{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from functools import reduce\n", "import numpy as np\n", "import cv2" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Construct 3D rotation matrix when rotations around x,y,z axes are specified \n", "def construct_RotationMatrixHomogenous(rotation_angles):\n", " assert(type(rotation_angles)==list and len(rotation_angles)==3)\n", " RH = np.eye(4,4)\n", " cv2.Rodrigues(np.array(rotation_angles), RH[0:3, 0:3])\n", " return RH" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# https://en.wikipedia.org/wiki/Rotation_matrix\n", "def getRotationMatrixManual(rotation_angles):\n", " \n", " rotation_angles = map(lambda x : np.deg2rad(x), rotation_angles)\n", " \n", " phi = rotation_angles[0] # around x\n", " gamma = rotation_angles[1] # around y\n", " theta = rotation_angles[2] # around z\n", " \n", " # X rotation\n", " Rphi = np.eye(4,4)\n", " sp = np.sin(phi)\n", " cp = np.cos(phi)\n", " Rphi[1,1] = cp\n", " Rphi[2,2] = Rphi[1,1]\n", " Rphi[1,2] = -sp\n", " Rphi[2,1] = sp\n", " \n", " # Y rotation\n", " Rgamma = np.eye(4,4)\n", " sg = np.sin(gamma)\n", " cg = np.cos(gamma)\n", " Rgamma[0,0] = cg\n", " Rgamma[2,2] = Rgamma[0,0]\n", " Rgamma[0,2] = sg\n", " Rgamma[2,0] = -sg\n", " \n", " # Z rotation (in-image-plane)\n", " Rtheta = np.eye(4,4)\n", " st = np.sin(theta)\n", " ct = np.cos(theta)\n", " Rtheta[0,0] = ct\n", " Rtheta[1,1] = Rtheta[0,0]\n", " Rtheta[0,1] = -st\n", " Rtheta[1,0] = st\n", " \n", " R = reduce(lambda x,y : np.matmul(x,y), [Rphi, Rgamma, Rtheta]) \n", " \n", " return R" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def getPoints_for_PerspectiveTranformEstimation(ptsIn, ptsOut, W, H, sidelength):\n", " \n", " ptsIn2D = ptsIn[0,:]\n", " ptsOut2D = ptsOut[0,:]\n", " ptsOut2Dlist = []\n", " ptsIn2Dlist = []\n", " \n", " for i in xrange(0,4):\n", " ptsOut2Dlist.append([ptsOut2D[i,0], ptsOut2D[i,1]])\n", " ptsIn2Dlist.append([ptsIn2D[i,0], ptsIn2D[i,1]])\n", " \n", " pin = np.array(ptsIn2Dlist) + [W/2.,H/2.]\n", " pout = (np.array(ptsOut2Dlist) + [1.,1.]) * (0.5*sidelength)\n", " pin = pin.astype(np.float32)\n", " pout = pout.astype(np.float32)\n", " \n", " return pin, pout" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def warpMatrix(W, H, theta, phi, gamma, scale, fV):\n", " \n", " # M is to be estimated\n", " M = np.eye(4, 4)\n", " \n", " fVhalf = np.deg2rad(fV/2.)\n", " d = np.sqrt(W*W+H*H)\n", " sideLength = scale*d/np.cos(fVhalf)\n", " h = d/(2.0*np.sin(fVhalf))\n", " n = h-(d/2.0);\n", " f = h+(d/2.0);\n", " \n", " # Translation along Z-axis by -h\n", " T = np.eye(4,4)\n", " T[2,3] = -h\n", " \n", " # Rotation matrices around x,y,z\n", " R = getRotationMatrixManual([phi, gamma, theta])\n", " \n", " \n", " # Projection Matrix \n", " P = np.eye(4,4)\n", " P[0,0] = 1.0/np.tan(fVhalf)\n", " P[1,1] = P[0,0]\n", " P[2,2] = -(f+n)/(f-n)\n", " P[2,3] = -(2.0*f*n)/(f-n)\n", " P[3,2] = -1.0\n", " \n", " # pythonic matrix multiplication\n", " F = reduce(lambda x,y : np.matmul(x,y), [P, T, R]) \n", " \n", " # shape should be 1,4,3 for ptsIn and ptsOut since perspectiveTransform() expects data in this way. \n", " # In C++, this can be achieved by Mat ptsIn(1,4,CV_64FC3);\n", " ptsIn = np.array([[\n", " [-W/2., H/2., 0.],[ W/2., H/2., 0.],[ W/2.,-H/2., 0.],[-W/2.,-H/2., 0.]\n", " ]])\n", " ptsOut = np.array(np.zeros((ptsIn.shape), dtype=ptsIn.dtype))\n", " ptsOut = cv2.perspectiveTransform(ptsIn, F)\n", " \n", " ptsInPt2f, ptsOutPt2f = getPoints_for_PerspectiveTranformEstimation(ptsIn, ptsOut, W, H, sideLength)\n", " \n", " # check float32 otherwise OpenCV throws an error\n", " assert(ptsInPt2f.dtype == np.float32)\n", " assert(ptsOutPt2f.dtype == np.float32)\n", " M33 = cv2.getPerspectiveTransform(ptsInPt2f,ptsOutPt2f)\n", "\n", " return M33, sideLength" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def warpImage(src,theta, phi,gamma,scale,fovy,corners=None):\n", " H,W,Nc = src.shape\n", " M,sl = warpMatrix(W,H, theta,phi,gamma, scale,fovy); #Compute warp matrix\n", " sl = int(sl)\n", " print('Output image dimension = {}'.format(sl))\n", " dst = cv2.warpPerspective(src,M, (sl,sl)); #Do actual image warp\n", " return dst" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ado5YjkyCgYJojbZUlIQBTFYPyy5h3r6/zPDleUrNYxNIKdLGpubn6Ps1V559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h47uf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\njBNOnbGeKuOEsY+1J0KipzCFKfQWpohhC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "src = cv2.imread('Lena.png')\n", "src = src[...,::-1] # BGR to RGB\n", "H,W,Nc = src.shape\n", "plt.imshow(src)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Output image dimension = 809\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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vpJSLdARBSNgeokTzLzeuJCClHGhikzgLSBRtYclHf4SyOIstUIr2qEx3vbpfzqE/VxQE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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imgwarped = warpImage(src, 0, 30, 0, 1., 53)\n", "plt.imshow(imgwarped)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(512, 512, 3)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "src.shape" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(809, 809, 3)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imgwarped.shape" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "r = cv2.resize(imgwarped, dsize=(218,219))" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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NLMUktqJY3LvmhVBhItA3Q6o0XUEgEmjiqrEEXpEjIvyfezbGdGboiwLGEIRz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(r)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "theta = np.rad2deg(np.arctan2(640,480))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "53.13010235415598" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "theta" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.14" } }, "nbformat": 4, "nbformat_minor": 2 }