Esempio n. 1
0
Surface makeSurfRev(const Curve &profile, unsigned steps)
{
    Surface surface;
    vector<Vector3f> initialVV;
    
    if (!checkFlat(profile))
    {
        cerr << "surfRev profile curve must be flat on xy plane." << endl;
        exit(0);
    }

    // TODO: Here you should build the surface.  See surf.h for details.

    //cerr << "\t>>> makeSurfRev called (but not implemented).\n\t>>> Returning empty surface." << endl;
 

    for (unsigned i=0; i<profile.size(); i++){

        for (unsigned j=0; j<=steps; j++){
            float t = 2.0f * M_PI * float( j ) / steps;

	    //Matrix operations used to calulate normal
	    Matrix4f rotatM = Matrix4f::rotateY(t);
	    Matrix3f rotatMsub = rotatM.getSubmatrix3x3(0,0);
	    Matrix3f rotatMtrans = rotatMsub.transposed();
	    Matrix3f rotatN = rotatMtrans.inverse();

	    //Calculate surface vertex
	    Vector4f surfaceCalc = Vector4f(profile[i].V[0], profile[i].V[1], profile[i].V[2], 1.f);
	    Vector4f surfaceVecInit = rotatM*surfaceCalc;
	    Vector3f surfaceVec = Vector3f(surfaceVecInit[0], surfaceVecInit[1], surfaceVecInit[2]);

	    //Calculate surface normal
	    Vector3f surfaceVNInit = rotatN*profile[i].N;

	    //Push vectors into surface data
	    surface.VV.push_back(surfaceVec);
	    surface.VN.push_back(-1*surfaceVNInit);

        }
    }

    //Calculate faces once all the vertices are added
    for (unsigned k=0; k<surface.VV.size()-(steps+1);k++){
	Tup3u firstTri;		//faces uses a series of connected triangles
	Tup3u secondTri;

	if ((k+1)%(steps+1) != 0)	//Create triangles (considering edge conditions)
	{
	    //Triangles in counter-clockwise manner
	    firstTri = Tup3u(k+1, k, k+steps+1);
            secondTri = Tup3u(k+1, k+1+steps, k+2+steps);   
        }

	surface.VF.push_back(firstTri);
	surface.VF.push_back(secondTri);  
    }

    return surface;
}
int main(int argc, char** argv) {
    ros::init (argc, argv, "pcl_homework");
    ros::NodeHandle n;

    char dir [] = "../dataset-kinect/";
    char rgbPrefix []= "rgb_";
    char depthPrefix []= "depth_";
    char jpgSuffix []= ".jpg";
    char pgmSuffix []= ".pgm";

    rotated << -1, 0, 0, 0,
                0, -1, 0, 0,
                0, 0, -1, 0,
                0, 0, 0, 1;

    camera_matrix<< fx, 0.0f, cx, 0.0f, fy, cy, 0.0f, 0.0f, 1.0f;
    t_mat.setIdentity();
    t_mat.block<3, 3>(0, 0) = camera_matrix.inverse();


    //Uncomment to show Mask Window
    namedWindow("Foreground", CV_WINDOW_AUTOSIZE);

    cvStartWindowThread();

    pcl::visualization::CloudViewer viewer ("Simple Cloud Viewer");

    //Uncomment to create Mask
    BackgroundSubtractorMOG PMOG(20, 4, 0.9);

    // Fill in the cloud data
    cloud->width    = 640;
    cloud->height   = 480;
    cloud->is_dense = false;
    cloud->points.resize (cloud->width * cloud->height);

    for( int i = 400; i < 550; i++ ) {
        char buffer1[100];
        char buffer2[100];
        sprintf(buffer1,"%s%s%d%s", dir, rgbPrefix, i, jpgSuffix);
        sprintf(buffer2,"%s%s%d%s", dir, depthPrefix, i, pgmSuffix);
        rgb_image = readJPG(buffer1);
        depth_image = readPGM(buffer2);

