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Last active June 2, 2018 17:57
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Homography decomposition test
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{
"metadata": {
"name": "",
"signature": "sha256:371450e5ee0a04864ad6b0a711c9ac0ede0392831a37a7ef70adfed98b864526"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import cv2\n",
"import sys\n",
"import math\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import time # time.time() to get time\n",
"\n",
"from ObjTracking_IECON import *\n",
"\n",
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"K = np.loadtxt(\"calibration/K.csv\",delimiter=\",\")\n",
"dist_coef = np.loadtxt('calibration/d.csv',delimiter=\",\")\n",
"\n",
"temp = cv2.imread(\"object3.png\",0)\n",
"frame = cv2.imread(\"front.png\",0)\n",
"frame2 = cv2.imread(\"rotated30.png\",0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"r_frame = cv2.undistort(frame, K, dist_coef)\n",
"tracker = TempTracker(r_frame,\"SIFT\")\n",
"r_frame2 = cv2.undistort(frame2, K, dist_coef)\n",
"tracker.track(r_frame2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"195\n",
"inliner : 43 in 50\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print(tracker.H)\n",
"retval, rotations, translations, normals = cv2.decomposeHomographyMat(tracker.H,tracker.K)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[[ 1.03510143e+00 -1.14825191e-02 3.38856895e+01]\n",
" [ 2.39404069e-01 9.93436359e-01 8.16706709e-01]\n",
" [ 6.02335765e-04 6.55813459e-06 1.00000000e+00]]\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# really?\n",
"h,w = frame.shape\n",
"pts = np.float32([ [0,0],[0,h-1],[w-1,h-1],[w-1,0] ]).reshape(-1,1,2)\n",
"print(cv2.perspectiveTransform(pts,tracker.H))\n",
"print(tracker.rect)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[[[ 33.88568878 0.81670672]]\n",
"\n",
" [[ 28.29667282 475.18002319]]\n",
"\n",
" [[ 496.97299194 453.62863159]]\n",
"\n",
" [[ 502.07180786 111.05258942]]]\n",
"[[[ 33.88568878 0.81670672]]\n",
"\n",
" [[ 28.29667282 475.18002319]]\n",
"\n",
" [[ 496.97299194 453.62863159]]\n",
"\n",
" [[ 502.07180786 111.05258942]]]\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.imshow(r_frame,cmap='gray')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 11,
"text": [
"<matplotlib.image.AxesImage at 0x7fdcd4a34a90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Hysm/uWxaLs92JsmJTw7Zt9eg9L/npby4WDzPx4bueVqO0xtPU88ee94rq2cwFp+OeSmI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VX9MoBf7mf4SQD/XVVVf7GU8gUAnwHwBQA/D+C3+7d8qf//2f75L2dpf/azn60L6GAX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\nOqzhzDYqo+qu+bAOo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+DQSSZa/3539wUA7+AQiF4BsFpVFRdQqp/UeldVdQBgtZRy/h6r\nTPmHAP4WgAoASikXANz5AOgNHOr870opz5VS/lr/2MT7CoAPA7hVSvmN/hDJ/1pKmcc91P10cuj7\nk4lew1VKWQTwRQB/s6qqDQzrO3H6V1XVq6rqcRwyuKdwOMQwruRPUPwApZTyaQA3qqp60XQYV58T\n0VvkJ6qq+nEAPwXgr5dS/jN8AHwFh13zJwD8WlVVTwDYxGHP9Z7pfhLA+RYAHRS/2j82yXKjlHI/\nAJRSHsBhFxI41Pshue7Ey9KfiPgigN+qquq3+4c/MPpXVbUG4KsAPgHgbCmFPqq61XqXUqYALFdV\ntXKPVQWAnwDw06WUVwH8cwB/CsCvAjgz4XoDAKqqerv/fROHwzpP4YPhK28CeKOqqt/r//9XOATS\ne6b7SQDncwA+Ukp5uJTSBvBzAL50Ano0ScEgG/gSgL/S//1XAPy2HP/LAFBK+TgOu5Y37o2Kqfxv\nAL5VVdWvyrGJ1r+UcpEzoKWUOQB/BsC3AHwFwGf6l/08BvX++f7vzwD48r3T9kiqqvrlqqo+VFXV\nn8ChH3+5qqq/iAnXGwBKKfP9nglKKQsA/gsAL2HCfQUA+vm+UUp5tH/oTwP4Ju6l7ic0uPtncTjj\n+10Av3QSOjTo9n8A+B6ALoA/BvBXAZwD8P/2df73AM7K9f8Eh6sEvgHgiRPW/ScAHOBwpcILAJ7v\n2/r8JOsP4Ef7ur4I4PcB/A/94x8G8CyAl3E4Uz3TP94B8C/6/vMMgGsT4DefxNHk0MTr3deRfvIS\n2+Gk+4ro8p/gkIS9COD/xOGs+j3T/fSRy1M5lVM5lWPK6eTQqZzKqZzKMeUUOE/lVE7lVI4pp8B5\nKqdyKqdyTDkFzlM5lVM5lWPKKXCeyqmcyqkcU06B81RO5VRO5ZhyCpynciqncirHlFPgPJVTOZVT\nOab8/4Ncgp0aAv7hAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fdcd4a93ad0>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.imshow(tracker.show,cmap='gray')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 6,
"text": [
