerS/v4/FYjFcT15yzbjAOwMCWlD0JN3kTcLMv6eMnvy6DIOF1uZeugUIETBkBF9rdt5arX9rwZfjqVzWskS8cVubg6wAoDwWazabDb8ZDPb2Hjw8kwGglDIAhEVaoBl8GRRYi+oylrBYsYGIrHJZjZ8lz1WQ+8hvMLL2UHi0MyAA2P63TFqgvSqQNX96+sL/Le0RWQC6jM6LgMESdKnr+fqWltdCrwXfAwBuy+ork7c3QFsEYq5zPwQMtDWgwWC1WpmKQNrmmIG0E92vKD5gRep1XuQSSJ2sZh9rBfB1F5eO50/mYSPAjoEAsC5E/B6BTB0mPXl1np4gFo8oLYoF6LSWdcD8LPehpfk5zRN8dqtEADVoeBaAdS21z90CgpOTk0E4T09Ph00u0jcGA++eWECg3ZCs5pe+e342l7fyIqCI8nXgUJeJrAedx9dfHyzi/JZy3AkQ8MximZxSxqsb5bfa1WQJd6bvFg9P2HU9LxAYWQBWAFCDgJjeAqTa9LcAwOu7ZwUIWfsEtBUgsQEGBb06wW3xM/SkbS3YItRawOW6eea+vrctIW6RHn+GPIHXAJYJDoo1wMpB77PwaCdAALCBQCZwpOm31XYrz9LaPULi1WPB84Jx1lp+BABy3eSgVQ8AcNu6zxFpjSy/9WYhFlYej1gFksZtetpXTH8hsTSi4KBlxrd8d63Fdb2xAOK1OWZHYSkF8/kci8UCy+VycK0ycYmdAwExU2Xy6nMCWeFv7QTkdpm3NfkyQmDx0OBgmfceKOgyniughVpM/v39/WGXpTyByVoBsLYOtwDOEkrPHdCxAS2M/Ex93SdpVz9nX7+bTz5yvznAKO3wUqH1zcLCwm5pZf3bI0sIM/XGkn5zEfDggaRRmzsDAsCDGyKaQIhvCgu3J5ie8HN6S7Aj3pGQeOm6ni5rBeA8839vL472y1FTBlJ2Eyzh14LnjY2/NQhk4gIMArwqIN9em5pY6IEH84LTWysHOq6h7/22g30aRDyAyWhvIR2TkesgVpEOklq0MyDApq+cFYieImxpJsDeBWilZ/tk8dB99tqW3xYAWDys4Bxr6NY6v2h9eRUbWwAMGpZV4VkC1jh5jBYQMCBY2l+EXgu+dU0iEAAwxBgk0ChAwPdDWyEWqFkaXvdJxxV47Lqf29T23LZ2XzTY8P2WfRmtOb8zIKBJBtIaQI9QR+RZD57QeiDkTWCtWbWwRYHBKAgYAYC4VnolQPNlq8OyAKLrw8TmtHzrCSx8OYhnXQfNR5NldUh8gJcN2crSgUO2BjhNt+9pZq3NPerR7Jag6zF7fan1bBuxXmpttb8zIMDaLgpGZWMCmfasNK/dDB9L6L04A2tj3bYVF9A+M28C4gevivDLR8cNBGC8FQHpDwtj5prIxGUXQOqJoFmCb1meHk4AACAASURBVJEsIVogYFkaeqKzNeBZNdoK0BqV83qJQaTFQwtoRtAjUBIwtOaXRzsBAnpiyKGIXhpj8nM9rtsyR3WeJcxcjtM0MEQmuQUE8uE1f70SoFcMPCuA25S+WMJvCa0VrWftaQGCBQSyFKjJii3oIONkcnZgRlwB9oH5t9b0elw6fhC5By1gaC0VRsAwBnh0HZkbEhRsycNOgACAtQkvE1f7YFk+/A30g4PHIzKVvYttWQqW+SsfXh6zwEC7A7wSwMuA8ttbDuRlR92upS2965dZIQDW3wqttRi/V8/iJfX5sJEGA/lkrAG+b9q3tlyC1rzRdbzr0yIWZq3te8BBZMi6LhZt8qDRP4uz140JfQeA/w7AUwB+GMDXztN/vNb66wl+w+RsxQJaWjorjDrf0t5Afq3cqtfiFZmrlgXA14hjAWL+6yCg3kDiuRoaeKzrvAkIlFLM6L+QtROQP7PZbG2lgc8laDBgCyDS/lrzW4KmwcG6DmMFfdukA4Qt13oou0GDnwPwLACUUiYA/gTARwH8LQA/U2v96R5+WhNKGpM1QZ2+pQGiN8bgWQOc55VvlbGE0QsMshvgAYC3IYhjA7qtyAIYCwKi/eU7s4dDuwHyPZvNLhxF9qwBayye1mYg4P+XST1tZMoxYAEYlKncW4+25Q58P4Av1Fr/TUZbWsSugGe6ZSgDAJamlu/e/ntIq818TpO2+D+3z1YA/9erAgwA3gYiLwbQWhnwrkekBVnoLWuAy3JAz7uu4hIKCMiyl7yKS9wDftouj4eDld5SZMsl0BaC1O8FCM+8133gvB5+mnQQ2Yu7AMC29t6+A8Av0f/3lFL+ZSnlg6WUp60KpZR3l1I+VUr5FC/TyIT2yLs4kd/fK9hcfqwrEPG1zFLPTPcCg7wCwHEAy2rQZn8rQOgBg+6nNwZdx+KbGacehzVuPUbLqrKst557queEvt8tPi0gzeRF/fDK7e/vp+ptDAKllDmAvwLg/zhP+lkA34kzV+HLAN5v1au1fqDW+uZa65vlhnkbhCxtwWBgTUgrrzGO8L/mbwkyt2kJAZf3Jqmur4VAND3vA/A2EWmB0gCgwcH7z3y5r1oAZXwR/ywQeO0z4AkQ8BijpU/9O3vf9VzicnolIJoXFoml02pP9y2zN0FAU+6VR9twB/4ygH9ea/0KAMg3AJRSfg7Ar2WYcCxAk94q3KvZI9qEn3eTvAlgAUiPoGgAEIGIhMCzAKw2NQjpMWnSy2hsvuvyYr6yqc3gKPx47GzOy9jkRCI/SEP2yluCz9uJPUuM+2TFBeTbIr5mfEahh6TuJiR9tPYZtNyBbYDAO0GuQDl/D+H53x8A8JkMk8zTgzYVfktbA/7jpjweXMbS5FabnrbXeVo4tRbk/QHWlmDW0Dot0rjcJ+ta9Fx7Leg6qs6Cz3kirOyXC7AwEDIQ6ECoBhoLAKKxiDBpwWQgyICClW/x1GUjELGsX71LU/eFtxB7tBEIlFJuA/gLAH6Ekv/HUsqzACqAL6k8l9iEtbQIkFuz5TKWGxGRnvyWyd4iyzXxNK1npkamuXci0FsJGAMAHhDI/4ww8ITXGta6PlpoxbIQXhoAtHsgm4X4WmmLRHjzbz1Wa4kQ2M5ZgIy2j65pxE9bLTJ+nicebfpW4kMA/5ZK+xu9fORCe88OiIiFjr8t8kAkK+BWvei3pX0sAdPCZ/m0POF1QCwy81vAItfQswIi60aTvr7aIuByzMu7DpzOpj1bSd6zES1+3v3RfdGC6GlZLy9LOp6g+Ue8vXMFmubzOe7fvx/O7+09mWNDik4MCnkD8W6qvlA9EzrbvgcgrbQMQMhkFwspeiCoFUsQPlrIPatk7MfrOwNNJHDcf6u+NTa2DvSqiAYDzdO6/pHV6M0vKyAYUY9lGgFPD2UU3M6AABBfpEgztZYNeyhrSXi8rYtuaSJrEka/W5pf+mRpfouvBg5PiPX/aGytCecJolcm+mggsMZijdtr1+pHqyy30QsIY8oyteY2K0CeIyavUT24BBKfRV+Usehp+eac501A/V8Lr1Xem/wtDdPSwlq49dKfFoQe7d1jAegxZq6dl9+7xdYCIssy0FtkI+DKtOulZeZjdoy9/Yr4RtfXm+9DflcvLonG3qzWDclOTKttDiJl+6ZNWqs9rZV0vqfx2BJoaTwLAHW/vGvuCZ7XR2+sPeT1w/ofXR99Tax6ntVjtdujgCLAz4zPqjOGNFhl7tFOgABgX/DsTdjWZPT49paJ0iyB8tK1trM+nnBEloHVTgYsLGHJXnNv+3APef214iAtwAXszT9eu5vQZZ9B8NqQ8bWW33cGBObzuXuxxwpjhnrqMcpm60VawJqsnobP+PaeFtd5Fnh4/fOugVBrgltPG5Jv67fVniXM1jVqCf6Yez2GPEBlal23KDDY27dW0H1nQMBCqmgjhJB1QQQBI3QUyp7O2lQb9AKZpdnF5OV8y7z13AEuH7WX7a+QPiykDw7JTjrrQFEEAN418oDOWwWJxum10ZPe6u+2KbtyIPJzLUCgR6sKZVyFMYLXw7ulfS2+PGFbfKWONv9brgCntcYd9deiSKPzfz79p//r5wBYZTOug3WdPCAbs1IUUesatcBtDDj0gKVeHr/sswOXTpkL5u1I0/WtR5Z7JnHGAoh2MbbcBs9kt7R2pOEsq6ClDfV1sf5HY9YTUgswC7q8KdcSeLb2slaBjFW2wnrBUr42Ea+ecWdI+I2xdHR9L9/a2swU5WnaWRDoRW59I/XWVkvLZ7YhZ2lTTWP1IxJuyW8Fv5gPt7MNk9fS8izw1iPB9CEbyzXgcsyb62Q2grXG5l3zzC6+LFh5ZaP6rfbZzYrqMBBE12cnQCBrtjJZGt0iDwA2Ef6s6ezVtYTZyvfqjBF6r/895FkADACe4As4aKHOuBNR+9samwBqVntGYCGkFZGXH9Ud07aVf63dARFirbWzewQiIdiWFaD5jsmPLIGsyToGkDR51pEX+GMAsB77ZT0LMAoiWhrfAopNxu3x8dKyda38TYS5p23LSrn27oB+Dl1W2zNlhL13AkV9avUjokwQaduglXWHMhaABQLaLWiBAJv5rJUtsJB0/s6QZcVZ8YlNSQvlmLiAdc2ZIstFp0dKc2dAoMdH1QPappDrupEm1kK0bSHldl5J8trT2j8CAAnaeQDgrRxIO/yQD89qsPpq/ffKv5LXdazWj2jTB5EI7QwIMLV8fT5S6tUVaglqpA3Zp7Oo10R/pYXZo8jkF9JBLUtjRwDguQ0WiFj8uY8tt8ELNkbjG0M9roKeO9u0LjKAcu1WB3p8/augHrM5ApxNLIWMSen51VqodBmrf57ZrQVbf7RQe8Iv5QF7M1HkfnigYP0X8gQiI5xRGcuV6eW/DbLaYSC4VoFBHQuwaJMof9aE126ABQQeOGwL/TOTnctG/1t91nmeWW1ZAjp4Z20EymwOssDCsgZ6g4vWGFrkXU9raVKX1WnZNrM0htfOLxFqEiCIJmxW+LdRLtuHVhS/Z/LxN5vXuqz2pXW+Z1574/EmP/OJVgB6hdwrq018b0ytjzdeT3MzjV0uzApprzBH5a17l+1/0/YuZ+8O+Gop5TOU9kwp5eOllD84/36a8t5XSvl8KeVzpZS/lOmEJTjRTqgMv7HgIbEGPZG2uQzVyrNMWm+Ce3me9vGEK2rDSreAQAuwTmfBiwBB81qtVmE7XM/Lj667NVaPrPmXFeZtBPLGthWdH8g44L8A4G0q7b0APlFrfSOAT5z/Rynlu3H2IpI3ndf5R+XsFWXd5Jn80YXUuwF13phIflaz91oALXMxqzGt+tZmnB7giD56C7AW+khAecXA0vwaPNjVsACF+2OV4eusQSi6NxFtWr9Fut+aWkHsMf1pgkCt9bcAfEMlvx3Ah85/fwjAX6X0D9daj2utfwjg8wDe0t2p5E7ATJ78ZsHQ6+4aZGqtF6wJLfBefkuTRH2PBFxvx420tean81tr9a2yWusyfw+4PKDwhNsCBMv6kHvm8dH3pnUPeu/VpsvCFn+es0yeMrR49ATYx4biX1PP3y1w/v3q8/RvA/DHVO6587R8hzqeiHLe/vDbshKsYF5rArQ2/GR4eDRGG3tLb5bWsyLuFmh4AuP1S68AeLEAq3/WMqDnKnjprTiEBRK6H9b9i8ro35HAbkI8byNX1mtr070q2w4MWj0we15KeTeAdwNnDxTxaAzabhoTkHYz5ZmyfZVJJ8FP+Q34prLng/N/4af584fXmnmc+jenZTW4pe1blkLWYuD+tawEDyA9C8Eab+v+RXkWsGbJq6P77O0DGNPmWEvgK6WU1wLA+fdXz9OfA/A6KvftAJ63GFR6FyEHLfiGRwOyLIXIBLIepqEniLQvQtJaPuwhnsycZv33rABLG3uCpPlE2r1lDXj8rLRImL06EUBYYMdWkXd9vL4Jef3ifH1PvPtq3dvWXGB+mQfd6PkWtcfXIENjQeBjAN51/vtdAH6V0t9RStkvpbwBwBsB/E6L2Rj0AmwAGGMO9Qp1D8pbwqXzuZwnqKenp8M79yytHMUMIkEDLroOnhZuCWxUxgMFr03P3bBAwdqvIB+9vJq9H/reyHXqnQOZcj0COzYGsdG7CEspvwTgrQBeVUp5DsDfB/BTAD5SSvkhAH8E4AcBoNb62VLKRwD8HoAVgB+rtfovQWu3nS7LJrVHtdrvmh/brvCL+mTt1LK0izVRtWBY23PFLORvKS/gxjy4HI83moiWgHvplpBFANECLYuvlJfrweCorYJW/5mfd1+sa9FLPYIekdW2TmPXMkNNEKi1vtPJ+n6n/D8A8A9SrRvUExi0hJDTxmwA6t22LO2JwPMk0cFEBiAWSj3pPE2/XC4vTHjLJeBYAL+IktuyQNO6lvLdCwJZS0ELqmU96DZ57Mvl8sL5Ba8tPSb+1mOOfl8Fbdp+BAg7sWOwZ4CRkLasgWhpsEWe1s+sXui6nMaTVDS3aGvWeOwSrFar4THS2mQWQBJeDEwMEnK9eLmT+2kJy7YAoBW7sIBN+/Ms9BoYLQuD29HpnCf89T3M0GUBhQdYQtZuQU07DwJjSQtg6wRhlqx60bINC05UTgsh53EZT2DY9JUPP4RUbrT1rD0hyx