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{
"cells": [
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Detect circles"
]
},
{
"cell_type": "code",
"execution_count": 153,
"metadata": {},
"outputs": [],
"source": [
"import cv2\n",
"from matplotlib import pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"\n",
"cap = cv2.VideoCapture(0)\n",
"window_name='camera'\n",
"\n",
"cv2.namedWindow(window_name,cv2.WND_PROP_FULLSCREEN)\n",
"cv2.setWindowProperty(window_name,cv2.WND_PROP_FULLSCREEN,cv2.WINDOW_FULLSCREEN)\n",
"\n",
"while (True):\n",
" ret, frame = cap.read()\n",
"# frame = cv2.Canny(frame, 100,100)\n",
" img = cv2.medianBlur(frame,5)\n",
" img = cv2.cvtColor(img,cv2.COLOR_BGR2GRAY)\n",
"# cimg = cv2.cvtColor(img,cv2.COLOR_GRAY2)\n",
"\n",
" circles = cv2.HoughCircles(img,cv2.HOUGH_GRADIENT,1,20,\n",
" param1=50,param2=30,minRadius=0,maxRadius=0)\n",
" if circles is not None:\n",
" circles = np.uint16(np.around(circles))\n",
" for i in circles[0,:]:\n",
" # draw the outer circle\n",
" cv2.circle(img,(i[0],i[1]),i[2],(0,255,0),2)\n",
" # draw the center of the circle\n",
" cv2.circle(img,(i[0],i[1]),2,(0,0,255),3)\n",
"\n",
" cv2.imshow(window_name,img)\n",
"# out.write(frame)\n",
" if cv2.waitKey(1) & 0xFF == ord('q'): # btw, you need to click the screen first. And then \n",
" # press q to quit\n",
" break\n",
" \n",
"cap.release()\n",
"# out.release()\n",
"cv2.destroyAllWindows()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Detect lines"
]
},
{
"cell_type": "code",
"execution_count": 156,
"metadata": {},
"outputs": [],
"source": [
"import cv2\n",
"from matplotlib import pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"\n",
"cap = cv2.VideoCapture(0)\n",
"window_name='camera'\n",
"\n",
"cv2.namedWindow(window_name,cv2.WND_PROP_FULLSCREEN)\n",
"cv2.setWindowProperty(window_name,cv2.WND_PROP_FULLSCREEN,cv2.WINDOW_FULLSCREEN)\n",
"\n",
"while (True):\n",
" ret, frame = cap.read()\n",
" edges = cv2.Canny(frame, 100,100)\n",
"# img = cv2.cvtColor(img,cv2.COLOR_BGR2GRAY)\n",
"# cimg = cv2.cvtColor(img,cv2.COLOR_GRAY2)\n",
"\n",
" lines = cv2.HoughLinesP(edges,1,np.pi/180,threshold=30,minLineLength=50,maxLineGap=30)\n",
" if lines is not None:\n",
" lines = np.uint16(np.around(lines))\n",
" for i in lines[0,:]:\n",