        //Calculate and show Mask
        PMOG(rgb_image,fgMaskMOG);
        imshow( "Foreground", fgMaskMOG );

        createPC();
        if(!viewer.wasStopped()){
            pcl::transformPointCloud( *cloud, *cloud, rotated);
            viewer.showCloud(cloud);
            ros::Duration(0.25, 0).sleep();
        }
    }

        waitKey(0);
        return 0;
}
void PointWithNormalMerger::computeAccumulator() {
  // Compute skin.
  _indexImage.resize(480*_scale, 640*_scale);
  Matrix3f _scaledCameraMatrix = _cameraMatrix;
  _scaledCameraMatrix.block<2, 3>(0, 0) *= _scale;
  _points.toIndexImage(_indexImage, _depthImage, _scaledCameraMatrix, Isometry3f::Identity());
  
  // Compute sigma for each point and create image accumulator.
  PixelMapper pm;
  pm.setCameraMatrix(_scaledCameraMatrix);
  pm.setTransform(Isometry3f::Identity());
  Matrix3f inverseCameraMatrix = _scaledCameraMatrix.inverse();
  float fB = (_baseLine * _scaledCameraMatrix(0, 0)); // kinect baseline * focal lenght;
  CovarianceAccumulator covAcc;
  _covariances.resize(480*_scale, 640*_scale);
  _covariances.fill(covAcc);
  for(size_t i = 0; i < _points.size(); i++ ) {
    PointWithNormal &p = _points[i];
    Vector2i coord = pm.imageCoords(pm.projectPoint(p.point()));
    if(coord[0] < 0 || coord[0] >= _depthImage.cols() ||
       coord[1] < 0 || coord[1] >= _depthImage.rows())
      continue;
    int index = _indexImage(coord[1], coord[0]);
    float skinZ = _depthImage(coord[1], coord[0]);
    Vector3f normal = p.normal();
    Vector3f skinNormal = _points[index].normal();
    float z = p[2];
    if(abs(z - skinZ) > 0.05)
      continue;
    if(acosf(skinNormal.dot(normal)) > M_PI/4.0f)
      continue;
    float zVariation = (_alpha*z*z)/(fB+z*_alpha);
    zVariation *= zVariation;
    Diagonal3f imageCovariance(1.0f, 1.0f, zVariation);
    Matrix3f covarianceJacobian;
    covarianceJacobian <<
      z, 0, (float)coord[0],
      0, z, (float)coord[1],
      0, 0, 1;
    covarianceJacobian = inverseCameraMatrix*covarianceJacobian;
    Matrix3f worldCovariance = covarianceJacobian * imageCovariance * covarianceJacobian.transpose();
    _covariances(coord[1], coord[0])._omegaAcc += worldCovariance.inverse();
    _covariances(coord[1], coord[0])._pointsAcc += worldCovariance.inverse()*p.point();
    _covariances(coord[1], coord[0])._used = true;
  }
}
int main()
{
    Matrix3f A;
    A << 1, 2, 1,
    2, 1, 0,
    -1, 1, 2;
    cout << "Here is the matrix A:\n" << A << endl;
    cout << "The determinant of A is " << A.determinant() << endl;
    cout << "The inverse of A is:\n" << A.inverse() << endl;
}
int main(int, char**)
{
  cout.precision(3);
  Matrix3f A;
Vector3f b;
A << 1,2,3,  4,5,6,  7,8,10;
b << 3, 3, 4;
Vector3f x = A.inverse() * b;
cout << "The solution is:" << endl << x << endl;

  return 0;
}
Esempio n. 6
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	void testInversion()
	{
		Matrix3f rab = ma * mb;
		Matrix3f rabInv = mab.inverse();


		/*
		std::cout << "ma * mb=\n" << rab << std::endl;
		std::cout << "inv(ma*mb) computed=\n" << rabInv << std::endl;
		std::cout << "inv(ma*mb) expected=\n" << mabInv << std::endl;
		*/

		CPPUNIT_ASSERT(rabInv == mabInv);
	}
Esempio n. 7
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void Lu::Initialize(MatrixXf x3d_h,MatrixXf x2d_h,  Matrix3f A) {
 