3w+uv1yUv3BNsDhUw5DQCcJtdDrIFI8HW7zEuXt74zwKAtPatMJKycx+1lhFxTj/uxcyDA5qzWThnqWTO1eHtCuummEM0vMzm1VhPBXy6Xa6/n5viAWAIi7Fa/OU9/9GTz+uiNIxqfF3D03BoPABgErS3FFq/ICmD+0X8em/5t5Uc8eDytNoVaYDDWktk5EBhLmReCMLAA/gNLLF9eyAr2aWuA+esAnb6RXjBPyukgoLgD8mFL4OTkBKWU4dsbo6RbH10nA1gtjR+BQRYo5FpxLIBjJN6OQktgPdCSNrhN/dsiq46Vz2QBQJbGuCsbrQ680jQ2MCjClAkGeqayV6dVboyrIBOP4wL6w9F/bf5Op1OsVitMJpMh+MfjWq1Wzb0O1pOXe60Bztf/LWG3njegNbiMVbetrQAdKLXalCVC4WX1j/sdkZXfI8i6vrXhx7v+XvtWWs8DRYAdAQHv4m/qz2vBy/CM/GUtxJJmtRP1TzS+p4msAKEGgsViceGlJGIByIcFybpG8s0nJ61xWNpaXwevrBZgGaMHElp7a7eBgZBjAd62YmlPWwZWn70xRGPLjNsiLeyeoEcAYJWT8Wq6NpZA74afVrTem9ARf/0KL4s8HjqeweW9egwK4mroCcSmvrgEIvzRK7mt9mutFwKJbAVE102b0FLWE2hLYCJhsX7zNRLtb7kCDJJa6K32taUh98+6XmPNdossgNN5VlCQr3NEY/q6UyBgBQWB3GO69OaXDJB4wtxjgXh95HQeF4/N+s+Cz2lWbEC/essDAe6TblevKkRj0UKiQSMCAMvkt4TfMtFPT0/X4iCLxWKwArzlwVa7Vn95bJ5GZhoLDmOApWUJeP3J1NsJEJCOWmY4T8jsuwaE5xhfngN/GR4esXBbQsIugf4v/WCznq0B/bHew6f7IlaDTpPvzHi5b55prcv3WAHazWCtLVbAYrHAYrFYAwXtEliWSas/lovD6Z5lw3n6f+Q2ZSmqp/OiGEMEOjsBAsADFNvkQaOW4PUS76rrtQh0LILTvFWFyBrQ/r1YFToQyH21tDgf0Kq1Di6E7qcGkcil4IkvQKQFQb4t8z4SVK4nQm4BgHdewnrQiI4RRMKs74NlFXhaNyu02h0T8sAoSxoI+Hp4tDMgsFgscHBwsJY2VpAj2oSnCAsHDzU/LewakFjoI2tAbh4LpwYAXgFYLBZrQT7dL72lWfrAYBC5ElKHx2CBgeZhCZCnUbkMrwQIAFjbpq0YgNwHKy7Qehy6J3hef6NxRNfQiweMIQ9EhBaLRVh/Z0Bgm8GXnki9JcSZ1QHm0WpTa1xL+0f/OXAobVmuQdRHsQDkt7gQDAZSP3IrmB8LkOUeaDDICIwGAIkBMAh4boB2Caz+6mviXatWOa/vHk8mb65vGvTzrBO2gizaSRDwBCoS0DF0GZYGcPGmRysFljXA9UTYOc/aF8B1LE3Mwq9XIPSKRiuw6mnzSFg0YFmC4VkA2grI7BK00rR/L+3qNH0f9NhblAGCbVMk5NcCBLyLbmnqqySvPzoW4NUTgYusAQBrwMBAwe0xQOi+WO4HgwBbArxbEYDpTlimvRasyCJoXVPmpQHg+PjYXA6Mdgiy22QBlQdeLevAAw6rjuXvv9LgwP2N2tkJEMjSNqyAscAS1bNcAp3G9Vn4tTUgdSyrQLeh2+L/nukuVgCDgAh+610PVrue9tU+ulW21gc+Opv/sg9AAMDbE+B99OT3BNGyArzrmL0WXp5u08vXaRp4dPlW/7T1aNHOgEArgpmhlkZ+pYjdFg0GbH5LPlsDksZxANH6zMcjy8yez+c4PT3FdDodBIU3GvHmISvgaa046G8NAAwE1kcLtN4HcHx8fGElQH+swJ92Ayx3QYMTj8uySjVvTstSjxVg9a3FM9oqbFmMTDsDAgCwXC5RShmi61lBbj0cI5vnkQUqvAqQAR3PMmBrAFg/6ntycjKcEpT/mb7Kd611EKD5fI7VaoXZbLZ2+lDAQFwA7Q5EbkHLEtDfOoCnTwPyKoAHAFKXQYb/Z6L/HihYQt6rxTWPLGmrL6qr86P4xXK5bPZlJ0BAOrtYLDCfz1NCxflecEvIAoltWQq6ryzU3uYnbQ3o6D/n6ScDRahuuQEsKLPZbLAI+CgyH0MWq0D62hMg5MlvWQMiyAxOIuhi9uuNQDoIqP9rkNHj9qwCfb2icVkuhXWtrXvN4N9r6VpuYZaknlzbTZ8x+EEA/xmAr9Za/9x52v8E4D8HsADwBQB/q9b6zVLK6wH8PoDPnVf/7Vrrj2Y6LR2OAMATLOprmKc1mVU+cyRZyjFFPHU5K9CmgYTHqoFATg/qSRptNZZg23Q6xWw2GywCAQQdH+DrZV1z7aNGFoG1v58np176Y4CI9gRoi4CvnafVtaltgdhY0jx0e16e5e9HeV6+VU6uWUQZS+AXAPwvAP4xpX0cwPtqratSyv8A4H0A/u553hdqrc8m+K6R7IWPAmAZAe0J3lkkwqdRnPnoSH/ES4RV90/733xT+fFffEJQyHMNPLNXystjyUTwZrMZptMpptPphcNI1r3wljojENDRfBZ0Fn7L528FAj2NrwXMs1Yskzoaj863/vP1aQm6R16+ZVlkjiNvHBOotf7WuYbntN+kv78N4L9o8WlRKWUwBXtPE2a1t9eu5uXl9fRJSFs2fBNFQLWFo4FA+sWTUQRbWwLcjqQJEFmaeG9vD/P5fM0ikLiMjg1YAUJLILwgIAs/a3oRdDH1o5OBrP0tEJAycu10n3S/Bais9JaF4JXxAMYiK2+M62D1TYKswOWvDvxtAL9M/99QSvkXAF4C8Pdqrf+sh5mYrDJxI5O0h6x1diuvVbZFnvXg9SkDBNZE1EIvaVogeUmQBUnAYTKZrD24VICAQUC7B3pckRsggs0Cb+32swQ/CgBqEOC2dZ88TW5p8Na9HVNvLEUAEbUv410ul6l+bgQCpZT/FmfvF/jfz5O+DODP1Fr/tJTyPQD+SSnlTbXWl4y6w2vIRKuJ37q/v28+rz8iAQyteXvqZv97PICL0f9WHMPiIaQBgk17ie5zWX1mQYTCWgbk2II+mmztIbCA0xI0DQJawC0TX2JB2npgfh4AWODjCXrWzI/y9f1qCaOX1ptn8YwsDLEEGEw9Gg0CpZR34Sxg+P31vIVa6zGA4/Pfny6lfAHAdwH4lNHJDwD4AABMp9OqJ855G0N5mbxjhPy8PXejjdXOWN6WJcDpmsasJFhAIHEDnsAcWOTgH68CMD8WeOu3HpcWLks782Ygz7fPfDJC7wFAFC/g/mc0vZUf+fuWoOr29bW06jHfDEhYwOnRKBAopbwNZ4HA/6jWekjp3wLgG7XWk1LKd+DsNWRfzPDkSSO/x/jkXr5n1uv0bbgdWZBiwLCAgC0AKSf/Reit5TyxCmSySrqAAYOA/s2Cz3yzwUHpq2eyi2biMp6217599K0FnfO4vy0h19df17Pun3dfeygbB8iAhD5f0Rrv2NeQvQ/APoCPn08KWQr8PgA/WUpZATgB8KO11m80R4Z181UGwELhBexaO9yijURZwOgVbF1W+/de+x4Q6NgBCyoDBEeM2SpgN0m+NQhY/r8WfM+Sku9IA2uhjgSZ/X8uE4EC98FL575m3QBvvHx/suRZD2PqRzsEWYb4uno09jVkP++U/RUAv9LiadRbm2D8lh2mMVZAy7yPeEYBQyFL6LXAcT88xNflLNJ5AghCltnOVgELN/OygoDMYywIeGAQmfURQMh4rHoZALA0ecs6iOpFZS0rhL+tayiUAYiojFgCbGnu/NkBnrCZQAZTxocfE0OwyBJ4L98rq8tY/WwBAYC1nX1sLQhfiSPwngKt8a04i7asIgDgMbAAWAJoCbQWYstSsEDE+p0FgEjL63y+PxZQeLGACAA8Mz6a7z0gwZYUu17RvN0JEAAw+LdyoXlDi5ClYZmsfM9dsOrrffO6nkU9ZbVbYPnXwicCAhZ4y4TnPLYA9HXR7cj/njFx/7WwRRaBtgykTqT9W7wiAOjN1/clq+WzysujyNfPkFjRGqx2HgR4coopc3x8PGxvjciKFeiJzvnexbDKaopiDR6xSQbk3BO5HlZZFmq2CjhOIJORr4MO9FmAwPnWmHVsQfdLazU2QT3NLdckEnL9m9uL8jYBAEvz8zj4vx5/1g3QZSzia+25kkyyzC5gwOke7QQIAA/8Fr3NFvBN1FZQcGw/9O8xsQbAdwm8QKHVF22yW3EKBgMux2DBMQkt8BqohFq7Jz3TWPK0IGmtHwmiBwytvG0CgDWWloCPCfjJPbDqWvMjCgrq/mdOnu4MCEggUI4+7u3tYbFYYDqdYj6fA2j75EwZTa3BJFOW+XsgkemnDhR6iK+FnPnrQJ5lGVhugh6DZwVkTVFLaDhdCyD/3raG53qclqkf9XEMtayAFl+vvucy8INY2BJoAdPOgIBYAtPpdJiwi8ViOOTSu35vBb24rUjja8HQZJ1ViAJnkbblfPn2+qzBgOtzfz0w0GPkybGJVaUna8sqaJnfkp7d09/L3xNsCwD0GHspuiY9fD1BZj7yPEbW/mw9ebQzICAAcHp6OmxhlSinkBbe7MqA9RGy9hFEAh7tO4jSLGKgsupbE8QSciENCFY5D/BaJ82ED/O1SE9uLXSe8PJ/HUvwLAXNIwsAnN4ywblOZDFY+UItAY7qym/LBbDal4/sE5D0nQ8MAraA88Mm9vf3L9TRPqslrJ7w6/pWf/hb8/TKeHw8svx5TzvogJ4VL7B+Rxo/Govuu+VfWhrNAoKWVtaCNFa7R+a9TmvFAZhaQtobDPR46356ZTRvfjVbb1xiZ0AAWN/YIr6drBZYIAD0CaBnZsu3ZzoD/otKW26BbtPqA+BbBRaxoFsgotvRwMHkgYImDUCRwESa0zK3M9aBLqPzWiDh8erpm25bKLImesDDqh+VYRLNb10rKx7EtFMgwJ0XE5XPn+sdhEJZ85vJsiIsAMho/972IyCQNiOrQKd7YGBZBbptDxSylPFV5TsSLl0mAxKadwQSmXLWb29MHlhnhDcC+sgC8UisZn3yUo/fo50BAetGyUdMHQ8EPMoEBFsA0DL9WwAQBQy9/B6rQLcVBQ+tNr2gYpYiQfG+o3V2rSEz2l+XGwM81u+on9ymdy0s8kBC143cQp2vX87igZhHOwMCgH2jGQgODg5SWtfa/MKTvXVgRpcR2oYVYI05sgqkL1I2w8OKAzAA6N+Z2EZrDNFvS1D1t6etOa2nnPU/6wJkxpkJjlqUte6yVGsdnsjVsmw82ikQ4MlYa107My/rnrPZbCPBGwMAXpygpeWzxOUjy8CqZ8UbtGB7Jr8u7/W7NUE9EOjRuvI9No7g8fe0f6b/PdSrfbP8WnmyJCjy0nPuRminQABY30QjE1jiAvfu3cNTTz1l1sto+SwAeNtos+CjBVNTJPSWWSjXhfuYpZaVkOEZgUDLfYhMc/5uLb9FWj3iH/UnIg0wun7EOwIdr0yGv8Xr6OhocAV0Xta12ykQqPXBs/B4XXRvbw/Hx8euSd+iKOJt8fN2A+o+WaQvvBagzKSyQMQL5nn9YOH3fkf97qGMZm1pfUmLyluWAudZ9Vt+vWddWOPJWBVjo/0ZPtZ15Q1C/ECeHstkZ0BAT1IeCC8RfvOb37xgDfTECbSgW8JvuQZC0duRBMSEeKWjx0SzLAXPetCgxKChhd/qi+VOjOmn/u8BQUtLZtwEXdYS6GhZL1PHKueNP2u6e23oclnr6qWXXlrrOwMl971FOwMCPAE5Oi57B+ShmPqpQ9HEtQJ7LOz8qK3IMCLQzwAAGltJREFUyvC+ue/yzRdfP/mHAU6PWwuml87tcdrYpT7dzliwiv63Jn4kpFk3QX5nrYusxeDxzY6xVV9T1gLQL2qRunoOZmhnQEALq1w48WEFAFarFV566SU89dRTa0dkAT8eYGl7OY/A6a0DNS0XwJqQ0YkvT/Cs9Iw14bkM3H/No9dK0ZTVYHpiRgAQgUYPYPTW8cpHY/Z4RPVb/Lw87vPh4eHaswP0OYseGvsasp8A8MMAvnZe7Mdrrb9+nvc+AD+Es2cM/te11t/o6pEiRj4BBPGDDg4Oon5f+C8feb6+/GYAsIDE4qf7p81TuSmZo5zMxxuHJbycbgmz7rNlLWwCABZPpqzQ8/c2ACBqP0OZFRPmqYE+C6xWmYiX/JbnbfBj3JmfN2c8GvsaMgD4mVrrT3NCKeW7AbwDwJsA/NsA/s9SynfVWpuSoM16HohYArKDUI4Z876B1ok5/mZrQMBATi8KEEg5rqf7xd9sDcjeBikvN9abHFlNwH3otRJ0/7nP26CMa2BpyIw5rtN6TXlPM2cAxyqneY25jtb9yvLhtwppAGDKgsGo15AF9HYAH65n7x/4w1LK5wG8BcD/k6x/IUCoXQPZKyBnpw8ODrriAxwP4A8HAAUYuD/6W09QEXTpZ1bwWyanDvBFda6CIuGPLAHAF64sCPSY8hngaPHP9l/TJkuGut7x8fHa69qkrgaunjmySUzgPaWUv4mzF4v8