" # draw the outer circle\n",
" cv2.line(frame,(i[0],i[1]),(i[2],i[3]),(0,255,0),2)\n",
" # draw the center of the circle\n",
"\n",
" cv2.imshow(window_name,frame)\n",
"# out.write(frame)\n",
" if cv2.waitKey(1) & 0xFF == ord('q'): # btw, you need to click the screen first. And then \n",
" # press q to quit\n",
" break\n",
" \n",
"cap.release()\n",
"# out.release()\n",
"cv2.destroyAllWindows()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# hough circle explain"
]
},
{
"cell_type": "code",
"execution_count": 152,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f4a97a65710>"
]
},
"execution_count": 152,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAPsAAAD7CAYAAACscuKmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAMfElEQVR4nO3dX4il9X3H8fenu65bDWZdW5Z1V+oGJUGExLBEg70QNyHWhpiLIIZQllbYmzQxaSBqe1XoRYUQ40UpLNogRaKpkSoSIulGL3LRqWuVRnezcauJ7mb9U6KxBGpd8u3FPJtOt7O7Z+acM3PG7/sFw5znzznPlx/zme/vec4zZ1JVSHr3+63VLkDSyjDsUhOGXWrCsEtNGHapCcMuNTFW2JNcl+RQksNJbptUUZImL8t9nz3JOuAnwMeBI8CTwGer6sDkypM0KevHeO5HgMNV9QJAkvuBG4BThn1Dzq6NnDvGISWdzn/xK/673s5i28YJ+zbg5QXLR4ArT94pyR5gD8BGzuHK7BrjkJJOZ672nXLb1C/QVdXeqtpZVTvP4uxpH07SKYwT9qPARQuWtw/rJM2gccL+JHBpkh1JNgA3AY9MpixJk7bsc/aqOp7kT4HHgHXA31XVcxOrTNJEjXOBjqr6LvDdCdUiaYq8g05qwrBLTRh2qQnDLjVh2KUmDLvUhGGXmjDsUhOGXWrCsEtNGHapCcMuNWHYpSYMu9SEYZeaGOvv2bV0j/38md88/sSFH1rFStSNnV1qws4+YQs792IWdvOl7CuNy84uNWFnH8NinXkp3fhM+477+tJCdnapCTv7MpzouNPusou9/kodW+8+dnapCcMuNeE0fglmYQp94tizUIvWFju71IRhl5ow7FITnrOPYBbPjz1311LZ2aUmDLvUhGGXmjDsUhOGXWrCsEtNnDHsSS5K8niSA0meS3LLsH5zku8neX74fv70y5W0XKN09uPAV6rqMuAq4PNJLgNuA/ZV1aXAvmFZ0ow64001VXUMODY8/s8kB4FtwA3ANcNu9wJPALdOpcpVshZuWPHmGo1qSXfQJbkYuAKYA7YMvwgAXgG2nOI5e4A9ABs5Z7l1ShrTyGFP8h7gO8CXquqtJL/ZVlWVpBZ7XlXtBfYCnJfNi+4zq9ZC15zl2jRbRroan+Qs5oN+X1U9NKx+NcnWYftW4LXplChpEka5Gh/gHuBgVX19waZHgN3D493Aw5MvT9KkjDKNvxr4I+BHSU58tvGfA38NfDvJzcDPgBunU6KkSRjlavwPgZxi867JliNpWryDTmrCsEtNGHapCT+WagSz+H77LNWitcHOLjVh2KUmDLvUhGGXmvAC3RLMwoU6L8xpuezsUhN29mU4ucMvtm0Spv366sXOLjVhZx/DYl12sW58qucsZV9pXHZ2qQk7+4SdqRsv7OZ2bq0kO7vUhGGXmnAav8Kcumu12NmlJgy71IRhl5ow7FIThl1qwrBLTRh2qQnDLjVh2KUmDLvUhGGXmjDsUhOGXWrCsEtNGHapCcMuNTFy2JOsS/J0kkeH5R1J5pIcTvJAkg3TK1PSuJbS2W8BDi5YvgO4s6ouAd4Abp5kYZIma6SwJ9kO/CFw97Ac4FrgwWGXe4FPT6NAvTs99vNnzvi5+ZqsUTv7N4CvAr8eli8A3qyq48PyEWDbYk