 

 x2d=x2d_h.transpose();
  // std::cout<<"x2dtrasn"<<x2d<<std::endl;
 x3d=x3d_h.transpose();
 //std::cout<<"x3dtrasn"<<x3d<<std::endl;

 x2dn=A.inverse ()*x2d;
 //std::cout<<"x2dn"<<x2dn<<std::endl;
 K=A;
  //std::cout<<"Intialize points "<<std::endl; 
}
void computeHomographyResidue(MatrixXf pts1, MatrixXf pts2, const Matrix3f &H, MatrixXf &residue){
  // cross residue
  filterPointAtInfinity(pts1, pts2);
  residue.resize(pts1.rows(), 1);
  MatrixXf Hx1 = (H*pts1.transpose()).transpose();
  MatrixXf invHx2 = (H.inverse()*pts2.transpose()).transpose();

  noHomogeneous(Hx1);
  noHomogeneous(invHx2);
  noHomogeneous(pts1);
  noHomogeneous(pts2);

  MatrixXf diffHx1pts2 = Hx1 - pts2;
  MatrixXf diffinvHx2pts1 = invHx2 - pts1;
  residue = diffHx1pts2.rowwise().squaredNorm() + diffinvHx2pts1.rowwise().squaredNorm();
}
Esempio n. 9
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Vector3f computePlaneIntersection( const Plane& plane0, const Plane& plane1, const Plane& plane2 )
{
    // TODO: Paralllel planes, whew !

    Matrix3f linSolve;
    linSolve.set_row( 0, plane0.getNormal() );
    linSolve.set_row( 1, plane1.getNormal() );
    linSolve.set_row( 2, plane2.getNormal() );

    Matrix3f ilinSolve;
    linSolve.inverse( ilinSolve );

    Vector3f bSolve( -plane0.getd(),
                     -plane1.getd(),
                     -plane2.getd() );

    return ilinSolve * bSolve;
}
Esempio n. 10
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void Physics_testTest::testCase1()
{
  Matrix3f matrix(Matrix3f::kZero);
  Matrix3f identity(Matrix3f::kIdentity);

  Matrix3f sum(identity + identity);
  Matrix3f sum2 = identity * 2.0f;

  QVERIFY2(sum2 - sum == Matrix3f::kZero, "Sum" );
  QVERIFY2(sum2.det() == 8.0f, "Det");

  Matrix3f inverse = sum2.inverse();
  QVERIFY2(inverse.det() - (1.0f/8.0f) < 0.01f, "Inverse");
  QVERIFY2(inverse*sum2 == Matrix3f::kIdentity, "Inverse2");

  Matrix3f rotX = Matrix3f::RotationX(0.1);
  Matrix3f rotY = Matrix3f::RotationY(0.5);
  Matrix3f rotZ = Matrix3f::RotationZ(2.0);

  Matrix3f total = rotX * rotY * rotZ;

  QVERIFY2(fabs(((total * total.inverse()) - Matrix3f::kIdentity).det()) < 0.00000001f, "Complex");

  Vector3f y_up = Vector3f(0.0f, 1.0f, 0.0f);
  Vector3f x_right = Vector3f(1.0f, 0.0f, 0.0f);

  Vector3f imageY = rotX * y_up;
  QVERIFY2(fabs(imageY.dot(y_up) - cosf(0.1f)) < 0.00001, "Rotation");

  Matrix3f rot_axis = Matrix3f::FromAxisAngle(y_up, 0.5);
  Vector3f imageX = rot_axis * y_up;
  QVERIFY2(fabs(imageX.dot(y_up) - y_up.lengthSquared()) < 0.00001, "Axis Angle");

  imageX = rot_axis * x_right;
  QVERIFY2(fabs(imageX.dot(x_right) - cosf(0.5)) < 0.00001, "Axis Angle");

  //Matrix3f identity = Matrix3f::kIdentity;
  QVERIFY2(true, "Failure");
}
Matrix3f A;
Vector3f b;
A << 1,2,3,  4,5,6,  7,8,10;
b << 3, 3, 4;
Vector3f x = A.inverse() * b;
cout << "The solution is:" << endl << x << endl;
Esempio n. 12
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QImage CVlib::generateImage(QImage imageBase, Matrix3f h, QVector<Vector3f> *renderArea)
{
    QVector<Vector3f> areaTemp;
    if(renderArea==0){
        areaTemp.push_back(Vector3f(0,0,1));
        areaTemp.push_back(Vector3f(0,imageBase.height(),1));
        areaTemp.push_back(Vector3f(imageBase.width(),imageBase.height(),1));
        areaTemp.push_back(Vector3f(imageBase.width(),0,1));
    }else{
        areaTemp = *renderArea;
    }
    bounds limits = CVlib::getHomographyBounds(areaTemp, h);