"<matplotlib.image.AxesImage at 0x7fdcd5bf8b90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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1Wq0aQUD180BltVpFPB73HCIskQ+lSaXTaUxNTSESiaDdbuP4+NhzUlEymUQw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IqXAfxaURT/DMC3AXzhbvwvAPh3RVG8BmAJmRV1LaQWKroXxUtZMIJVyurWMQvNQ9Ph0JSv/Y32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\n+RdypDkO0zmntgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7fdd4476e290>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# euler check\n",
"def rot2eul(pose_mat):\n",
" cosine_for_pitch = math.sqrt(pose_mat[0][0] ** 2 + pose_mat[1][0] ** 2)\n",
" is_singular = cosine_for_pitch < 10**-6\n",
" if not is_singular:\n",
" yaw = math.atan2(pose_mat[1][0], pose_mat[0][0])\n",
" pitch = math.atan2(-pose_mat[2][0], cosine_for_pitch)\n",
" roll = math.atan2(pose_mat[2][1], pose_mat[2][2])\n",
" else:\n",
" yaw = math.atan2(-pose_mat[1][2], pose_mat[1][1])\n",
" pitch = math.atan2(-pose_mat[2][0], cosine_for_pitch)\n",
" roll = 0\n",
" return np.array([roll,pitch,yaw]) "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rot_eul = []\n",
"for i in range (0,retval):\n",
" eul = rot2eul(rotations[i])\n",
" print eul\n",
" rot_eul.append(eul)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 1.13752938e-04 -6.14978735e-04 2.36650343e-01]\n",
"[ 1.13752938e-04 -6.14978735e-04 2.36650343e-01]\n",
"[ 3.12972562 0.1183183 2.95244412]\n",
"[ 3.12972562 0.1183183 2.95244412]\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"refn = np.array([0,0,1],dtype='float')\n",
"for n in normals:\n",
" print n\n",
" print refn.dot(n)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[[ 0.00139088]\n",
" [ 0.00669239]\n",
" [ 0.99997664]]\n",
"[ 0.99997664]\n",
"[[-0.00139088]\n",
" [-0.00669239]\n",
" [-0.99997664]]\n",
"[-0.99997664]\n",
"[[ 0.05990168]\n",
" [-0.00594666]\n",
" [ 0.99818657]]\n",
"[ 0.99818657]\n",
"[[-0.05990168]\n",
" [ 0.00594666]\n",
" [-0.99818657]]\n",
"[-0.99818657]\n"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"frame3 = cv2.imread(\"rotated45.png\",0)\n",
"r_frame = cv2.undistort(frame, K, dist_coef)\n",
"tracker2 = TempTracker(r_frame,\"SIFT\")\n",
"r_frame3 = cv2.undistort(frame3, K, dist_coef)\n",
"tracker2.track(r_frame3)\n",
"\n",
"print(tracker2.H)\n",
"retval2, rotations2, translations2, normals2 = cv2.decomposeHomographyMat(tracker2.H,tracker2.K)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"133\n",
"inliner : 26 in 32\n",
"[[ 9.48120222e-01 -2.29157502e-01 9.74997972e-02]\n",
" [ -2.11687134e-02 6.10429647e-01 2.26778045e+01]\n",
" [ -9.20082504e-05 -6.32033953e-04 1.00000000e+00]]\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.imshow(tracker2.show,cmap='gray')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"<matplotlib.image.AxesImage at 0x7fdcd4a7c0d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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0TmoDmpemixYgvI3RwIvYmN/v9uo6dGEaXUUmA2w2m1hYWKhM19lOtz0FTdXN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cbBD+/rmwDZuDpHpNeAR0Cmep2cnEydeKMMhcK83FASc1cQ17kpxiFjSu9oYloK/um6O5bUcZw9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\n",
"text": [
"<matplotlib.figure.Figure at 0x7fdcd5baca90>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rot_eul2 = []\n",
"for i in range (0,retval):\n",
" eul = rot2eul(rotations2[i])\n",
" print eul\n",
" rot_eul2.append(eul)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[-3.00211131 0.01916637 -0.24271745]\n",
"[-3.00211131 0.01916637 -0.24271745]\n",
"[ -2.82064787e-04 -1.74198063e-04 2.35436794e-01]\n",
"[ -2.82064787e-04 -1.74198063e-04 2.35436794e-01]\n"
]
}
],
"prompt_number": 41
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for i in range (0,retval):\n",
" print(translations[i])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[[ 94.77743686]\n",
" [ 65.42978898]\n",
" [ 2.19694095]]\n",
"[[-94.77743686]\n",
" [-65.42978898]\n",
" [ -2.19694095]]\n",
