├── README.md ├── lane.jpeg ├── lane2.jpeg ├── lane3.jpeg └── lane_detection.ipynb /README.md: -------------------------------------------------------------------------------- 1 | # (Road) Lane-Detection-System 2 | 3 | 4 | ## Abstract: 5 | Road safety is always an area that concerned many people around the world and systems that aid the drivers have been appearing ever since cars and computers were combined to make driving safer and more efficient. There are plenty of systems that are able to warn drivers about different types of dangers: lane departure, collision possibility and various traffic signs. However, there is still room for development, because modern technologies, like the rising vision about the OPEN-CV, allow us to create much more efficient systems. Also, the detections can be improved to perform better in various situations, such as different light conditions, road quality, etc. In this project, we present the plans of a driver-assistance system, which will be capable of road lane and traffic sign detection by using an OPEN-CV. 6 | 7 | Lane coloration has become popular in real time vehicular ad-hoc networks (VANETs). The main emphasis of this paper is to find the further ways which can be used further to improve the result of lane detection algorithms. Noise, visibility etc. can reduce the performance or the existing lane detection algorithms. The methods developed so far are working efficiently and giving good results in case when noise is not present in the images. But problem is that they fail or not give efficient results when there is any kind of noise or fog in the road images. The noise can be anything like dust, shadows, puddles, oil stains, tire skid marks, etc. 8 | 9 | It is developed thorugh OpenCV (Deep Learning) 10 | Programming : Python 11 | 12 | ![lane](https://user-images.githubusercontent.com/28294942/137758174-63d7c31d-b9f9-4c95-8295-559cf0ab2593.jpeg) 13 | 14 | 15 | I have Updated Code for Indian Roads(Rural) Detection System. If you want then mail [vatshayan007@gmail.com] me 16 | 17 | Note : Just download Code and run on your IDE 18 | 19 | ## Hi there, 20 | 21 | If you need PPT, Research Paper, Project Code and Report of this Project Mail me. 22 | 23 | If you need any help regarding College project contact me. #Free_Discussion 24 | 25 | ### Contact me: 26 | 27 | WhatsApp: +91 9310631437 (Helping 24*7) 28 | 29 | Gmail: vatshayan007@gmail.com 30 | 31 | #Free_Discussion 32 | 33 | #open_source 34 | 35 | #free_explanation 36 | 37 | ### Advance Road Pavement Project Youtube Video : https://www.youtube.com/watch?v=BEUFt6_UjYM 38 | 39 | -------------------------------------------------------------------------------- /lane.jpeg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/Vatshayan/Road-Detection-System/c87a5b9e7026edb9aecbd32d9f2de208a219051d/lane.jpeg -------------------------------------------------------------------------------- /lane2.jpeg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/Vatshayan/Road-Detection-System/c87a5b9e7026edb9aecbd32d9f2de208a219051d/lane2.jpeg -------------------------------------------------------------------------------- /lane3.jpeg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/Vatshayan/Road-Detection-System/c87a5b9e7026edb9aecbd32d9f2de208a219051d/lane3.jpeg -------------------------------------------------------------------------------- /lane_detection.ipynb: -------------------------------------------------------------------------------- 1 | { 2 | "nbformat": 4, 3 | "nbformat_minor": 0, 4 | "metadata": { 5 | "colab": { 6 | "name": "lane detection.ipynb", 7 | "provenance": [] 8 | }, 9 | "kernelspec": { 10 | "name": "python3", 11 | "display_name": "Python 3" 12 | }, 13 | "language_info": { 14 | "name": "python" 15 | } 16 | }, 17 | "cells": [ 18 | { 19 | "cell_type": "markdown", 20 | "metadata": { 21 | "id": "fOLJtdTB2tCO" 22 | }, 23 | "source": [ 24 | "Lane