   QSize size;
   float ratio;
   float tamanhoBase =500;
//   if(imageBase.width()>imageBase.height()){
//       tamanhoBase = imageBase.width();
//   }else{
//       tamanhoBase = imageBase.height();
//   }
   if(limits.dx < limits.dy){
       qDebug() << "dx";
       ratio = limits.dx/ limits.dy;
       size = QSize(tamanhoBase* ratio, tamanhoBase);
   }else{
       qDebug() << "dy";
      ratio = limits.dy/ limits.dx;
      size = QSize(tamanhoBase , tamanhoBase*ratio);
      //size = QSize(imageBase.width() * ratio, imageBase.width());
   }
    //ratio = limits.dx/ limits.dy;
    //size = QSize(300 * ratio, 300);
    QImage imageResult = QImage(size.width(), size.height(), QImage::Format_ARGB32);

    //TODO testar imagem horizontal e vertical
    //TODO implementar outros trabalhos
    //Todo entrada de paramentro baseado no tamanho de saida da imagem

    float factor = 1;
    float stepX = limits.dx / size.width() / factor;
    float stepY = limits.dy / size.height() /factor;

    Matrix3f hi = h.inverse().eval();
    for(int j = 0; j<imageResult.height(); j++){
        for(int i = 0; i<imageResult.width(); i++){
            MatrixXf p(3,1);
            p << (limits.left + stepX * i) , (limits.top + stepY * j), 1;
            MatrixXf r(3,1);
            r= CVlib::homography(p, hi);
            QPoint p0(r(0),r(1));
            QColor color(0, 0, 0);
            MatrixXf finalColor(3,1);
            finalColor << 0, 0, 0;
            float ratio = 1;
            if((p0.x() >=0 && p0.x() < imageBase.width())&&(p0.y()>=0 && p0.y()<imageBase.height())){
                ratio = 0;
                for(int offSetY = -1; offSetY <= 1; offSetY++){
                    for(int offSetX = -1; offSetX <= 1; offSetX++){
                        QPoint ptemp(p0.x() + offSetX, p0.y() + offSetY);
                        float ratioX =  r(0)-ptemp.x();
                        float ratioY =  r(1)-ptemp.y();
                        float dist   = std::abs(1 - std::sqrt(std::pow(ratioX, 2) + std::pow(ratioY,2)));
                        ratio += dist;
                        if((ptemp.x() >=0 && ptemp.x() < imageBase.width())&&(ptemp.y()>=0 && ptemp.y()<imageBase.height())){
                            QColor ctemp = imageBase.pixel(ptemp.x(), ptemp.y());
                            MatrixXf cmTemp(3,1);
                            cmTemp << ctemp.redF(), ctemp.greenF(), ctemp.blueF();
                            finalColor += cmTemp * dist;
                        }
                    }
                }
            }
            finalColor = finalColor/ratio;
            color.setRgb(finalColor(0) * 255, finalColor(1) * 255, finalColor(2) * 255);
            imageResult.setPixel(QPoint(i, j), color.rgb());
        }
     }
    return imageResult;
}
Esempio n. 13
0
int Lu::objpose(MatrixXf P, MatrixXf Qp)
{
  int n = P.cols();
  int i;
 // move the origin to the center of P
// std::cout<<"P\n"<<P<<std::endl; 
  
  Vector3f pbar=Vector3f::Zero();
 // std::cout<<"pbar\n"<<pbar<<std::endl;
    
  for (i = 0; i<n;i++){
 // std::cout<<"Pcol\n"<<P.col(i)<<std::endl; 
      pbar=pbar+P.col(i);
   }
 //std::cout<<"pbar\n"<<pbar; 
  pbar= pbar/n;
  