9MsifJ/iT73+HtsYqVtHxn/MDJJJ8EXquqp5Jcs9QDVNVeYC/AedlcS65Qa84oHft0/y/vVPtqPKN8uuzVwKeSXA9sBM4D7gI2JVk/dPftwNHplSlpXGecxlfV7VW1vaouBm4CflBVnwMeBz4z7LYbeHhqVUoa2zifG38rcH+SvwKeBu6ZTElaa06eii9l2j3KvuO8vv7XksJeVU8ATwyPXwA+MvmSJE2D/xFGy3ai40670578+it13Hcbb5eVmrCza0lm4V9On/y2nR1+NHZ2qQnDLjVh2KUmPGfXSGbx/HixW25nqb5ZY2eXmjDsUhOGXWrCsEtNGHapCcMuNWHYpSYMu9SEN9XotGbxZpqTLaxtLdS7WuzsUhN2dp3WWvhzUm+XHY2dXWrCsEtNGHapCcMuNWHYpSYMu9SEYZeaMOxSE95Uo5HM4ue9zfKNPrPIzi41YdilJgy71ITn7FqSWfhzUs/Vl8fOLjVhZ9eyLXaFfuH6SZn263dhZ5eaMOxSEyNN45NsAu4GLgcK+BPgEPAAcDHwU+DGqnpjKlVqpp08rT552n265yxlX41n1M5+F/C9qvoA8EHgIHAbsK+qLgX2DcuSZlSq6vQ7JO8FngHeVwt2TnIIuKaqjiXZCjxRVe8/3Wudl811ZXZNoGytdb59Nh1ztY+36hdZbNsonX0H8DrwzSRPJ7k7ybnAlqo6NuzzCrBlsScn2ZNkf5L97/D2cuqXNAGjdPadwD8DV1fVXJK7gLeAL1TVpgX7vVFV55/utezs0nSN29mPAEeqam5YfhD4MPDqMH1n+P7aJIqVNB1nDHtVvQK8nOTE+fgu4ADwCLB7WLcbeHgqFUqaiFHvoPsCcF+SDcALwB8z/4vi20luBn4G3DidEiVNwkhhr6pngJ2LbPIEXFojvINOasKwS00YdqkJwy41YdilJgy71IRhl5ow7FIThl1qwrBLTRh2qQnDLjVh2KUmDLvUhGGXmjDsUhOGXWrCsEtNGHapCcMuNWHYpSYMu9SEYZeaMOxSE4ZdasKwS00YdqkJwy41YdilJgy71IRhl5ow7FIThl1qwrBLTYwU9iRfTvJckmeTfCvJxiQ7kswlOZzkgSQbpl2spOU7Y9iTbAO+COysqsuBdcBNwB3AnVV1CfAGcPM0C5U0nlGn8euB306yHjgHOAZcCzw4bL8X+PTky5M0KWcMe1UdBb4GvMR8yH8JPAW8WVXHh92OANsWe36SPUn2J9n/Dm9PpmpJSzbKNP584AZgB3AhcC5w3agHqKq9VbWzqnaexdnLLlTSeEaZxn8MeLGqXq+qd4CHgKuBTcO0HmA7cHRKNUqagFHC/hJwVZJzkgTYBRwAHgc+M+yzG3h4OiVKmoRRztnnmL8Q96/Aj4bn7AVuBf4syWHgAuCeKdYpaUypqhU72HnZXFdm14odT+pmrvbxVv0ii23zDjqpCcMuNWHYpSYMu9SEYZeaMOxSE4ZdasKwS00YdqkJwy41YdilJgy71IRhl5ow7FIThl1qwrBLTRh2qQnDLjVh2KUmDLvUhGGXmjDsUhOGXWrCsEtNGHapCcMuNWHYpSYMu9SEYZeaMOxSE4ZdasKwS00YdqkJwy41YdilJgy71IRhl5pIVa3cwZLXgV8B/7FiBx3P77B2aoW1Ve9aqhXWTr2/V1W/u9iGFQ07QJL9VbVzRQ+6TGupVlhb9a6lWmHt1bsYp/FSE4ZdamI1wr53FY65XGupVlhb9a6lWmHt1fv/rPg5u6TV4TReasKwS02sWNiTXJfkUJLDSW5bqeOOKslFSR5PciDJc0luGdZvTvL9JM8P389f7VpPSLIuydNJHh2WdySZG8b4gSQbVrvGE5JsSvJgkh8nOZjko7M6tkm+PPwMPJvkW0k2zvLYjmpFwp5kHfA3wB8AlwGfTXLZShx7CY4DX6mqy4CrgM8PNd4G7KuqS4F9w/KsuAU4uGD5DuDOqroEeAO4eVWqWtxdwPeq6gPAB5mve+bGNsk24IvAzqq6HFgH3MRsj+1oqmrqX8BHgccWLN8O3L4Sxx6j5oeBjwOHgK3Duq3AodWubahlO/MBuRZ4FAjzd3itX2zMV7nW9wIvMlwQXrB+5sYW2Aa8DGwG1g9j+4lZHdulfK3UNP7EAJ5wZFg3k5JcDFwBzAFbqurYsOkVYMsqlXWybwBfBX49LF8AvFlVx4flWRrjHcDrwDeH0467k5zLDI5tVR0Fvga8BBwDfgk8xeyO7ci8QHeSJO8BvgN8qareWrit5n+tr/p7lUk+CbxWVU+tdi0jWg98GPjbqrqC+b+P+D9T9hka2/OBG5j/BXUhcC5w3aoWNSErFfajwEULlrcP62ZKkrOYD/p9VfXQsPrVJFuH7VuB11arvgWuBj6V5KfA/cxP5e8CNiVZP+wzS2N8BDhSVXPD8oPMh38Wx/ZjwItV9XpVvQM8xPx4z+rYjmylwv4kcOlwRXMD8xc8HlmhY48kSYB7gINV9fUFmx4Bdg+PdzN/Lr+qqur2qtpeVRczP5Y/qKrPAY8Dnxl2m4laAarqFeDlJO8fVu0CDjCDY8v89P2qJOcMPxMnap3JsV2SFbzwcT3wE+Dfgb9Y7YsVi9T3+8xPI/8NeGb4up75c+F9wPPAPwGbV7vWk+q+Bnh0ePw+4F+Aw8A/AGevdn0L6vwQsH8Y338Ezp/VsQX+Evgx8Czw98DZszy2o355u6zUhBfopCYMu9SEYZeaMOxSE4ZdasKwS00YdqmJ/wHOrTfMa9EKVgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"img=np.zeros((100,100),dtype=np.uint16)\n",
"cv2.circle(img,(20,30),10,1,1)\n",
"cv2.circle(img,(50,60),10,1,1)\n",
"\n",
"plt.imshow(img.transpose())"
]
},
{
"cell_type": "code",
"execution_count": 148,
"metadata": {},
"outputs": [],
"source": [
"r=10\n",
"himg=np.zeros_like(img)\n",
"count=0\n",
"for x,y in np.argwhere(img>0):\n",
" timg=np.zeros_like(himg)\n",
" cv2.circle(timg,(x,y),r,1,1)\n",
" himg=himg+timg\n",
" count+=1\n",
" if count==100:\n",
" break"
]
},
{
"cell_type": "code",
"execution_count": 149,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f4aa8073fd0>"
]
},
"execution_count": 149,
"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(himg)"
]
},
{
"cell_type": "code",
"execution_count": 147,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x7f4a97dabdd8>"
]
},
"execution_count": 147,
"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": [
"from mpl_toolkits.mplot3d import Axes3D\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"x,y=np.meshgrid(range(himg.shape[0]),range(himg.shape[1]))\n",
"ax.plot_surface(x,y,himg)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {},
"outputs": [],
"source": [
"#obsolete\n",
"\n",
"import numpy as np\n",
"\n",
"def myhoughline(edges):\n",
" degs=np.array(range(360))\n",
" img=np.int32(np.zeros((len(degs),int(np.ceil(np.sqrt(edges.shape[0]**2+edges.shape[1]**2))))))\n",
" # not complete\n",
" return img\n",
"\n",
"# too slow\n",
"def myhoughcircle(edges,r):\n",
" img=np.zeros_like(edges,dtype=np.int32)\n",
" for x,y in np.argwhere(edges > 0):\n",
" timg=cv2.circle(img,(x,y),r,1,1)\n",
" img=timg+img\n",
" return img"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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