"[[ 94.79372566]\n",
" [ 65.44277677]\n",
" [ 0.19727429]]\n",
"[[-94.79372566]\n",
" [-65.44277677]\n",
" [ -0.19727429]]\n"
]
}
],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for i in range (0,retval):\n",
" print(normals[i])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[[ 0.01172157]\n",
" [ 0.00984732]\n",
" [ 0.99988281]]\n",
"[[-0.01172157]\n",
" [-0.00984732]\n",
" [-0.99988281]]\n",
"[[-0.00140924]\n",
" [-0.00150889]\n",
" [ 0.99999787]]\n",
"[[ 0.00140924]\n",
" [ 0.00150889]\n",
" [-0.99999787]]\n"
]
}
],
"prompt_number": 20
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## My method"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"tracker.H"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 16,
"text": [
"array([[ 1.03510143e+00, -1.14825191e-02, 3.38856895e+01],\n",
" [ 2.39404069e-01, 9.93436359e-01, 8.16706709e-01],\n",
" [ 6.02335765e-04, 6.55813459e-06, 1.00000000e+00]])"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"tracker.rect"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 18,
"text": [
"array([[[ 33.88568878, 0.81670672]],\n",
"\n",
" [[ 28.29667282, 475.18002319]],\n",
"\n",
" [[ 496.97299194, 453.62863159]],\n",
"\n",
" [[ 502.07180786, 111.05258942]]], dtype=float32)"
]
}
],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"hl = abs(tracker.rect[0,0,1]-tracker.rect[1,0,1])\n",
"hr = abs(tracker.rect[2,0,1]-tracker.rect[3,0,1])\n",
"f = K[0,0]/2+K[1,1]/2\n",
"hei,wid = tracker.template.shape\n",
"\n",
"print(f*hei/wid*(1.0/hr-1.0/hl))\n",
"\n",
"print(math.asin(f*hei/wid*(1.0/hr-1.0/hl)))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.499543131664\n",
"0.523071309775\n"
]
}
],
"prompt_number": 51
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"tracker.template.shape"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 27,
"text": [
"(480, 640)"
]
}
],
"prompt_number": 27
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 35,
"text": [
"array([[ 820.289019, 0. , 313.146102],\n",
" [ 0. , 822.32823 , 248.417947],\n",
" [ 0. , 0. , 1. ]])"
]
}
],
"prompt_number": 35
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"tracker.H"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 32,
"text": [
"array([[ 1.03510143e+00, -1.14825191e-02, 3.38856895e+01],\n",
" [ 2.39404069e-01, 9.93436359e-01, 8.16706709e-01],\n",
" [ 6.02335765e-04, 6.55813459e-06, 1.00000000e+00]])"
]
}
],
"prompt_number": 32
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rect = cv2.perspectiveTransform(tracker.rect,np.linalg.inv(K))\n",
"print(rect)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[[[-0.3404415 -0.30109781]]\n",
"\n",
" [[-0.34725496 0.27575615]]\n",
"\n",
" [[ 0.22410014 0.24954839]]\n",
"\n",
" [[ 0.23031603 -0.16704445]]]\n"
]
}
],
"prompt_number": 40
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"hl = abs(rect[0,0,1]-rect[1,0,1])\n",
"hr = abs(rect[2,0,1]-rect[3,0,1])\n",
"hei,wid = tracker.template.shape\n",
"\n",
"print(1.0*hei/wid*(1.0/hr-1.0/hl))\n",
"theta = math.asin(1.0*hei/wid*(1.0/hr-1.0/hl)) \n",
"\n",
"print(theta)\n",
"print(theta/math.pi*180)\n",
"\n",
"## the same without K correction"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.500163310103\n",
"0.523787360129\n",
"30.0108050977\n"
]
}
],
"prompt_number": 45
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Comparison\n",
"- My method: 30 deg\n",
"- Homography Decomp: 17 deg\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## scaling check\n",
"- Homography : not found\n",
"- My method: easy\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"inv_scaling = hei/2.0*(1.0/hr + 1.0/hl)\n",
"print(1/inv_scaling)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.82883298505\n"
]
}
],
"prompt_number": 54
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 53,
"text": [
"1.4011487384295016"
]
}
],
"prompt_number": 53
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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