 // std::cout<<"move the origin to the center of P"<<std::endl;
 //std::cout<<"P\n"<<P;
 //std::cout<<"pbar\n"<<pbar<<std::endl; 
  
  for (i = 0; i<n;i++){
     P.col(i) = P.col(i)-pbar;
  }
 
 //std::cout<<"P\n"<<P<<std::endl; 
  MatrixXf Q;

  Q=MatrixXf::Zero(3,n);
  
for (i = 0 ;i<n;i++){

  Q(0,i)=Qp(0,i);
    Q(1,i)=Qp(1,i);
      Q(2,i)=1;
}

//std::cout<<"Q\n"<<Q<<std::endl; 
//create matrix F with 0's
//Matrix3f maux;

//for (i=0;i<n;i++ ){
//  F.push_back(Matrix3f::Zero(3,3));
//}

 
RowVector3f V;
V= RowVector3f::Zero();
std::vector<Matrix3f > F;
Matrix3f F_aux;
 
 for (i = 0 ;i<n;i++){
    V[0] = Q(0,i)/Q(2,i);
    V[1] = Q(1,i)/Q(2,i);
    V[2] = Q(2,i)/Q(2,i);
   //std::cout<<"V\n"<<V<<std::endl; 
   
   Matrix3f F_aux;
   F_aux=(V.transpose()*V)/V.dot(V);
   
   //std::cout<<"F_aux\n"<<F_aux<<std::endl; 
 //  F_aux = (V*V.transpose())/(V.transpose()*V);
   F.push_back(F_aux);
}

 //compute the matrix factor required to compute t  
 Matrix3f F_sum=Matrix3f::Zero(3,3);
 
  for (i = 0 ;i< n;i++){
    F_sum=F_sum + F[i];
  }
    
  //std::cout<<"F_sum\n"<<F_sum<<std::endl;
  
  Matrix3f tFactor = (Matrix3f::Identity()-F_sum/n);
  tFactor=tFactor.inverse()/n;
  
 //std::cout<<"tfactor\n"<<tFactor<<std::endl;
  
  MatrixXf Ri_;
  MatrixXf ti_;
  MatrixXf Qi_;
  double old_err;
  
   // compute initial pose estimate
  abskernel(P, Q, F, tFactor);
  //Lu::abskernel(MatrixXf P, MatrixXf Q, std::vector<Matrix3f > F, MatrixXf G)
   
   
  Ri_=GetRi();
  ti_=Getti();
  Qi_=GetQout();
   int it = 1;
     
  old_err=Geterr();

  
  /*std::cout<<"Ri_\n"<<Ri_<<std::endl;
  std::cout<<"ti_\n"<<ti_<<std::endl;
  std::cout<<"Qi_\n"<<Qi_<<std::endl;
 std::cout<<"old_err\n"<<old_err<<std::endl;*/
  
   //std::cout<<"old_err\n"<<old_err<<std::endl;

// compute next pose estimate
   abskernel(P, Qi_, F, tFactor);
   Ri_=GetRi();
   ti_=Getti();
   Qi_=GetQout();
   
   double new_err=Geterr();

   it = it + 1; 
   
   /*std::cout<<"Ri_2\n"<<Ri_<<std::endl;
  std::cout<<"ti_2\n"<<ti_<<std::endl;
  std::cout<<"Qi_2\n"<<Qi_<<std::endl;
 std::cout<<"new_err\n"<<new_err<<std::endl;*/
  //std::cout<<"new_err\n"<<new_err<<std::endl;
 
  double val=(old_err-new_err)/old_err;
    val=sqrt(val*val);
  /* std::cout<<"val\n"<<val<<std::endl;
   std::cout<<"TOL\n"<<TOL<<std::endl;
   std::cout<<"EPSILON\n"<<EPSILON<<std::endl;
   std::cout<<"MAX_ITER\n"<<MAX_ITER<<std::endl;*/
   while ((val > TOL) && (new_err > EPSILON)  && (it<MAX_ITER)){

    old_err = new_err;
   //std::cout<<"old_err\n"<<old_err<<std::endl;
    // compute the optimal estimate of R
    abskernel(P, Qi_, F, tFactor);
    Ri_=GetRi();
    ti_=Getti();
    Qi_=GetQout();
    new_err=Geterr();
    it = it + 1;
  }
   
   
   R = Ri;
   t = ti_;
   obj_err = sqrt(new_err/n);
   
  //double img_err = sqrt(img_err/n);
   t = t - Ri*pbar;

  
   return 0;

}
Esempio n. 14
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Surface makeGenCyl(const Curve &profile, const Curve &sweep )
{
    Surface surface;

    if (!checkFlat(profile))
    {
        cerr << "genCyl profile curve must be flat on xy plane." << endl;
        exit(0);
    }

    // TODO: Here you should build the surface.  See surf.h for details.