nVrrCwC+DWfvJhR67jwtRdqckTR+ZNbp6dnrlSaTCe7fvz+sGugNNaz19X8dL/BWCqSeBSy6j1awUlsm3nj1b6tM5C5cFShE/ff+t5bgrG/5PcZl0Om6fq9bYo3N47UNS4t5np6eDvsClsvloHSisWZo7Js2fhbAdwJ4FmevHnv/ebo1280elVLeXUr5VCnlU61Oi1DJgCUiKrGBVn0tiCz80VIhf+/t7a1ZDRyUtIKRkfBb44vS5MZaN9jL0+nb+HjLUK0PH2zZpH+ahzd+DQoslF4QtwUymTLevfTK9ZQV5cdPDYrG0EOjLIFa61fkdynl5wD82vnf5wC8jop+O4DnHR7Da8gmk0kVQT/PM31vXikQMDg6OsJ0Ol3bTmwFBQH/TAH/Z+H2Ng2x9mWzn8tlAcC5Nmvf2sqxbrTnpvS0GfU54uu1E62KePw8IcksM3oaMbM6M3aTT7ZsdP1aG5CkDLsCDMRSZwwAAONfQ/baWuuXz//+AIDPnP/+GIBfLKX8Q5wFBt8I4HeyfPVE1BdVhFSeqDqfz9eeoHLeN93XCx/PRWAAsOICXj/1fgDpY3bMzNObuN5yY3S4qCeAaAl2BliyvmzExwMBj78FAF7/ov5cRpmxcYKoDfH/xQLm04KbCL/Q2NeQvbWU8izOTP0vAfiR8w5/tpTyEQC/h7O3Ff9YTawMMGlh0IIo7ydYLpdDgO/u3buDuU79bo3LNd/5jTwWL0+YvNgBBwp5nB5Pb4JY6dnJxJuv5L/moR8fFu1xsKhlIfSAQEaTtr5bAMI8vbFuCzBa5bxrJW7A4eHhsD3YeoDoJkBQNkWRbdBkMqm3bt0CcNHsZkFkTT2bzbC3t4eDgwMcHBzg1q1beOyxx4ZlQ/mwHz+ZTDCdTgf3YT6fm76+ZS1Y1oD+iM/Ju7msd8JFZtw2l+0uk6x546VpqyKa8BE/r24viHC9rMuSLeeVbZXzrsliscDR0REWiwWOj4+xWCyGOdbqm6blcvnpWuubdfrO7BjUmp/TJY1949Vqhfl8PqyZAmfAwBuI9L7/SLN75bylwWjJzrIIMjeqFwA8U9+ypDywH7u64LkPkYBLflZodDteWo/rwOkZX1zzja7VmBUFIe8+yMYgeXCIxMVYJiyZ6aGdAQEh7W9rEl97NpsNewZkpeDu3bsAgCeffNLlwXEA+Y4AIOMKtFyPyA9vuQA9pmbL/LaArNenzIzFa7+lWbPuQla4etwEi1/2nmwjDmCVPzw8xP3799diAPJUaL00yGQF1SPaCRCIJo8V3AIePKJcHjwiKwVi8j/xxBMX6mjSwm/tEGz1NUvic2YnRyRsLfJu/qZA09uvrJuT0fZefq8VkS2ftcp6Vgx66Pj4eLAAZDlQ2oqCzpEsebQTIADYFoDWWIKAEuQSVJQXl9Zah3cY3r59u+vhG0KZgCL3Lcuz5+a0ymZNS08wezVFtu2xoOP561aZVl97ACBj/md5Wfx6rDjNW94kJLEksQSyY+ihnQEBII4LcLpMklLK2kEdMd/v37+Pu3fv4umnnx7KWya//I6i+tsaV9avHAMAenyttiw3YRtA0GPuRiZ9BGBj24io1wXojd1keDIA3L9/f9gTwBut9PbgbQAAsGMgAFx0BXSeDshJYGS5XA75k8kEh4eHmE6nePLJJ11+l9VvoUyEOjOps0AQ5Uek22mBwiYBzMyYesfSa/577UZle4ByE8A4OjrC0dHRAAD83ED+9PYjop0BAcsdkHQgPjorLoJcsNVqhfv372Nvbw+3bt1aO2S0zT5lefSWbWlJ63+vy2ERu1pjliq99noFPuNWZECjJ9aS2VW4TbL4ybw9Pj4eXIBtAECrzs6AAGBr+owQysWR9VMRiOPjY9y7d899e1G2T0IsaC2TPisQmXbZZG/xtQTI2hjkUc9ONiAHPr2uQKs/LWuiR6B7ffttBAI9i6VlAVwW7RQIALbm91YI+ALWWtceTy67Cu/evYtbt24NG4K4nvyOzOtoP4BVp3cS6DTNw0tv9Ykn66YbkHoBz/ofAWhWyMZo/962eqyKbZZfLpc4OjpaCwBuAwAydXcOBIQ8KyAi3r8vQHD//n288MILuHXrVuoNRpY1Ijx1Gn/3atBWHc/a0XSZAs5les8dWP+3oWEjK2Jb/n+2rKfRe0iE/e7du8O2YB0AZOpxT7PgsbMgANgCyOk6jZcOxRIAzoItX//61/Ga17xm7XyBrn96+uCEIlNkDfRo/owp72nW3gnvtTG2XEuQtab3liHHCmKvxvXqbKrRI2usdzOQpL/88strbkCvJRBtyc7QzoCAnjie4EXLh9oSEGCQTURf+9rX8K3f+q2YzWZhP5isfQE9QBDVy/DQN3ZTn3RbYKAtA0/Ye8Ara1FEfDatEwl09l5m+3RycoKXX3552BTEh4OkXI+SGUs7AwLAxQnWsgC8FQNBU95IdP/+fUwmE7zwwgvDISKtgb2gZIT+emJoFAcemHxMMsm4nIX8LbfBuzZR+jYmVjRBrfQxAUcrvXdJ1RPmaMNUj5WlA69en/Tvk5MT3Lt3bwAASePvXqvTmosZ2ikQEJKblLUAvDTZUnz//n3MZjMsFgvcu3cPs9kMk8kE8/l87WAL0L6pug8s9Fb/vHr6twcArfpjykp6C+QyIOjRGOAa4zqM0fy63KaatHesfDKQT5oCF7cE9/bt2rsDQq3gh6Wx+VuEcjqdYrlcYm9vb80amE6n2N/fx3Q6xe3bt9cmnd6a7LXpjSFj0rIVEH0D+d1/kdC2AKJl4kc8rH561AKTrFmuy4xxOXrqWOUzZNVZrVZrx4IlbsXCf1nxHo92BgQ0eWYh51nE5eWQEYDhEeXHx8fY39/HN7/5TQBnB3sECLhNuRFyytCbwD0HWCxN7wGAJ/wZ16THbGz1W4ivR69p30rvcR+isY0V5DGgEdXz2lmtVjg8PByWAvlkYKtuTzu9tLMgwBQBguR75/3lQu/t7Q1Bl8PDQ5RShicSnZ6e4oknnrhwUdkqsMjz6/m7NSZdn/m26ujfPbsGozpMui8tgcn2YVNNPEb7e33JtNdqQ9fT9eVUoBwMkiCgdgd7aOyzIDTtDAhYAijpkW/quQbykSW/09PTwTWQV50fHR0NTxOSB5LwcwSE99g9ANwP+WgNrwHEWpLKmujeRIomSgZ8IvKE00rn+8jgugkAjNH+vUuTmf0qkZUhDwZhALCewCyUWRK30scCwtjXkP0ygD97XuQpAN+stT5bSnk9gN8H8LnzvN+utf7omI5