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"metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import cv2\n", + "import matplotlib.pyplot as plt \n", + "\n", + "def printI(img):\n", + " rgb = cv2.cvtColor(img, cv2.COLOR_BGR2RGB)\n", + " plt.imshow(rgb)\n", + "\n", + "printI(cv2.imread(\"bg.jpg\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "***Segmentation done***\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "idx = segmentImgClrRGB(\"bg.jpg\", 5)\n", + "res = colorClustering(idx, \"bg.jpg\", 5)\n", + "printI(res)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Just like you can segment with RGB values, you can also try different color spaces such as HSV. Playing around with the distance measure would also give you different results.\n", + "\n", + "\n", + "\n", + "## Texture Clustering\n", + "\n", + "Similarly to color segmentation, you can cluster based on texture detection. The premis of this method is that you generate a bunch of filters of different shapes, sizes, and scales. When you apply this filter bank to a pixel, it will have similar responses as pixels in regions with a similar texture.\n", + "\n", + "\n", + "The first step is to construct a filter bank." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "'''\n", + "The Leung-Malik (LM) Filter Bank, implementation in python\n", + "\n", + "T. Leung and J. Malik. Representing and recognizing the visual appearance of\n", + "materials using three-dimensional textons. International Journal of Computer\n", + "Vision, 43(1):29-44, June 2001.\n", + "\n", + "Reference: http://www.robots.ox.ac.uk/~vgg/research/texclass/filters.html\n", + "'''\n", + "\n", + "def gaussian1d(sigma, mean, x, ord):\n", + " x = np.array(x)\n", + " x_ = x - mean\n", + " var = sigma**2\n", + "\n", + " # Gaussian Function\n", + " g1 = (1/np.sqrt(2*np.pi*var))*(np.exp((-1*x_*x_)/(2*var)))\n", + "\n", + " if ord == 0:\n", + " g = g1\n", + " return g\n", + " elif ord == 1:\n", + " g = -g1*((x_)/(var))\n", + " return g\n", + " else:\n", + " g = g1*(((x_*x_) - var)/(var**2))\n", + " return g\n", + "\n", + "def gaussian2d(sup, scales):\n", + " var = scales * scales\n", + " shape = (sup,sup)\n", + " n,m = [(i - 1)/2 for i in shape]\n", + " x,y = np.ogrid[-m:m+1,-n:n+1]\n", + " g = (1/np.sqrt(2*np.pi*var))*np.exp( -(x*x + y*y) / (2*var) )\n", + " return g\n", + "\n", + "def log2d(sup, scales):\n", + " var = scales * scales\n", + " shape = (sup,sup)\n", + " n,m = [(i - 1)/2 for i in shape]\n", + " x,y = np.ogrid[-m:m+1,-n:n+1]\n", + " g = (1/np.sqrt(2*np.pi*var))*np.exp( -(x*x + y*y) / (2*var) )\n", + " h = g*((x*x + y*y) - var)/(var**2)\n", + " return h\n", + "\n", + "def makefilter(scale, phasex, phasey, pts, sup):\n", + "\n", + " gx = gaussian1d(3*scale, 0, pts[0,...], phasex)\n", + " gy = gaussian1d(scale, 0, pts[1,...], phasey)\n", + "\n", + " image = gx*gy\n", + "\n", + " image = np.reshape(image,(sup,sup))\n", + " return image\n", + "\n", + "def makeLMfilters():\n", + " sup = 49\n", + " scalex = np.sqrt(2) * np.array([1,2,3])\n", + " norient = 6\n", + " nrotinv = 12\n", + "\n", + " nbar = len(scalex)*norient\n", + " nedge = len(scalex)*norient\n", + " nf = nbar+nedge+nrotinv\n", + " F = np.zeros([sup,sup,nf])\n", + " hsup = (sup - 1)/2\n", + "\n", + " x = [np.arange(-hsup,hsup+1)]\n", + " y = [np.arange(-hsup,hsup+1)]\n", + "\n", + " [x,y] = np.meshgrid(x,y)\n", + "\n", + " orgpts = [x.flatten(), y.flatten()]\n", + " orgpts = np.array(orgpts)\n", + "\n", + " count = 0\n", + " for scale in range(len(scalex)):\n", + " for orient in range(norient):\n", + " angle = (np.pi * orient)/norient\n", + " c = np.cos(angle)\n", + " s = np.sin(angle)\n", + " rotpts = [[c+0,-s+0],[s+0,c+0]]\n", + " rotpts = np.array(rotpts)\n", + " rotpts = np.dot(rotpts,orgpts)\n", + " F[:,:,count] = makefilter(scalex[scale], 0, 1, rotpts, sup)\n", + " F[:,:,count+nedge] = makefilter(scalex[scale], 0, 2, rotpts, sup)\n", + " count = count + 1\n", + "\n", + " count = nbar+nedge\n", + " scales = np.sqrt(2) * np.array([1,2,3,4])\n", + "\n", + " for i in range(len(scales)):\n", + " F[:,:,count] = gaussian2d(sup, scales[i])\n", + " count = count + 1\n", + "\n", + " for i in range(len(scales)):\n", + " F[:,:,count] = log2d(sup, scales[i])\n", + " count = count + 1\n", + "\n", + " for i in range(len(scales)):\n", + " F[:,:,count] = log2d(sup, 3*scales[i])\n", + " count = count + 1\n", + "\n", + " return F\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now that we have our filters we are going to display them to verify that they are what we expect." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "def displayFilterBank():\n", + " \n", + " fig, axs = plt.subplots(6, 8, figsize=(20,20))\n", + " F = makeLMfilters()\n", + " for row in range(0, 6):\n", + " for col in range(0, 8):\n", + " f = F[:, :, row * 6 + col]\n", + " axs[row][col].imshow(f, cmap='hot', interpolation='nearest')\n", + " axs[row][col].grid(True)\n", + "# plt.show()\n", + " plt.savefig('filters.png')\n", + "displayFilterBank()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With the filter bank we can now start clustering based on the responses from each filter response. When we clustered with color, we had three dimensions, with our filter bank we now have 48 dimensions." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "def generateGrayScale(image):\n", + " w = np.array([[[ 0.25, 0.5, 0.25]]])\n", + " gray2 = cv2.convertScaleAbs(np.sum(image*w, axis=2))\n", + " return gray2\n", + "\n", + "def segmentImg(imgFilename, clusters):\n", + " #1. Load and display the image from which you want to segment the foreground from the background\n", + " # Make sure to convert your image to grayscale after loading\n", + " img = cv2.imread(imgFilename)\n", + " h = img.shape[0]\n", + " w = img.shape[1]\n", + " gImg = generateGrayScale(img)\n", + " printI(gImg)\n", + " \n", + " #2. Create an overcomplete bank of filters F\n", + " F = makeLMfilters()\n", + " \n", + " s = F.shape\n", + " \n", + " #3. Convolve the input image with every filter in the bank of filters \n", + " responses = [None] * s[2]\n", + " for k in range(0, s[2]):\n", + " fb = F[:, :,k]\n", + " response = cv2.filter2D(gImg,-1, fb)\n", + " responses[k] = response\n", + " \n", + " \n", + " #4.Take the absolute values of the responses and \n", + " # reshape the reponse tensor into a matrix of size [row*cols, num_filters]\n", + " a = np.zeros((h*w, s[2]), dtype=np.float)\n", + " \n", + " for r in range(0, h):\n", + " for c in range(0, w):\n", + " for f in range(0, s[2]):\n", + " t = abs(responses[f][r][c])\n", + " a[r * w + c][f] = abs(responses[f][r][c])\n", + "\n", + " #5. Run k-means on the vectorized reponses X to get a vector of labels (the clusters); \n", + " kmeans = KMeans(n_clusters=clusters, random_state=0).fit(a).labels_ \n", + " \n", + " #6. Reshape the label results of k-means so that it has the same size as the input image\n", + " # Return the label image which we call idx\n", + " kmeans.shape = (h, w)\n", + "\n", + " return