coloration has become popular in real time vehicular ad-hoc networks (VANETs). The main emphasis of this paper is to find the further ways which can be used further to improve the result of lane detection algorithms. Noise, visibility etc. can reduce the performance or the existing lane detection algorithms. The methods developed so far are working efficiently and giving good results in case when noise is not present in the images. But problem is that they fail or not give efficient results when there is any kind of noise or fog in the road images. The noise can be anything like dust, shadows, puddles, oil stains, tire skid marks, etc." 25 | ] 26 | }, 27 | { 28 | "cell_type": "code", 29 | "metadata": { 30 | "id": "JD7T0-3h0QXD" 31 | }, 32 | "source": [ 33 | "# import libraries\n", 34 | "\n", 35 | "import numpy as np\n", 36 | "import matplotlib.pyplot as plt\n", 37 | "import matplotlib.image as img\n", 38 | "import cv2 as cv" 39 | ], 40 | "execution_count": 7, 41 | "outputs": [] 42 | }, 43 | { 44 | "cell_type": "code", 45 | "metadata": { 46 | "colab": { 47 | "base_uri": "https://localhost:8080/", 48 | "height": 286 49 | }, 50 | "id": "FtsBFGPj1HFv", 51 | "outputId": "4418bb94-08eb-468b-8d3a-e67c9127b5fd" 52 | }, 53 | "source": [ 54 | "import cv2\n", 55 | "import numpy as np\n", 56 | "import matplotlib.pylab as plt\n", 57 | "image=cv2.imread('lane.jpeg')\n", 58 | "height=image.shape[0]\n", 59 | "width=image.shape[1]\n", 60 | "img=np.copy(image)\n", 61 | "def region_of_interst(img,vertices):\n", 62 | " mask = np.zeros_like(img)\n", 63 | " #channel_count = img.shape[2]\n", 64 | " match_mask_color = 255\n", 65 | " cv2.fillPoly(mask, vertices, match_mask_color)\n", 66 | " masked_image = cv2.bitwise_and(img, mask)\n", 67 | " return masked_image\n", 68 | "region_of_interest_vertices = [\n", 69 | " (0, height),\n", 70 | " (width / 2, height / 2),\n", 71 | " (width, height),]\n", 72 | "gray=cv2.cvtColor(image,cv2.COLOR_BGR2GRAY)\n", 73 | "canny=cv2.Canny(gray,100,200)\n", 74 | "cropped_image = region_of_interst(canny,np.array([region_of_interest_vertices],np.int32))\n", 75 | "plt.imshow(cropped_image)" 76 | ], 77 | "execution_count": 31, 78 | "outputs": [ 79 | { 80 | "output_type": "execute_result", 81 | "data": { 82 | "text/plain": [ 83 | "" 84 | ] 85 | }, 86 | "metadata": {}, 87 | "execution_count": 31 88 | }, 89 | { 90 | "output_type": "display_data", 91 | "data": { 92 | "image/png": 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WZLUJ6ydD98QDpdW2KA4FLid0z6A7QQ3wxk/fstB9F43WvnonqAE+C1/JKJc42sx4vUiDGqDix2EMe3EEbqbibNq3CVO5sujHE8guZSZ7hWOR1iYebvmZIlWIf+zjuD3UsLGlxrTheEw6mLtIraMj805twc1UnIZvDsFvxUE0uVfUn4WvpIKpOM37vYjb9oh/Nml6IYgfE0qzLgdpU7UpAK8f2sq7w1/Af+QRrvWsx/rzy8gGBvq2QGfKPO2i4MiVtbgvTBXK0+xoOjVsbGn4zjA8vjyDJSMDQ+2qPLb3Cm6m4jR+aRClN0WhMzPJaVGfFt+dyg3q/gOw313wdyr+G9oE75bfhte2TMzJyYx7/nkyRtzg4pD6uK6P5unXXqWKqTjNI65jrOZb1OWKh4j0WYtCpwJrceFNCydCllB91lA8550m59JlMp8KJHXYLXYGLCZwxiiqTD+GJSWF5B7BXGpmxjEudzrTyp9EPBBBnfh6KKluZhwuGkFBZo10fAfHcrVrTa4FaBwuGXCfdYJzQ2twcNgUQg70wmVKcUzbDhR16cJKSJ+1KDK6UQDRfR3ZGTSXehHPUuWjA+RcukzWkw2Ifz6b5bXmE7SvH27jw7CkpJDWuSFJDcCYbMJtfBhu48MeiKAGyHEADFDijIUqU47g7JRGYv9alN16nhLRBtJ8srjaqTpu48MJ3N+b1XU+52xvTU4Lma1P5J+EtSgUhppVMQRUJ3aggT0dJvJ/Sc1w7RCFquqFIaA6GaNusLXRdEbHdb0zDM9Yw5/MF69jm2zA+7XwIj6D36vyXhjO0UZKDj4P3pVx7RBFp/47udKyChVWxVJps5HQEfsx1KlGhU6RvHGhIzuaT+XGyNsY/X2Kunxh5aQbRBQ4ZWfH+6d2U8cWsrWZHqc7kdnsEgZ7e5bGbMdOmbBgod7ugXh2P3qnzagTh/nf2H4UX7mniM/gr+U8Xp+p86fziv9j6MxMKu5xImxbTTzf2Y/BswpLti+mZ43WmJOTubiuGgcCF/PhtRrsru/8wPyWIB5MMs5a3DcGJyfWndqOnbKh0chBFF8dAYCpSiXW/bQWG2XkiWf6osKP5c7toTUGR0fWxeykc7NuhTYxU0Ezurry9eFv6VjvKcxXrhE9sz4e3pexbXUOZWfH4tjt9OowEH34JPFjQjgxfCZns28z2L1xUZcuHmDSZy3uCxVYi5GH9mGnbGjZoz/Om46BxUxGm/qM/P4bbJSR1m17YoiIBIsZtEbVrcHwowexUzYoc+FOzFSQzFev0rFld57aHkVO8wCqvRPHzbWVqH1QoTMz6d2yDz5zY7nROxj3WZGEvDoYe1XUVQtrJlfWokCkPBuMz6iTTKv8Ha3++zKllx8i6qM6uFe7xPnLpSj9vT1ocFm0j5gv6lBhow1Kw43nblNsgzMApVcewZKWVsRn8s8