pTZVdPmQg0GvXYnotl0ssFosLjxJ75plnhi3GXLf1fAEt5NYkjVwB+Z8FgF5tr2mTDUZjXA0t9Jl+bEvze31q1euxHqJ8OQ8g/r/eDyD1Ix7b0vgejXoNWa31v5TfpZT3A3iRyn+h1vpsTyeymoraHPJaZw2kvkwaQWZ5gYmsHgAYHkZycHCwkdmo8yKNbU0Az7VoTe6xJqxHkVXRs4Mw25fWNd/UZYh4jBWyqJ68F8OyALQV2KIWEIyZG0IbvYasnEncXwfwH7f4JNrRvLvKas2v8xkEaq3D0gw/tfjFF18cNJY8hFTas55HYAmzTuM8z0WQfmme3pgvQ/gzkzFjlVh0mcLrldfXtaf9bLsRj5OTExwdHa2dCBTzvxcELgOgmDaNCfyHAL5Sa/0DSntDKeVfAHgJwN+rtf6zMYw9Mz9blkm2AwMPHj4ijyaTp7dyHnDmGvALTaR96yCMCLjn73uaPwMA3mTpMY91vU3W/1tlxoLPmPGMNfu3VR+w55tsBBJLQIKAfJ9bOxKz1OO2eLQpCLwTwC/R/y8D+DO11j8tpXwPgH9SSnlTrfUlXbGU8m4A75b/2sz0An6KRzipmQcvcdX6IDYgabJxQ3YZrlYrvPrVrx7eVmwRCyhbGoL0jPgcK2hZAPrGepO1R+C8yRJZUFZ5oTFLhh6vTSf/WB6t+r3Wh9xj2Qosc8yaJz399sr0WocejQaBUsoUwF8D8D3U8DGA4/Pfny6lfAHAd+HspaW6k8NryEopldLN3YKWJRAJPV94Xuu3dggKWh8cHODevXuYz+cDr1e96lWYTqfmm348QWarwBN+nhAtANhE61u/oy2z3uTxhD4rKK0DRj2g0prgY92PsasGXJ/PArDr2QL2y6aovU0sgf8EwL+utT4nCaWUbwHwjVrrSSnlO3D2GrIv9nQyYwlwvhUP4KU9flKOLBfKjRFe8thyea/hdDrF4eEhgLMTiK961auGB5dGb6rR/p5lEWiQ0ADQmixjfWMrraX9rLFm2o/A2mq7BSrZcW2yV6AXAPhbFMndu3eHHYEA1g4D6TYyO1Cz/dmkDDDyNWS11p8H8A6suwIA8H0AfrKUsgJwAuBHa63fSPXknDLmactVkDSdLjeB9xLw/gEBCjlrIADxta99DXfu3MFjjz1mPqVIC7cEgljwLZPQAwBrknnXSZe3XKPoWkbr9T0C3xJ0T+hblAWsqK5FMu5NAodyr4+OjoZlQF4BAPzDQD3Uu0TY29ZOvIaslFKtXXlWRL6Vx5t8gIsvG5WgoCwP6leQyf/5fD5YBfP5fHht2ZNPPok7d+4AuDixGQD45ZGehdACAeGrqVfjM23qy0dbqC3aNF7gpY8V3l4winjIy0F4+U8AQAt/S856NXsE8kGb1+M1ZEJjNkiwhhcw0IjPaSKQHC+QB5ZKoHA+n6PWOmz2qLViuVziscceG55LwEKtd4OxsPPEsACgZfpnbrzelefRWC1q9bOXd6sty63IgJdVb1vgpPty//79YQmQzwDwJqCo/VbeJmV7y+8MCGjSF17/12VbvIB1E1AjtVgJspNQHz4SN0DMv8PDQ9y+fRuPP/646Q7ojwUAlhWQ0fzR/4hP6/pES4dROtM29yeMtQBafMeQ8JMjwHIISLt/2T5eJgD00s6AwKaWgFVegEO0PVsHXKbWaroNEi+QB5BI7GA6nWKxWAza4M6dOxfMfM809EAg0m4Z87tX+Cw+GQ3GGrm3XQtstgUsFq9eQGzFEOR+y0YzvQGIYz1j2ojKZIB/LO0MCGjahnsgfES4LV+J3QAGAQDDswplvZdfb87vjF8sFphOp8MbkdkqiAAgo/2jm78trZu9rtmlQeaZDRxm+WoerbxefhZfcQXlnQAa5KO62Wu7LbdhTPmdBQFNkXuQ1SbaCpC6AhA6TqDBQb4FFKbT6eAe3Lp1C8vlcjiJqGMC0hZ/Wqa/N7m2aRJvw2eOeLY01ph2+LpoF1FbKpk+emliCcpbgXS8x9L+ESBsgzLKoZeuDQgAbbT09hJYZQXNGQCAB5pLP0xkMpmsCbfEFuTR5gIGd+7cGTYXcaBSA0Em6Ncr/Kx9e8zFaJmwly5j8murQud5W8XHEltx9+7dG9b+edlPWwDbslyZNrXcsnStQEATXwwvJiDfosXlP68QAA8i/KxBOI4gW4rlI1YA85xMJkNA8eDgALPZbHAvIv+/pUV6A01ZbdRj3uu2dimIuC2hkDmwXC6HF4Ly3n++dxrcN+nPNnhsQtcaBJisi2aZigIWLOz8m0GB9xxo81JAAQDm8zmOj4+HMwjT6XTYcHRwcIBbt241+2tNqMxmnUz+ptrd4tkzcTcJHnK6tfS3qRXDfCTqz+v+fPBHPw7cox43VcpvMybQSw8NCFikzWNrYvH+ASmnX0Ci9x9ImrgIi8ViSJedhnIISXxKAYPIpxsj9NEE2WTFYOzE3EQoW7EEDyQ32fMgfr9ofgEAcRfFAuBr4lkAm1AvcGyTHmoQEPIAgC+8tcmGzX+2CuRbIv/yfzKZDPsMgDPNMZ1OcXx8jLt37+Lg4AB37txZe/kJa6Ko/5m0Fp+IIlfKIxZ4brs3cGlpeEsoNg0iar6r1Wp49j8DgtxXcQ+yW383EeCsC3cZ9EiAAGDHBzj671kNlnAIIOiThfzyiFLKoElkaVH2l0+nUzzzzDNdfea+CW0iFFF+RiuxwPduQda8t+UTewBitfXiiy9e2O5rLftl+t/bv12jRwYEAN8i0JuJWMijZUmp5+UDDwCBzyWsVis8//zzmM/nePzxx9eOLlt9toKYvePuKRPFJnpPFmp+Y1YuesniKSs51lp/9NDPbS2VbqP+ZQVGHykQ8ATNI209sJVg8bJ2I0q6+JGr1WrtCcjiMuzv7w8vRGHq1biewEVmttWeRz0rFdGKzSZ96CF50q9ofXnILIA1s59PfUZ9a+UxZSyqlqB7/7cZQ3ikQECb0lrTe3UsdyHbDlsEYjnwY8zksNLR0RH29/cxm83Wdh8yeQBjtcv/M1p+jElvUdTWNoW+BXYc6NPBPuthn5dpqmf3DPT0YZv9faRAQJM2teU7CgZaPKKtscBFc1r4yf5z3qYs25IlwDifzzGfzy+0af3m/7pPOoin+3UZLkZPuRYPC+w0QIvg8/v95Lfca/nmjT+9fe7ZCLQNi+Ky6ZEGASGeTJFm5bJWvYiH5c/rLa6np2cPNeH3IohVIL/lmYdefMP63Ru1t2hbWmrTZUtN8jRfAMMaP5v3fLxXa/0eC2CswG