kmeans\n" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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7gDMAPmaMeTT/EOaLT8BajvbEFczQemN6rbGBUvrlQ91ZNR6r+JBS++J4rj8CcJcx5k+J6M0AniKiLwP4xwAeM8bcT0T3ALgHwN1EdC2A2wC8A8BPAvgjIvoZY8win4JUD/Dg+loTgeVU72NCNNUNGRvRijOWqnqxq40UIfUxKK7GmJMATnbf/y8RHQOwD8AtAA51qz0A4HEAd3fLHzTGvAbgO0T0AoAbAHyltvFTwxFWn3c1tF2q+HLjpjEhmnJgYo4Xa6/nQ73YeSBZDGuTFHMlov0A3g3gqwCu7IQXxpiTRLTerbYPgP0UbHXLFkVK1TrVu+rL5ohsTuzUZ0/OTT90PKllloYKVGDlsUpi6sIWVyJ6E4DfA/Crxpi/JqLgqp5lxlPeEQBHAGDPm+bRgSAmZNy8z5SH3yeyrRqiWgyIklumLaCpMwDY++q9cRXc8VhlMXVhDTlIRGvYFtbfNcb8frf4JSLa6H7fAHCqW74F4Cpr800AL7plGmOOGmOuN8Zcv3vPxbn2j8aQqLWcVuLg+trZDweuHb5ZTFscR0l5OWO02vtTYW1Lfw/FZsRdVTjZAgTgtwEcM8Z8xvrpEQCHAdzf/X3YWv45IvoMthu0DgB4sqbRY5LqKfoe5pj35HpatSiNoXK253qFpQ9dqsD2+1OvlYeKYhs4YYGbAPwjAE8T0Te6Zf8c26L6EBHdDuC7AD4MAMaYZ4joIQDPYjvT4I6lZgpwSfEkU9bn7jd3nFGuwEpklUVV6jVZNTjZAv8d/jgqALw/sM19AO7LNaokrlgrzYljQ41k/DFEoGQfc5zeeC7COrfzqqQhpodWrYaalJb2GP32Qx0B3P1M3fNp1ZEirCqcighx3bMWzDzIpiRZPyaQQ2VK6Fq6qowlrCqcCgcR4tqK3GT9ll1Ux2RocGoViWH0HCm5zEpca08AN3bf/zGJiYIKRhg9N0otZiWuY1T7SmK2KQNNS4kNLolYWpuKpjI2sxLXMeGMhepbl4sOONIWFVNlakSI66unz+sdK4qY0HIHb8n5bQg7dlo6ToCiKHURIa7AOP3na5BjW47wpSbw9wKrwqooMhAjrjaxHNO5wx1TNUckVVgVRQ4ixbVnySJr4xs8ZWgdRVFkI1pce5beC8oNG4yRTSBxVgJFWRKzEFcXX+v9kgQ3NFNAT434qtRZCRRlKYgT162Tr+z4f3ODN5D2UrzbFI81VQRTy+5RoVWUdESI6+nTZ84T1Z7Q8p6Q+C65j79vMOghASwdGatHhVZReIgQ1xJs8XWFdunhA5uxqvK1581SlKUiQlx//NoP8OrzDw+vCGDPgVuCv8WEtifW22ruwiuhtxdnxgVFWQVEiGsKvQjHRBYYDif02CK8Sp7u2NiTBarQKqvA7MS1x/Z0h4Q2hs/b3Tr5ytnvtUfJWmWx7r1azeNVVoHZiqsN15t11+/pt7OFlhNiyKHlaFtzRseYVZbGIsS1Z8ibDcV1X33+4eJYrm/9zY29VUQ6VZDnLMbq1SpLgYyZfkSqPRddaN7+0/vrl2sJJrfBbKicKajpOZciVbhVgJUp+Oiddz1ljLne99uiPFeXEkH1lZMqsqHwQyqhxjk7RhyitjC3nqkhV7w1S0GRxqLFtTZDYt2LZ274IRVORgQ3awKQ4SGHxNudcNKeMSImyJqXq0zFYsMCew7cUs1zHYupww+pSBBjHy1DFyrGis3KhgXmJrAhW6WKbopXnEqJcHNDF6UDn7uo8Co2ixXXHFGt1QCmlJMj3KmCXBI/9gkzt4ecivBqsFhxTUWqd6jwyemVl0uJdyyhm/IUrNpLRcUVKqyrxlD2RU1aZ1ekMmUqncSXSk6XbO5xqLiiXldaH255qeEGFf7xaBlDtpmyIXAMsZeaC+0j1iW7FBHi+oYLLhXT+FRqw5AYpopl6YPYj5MwlnAow0i6FlN5625qnb0sJs797zVeEq1fAiLEtSfHSyttuGqNbzAYV/BybnA7z9Ne5t50fdnuPiQ94Mp05A5GX4pPHPtlQ8JZy/uOjYLHEfEhcRaR57qxb9Mc/sjHz/6fevI4QjFGVUxydWiq2J+K+HKRmuc8Jg//5qfmleeaIlLHT53ecZFtr3Do4ksWw9yW1VDsyHesYwhu6Bqo6CpLR4S47t5FO8QkJbh8vmjsrAaPLaBTp5vEZnV1aXFuuII9ptejQt6GkrDWKiBCXF1K0yI4gfGaNkgkZn/LlBjOOS/1mIcaPFy4D39oqEgljAprGJHimkKfp9Yz9HCHREdiDl4rOC+OqQW4Ztk53rRPNFRwz6fVoPJLYPbi6iP0MPlERaeN9sOZqjsUgpB2Hl17Yi+OmBCnesBLR8U0zqC4EtGFAP4EwAXd+l80xnyaiC4H8AUA+wGcAHCrMeb73Tb3ArgdwBkAHzPGPNrE+gip3Q5dD1iaQEyN79zNddaAWHw/1avOCUMsRXw15hrnDYx1XgPwPmPM3wXwLgA3E9GNAO4B8Jgx5gCAx7r/QUTXArgNwDsA3Azgt4io2RNXo/qqwhon5RzPLbxiX+uc635wfe3sx7fcx+bG3rOfqQjlP6dsP/UxSGfQczXbibD/r/t3rfsYALcAONQtfwDA4wDu7pY/aIx5DcB3iOgFADcA+EpoH6+fyc+1dYXRhtuopcIaJ1SttsMCsesgnVSBDYVEfPeavSzm5Y7tzfb7G3Owm1WDFXPtPM+nAPw0gN80xnyViK40xpwEAGPMSSJa71bfB+AJa/Otbplb5hEARwDg8ssuyz8ChAWW07ilwsqDExZYlfMXEuOhl0tMaMfMBw411qmA1oUlrsaYMwDeRUSXAvgDInpnZHXyFeEp8yiAowDwtp+6qribWIrn5HpcSj56/s7B8eSHMhd83aTd33OJiSe3443ChxNzPYsx5gfYrv7fDOAlItoAgO7vqW61LQBXWZttAnix2NIEYn2C+5tehTWN/lzZf/X8hYn1lBuKx/q+A+Ve7FTjCEgkdg3630sZFFciemvnsYKI9gD4RQDHATwC4HC32mEA/QgqjwC4jYguIKKrARwA8GSxpYn4To7tTagwpOMKrJLG8VOnd3xSH+DcBiRtfNoJZ1StGl3DOZ7rBoA/JqJvAfgagC8bY74E4H4AHyCi5wF8oPsfxphnADwE4FkA/wXAHV1YYRQ4I+uoOOTTe/1LYexjGWrgijHG1DdTUuIt2jUCKWOGcLIFvgXg3Z7lLwN4f2Cb+wDcV2xdRXJGHFfOZ2nnb8zjKR2H1B2mMnVqdelCW3Mgodi55g5tWMpiemiFGg8Orq+psGZgh09CoRQ3JWlu57dFpkhOI1YKvai6CfxjTl0jEWnT6QCJDVrScQe47asHc3zwp8aXbtSHBELCO7dwQd8o1/reqF1N9cVQY6lcPuG1l0nsMZZ6zmYZFlBWF1+ivOuplvZwWhLuy2UMb4o7jY/r6XKEuRaccIi7Tuq5U8+1EfZNffzUaWydfGXH22vVH/oSbK8/Nlbs0hq6ajCGB5UqjL0na39a405FNDRymRTPs5TFeK72xdnc2Lsj3qrkEzp/7vJVP8+tY601mCL+GpuTKuTRSjtvuSxGXIHzL2RrasVy5xATnmNMdSwknBc3NCClIcut6tuCypn8b85CuxhxHUtY7QYcX4NOjkhKF9Yetx/9XOwu4Zrrbjxv2bGnn/CseY6pBEGKoPoalUPnhOu91ppOe0xmL64nXj6z443YX8yaD76bihRKT7IFNpTmsxRRWuIx+YQ0tl4vsqHZMOYmBrXweauhc8I9R3M8l7MXVyAcAE956EPD6NnL7O9DsciU0e/nTmiGh9jMD0sQYxvuEIRzFIlUUvrsL/l8zFZc+5vY57Xav3MFtmYDjbtPnw1L8fZCcBvCpsD1UI89/QTba3XLcUMEQ0MQDoWsliA23Jb/JRxrjFmKa+rQgv023BlRSwUgR8yXAqdnV7/eFD3nfCKaI6zutr44bOi4YvfvUsTI56EuJcWKi2hx5YhobBptVzBjVdXYg1BTBJZaLe6JdSrwvcCWch5CAp0iujY5Xi8gQ4CHZmQAdoqtBJtbIFZcU2KU3KlcUh5ke/++777YbOi79mLaRsKx54YAcsnJNgDyp4CX7PnagjrH1v9UxIrrGLhdOIdu3NBsp3OdBbU1oVgzMO35GVtgXex9c4TWpqShtFVjEre675vEsbYtklgpcfXFA0PzQIVuWnsmA992/bYqrn4Bdc/fVOdpaoHtyfVse2qKrY2vR1WM0pjqEkMEIsS1ZPbXHGLCGfvd91tOFsCqia/veGMiO9akkVIE1sWXzcAlN57rYlffXXxCWquxaknhAhHiunsXicgD5djgNm65QrDKmQIxQgLrw9cZo9U564VLosj2lIitD24YLETrVv+leLEixBVIm6K4tQ2xRip7Pfd7iDl7qjW8yJDXyl2Hm0JXYqNUL9ZHaSihR3pHl7l7sSLE9fUzRtSFDYlnLXGZE6m2DwliynUOxbeH9l8isIBsLzZEDe+21KNVdiJCXHfvotH25avW1xK/qRtpJDAUg64VE+Rsv4oi25OSd+tS2juxJnPOKBAxWPbrZ8xogmTH8kKx01xS0rpWhZxwDzd2PUTpNSiNbUrkmutuPPtpQX/t7E8tJE3hwkGM5+obTaoVrsAC+W/r0PYtXha14otTwbVX0ovJFtg5e7I+SvJtU6jdnjJFR4kcD1qEuALjTXYXqqJyG2582QGuSJeGGkKdEqboiz8FKdffHTfUpeb5WhWh9VFLfEPdz2tRW3h9MynY+3g4si0ZM26OqY+3/dRV5t67/ymAvBPNfRh9rf5DohryTH1eZCuBXdVeYLFznEOL87U0keXQwsudqrZS2vnh1z79yaeMMdf7fhPhufbZAm6MhpvsPyQ8sQvn660Va4CJdZktzcv0CX2otXzpwgqcfw1Tazbuei3CKkto/EqFe6w5nR/GFtmWMVwR4gqkndyhrqmhskLdX1NiQj5vNzVdKFZ2b8NQt9xVCA8A57/M7GVD5zz195LzuYoiO0ROTHdJDcIisgX6VKwaVT5fDNTXeun+jXmcJd1hufQ2h7zUUDfR2HZzhuulpqR5Df0eehmncOzpJ85+lHOkvnSW4DiIiLlu7Ns0hz/y8fOW+wLQQ258TiPVEKmJ77llh3JvY15qLDY71Q1aM9/X9VLH6lU01rlbNU8396Uj1XkQH3O14Uy3G4KTDpXy4LvrtrjAQyGMFNt827QUW5/ouzHOEk/erWm4ucn9cne/HIbCDGOFXZacgeDDNzUOh7HSNGsiQlxfPW1YaRJDaTcuPq+HK6qh9XwXuYZXHGogCxGL9aZUlUvwlV1rfyllc2Ow7jbc/Y7FqsRtY1PjxBhbYEv3JyIscOn6PnPo1juwdfKV8+Ze9y3jerA1vDbuyZ1CYH3b+n6fU/zKF2sdSm3zXaPSFBtp52zJglsSn24pthxxjYUFRImrTY6o2nDyUmOEGpBS9pnKUOZCaZijFK5Qp77UUtKqUhsca1Hz/OZ6br4yloiExsBY1pHNLMW11OuolRsaE9lWgtYiH7OEFt6v7xhDjVe5mRwxcqp8U18HDksUXQli2+PeM7MSV+7I56Vw4nfcFvvacMW1dWZASfmcbXOEcagsnyAPpXK1rpFMxZKEVpLA2nz0zrvmkS0QEtAawsp9KN3WaXv7sargXK+qdcJ1jeMMvahKbeGGCDhZF3ZDqe9FPre4dY8rSH1L/RxFl2OzNAEW4bmG8lxrM/SA14iZDu0zxwNsEeesue+YPaHcXXsdm5JsjFDOsA/ffrjZKDF7JOQZpzJn0Y0xhtjGPFcR4tqHBVqP1Rh7uDkNXDkPeWz/sW2lPJi5Ajt0boeENSayNa5FjJQwhpTr1JqlCW9P/1LJFeIqYQEi2gXg6wD+lzHmQ0R0OYAvANgP4ASAW40x3+/WvRfA7QDOAPiYMebRofJLhbW02jkkatzsghCp3icnW2GM7IHQPkrjqDnn0+1YUCPcMLTvWAMbx+aliG9MfOYsvL3tteYls2F7rkT0CQDXA7ikE9dfB/B/jDH3E9E9AC4zxtxNRNcC+DyAGwD8JIA/AvAzxpjgnZ8SFqiVSMxpic4h9oCVpBLN4SHNPZexTgDuuctJkasNJ1WPTwEAAA4mSURBVB/Z/s2N487hWpYwZ7FN5dAv3FQWFiCiTQAPALgPwCc6cX0OwCFjzEki2gDwuDHmZzuvFcaYf91t+yiAf2mM+Uqo/NKYa2ou6pi9c7iCk9KiXTOEkVNOLJ5akkY2dA5itqUKLCcDhVN+TqPikjMUbFZBZGPiyg0L/AaATwJ4s7XsSmPMSQDoBHa9W74PgO1Pb3XLdkBERwAcAYBL9l4a3HHMoxnydHzEPKBSfGLE9ZCHjqdljDHEkLj4whiphPJdObbFPF7OekMCmyqYvm3sbt39vubY6JWDr1q9CoLbMyiuRPQhAKeMMU8R0SFGmb6pXM9zj40xRwEcBbY911BjRqiBo+TBjm1bcrPHti2N2dawIZcUTz/1OGLXNbYfe3lOLmufduUKrE9wSzI+hrzjofj10sR3lQSX47neBOBXiOiDAC4EcAkR/Q6Al4howwoLnOrW3wJwlbX9JoAXh3YydCPVqF5LpsYD1soj4nqTsUaokn1z14vtyz0Gd6CgXlR9ua45Hqy9XSzmmhIKWSq+fNwlkJSK1Xmu/6yLuf4bAC9bDVqXG2M+SUTvAPA5nGvQegzAgViDVs4cWjW8JsCf25gTJxx6uFvTsqWa67mG8ky5eaGcfcSI1UJi+8kd5pKTtztEybnhljNnpAttjZirj/sBPEREtwP4LoAPA4Ax5hkiegjAswB+BOCOmLAC23No9XCSv32k3Ii2oKamgEn1NGplUaQQ2x+3plHL7pwGLWDnPeCKLKdKD/A7JKQ2THLCHb0dSwwhAPMe71ZEJwLbcwXyvRnOAzY0u0FOGpELN3Qxp4dhjCyM0vi3m7UQ81xj94GvEcrermZO9hCxUEZvx5zuoxpIEtlWnmszuC3+OdToBTYkNJzMgBo2cPItW+AT0iEvlmNXrfPCsckV0tC4Aj6hDQksd1qi3Pu3t7FWeXNlLoOKixRXoCwDIJVWN+aQ6JU8FKlVzBJcIeemxpW0sufaF7IF8Ht+tvj130PC6cssGKLmiG7ui8Bm1QQWkB8yECuuKbE4Tr5jaB85lCSv2w9B6cMwxsPkS4nLsaelrW5KVuiahLxTDpyQgfu7vaxmDy3fPsYWVu6LfaxGOYkZB2LFdYgpGm98Fz9V1Ft0WmjhtdQ6v0N5nEC41T3nmDjJ/KlzsdnEtmkRFrDvL1fg7eOQ6rmmZlTUOg4JXu1sxdWltdc65JX5Gh7GGuWrtVdYQ+xiv8Vi65xyOLhV6RbXxlddDwkuR0RiHnho/bEENiXkM/Rs2ueohf1TxWhFi2uo+u0+8O7D72vsaX3T2fs7uL52nkcp1bOI4b40So+hZHvutimNWEPkhH9CDWI5Yh6LHUsQ2J5aL74xRHZMgRUrrr7GETf+13+fKtZnM9R6XrPq228/Rhwz9D8HbgaB/SLKTecqyXPl7Cf24o6Vb/9fy1sOZQ3YYxdIepFzUidb1/J6xvRixYorN1bDudG5tKr+1tymxrZj7SeUsrX/il3e61aSzsWJfXM91hhuVoJtn03LlL9UoY7V+qYk9OyGMmt63BdjTlbKGA1gYsXVxXcjx9Jvct7edmvzGOlZNcpKsVOSR1P7PNikiE9sHIGUc+UKxVBvL27e74mXzwQzEHy4I2/ZLzJ3uc2U9wb3XADnwm42vnsp9Tq2GFBmNuIKhLsbxhpEajZc1cC+SVLsC+WWcqkZO83ZJ2d56T5iGQE5XmvJefK17MfipENlce3nDjrjio+Ul24M98UV6lpcqyG0NIQwK3Edqi7MiVyv2ialejfnhrUe13ZfVXyotX7r5CsAgM2NvWe3ccl9AcYYGgCmtsAO7dNGSphgCDdGb9Pyvs5N6xIhrq+fMcnpHCken/SbZixavYhyyw15czmt9D1DItSLar+ujxqeT0jkQ/vktB2keuE5IjuXZ6U0ayW3rJR5tUSIa09pNblGuXMjJy4oHTde6Lt+vjhrjN5jBbYFlju+au69E+vRxW2sTSk7tl4I33HPxYstoXbmTggR4rp7F1VLQu5pPSGcFMGWYIevMcfXgOOmWw15rUPLQo1HwE4x7bG9VptQa7rv9xChqr0tqKFrleuph8TT7cEVWtcXw7QbdV3blkKJ55qCCHG1CTVaxSiZSiOVKW+6UAuvBIEFzl2zoS6fNdLnhrZ1hdQntrYtoXK5Y7zG7lvuNYodU8o5S00Dsz1h+8XIyTKYI2MdgzhxdW+ilJuKE8OrgZQbzBWrHmkPQsiOMRvZQrHW1Jf5UBwzFK8tPT7ui6gkXt3TP0e+Y5F2b0lGnLj2uNUTDjm5hKlISsIOUfIgtBC6oTJz9ufLeyyJQYZSukL4RDa3F1ZpQ+PQyyu2j9CxDqV01Up3WjIixLXPFuASqq60bg0PeYpSyRHZVi+kMRgSWY742du6aVux/fmmDErJgCm5fzkvxByPlpttoELrR8Q0Lxv7Ns3hj3x8cD29cHw4D24LD9VH6+vm22+OF9uLZCg3Fgjnxw41HoXELXdyRB+5nUpSO1jEjj203hxqfDl89M675jHNy1Crf62L0/Ii+0RNQuPXGDa4Is7xxmIdA6Y4b/09aHutnNxYXxnc9WPl5IwhwK2h2FkbsYwL13NPzbN197sqiBJX4PwYlkvN5OHawpeTwpNattSb03es3OqqL5OglJwQgS0yvaC4AhOqKg91XuB415yZErgvrH7dGENx61A4JIfWwwlK5A1TG2DjjuvI7fJnN3ylNoK1itPW2od7PKnHNxY5D4wvI8T9cPdt798dG7QEn8DEQgol+PJTbVLPMfcc2uX2sWPOsXDXccuUeP+2QKTn6gqsj5CnFGKMeGCLRjVfKprUN39qA9pQ6CL3JembdJArtr7W/4Prb0luDHOXlQpv6FzGZqz1iRknLa5nqBbpruNbt/b8YXNCnLgC8f7XoeoVZxgyX3m1cQP3NUIPrcMZtallW0o5nBebXRPiel2posztdGCX7+4nNWWMO3eXuz0Qf8GFhHYIN4tiVREprjF8D5HvIeBc1FbebM3k8b6MValKlRBLN/J5s7Ht+zJyezulrh/qJWXb4ts2FlPeOvnKjuyGoRcFpxG0JO+8lDnU3mxmJ64uOTmNPu+y/y6VudjZkpSHK9SzL+WB94ltSo/BELmdFEK/h8rb2Sjnb5yyy+HcX9zQTch+bq2rVqPdlMxKXFPf3pxyQt8lXrQxbKoZcmgVvvClfMXW7W2pvd9ccu5ZXxmh8ty83M2NvYMdImrjhkm4KZWhsJ/thdvlSQ6RzUpcQ+SGBUqQfFFLyGmRDpURErbSfaR0xUxtFEvNEeU09JQIKTdG7EsjsxkSVbumV3q9XLtCcM63fUw7B985F+6Q+izOTly5nkjrYLrEiymF2rFsjsfI6YXGKYPDiZfP7Ojyypnjytfg5ev5FYJzPw95sC5D3mxJd2lug/JQWAHwj2jWe7KSG81EdH8lor8E8EMAfzW1LYm8BfOzGZin3XO0GZin3XO0GZjG7rcZY97q+0GEuAIAEX091EdXKnO0GZin3XO0GZin3XO0GZBnt6geWoqiKEtBxVVRFKUBksT16NQGZDBHm4F52j1Hm4F52j1HmwFhdouJuSqKoiwJSZ6roijKYphcXInoZiJ6joheIKJ7prbHhog+S0SniOjb1rLLiejLRPR89/cy67d7u+N4joj+/kQ2X0VEf0xEx4joGSL6uHS7iehCInqSiL7Z2fyvpNtsQ0S7iOjPiOhL3f/i7SaiE0T0NBF9g4i+Pge7iehSIvoiER3v7u/3irbZGDPZB8AuAH8B4O0AdgP4JoBrp7TJse/nAbwHwLetZb8O4J7u+z0Afq37fm1n/wUAru6Oa9cENm8AeE/3/c0A/ryzTazdAAjAm7rvawC+CuB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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "idx1 = segmentImg(\"bg.jpg\",6)\n", + "res1 = colorClustering(idx1, \"bg.jpg\", 6)\n", + "printI(res1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With the texture clustering, you can see that part of the ocean was in the same cluster as part of the sky or beach. This is to be expected because they were clustered on texture and not color. When doing texture detection a common thing to pick up is blurryness. This maxes texture clustering useful for things like background removal when your foreground is in focus and the background is blurred. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Takaways\n", + "\n", + "Due to the k-means algorithm not always converting on an optimum answer and being profoundly affected by outlines, it is rarely used by itself. However, it frequently used to bootstrap and influence other algorithms.\n", + "As the MacQueen stated initially in his article, \"there is no feasible, general method which always yield an optimal partition.\" Due to the nature of NP-Hard problems, this fact is unlikely to change anytime soon. More recently, people have rebooted k-means to include a beam search to avoid converging on local maxima-- this process is called \"k-means++\" and Vassilvitskii outlines it in his 2007 paper titled \"K-means++: the advantages of careful seeding\".\n", + "\n", + "Another major question in this field of research research is: how do we choose k? Newer work with k-means and other clustering techniques look into how we can automatically select a k using the elbow technique or other techniques like GVF.\n", + "\n", + "K-means has had a lasting effect on the field of machine learning. Most textbooks and AI classes cover k-means clustering as a starting point when teaching people about unsupervised learning. Moreover, algorithms to this day are still using k-means as a tool behind the scenes to pre-process data before it gets fed to the next step in the data pipeline. \n" + ] + } + ], + "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": 4 +}