k9wjmWvt0SmxxpOwPCSS2caNEp0Ts28Rzu1N9ElqbcTxti/tnMSR19MHp2UQcuqdgvna9qEsXDyC5shaFKrlHMLrvFUaW/56A9SNx+TKc86Pr8e4Tq6lR8hIOxxwos+YEt3wg7r0gFjX5jOy+18nse4PBVXfj8mU4Ll+GW11QAzgv3YPpeDFu1NQkNa9Eha9iOBfnytl3A3H+8SwlD9uSXt5C4nO+uC4+RNzZspx+2R+jn3dRly6szD3DWik1XymVpJQ6fte2j5VSp5RSR5VSa5VSJfO2eyil0pVSh/MeswuzeFH0LM3q4joojkn+K+l3pA9+ww+Q1TqQVYM+4Za5GLuW16fK/Biud6hO1AuzaNdmL7426Yz02U6jCmf44nRwUZ9CvlX+IAzbGwaSW6eSVbMyfoMiaNrqKNee9Kbi2jhKH1E4PHWZzKY18Ru4n2qNz5D4ZDmMvl5FXbqwIn/nyvpLoPVvtm0FamqtawPRwJi79p3WWgfkPQYXTJnigaIURldXjK6u9Jyzic+8VvPczoFU6BKNyd2NH+bPw15Z+Grsk1SadZhrrX1Y+MGnRGalcbKJPUuTa/Dh3GeJrJ+Da4eooj6bAlH5/8Iotc6RbjO/xVi6FOcbptL6lV0kPO1BmRVHKf6BE+/O/gyjqyvpjyVRt+cxYgaUK+qyhRW559wgWutdSimP32zbctfLPUDXgi1LPMiM3h5s3rX2zuuACa/hNzUM3SiATV99CcDwxt1xuLCP6MnB1K0fwwj3Rnnvtr6ujr/Ledke1h0I4esjK2nvFcqeOmBYf42Yhn549zzEhHrN2HxyK20D2wD/bOV1IQqiz7o/8M1drz2VUoeUUjuVUk0K4PPFAyTl2WBmbFuEWVto27Adbeq0ovycA1waFcpny6aTZE6lTZ1W5MQnYNlWGWWGtPbZmCq7Me3cT0w79xPrR7ag4vSH8xZsc8wZOtVvw4RTuzDUqUa5nonYnnSgyt5imG/eok2dVgzYsYvZlbcXdanCyuRr1j2l1H+AHGBJ3qaLQBWt9TWlVH1gnVKqhtY6+Q/aDgQGAtgjU0tag/gxoYx4/muuW2zp/8IgbOMjQGtOfxrM/7Vbxo/p7nw+ojM2VyKw2VGB+DWV8fv2MhkNfAj9ZB9+NsVoOnQgxfZGYnlYZ6TTmpxLlxk9eBimiZdJm1MDzyXxHEqqTdWwSK6EXmHa4GeZYmPA9/RlzEVdr7Aa/zqslVJ9gXZAC503/k9rnQlk5j0/oJQ6DfgBEb9tr7WeC8yF3KF7/7YOcX/Ejw2lTddwzBjoM2cUlb4NA+DsuBBGtt7M/tuefL8wmAo7DxA1NxDbn0x4f5fEzXqu6D5XGFgqHP/PX8Nz434sOTlFfDaFz/a7CC7WDOV2YzOZzpUotyWe/e7VyJqbe+5Vp6dgjjlTxFUKa/KvukGUUq2B14EOWuu0u7a7KqWMec+9AF9A/kZaueQewQzuuQkP+6tM2tyWShNyg/pm7xCmd/uMqznF+XZ1MJWWRHG1Vz08PJPwnhRNmrcL2b2uM6Xqcp7aPwiPt8LRj0BQ/6zCp2HY3DJwrb6ZlLoV8Bp3BA/PJI61mUZsTxdU/RpFXaKwIn9n6N4yIBzwV0rFK6VeAKYDTsDW3wzRawocVUodBlYBg7XWMvrfWimF0d+H+eMm0tAxlhlL2uP7zjGM/j4Yq/mybdwk7A3ZbJrWFPeZJ0hp4sPw11Zj2+oclHSm5ntHWV5rPoOOPo/b0/d/zcQHgcdb4ZQ4aaLia7GoSuWxbXWOWTdrsK/Hp0QNKIbJrVJRlyishNzBKP6UsXQpNh/bTrY203LwEOw37udmr2D2fjiLbJ3b29q+Yx/0gRMkvB5Cn+e/4/uaTmAw8r/Te6hva8R/2VC8X32wJ2a6HyzN6jJ34TQGezYDixnXsJIscN9O59g2ZDa/knv7vXjkyR2M4h+zNKvLyiObAejUqDP2G/cTMyWIXROmsiPdQHuvUNp7haIjjnN+ZU0OvDQFyJ3IaeX53QTZ2dDk5aF4v76/KE/jgWHYdZhhQV1Yff4nTBXKc7VZGj5fD2atz2aGRUUWdXnCCkhYi1+J/rwBz51KZMRnK0jTZlq37UnO+QSS1vmzocNkBl94nA87dkNnZqIzM3HYWY7NQbNocrgHPzxTD4ASBgea93uREptPyBXjz7SG9AyKG+x5fsdesprXpvoH8QRMHs6TjrfoFnkJZWdX1FWKB5h0g4g7oucFMumxZSy93JCYZf4YcjRl5oRzZmkAi4I/56XI7th9VgrHtXtBKRJWV4e9JbC5DS4xWdifu8mFCbaYtpWk/PzDVjnXR2FSJhOXBwUBcCswkzI7bCmz+xJxz1bg5LCZ1D/QjXKjszn3TAVsg69zM9EZvyH7CrWmzDaB3Br06xt0Sk9yxLjjYKEeV/wx6QYRf00pEt4IZUXLmSy93JDYJX6UnRGG6/wDxI8JZVfj6Yw53QXj4tI4rt2L0dmZ+DdDONDwS9y2JVPskpnL9W05+1xZbt90oOz0MAnqP6Bzcig7I4yyM8KwPWfHtdqa6w3L4TEnCp8dfdlTbxlRw8qR7mYm5bYD2FpIfC200OrJaB9EQlMTKbcd7jw21P2Msy9osloHFtpxxb8jYf2IU3Z2mB+ry74Rk9mf7kX8dF9cZ4VjcHIio2UdToyYybLk2hjHlcZ52R6MZUpzq3V1ToyYyeTr1TGkZ3OrVwpLBk6iRFASfv0ezjsTC5r7O2HYXTOQ2jWZHF83vHse4b9J9YnoOhFDmgG/91OoOi2NNj3CsDSri7KxLfAaErpn4x8ch8/kHLx7HsK75yFeiuvMlqbTuPxiOpZmddGhdQr8uOLfkbB+hCmTCWr68P2S+dyyZLGxeyNKrDuM0dmZ9MZV2fH5PC7m3GZbS1+MPxxE2dmR1NGPXZNmEp9zmx2BpdFx8ZjNBrr8OIQSbWKL+pSsSuUPwnBa7syLC9ZhdHLicF2Yer0BJ3pM5dw4O4g5x9HGxfhi0TQMPu5gMBbo8c1ZBpb4rOH5xZsxOjtjdHYmtdlVekf2ZlvQbFYunsGUpbPu7Cvo44t/RvqsH2E3+oSwb3zuMLz2XqHozEyubvDjQP2VAMTn3OaFKr8sQxUzoyFnOs9hW7qRj7xrAdD55BVmz+5IualhRXIODwOTlwfrflxNB+9GWDIySFxbnWMNlzLxuhff1cxdmOF/Z/fz8mvDKbZqb4EeO2l4KIfGzrzzus1jT2OOPg1AZttAdsybd2dfi14vYNouvzkVJlmDUfxO7MRgtjz9CXE5JZjYrDU58QnUPqgY6/oToXsG4TX6eu48FwmJAFi2VWaJ33KGn+tA6jM25Fy6zOuxR/lgSD/sdp+UPur8MBgxVa7Iy9s383HX7hjOX+TsiKocHjCF79OdmOpTFVOF8mQttuH8Hjc8/lNwK78bHB0xlHIBWxvW/7iGE9lZDHl9FMVX7kHZ2GIs5wrAnLAVpFgMdJvxKhU/ln+YC4uEtfiVmC/rM7nRMrbcrMXxd2pjtzl3LHTPU/G8u+Vp/BbcRh/45Y7DrK3uzPRdRqe9g6kyzYDt2SScVmZwYYofJb49iTn5d/N0iX8hrXNDsgdcw/hlGUpGXOJ8l4ocHD2NPnEtudnJRHZ1N850ssPiYMFvcAGPElGKtM5BaAWXn84k0P0c4dFed76DSO8YRJ8J6zEqC1uu1eDElfKU7yTjwwuahLXAYG9P9IQAAGa0+4K5iU2JW+pD+VXRRP3XFwBlBq9V6ajwI7mv7eyI+bAue5/+lMbhgym30AGHhFRi+jihcsDnzYhHaq6P+yF+bCgZrhZKH1a4br9A5GuVONN1Dp4bB1B1egqpXs4kNDVgzFB4ji24K+y7XRkSglePGPpV2M1LG/sC4PfmYeJH1CO9vIUy1a7yRfWFtFv