    //cerr << "\t>>> makeGenCyl called (but not implemented).\n\t>>> Returning empty surface." <<endl;
    
    for (unsigned i=0; i<profile.size(); i++){

        for (unsigned j=0; j<sweep.size(); j++){

	    //Matrix from sweep
            Matrix4f coordM(sweep[j].N[0], sweep[j].B[0], sweep[j].T[0], sweep[j].V[0], 
			    sweep[j].N[1], sweep[j].B[1], sweep[j].T[1], sweep[j].V[1], 
			    sweep[j].N[2], sweep[j].B[2], sweep[j].T[2], sweep[j].V[2], 
			    0.f, 0.f, 0.f, 1.f);

	    //Matrix operations to get normal
	    Matrix3f rotatMsub = coordM.getSubmatrix3x3(0,0);
	    Matrix3f rotatMtrans = rotatMsub.transposed();
	    Matrix3f rotatN = rotatMtrans.inverse();

	    //Calculate surface vertex
	    Vector4f surfaceCalc = Vector4f(profile[i].V[0], profile[i].V[1], profile[i].V[2], 1.f);
	    Vector4f surfaceVecInit = coordM*surfaceCalc;
	    Vector3f surfaceVec = Vector3f(surfaceVecInit[0], surfaceVecInit[1], surfaceVecInit[2]);

	    //Calculate surface normal
	    Vector3f surfaceVNInit = rotatN*profile[i].N;

	    //Push vectors into surface data
	    surface.VV.push_back(surfaceVec);
	    surface.VN.push_back(-1*surfaceVNInit);
        }
    }

    //Calculate faces once all the vertices are added
    for (unsigned k=0; k<surface.VV.size()-(sweep.size());k++){

	Tup3u firstTri;		//faces uses a series of connected triangles
	Tup3u secondTri;

	if ((k+1)%(sweep.size()) != 0)	//Create triangles (considering edge conditions)
	{
	    //Triangles in counter-clockwise manner
	    firstTri = Tup3u(k+1, k, k+sweep.size());
            secondTri = Tup3u(k+1, k+sweep.size(), k+1+sweep.size());   
        }

	surface.VF.push_back(firstTri);
	surface.VF.push_back(secondTri);
            
    }

    return surface;
}
	Vector4f pointAlignerIteration(Vector3f x, MatrixXf Z){

		Matrix3f H;
		Vector3f b;
		Vector4f xNew_chi;

		H << 0,0,0,
			 0,0,0,
			 0,0,0;

		b << 0,
			 0,
			 0;


		float chi = 0;

		Matrix3f X = v2tRad(x);

		//cout << "matrix X from inside the point align iteration: \n" << X << endl;

		Matrix2f Omega;

		Omega << 1, 0,
				 0, 1;

		Vector2f e;
		Jacobian jac;

		for(int i=0; i < Z.cols(); i++){

			e = computeError(i, X, Z);
			jac = computeJacobian(i, X, Z);

			//cout << "jacobian: \n" << jac << endl;

			//getc(stdin);

			H += jac.transpose()*Omega*jac;
			b += jac.transpose()*Omega*e;

			chi += e.transpose()*Omega*e;

		}

		Vector3f dX;

		dX = -H.inverse()*b;

		//cout << "H inverse: \n" << H.inverse() << endl;	

		//getc(stdin);

		for(int i=0; i<3; i++){

			xNew_chi(i, 0) = x(i, 0) + dX(i, 0);

		} 

		xNew_chi(2, 0) = atan2(sin(xNew_chi(2,0)), cos(xNew_chi(2, 0)));

		xNew_chi(3, 0) = chi;

		return xNew_chi;

	}