5j5+Bl0w0IOJQBBCEv2OUFqLieLi+WgawqyHMNxCqQLckCCp5238YGmkwMJSPw2bc8t/hzXIU388hzHvi5fqzxvS2+2zbRPdp1IHikQaAl2FzGWjq0fmu+GXNQf4vQsCDzuxTZTZBAIp9+lDpjqOVqZIFxjKvhxTn0gR0BRtb2YvprjW/5/Jcp/Nus90oBxyMJAj0moCfomWChN/GisrzCoDWo+K/iMsir1iWOIEFFrhtpYe86RK5GZN1sw/rQPrrs5uNnM+hNPLzn3+prj+a/jHJj6r2SoPBIgkCLrOBatCTjxRR629NtyWrCYrEYDifJ6gLw4KSjbGEGMDwBiZ+P2Hp+o9UXb8JFAt+j8TV/9utFqwNnPj+ANb+eA3y6fq/A63710GVE/a+CbkBAUSTIUVDQq2+Z1F6ekLdpRTYdiUDwhiYRyuPj48EykLMNks+f/f39ATh0uxZo9G4QisYoa/eizUW4BdzY5xceHNzUS6VjNf42aOx6vTcvWuB8GXQDAkSeGeylRe5CxNsr6/ng2jpgkngBuwqyLMYbj/STkw4PD9csCCkDYK2eAImOOTCJ1tan7HS6LIvKOK0lOwCm8HN573ptQpvyyriEXlqP23gZtCsg8HUA986/XxF6BbXGq/AKjusVpod1bA/ruP4dK3En3jsAAKWUT1XjmejXnR7WcQEP79ge1nF5NH4B94Zu6IYeCroBgRu6oUecdgkEPnDVHbgkeljHBTy8Y3tYx2XSzsQEbuiGbuhqaJcsgRu6oRu6ArpyECilvK2U8rlSyudLKe+96v5sSqWUL5VS/lUp5XdLKZ86T3umlPLxUsofnH8/fdX9bFEp5YOllK+WUj5Dae44SinvO7+Hnyul/KWr6XWOnLH9RCnlT87v2++WUv5Tyrs2YxtDVwoCpZQJgP8VwF8G8N0A3llK+e6r7NOW6M/XWp+lZab3AvhErfWNAD5x/n/X6RcAvE2lmeM4v2fvAPCm8zr/6Pze7ir9Ai6ODQB+5vy+PVtr/XXgWo6tm67aEngLgM/XWr9Ya10A+DCAt19xny6D3g7gQ+e/PwTgr15hX1JUa/0tAN9Qyd443g7gw7XW41rrHwL4PM7u7U6SMzaPrtXYxtBVg8C3Afhj+v/cedp1pgrgN0spny6lvPs87TW11i8DwPn3q6+sd5uRN46H5T6+p5TyL8/dBXF1HpaxuXTVIGBttr/uyxXfW2v993Hm4vxYKeX7rrpDrwA9DPfxZwF8J4BnAXwZwPvP0x+GsYV01SDwHIDX0f9vB/D8FfVlK1Rrff78+6sAPooz0/ErpZTXAsD591evrocbkTeOa38fa61fqbWe1FpPAfwcHpj8135sLbpqEPgkgDeWUt5QSpnjLADzsSvu02gqpTxWSnlCfgP4iwA+g7Mxveu82LsA/OrV9HBj8sbxMQDvKKXsl1LeAOCNAH7nCvo3mgTczukHcHbfgIdgbC260lOEtdZVKeU9AH4DwATAB2utn73KPm1IrwHw0fNjv1MAv1hr/aellE8C+Egp5YcA/BGAH7zCPqaolPJLAN4K4FWllOcA/H0APwVjHLXWz5ZSPgLg9wCsAPxYrfXiY3x3hJyxvbWU8izOTP0vAfgR4PqNbQzd7Bi8oRt6xOmq3YEbuqEbumK6AYEbuqFHnG5A4IZu6BGnGxC4oRt6xOkGBG7ohh5xugGBG7qhR5xuQOCGbugRpxsQuKEbesTp/wccxkSNVAMv6wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(bp, cmap =\"gray\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Can you see our original image here? It is a bit blurry, but this is exactly what happens with the actual CT images reconstructed through backprojection. Next step, to get a nice and crisp image out of it would be running image through a sharpening filter and obtaining what radiologists usually see at their workstation - a _filtered backprojection_.\n",
"\n",
"There are many ways to construct that filter, and sometimes you will see in the CT imaging datasets (to which we will get later in the course) various metdata items referring to convolutions - these parameters have to do with varoius scanner settings available to the operator, which control the filters applied to unfiltered backprojections."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# TASK: There is a slice of a brain CT in the same directory as our phantom.bmp, named sample_brain.png. \n",
"# Similar to what was done above, simulate a set of parallel-beam projections at every 1 degree, plot a sinogram, \n",
"# and plot an unfiltered backprojection"
]
},
{
"cell_type": "code",
"execution_count": 133,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<PIL.PngImagePlugin.PngImageFile image mode=RGB size=512x512 at 0x7F09A2EFA0D0>\n"
]
}
],
"source": [
"im = Image.open(\"sample_brain.png\") #.convert(\"L\")\n",
"print(im)"
]
},
{
"cell_type": "code",
"execution_count": 134,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f09a36a1090>"