3MgD+H5zGfOVKodTyqJGwfsQZy5Tmajs/9o2bRe9zTUnLseXsIl/Kf3OBxA5VOPSfmXQ/+zjJfUpgjj2b26Z0Ka619WfvhNw2l171wpiaxYXWJbFrdJUy7aOL+KweXmfHhZBdJgf3teDwwzGKbS3Ol54bqbdwNN7Lb5Bd2pHbryUX6he6VweF4NkrBkdTFgvddxE0ZghlNkZhvnad9E5BlH3lDCaDheWe26k7bigVN1wg59yFQqvnUSHjrB9hBicnbrb0JfyDGezJMHO1vQ3pzxgp/1088V2qsG/sNHZlwM3Hbt8JaoOTE8nNfQkbn9emkz02py8S9aITNiHXJagLmefYcEoetaH6+8cwuJYhpclVvrjlz8Hekzg1zAnbk/F3gtpU2S13VE8BKzMnnJQmV7nawY49GWbCx80gs44nAA7r9pHS5Co3myWzI93AvjHTuPB0ZUzulTGVl6XKCouE9UMu7uVahE2cTVxOGu941cd89RqeG26yKXwDR96YyZb0YnzgFYDOzrrT5vyIWuyeOocEc16by0mUX5eK8baBsh1PFeHZPDrKTg8jdqQ/X4StAKXYWMOF/nFtOdt+HsVX/3IL/xdhK7AEFd5Uq+YrV3jHqz4J5jRQv96nc3IY712bTWklOPrqTDaFb6DqJukOKSwS1g+xK+v92T9gImMv12Z49Sd/tc934RCe8m/C9Dr1f7U9cW119g6dyLir/gyqltvm9dPHiPq4Bt5vybCt+0mFH6VfYBcWnd+Nya0SKR0SwVYAACAASURBVC1T8Vo9iCWeWxgWk/vbTZ+qTxAyK4JLIwvvTsefrfpyGvFjfn+cOQF1eMq/CX5fDuGj8hG8fUZuVS8MEtYPKbud5fmqzuc0iujHob41sKSmAuC7347/lNuGwQyWlJQ72wHU9kqsrjeP5od782Pv+mAw0PJ4Cv8b3h/nbad+dfUt7gOtybmcRK/uw3Bfe42MZjWp9kkidaeOoKXDTR4/lgpas7dvACn1MoiZ1rBQy2kx7hU8Fsb9brslNRVLSgq+M8/TYPxwguw0LY+n0PJ4CrpRQKHW9CiRsH7YGIycXhrAFI9VPLl7BC5ziqNyLJxdVoezy+rwQYUdhG56mSrfpP/SRilOL6nLDO8VtAsbSrFZJVDpWcTM8Wbhwidx2HkC881bRXdOjzKtUT8dJmxhPeKeVlxt5kaVNZeo+8VI3igdw9kvvTGkpOG2xoQx1UDs5OBCK8W580WSG1b+0/058QlU3HCBelNGsHDhk/QpcZTsd29wdlmdP7wiF/+MjAZ5SBir+ZLYyhVthIhXp9HieFdsPiqFTXIWMT2KceSZyYTs7w+A23tgOXwyt52zMwn9a7LvtSk8eeIZ1KdlsLuazoUnS5BdKxXP544U5WmJu7j8VIrE2yUwf1aWEj/EcmFeOSKCFlBz0Uv4LL9FmltxEp7Lxik8dzKtgnRmaQCrQ2fT63A/DNtdsLmtKTX/r4cOnl4agINDFoP9fyQp25lNU5tS+vPCGW74sJChew85k3tlzvSpzIGBk1mc4gHAuo4hYLFwalRZ9nWcyORrwewP+PXcDkYXF1Ie8+PHGXP4/FZ5VndpAtk5nO1VAdeQizg8ebYIzkb8mQurajKqxnbmnW5Mmf+asBw+yePHUhnscpQGS17Gb3YiFicHWi3dx5Z+jeBQZIGOg7/9rRd93PfgbXuZbG1icvdn0BHH79nu7IQQpnf9DKOy8PGzz+VuPBaDflhXuM8HCeuHmLKzI3peDaJazGNJSgWWVa2Iwd4egNSvK7Ct5ipGJjbidGDGr9uZTFztG0jE+7NIMqfS26s5GBRJX3lw83pxfPvKl4kPqtSuDXl7wnwm1ayPJSOD0CNZjC1zjPr7e1Hx2TMoo5GlUd/T84k+mE/F5i58UICuDQhhxzuTMGDg6WotIDsbS1b2Xy40caNPCFs/mAjkLk7RukMv1PFYdE6O3Fh1Fwnrh1jNAwY+rXCQxke7UOypsyijkVVxu3FQthiVAa8tL+Db7+DvfmCjZwcR2342W9MdmORbHbSmW+QlZkztjOvsPQX+Ay4KlsnTnXW719DBrymWtDTOr6xJZKNFTLvhzsYaLqAUr8ce5a3/DMBpecGvgWmoU41vvlmGWVsACH5r2D27RVAKZbJhzdnd2KncseE+WwbItLp3yVdYK6XmA+2AJK11zbxt7wIDgJ8HVY7VWm/O2zcGeAEwAy9prb+7V4ES1v/O05FJ9HA6Q8CKUfh/Eod2KsYr36yjhYOZ5v0H4HD6GtxM+d2twFlb3Vngv4RRcZ3J7ONIzrl4hkRFMWV4d+zDorCkpPzJEcUDw2DE6O1O303bmN+jPYYLSZwd4sOBFyezMc2Vz/29MHlU4eYsI1cOlivwW9OVyYTBswoAo77ZQHlTCp3XjMLn5Xv/w2D08QSlyJ6dzRe+yxh85hmyH7tYoPVZq/yGdVPgNrDwN2F9W2v9yW/eWx1YBgQBFYHvAT+t9V8uxCdh/c8YS5bAvNqJtf5rqDd/JF4rrpPm7kzF/8SywON7Go0dTuk1x/8wdK9v9OPLmgvoun8gFWfbYh91iawFBm4tdKPM2hMyKZOVSe4RTErXFEosd6LE4Suce7och4dPo31UB4w9ckivXZnzT5owO1jwG1o4S4SlPt2QemMO0tg5ms8vNOFGhgMubWPu2c7cvB5xAyxsbjSDEbHPAmDsmor5xo1CqdMa5Ot2c631LuD63zxWR2C51jpTa30WiCU3uEUBMfp4EvV2Nb6rtpEa3w3Fa8kVkquVJL65ifBjvvh9PQSXRfuwpKRwo28IZ8eFcPmlUAz29pwdF8I3db6gx+H+uC52wPZaOjHDqxAbVQGXRfskqK2Q89I95BwrweUguB7oisfi8/htGsy3VTcR+R8P7BJvUz5Mo8yKC28VzvC5Yqv3smthIG9sf5aLKU5srv0lZ8eFYHB0/Mt2xh8O4rbYhie/GU10XHm+q7aRqLf8Mfp5F0qd1i4/46yHK6WOKqXmK6Vc8rZVAu6ezSU+b5vIr6BaZLYN5NwzFTj57DSGJgRTbXQ02a7FSWipsdhbqPrycdw36jtf9Nh0v8zcZ+dgbHWVWx0DiO47i/FJTSj3kS3FY28R/0RJyte9lHvFJauQWy33d8Iw5Cgut8wm06cs/iOOMig+hKOdp3C2mwvOJ6/jvSqLqq1iyGwbWCgrvpSbGobf4H1UmGDD+KQmRPedxa0OtclsG5jb7fEn7Dbvx2/wPqqOimJoQjDHuk3lXNdyuXUG1SrwOq3Zvw3rWYA3EABcBD79px+glBqolIpQSkVkI0N4/oqxTGlsPrrK2tlTWDXoE75Jc8kd3WFnh9snpykWZ8Lv1cOYA3z5dMYMlMmEsUxp0rNs6Pfdi5SY5kzYpNlEZqUR+aQLpsjzRI4oganRdRme95DwfDOckvvtCJoYgaFkCeKC0lmc7M3B/lOIHF0Sm6NxZD5rZNaMKZg8KhfK5E8A7DlK5JMuRGal8fmEiXw3dyYxA8tjLFcWY5nSf9rMkpLC6cAMvkkrw6qBn7B29hQcPk76yzaPmr81GkQp5QFs/LnP+s/25X25iNZ6fN6+74B3tdZ/+e2G9Fn/tZdiT9HWMQPPjQPwG7j/zvbZ53bzwoBR2GyJ4NqLIYx5fQlz/bwAeCH6LB991IPSn4WT/UQDPp83mcHuuUt0+e63Y+uWegW64oh4MKjAWixbM4fuVRqB1jjsLMc63+/od74JicG532F8eX43vZ8fgWHnoUKv5+fRSgDrUoszy9fnb7WLnh3E2Q5z+TbNjkk+1QqzxAdKgU+RqpSqcNfLzsDPI+PXA92VUnZKKU/AFyicbzUeAcrGlslxYbR2SKPe/4ZQdVTu6i1GV1dmn9vN8Oa9sPn+ENGzg9Adr/F5UF2UycTEuHA+69OJMgsOED8mFM/3TzEsoD0Ao2MjOTI+AK//Ff4Pqrj/9IGT9Ap5hplxP2LyqEJmuzS8vhrM7MrbGRh9BoAX6nagxsRjJL5a+LeARzYvTptaj1P3/4bS3jGZyXFhf2ul9qovH6dNrceZ/GxXZp/bzexzuzHUeXRC+4/cM6yVUsuAcMBfKRWvlHoB+EgpdUwpdRRoDowG0FqfAFYCJ4FvgWH3Ggki/pjRz5s6+7KoZutI6JhhlF9zGktaGrpRAOU2ZPDCgFHkxF3g/Irq2Fw3UvYtE6qUC1X3wvDBL2E8EkPUlADS3HOIH+UFZjO1DyrGvdoHpx+isWRk3LsIYX0sZnISEhkwYBTFFqeS0agqVaddpt70kTzleJXaBxU6I5OTI2pw2z+bmCmFN5cIgDk5GfO161Rcc5qQscOoZutInX1Z1D6ouP3Mn088ZUlLw3ztOhyPpf+g0ZQz2vLY4ghqH1ScnRBSqDU/qOSmmAeQ+bF6JA7P4kjIAmp9NgKvyZFceKEat6tlQZYBx/Mm3MaHET0rCJsbRty/y8Cw8xDGGv6s3bKYju4hxE5ogDIrKoSbKR51g8hXSmAfb4vHhIMS1I+IxNdDSXU3UzZMUWpfEjEDyhHTaxZe3/en6vs3SK5TlssNDaDB643C7xIzli7F2RFVAVjWZxJj4zqTtNj9b80XcuGtULQRunXeSXFjBp+tewKP/z583XiyUowVsTSpy+meRrYEzabJkWdxfzecG639adMzjPcarUNZFJUnHuB6/xBcq9zAe+UtMGuu9w/hfPtfvowZ12EZOSXM2F3NQtvZ4FwmlSrvhklQP0IqfhSGIV1xJRBSq5bB98Momh7rTGSLOZzpXR6nqFtU/NGMrU8y1/sV/tWq+dp1qrwbRpV3w3j6p8GMqryVsr3Okdbl3lO7Vv5fbruVa5uRabFhXLclXO8fwvX+IXemV3jYyZX1A8Tk5cGFiQ5srjePtxKfIjE4BWN1P17fsAp7lc3zXw3H570jmOv4MmjB2tw+6lIunP2oONuCZhOWUZEMbcOiGp70PxmDh81Vnls74m/dVSYeXhf+E0q5xxJwGG6DOSqWDiev0cs5mgZLX8Zv6nl0ieJ0X72NJdUq39dpBmIW1uPj4FUsudSQjCGlADBHxt5zGGnSsFD+O3IxNiqHDsXSaNmjP7ZXUiHputUv3Ctzgzzgfh5GFXIgjbFljhEU0ZOyHU9hKFaM5VHfY69MNB3zEiUX7SGjbSBTpk3jDc+GKJOJOvtzGFf2II2OdLuzLp8ymRhwMprxH/Wk9GcP36+K4p9L7xjER5Nm8a5fQ3RODsFHsnm7zDECDzyHa6dfAlKZTGiz+b6Gds7j9dm8aDZ2yoa2QW0xX7r8t2owOjuzNnIbAHbKBp+lg/F+fb9V3zMgYf0AM5Uvx1cRGwBwNNhSfeZQKo/bi6GWHws2fkYf3xZoswWdk825d0No9tQhzoVmo3NymBgXTg1bB6rOG4r7e3vBYkaZTCw+u5MyxmI0eHuIhLXIpRQm98p8tXsVXau3xJKWxumFNTnVbD6zb7mzvnpuF9qQmFgmvNuLEkvu729jxnJl2XxoC5k6G7PW1P1y5N/qk/55ZEmFH+2YW3kHHaPbY26eWNjlFhoJ6wdUdsv6vDRrBZ2K3eaJrn0w3s5EJV7h2lN+BIw4zPn+7liOn8J7vz1NnaMY88MzVPvkCty4Re+wQzxT/BrBbw3DdX005qvXMPp60XfTNroVv0XTIQMpvjNKVngRvzAYMdT0pd3yn1jf9zFMidc586I7+1+cyNIUL1ZXL4exqg+XPjRw+0QpPMfcx3/olcJQyx+AugtO0t1lHyczK7A72Y+YwHvfNGfy8uDUey6EPzad7WlumDGwuI6v1X1HI2H9ALreLwT/AZGMc9tI5w9ew/Xz/URNq4drlRtcSSxJuR1GSq6I4MpaL74J+IKGm0bjsyQbY1oWaePS2FVrLXU+GorbijPkXLxE1pMNsHvjIhv819Pw/4ZTftlJCWrxh669EEJyyzRc1zpQ4tg1znZz5fjA6TQ60o3SL9zmdv0qJDQzYrHV+I68/993pHVpSJqrgesBZva2m0TbI/0o3enMPee91qF1uFbLkcySiuMjZ9LoaBdKjABzzJn7VHn+/VVYF9I9p+Kv3Hw+hJK94ulX7keabX4ZvznhxL8RyvRW81l1NZAD21wptSWGs2ODOF5vOrX3DMR3URbapIga7MjhGp/h9f0w/OceJictjYz2QVzqlcG33ivw3zoS3zn7MFtxv50oXKU/DyfZN4TLgQCl8Zp/Hj/fFzj9+Bf4jh6C74LrlHMoybWaBT+HyN/huGYvjkDp0Do0LzuQo8GLqPmf4agcqPLtLfSBE3/YToUdoUxY7vQMXjX6E9liDtVGDMf+cnlKnTJTbPXe+3siBUyurO8z3SgAn8mn6F56Dy/u641Xr5PkNKnN0oXTWJPix7zJHSi//gzXm3vyxJs/AhDR0RuLsyOnRhbnx1aT74wUAVANanLlnSwW1/qSUae7QYv4ojw9YUXOTAjB4paB9wwLhohI6u3LYKzrPgLnvYzn0ksPxBWpyb0yDdbn1jGq1H6Clr2C7xdXMUfeYwpWpagWYaSEKZ2nSxxgdGw3TGNLwL5j96Hqf0+6QR4QxpIlePPgTqrbpNJw1Sv4vLIfo68nm39YRXzObfo9PwLT3kguvViP7oO2sr1Wsdx2zs5Y1jmxym81L55rw41G1+98Xr0d13mtzD6aRvSnfKfIojw9YYWuDgqh+4gt/NDYDfPNW3SLvEQv5wtU/WYIVUdGYklNLeoS72h2NJ1RpY5RL+wFvAaeB/hbXX1nlgawr8lMFidX45tGHrntbiU/kKshSVg/AAz29qw//RM2ykjwa4MpsWQP6R2D2DVrLgBtqjfDfPMWsYvqUsollVLtou+0/auJnDxtilNt9lCqvF+wq1mLR4eqW4NVGz7n6SqNcoe9bXPju2obGZoQ/Lu1O4ta0tdVORS4HICLObfpW6Xx32p38ZVQjr4y887rtiHtyTl34S9aFA0J6yJmCKjOmDVL+bBpW9Aa89VrnBtTH//mp8nukdsvmJOQiGtYSQ5+Ux2P6ZGYb9xA2djyfvRP1LU1EDhhBBUXHMecnIyxTGnG7d9MLVsbmo4eivOmYw/UFZCwMgYjpiqVeP+HVbzdohv6VjJR//Xj2DNTWZtagYX+lYu6wjuMLi4oRwdSAt3YNXMuR7MyGBPSiZyLl/6yncHREYNLSbSDHZt3reVEVjrZ2kC35aPu76iXe5DbzYvQ7W7BJE/I4K2RA8mJT+Dm5/ZU2GlLZikzqW9XRGdkUHZ1ChX3OHFyUTU8ll3EfOMGRl8vKv1oS5CdDcHvDafSmjjMycnokDp4fJNKgJ0djV8bSolt0RLUIn8sZnLOXWD06OFkzTOTFuSN/+yrNJg9is7FLlJxjxMGJ6eirhIA840b5CQkUnxHFKEvD6a2rT2e629QcY8Tl0f8+SyClrQ0chISMZ85T9OhAxkyaiSrbjXgo66LiJ4XeB/P4N+T0SCF5MJboWSUNaPMYL+zPJW/2Uf01IbsqP4pbQ8MpNIPYHM1jcgJ3myuMg/vlYOp+m0iOWfPoRsFEDVE8XXlr/BZMhy/1VEkPleVW/6Vcah4m6Xlt+G7+FV81hzCbGXjSMUDSmsc1u3jQq1QMp+0UG5PGTxWXqZmuRGceXoOnh8PpNonVzDHPhiLVZhv3sJ59UF86w0B4INOS6En7PRriCnVgOebf3K1bDHjsC531uZNlZoQ28OVT5qt4M0JPfH6szYPCOkGKQS3uwXz8v8t5UJ2KWatewrvj09yrX11wibMoN/5x4h/yxe7pFTOdHPhQN9J9Djdiew2KblXyMG1ie5tT1i7ifSLfRbd8hLpHepT762DNHGKZtHFEK6kF6N466L/pl48nGInB6ONGveNZhz2ncZ2nS0rfDZSd/ZIPFZdufdIjCIQPTuIOtXOUbNEIs+V3MeAN0fjtPLet54nDQvlqRd307dUOH3feOVvtSlM0g1yvyiFydOdrz/9FG+bKyyY1QavcUdJbezP3g9n8VOmgWvPlcTheDxRg0pwoO8kFid7k9nsEpbUVEyVKnLhVQv7209ifFJz9OMJmKpU4p1PP2dQ6V28vrEH6c0uS1CLQuUzag/2l4w4jY1HORcnvdllVt0uT8SgycT0K4PJ0x1TZbeiLvNX/AbvI73ZZXa+H0qqNvHjpzMxVvXG5On+l104ZWeEseuDEDxN9kwYNxtjVe+/tThCUZAr6wJkquzGpr0bMWsLT3Xrj/rpMJdfCuXwmzO5ZUmnW+XcPjXj9gps9t/8q6WWUIrgw1m853qC+ge6UaZ9NMrOjg1nwjCgCBk7DJcFD/avaeLhktk2kKkzpvGaZwhoTf1DFv5X9jAAy2+7srBqlQdy+JvJ0531u9cCYFQG6nw8lPKT/ny0VGrXhkz8eDpveQbmLnnWYziGn44UybnJlfV9kNa5IUvDvwKgfb3WqLAjxC6uS9jrk3/1voFRp/nabwOe6wdysVnWne0fnw3n7TLHqDZ7KK5d4n7Vpl2bnrgsktXRxP1ltzmCMY91Y/n5nzC6uHAw2IF2vo1p59uYRT2f4vNzPxbewrv5kHP23J06596qSPgrkzm9NOBvte1f9QlCZ+xn+fmfOLfywVpdXcK6gGgDxOfAk52ex5x0hczv3NnYeAYdo57myS696dp9CE8dv8FTjlcJmD6C6uMvojMzMbq60u7EDWrY2NLw3WF4zT2Nzs7CWM2X9ocSsVFGVEa2VU/7KKyU1uScT6D7M4Mx30rm5trKtNmfwKkpNeBYDP27D+OJw9cxeXkUdaW/Y0lLw5KWxtruzWgb+QwbQmfS7sQNQo9k/ep98WNCeX38ol+12/d8Lbo/Mxivsbfvd9l/SbpB8inufyEYq6Xg53qFL7zW0mjvQAC+ajCPZyIG4LrAkeLHL3Pu0+IcD15C1XlD8VpyGXP0aVT9Glx+28yhwOXUmDYUj4Vx5CQkkv1EAzJfvs72WisInDgSt89PyKRMosjd7B2C56AonnGN4NXt3fEbsp9LI0NIDUzH4zOF8YeDRV3iH8poF8RNXxOpFTUnekylbng/ACp/YsBiYySpgQNmWzA3SMG9VzQ6896z/BUWuSmmkFwZEkLv4d+QZrZjcfTvx2qWWexIsTPJxPZw4eTz06kT3gePYUmYLydhaRxAbA9bDneYQnD4QDz65C6Im9U6kAvP57C18TSeDB+K53PHHsh+QfFouTwilEpr4kjs7EGtnscZXn4bA6aMpPyUcKJnN8D2iolKO7Kw+f5AUZf6p4y+XsSNdwRgV8M5BG4ehfcyM8YdB3PXh5xdCdNeJwx5v8SWjM3BfsP97X6UsC5oSkFgTT5c8Rnnc1x4c0FfKv/fr7/AMNSuisXRlvjmxRncaxMpZnt21nFEBVRH2xmJHmBLWKvJjE9qTlSD7Nw2NauSNN7CytrzGR3Xlcxmf31XlhD3S/1DFrZNbESZrbmTjA15ZxXPOl2k/TMvYjhwiqjZNSHTSLVptzCfiCrqcu/JY58Db5XfSrNdI/CZbkZlm9EHThB6JItSplRaFotkeGx3TP8tiTJr9P77MwFUvsJaKTUfaAckaa1r5m1bAfjnvaUkcFNrHaCU8gAigZ//b+3RWg++V4FWE9YGIwZ7O1SxYmw+spVblnTajB6F09oDKFtbsFiwZGRgcHSk1b5LDC55ivrhL1Dlmdz/0QZHR944tocGdmlkawtDzre7MymTwdGR4PCbvFb6MMERfaggkzKJB4x/hA1b1wfiPj4C5e/F0m/m42J0pHXbnugjpzj/34Y0b3+Qs80MWNLSirrcezL+UJElPquwUQaisg38t8ZjAFjS0zm9OID9TWdgUAqA7tWewJKSUug15TesmwK3gYU/h/Vv9n8K3NJav58X1hv/6H1/xVrC+tLoUA6+Oh3IHRLUtlFHcs6e4/QnwUQ9N5MDWWbe8gzk8/O7cTMVp+aUoVT6MPeK22Bvz7rTP2KnbAh+fTAlluTNrZv333/e+d1UMRWnxvShuI2TSZnEA0gpYr6oR+kyKZRqlzu09OszuzFhJPitYZSaH05W60Bmzp7CKI8/v/X7gZEXxLe7BvHTlDmYtQXgzrBblEI1qMm3Xy/CrC10aNKFnDNxhVpSvobuaa13Adf/aJ9SSgHdgGX5qtAKRH/egK9GfcyXyRXp0KQLbRt3IudcPFc3+LG92yeMSAzlveZPA2CrFI1HDKLyzLwr6jrVGHNyD3bKhlbP9cNlzdHckNYaY7myjDl9lEpGR0JHD8Z9+vGiPE0h/pzWVH01jqytZah2wITOzKRL465sTXfgy7cnEjspGLsfjjK68wDGnD6KsXSpoq74r+X9DDpvOELbxp3o0KQLNyzpjF88l6Rhobn7D0XSpmU3AN76fjWpTzcssnLzO3SvCXBZa333/aeeSqn/b+/sw6qq8j3++XEOCiioCCIJIghiWpIvKYoZptOMjjec7p10zAxGhlIizbTRrKbuM90p72Slhm9jii+gzTiZ6a07aVJT3aMSCmLKq6jwqPmSgJq8HNb94xwJHfBd9znH9Xme8+x91t7s8/vy2/v77LX22mvtEpEvROSBGzy+Q1Ccfh+LH0zjxUNxrJzxCHUlpdSVlHJ8QzhL7llN3K5E9s++B3XmLO6Zgfzb7On4ZBZSX1XFuUcHELTkEP1a1BA942nMO/MbqohqUBSt11uJ9awn+uVk2m4txFpZabBajaZ5rCdOErSxnC+X3g9bg6g7WMbrM+JZeDyWOb9MJz/1XsgrZNbLSfy41hvpd02VbEOoP3++4Zp+ZPrzlNb68cSkT3HPDKRkVU+s+4sZPH0yz72UzNFHa3DPDKRgUf/bHueNmvVvuPiu+gjQWSnVG5gGpIuIT1N/KCJJIpIlIlm1GNdV5kqUvj6Q1dHLmHvoYUrTIvDYtAMxmyl5YyAb7ltGUt54Wq1qg0dZJYUzuvFdXmfarcvGevIUleOiqU08SUrAVu5Z/yxt1lgajLp6xP2UpkBqyEbCPnwKv/RdWE+cNFitRnNl6g4cJHBDCYX7O1HyX/3x/mcRX6f15a/H+7HgwdWUvtwXn3QLh3MDKRrjTe3DTdbqHRLvdRZeWj2eBV/8jGqrmYzopRz4Y398Miz4pFtotdMTf48zvPnQOg69enubeq6qN0hTbdEiYgbKgb5KqSbnkhKRTGC6Uirrcsd3xDZradmScyOi+HjBu/z3if5snRODT7oFk48PlT+7m8gZtnngDrwUiUd5JeW/8KfDqMO4DbMNaF73UF/Ms4/xWuhHJOWOv+iBoRoURWkKbBqUyrPFj6EeKjdEo0ZzI4jZTId/erF/UU/8txzk6KgQfpW8jfi2WYxLmYbX5myK0u7F7bAHoRvOgiXX6JCviaqx0cT+/hte9N/ByGeeBQXe2w9S/uuu9H08l5PVrTg1NwTPj7+9aS+t3arXzYcD+xsbtYj4i4jJvh4GRABONeqQm7c35sCO0KsbX6YuoawOshKj8Em34ObhwbnBkWx4Zy5l0Wc4EueF595yChLb4zuyvMGozR0DGD1/Cysi1jLeMvEiozYFdMDnzXK+GayNWuPcqLo6jg2sZPTzn3PkkRACMvaybWoMFfUmvly4BLfIroQ/uYe6VvWceuk8poAORod8TXivtbAr4R5K6mDBO/PYlrqIo3FhBK7YQ1n0GWrHwIJ352HqGoI5sCNuXl63NJ6r6Q2SAcQCfsAx4A9KqWUisgJb17xFjfb9d+A/jSV6dQAACGxJREFUgVqg3r7vx1cKwpHurAvnDaDkPxYDYFX1jOr2QMPg/kemDSJ3eionrGd5PDiGV0qyifFwo+sHTxM+1dJwjFWHv6aDqRX3vjOZu+Zc3LPjheI9DPO0EvbhU0QkO/dsyxrNBc5+GkZ5mS/dErMw+fvzPzmfATA0IZEW/5vFqYSBzH5xFQsjwg2O9PqZVZxLrGf9v1y7F3p/9Zw/maA/3VhPLv1SzFXinhnI2vAPSTw4kspf2qo1F17zLl7Tm51D3iO9KpLNg8Kwnq7glZJsnnstGd+12ajqasyd7mLx/31AkLk1QxMSafl5LqrWNhaBm4cHqflb6Gz2YsAryfiv2UW9njhA4yK4eXlRMiuKAcP3cmxgJaa2bZifsxlvNyF28Qw6v7ED7uvOe+sXkRz+UMN14UyYfHzw2tyCFaGbOF1fR06NH/PCu2Nq2waA/PlhfPHgfNZU9G6Y7Ppa0aPuXQY3Ly+ic2qJzqklNeyvRGVOoiK5I9bTFVhPV3D3t2aic2r526BFPFYwho3xsajz1dy/28rM5yfhtykfVV1N7fC+DPm0kCBza2ITf4fHV/saTkhTj25Eb68k1L01Dzw/mQ4fFWij1rgU9efOEf6XMr57vydBltZYT1fw9PgUVlfcy9z4ZeSn9kbyikj67RSidtQQnVPLmceijQ77mrBWVnI2pQOjn5jMiAUvMNyziuicWlRtHdbTFUT+sYqhGTNIapvT4CnmLp1v2u/f0XfWpogwCl7zoSh2Bd3SJmE+IwRaqjFv/RaTX3v2zw1h37DF3P33Z/A4asJ3v5U2u46x7w++eBR4EDJvD/VVVVSOi8Yj4QirItfw8OIX6Dwnq8Goa4f35YeUs1j6raL3wil0WaAHZdK4LuYunSmZEER1+HkiJ+VzfFwvuifs4xG/Xcz85DdETN1O2cyBrEl6m4lvTMVvsXOO0W4KD6Xotx0piF9IeGY89XVuBH9gxrP8LIdGtkGZIO+pBfSyPEGnt8zINzlXdVzdDNIEbr26UzKmHbnx83hg9zj8JpzEetL27o+5S2cOjgkib0oqMbmP0iYFrIUlmHpGUjLGl68S/szjwTEA/BjXn5qnTvFO93VM2JFA6NifnnjXDevLgQmKrbHzeHR3Ih1G5+tBmTQuj8nHhxMZAdR+4s9d60soeyyMmPHZTPT7kqQ/TcFvqYXC5X1ocagFQZ9XY8p0zNH6roSpXTtOrPYDIK1nGnGWp/He1gr3M4q267I4uSGMzVHLGbD5OcJX1+D21e4rHlOb9SWYg4MoSAkma9xcVlZ0Z1PPdj9t6xhA2diu7JjxLn8705HVURHUnz+POTiIwknBZE94m7TKCDb2aI+pRzc6LS9nWsBnjN09kY6XjOdxICOKLTHvMf1QHBWDdR9qzZ3Fg7k/svHNofj+o5iKoV35/esr+blXBXFdYlC1NfywOYITx32IiHfckfqumq1BJAR9TRf3ExTUBLCmu23as647PRjik8+sz3/N3W9decJh3WZ9CYfne1M4fiGLfuh1kVED7HuxCzkvpLK92p2VkcENbcsH3m5LQfxC/lLRnY092gMwe9NalgZ/zagN0/7FqC8wKvt32qg1dyRf9PIkZtoOSp6JoPUHFhbFjTI6pFvHsDKWR4Yw6c8pFxUX33+e5ZEhtDhlokvGkRv6CYe4sxaR48BZ4ITRsdwm/NBaXRGt1TW5nVpDlFL+TW1wCLMGEJGs5m7/XQ2t1TXRWl0TR9F6RzaDaDQajbOhzVqj0WicAEcy6yVGB3Ab0VpdE63VNXEIrQ7TZq3RaDSa5nGkO2uNRqPRNIPhZi0ivxCRfBEpEpGZRsdzKxCRUhHZIyK7RSTLXuYrIp+JSKF92e5Kx3FEROR9EfleRPIalTWpTWzMs+c6V0T6GBf5tdOM1ldFpNye290iMrLRtll2rfki8nNjor4+RCRYRLaJyHcisldEptjLXS63l9HqWLlVShn2AUxAMRAGtABygB5GxnSLdJYCfpeUzQFm2tdnAm8aHed1ahsC9AHyrqQNGAl8AggQDWw3Ov6boPVVbBNsXLpvD/v53BIItZ/nJqM1XIPWQKCPfd0bKLBrcrncXkarQ+XW6Dvr/kCRUqpEKVUDrAXiDI7pdhEHpNnX04DRBsZy3aimJ1RuTlscsFLZsABtRSTw9kR64zSjtTnigLVKqWql1AGgCNv57hQopY4opbLt61XAPqATLpjby2htDkNya7RZdwION/pexuX/Sc6KAv4hIt+KSJK9LEApdeH906NAgDGh3RKa0+aq+X7GXvV/v1FzlstotU/r1xvYjovn9hKt4EC5Ndqs7xQGK6X6ACOAZBEZ0nijstWtXLJbjitrs7MQ6Arch23C6LeMDefmIiKtgfXAVKVUZeNtrpbbJrQ6VG6NNutyILjR9yB7mUuhlCq3L78HPsRWZTp2oZpoX35vXIQ3nea0uVy+lVLHlFJWpVQ9sJSfqsNOr1VE3LGZ1xql1N/txS6Z26a0OlpujTbrnUCEiISKSAtgLLDR4JhuKiLSSkS8L6wDDwN52HQ+ad/tSeAjYyK8JTSnbSMwwd5zIBqoaFSldkouaZf9Fbbcgk3rWBFpKSKh2CaP3nG747teRESAZcA+pdTcRptcLrfNaXW43DrAk9iR2J6+FgOzjY7nFugLw/bkOAfYe0Ej0B7YChQCWwBfo2O9Tn0Z2KqItdja7iY2pw1bT4H37LneA/QzOv6boHWVXUsutos4sNH+s+1a84ERRsd/jVoHY2viyAV22z8jXTG3l9HqULnVbzBqNBqNE2B0M4hGo9ForgJt1hqNRuMEaLPWaDQaJ0CbtUaj0TgB2qw1Go3GCdBmrdFoNE6ANmuNRqNxArRZazQajRPw/0nS1lTOMBNdAAAAAElFTkSuQmCC\n", 93 | "text/plain": [ 94 | "
" 95 | ] 96 | }, 97 | "metadata": { 98 | "needs_background": "light" 99 | } 100 | } 101 | ] 102 | }, 103 | { 104 | "cell_type": "markdown", 105 | "metadata": { 106 | "id": "QZ4tmy3j4Cf0" 107 | }, 108 | "source": [ 109 | "\n", 110 | "# Edge detection\n", 111 | "Different edge detection is applied\n", 112 | "\n", 113 | "1. Laplacian edge detection\n", 114 | "2. Sobel method\n", 115 | "3. Canny edge detection" 116 | ] 117 | }, 118 | { 119 | "cell_type": "code", 120 | "metadata": { 121 | "id": "W8vLHZPE2csR" 122 | }, 123 | "source": [ 124 | "import cv2\n", 125 | "import numpy as np\n", 126 | "from matplotlib import pyplot as plt" 127 | ], 128 | "execution_count": 19, 129 | "outputs": [] 130 | }, 131 | { 132 | "cell_type": "code", 133 | "metadata": { 134 | "id": "_EDspwV63KWH" 135 | }, 136 | "source": [ 137 | "# read the image\n", 138 | "img1 = cv2.imread('lane.jpeg',0)" 139 | ], 140 | "execution_count": 32, 141 | "outputs": [] 142 | }, 143 | { 144 | "cell_type": "code", 145 | "metadata": { 146 | "colab": { 147 | "base_uri": "https://localhost:8080/", 148 | "height": 149 149 | }, 150 | "id": "Q6z_KogQ3T_O", 151 | "outputId": "b2409e2d-a21e-4226-8034-12e7fa9308de" 152 | }, 153 | "source": [ 154 | "# remove noise\n", 155 | "img = cv2.GaussianBlur(img1,(3,3),0)\n", 156 | "\n", 157 | "\n", 158 | "# convolute with proper kernels\n", 159 | "laplacian = cv2.Laplacian(img,cv2.CV_64F)\n", 160 | "\n", 161 | "\n", 162 | "plt.subplot(2,2,1),plt.imshow(img,cmap = 'gray')\n", 163 | "plt.title('Original'), plt.xticks([]), plt.yticks([])\n", 164 | "plt.subplot(2,2,2),plt.imshow(laplacian,cmap = 'gray')\n", 165 | "plt.title('Laplacian'), plt.xticks([]), plt.yticks([])\n", 166 | "\n", 167 | "plt.show()" 168 | ], 169 | "execution_count": 33, 170 | "outputs": [ 171 | { 172 | "output_type": "display_data", 173 | "data": { 174 | "image/png": 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\n", 175 | "text/plain": [ 176 | "
" 177 | ] 178 | }, 179 | "metadata": {} 180 | } 181 | ] 182 | }, 183 | { 184 | "cell_type": "code", 185 | "metadata": { 186 | "id": "p6e5LJ4R3YvQ" 187 | }, 188 | "source": [ 189 | "# Create a custom kernel\n", 190 | "\n", 191 | "# 3x3 array for edge detection\n", 192 | "sobel_y = np.array([[ -1, -2, -1], \n", 193 | " [ 0, 0, 0], \n", 194 | " [ 1, 2, 1]])\n", 195 | "\n", 196 | "## TODO: Create and apply a Sobel x operator\n", 197 | "sobel_x = np.array([[-1,0,1],\n", 198 | " [ -2, 0 , 2],\n", 199 | " [ -1,0,1]])" 200 | ], 201 | "execution_count": 34, 202 | "outputs": [] 203 | }, 204 | { 205 | "cell_type": "code", 206 | "metadata": { 207 | "colab": { 208 | "base_uri": "https://localhost:8080/", 209 | "height": 268 210 | }, 211 | "id": "qh7Xow5h3dCM", 212 | "outputId": "3f1a0359-1618-4412-84fd-7722c16c33b5" 213 | }, 214 | "source": [ 215 | "# Filter the image using filter2D, which has inputs: (grayscale image, bit-depth, kernel) \n", 216 | "filtered_image_y = cv2.filter2D(img1, -1, sobel_y)\n", 217 | "filtered_image_x = cv2.filter2D(img1, -1, sobel_x)\n", 218 | "\n", 219 | "plt.subplot(2,2,1),plt.imshow(img1,cmap = 'gray')\n", 220 | "plt.title('Gray scale'), plt.xticks([]), plt.yticks([])\n", 221 | "plt.subplot(2,2,2),plt.imshow(filtered_image_x,cmap = 'gray')\n", 222 | "plt.title('Sobel X'), plt.xticks([]), plt.yticks([])\n", 223 | "plt.subplot(2,2,3),plt.imshow(filtered_image_y,cmap = 'gray')\n", 224 | "plt.title('Sobel Y'), plt.xticks([]), plt.yticks([])\n", 225 | "plt.show()" 226 | ], 227 | "execution_count": 35, 228 | "outputs": [ 229 | { 230 | "output_type": "display_data", 231 | "data": { 232 | "image/png": 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\n", 233 | "text/plain": [ 234 | "
" 235 | ] 236 | }, 237 | "metadata": {} 238 | } 239 | ] 240 | }, 241 | { 242 | "cell_type": "code", 243 | "metadata": { 244 | "colab": { 245 | "base_uri": "https://localhost:8080/", 246 | "height": 153 247 | }, 248 | "id": "fv75Lbr73fGu", 249 | "outputId": "e5801dc5-fadd-44da-f8b6-ab9d1193d584" 250 | }, 251 | "source": [ 252 | "# canny edge detection\n", 253 | "\n", 254 | "edges = cv2.Canny(img,250,250)\n", 255 | "\n", 256 | "plt.subplot(121),plt.imshow(img,cmap = 'gray')\n", 257 | "plt.title('Original Image'), plt.xticks([]), plt.yticks([]);\n", 258 | "plt.subplot(122),plt.imshow(edges,cmap = 'gray')\n", 259 | "plt.title('Edge Image'), plt.xticks([]), plt.yticks([]);" 260 | ], 261 | "execution_count": 36, 262 | "outputs": [ 263 | { 264 | "output_type": "display_data", 265 | "data": { 266 | "image/png": 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\n", 267 | "text/plain": [ 268 | "
" 269 | ] 270 | }, 271 | "metadata": {} 272 | } 273 | ] 274 | }, 275 | { 276 | "cell_type": "code", 277 | "metadata": { 278 | "id": "lv4OMuNA3h6L" 279 | }, 280 | "source": [ 281 | "" 282 | ], 283 | "execution_count": null, 284 | "outputs": [] 285 | } 286 | ] 287 | } --------------------------------------------------------------------------------