]
},
"execution_count": 134,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(im)"
]
},
{
"cell_type": "code",
"execution_count": 135,
"metadata": {},
"outputs": [],
"source": [
"projections = []\n",
"for angle in range(0, 180, 3):\n",
" p = []\n",
" im_r = im.rotate(angle)\n",
" for x in range(0, im.width):\n",
" p.append(np.sum(np.array(im_r)[x]))\n",
" projections.append((angle, p))"
]
},
{
"cell_type": "code",
"execution_count": 136,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x576 with 12 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"angle = 15\n",
"\n",
"projs = []\n",
"\n",
"for p in projections:\n",
" if p[0] % angle == 0:\n",
" projs.append(p[1])\n",
"\n",
"cols = 4\n",
"rows = len(projs) // cols\n",
"fig, m_axs = plt.subplots(rows, cols, figsize = (20, 8))\n",
"for proj, c_ax in zip(projs, m_axs.flatten()):\n",
" c_ax.plot(proj)"
]
},
{
"cell_type": "code",
"execution_count": 137,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f09a1be5390>"
]
},
"execution_count": 137,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sinogram = np.stack([p[1] for p in projections])\n",
"plt.imshow(sinogram, cmap=\"gray\", aspect = 2)"
]
},
{
"cell_type": "code",
"execution_count": 138,
"metadata": {},
"outputs": [],
"source": [
"bp = np.zeros((im.width, im.height))\n",
"\n",
"for y in range(sinogram.shape[1]):\n",
" bp[:, y] = projections[0][1]"
]
},
{
"cell_type": "code",
"execution_count": 140,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f09a1b2b410>"
]
},
"execution_count": 140,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(bp, cmap = 'gray')"
]
},
{
"cell_type": "code",
"execution_count": 153,
"metadata": {},
"outputs": [],
"source": [
"bp = np.zeros((im.width, im.height))\n",
"\n",
"projs = projections[:len(projections)]\n",
"\n",
"for p in projs:\n",
" \n",
" # Smear the projection\n",
" img = np.zeros(bp.shape)\n",
" for y in range(img.shape[1]): \n",
" img[:, y] = p[1]\n",
" \n",
" # Rotate the projection back\n",
" img = nd.rotate(img, -p[0], reshape = False)\n",
" \n",
" bp += img"
]
},
{
"cell_type": "code",
"execution_count": 154,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f09a18c3850>"
]
},
"execution_count": 154,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(bp, cmap =\"gray\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Conclusion\n",
"\n",
"We have gone through the basic process of obtaining a sinogram from detector signal, and reconstructing an image using a process called _backprojection_. You have seen that the image that is obtained after this process is not yet quite crisp, and additional filtering pass is required. \n",
"\n",
"Note that there are a few differences between the simulated process here and how actual CT scans are obtained. We will cover those in a video that follows.\n",
"\n",
"If you want to dig deeper into sinograms and backprojections, here's a cool simulator of CT scanner operation: http://xrayphysics.com/ctsim.html"
]
}
],
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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jb-apps commented Jan 9, 2021

Sinogram: “raw” data generated by CT scanner. Images need to be reconstructed from it.

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