Exemplo n.º 1
0
Arquivo: kinfu.cpp Projeto: cgrad/pcl
Eigen::Vector3f rodrigues2(const Eigen::Matrix3f& matrix)
{
    Eigen::JacobiSVD<Eigen::Matrix3f> svd(matrix, Eigen::ComputeFullV | Eigen::ComputeFullU);
    Eigen::Matrix3f R = svd.matrixU() * svd.matrixV().transpose();

    double rx = R(2, 1) - R(1, 2);
    double ry = R(0, 2) - R(2, 0);
    double rz = R(1, 0) - R(0, 1);

    double s = sqrt((rx*rx + ry*ry + rz*rz)*0.25);
    double c = (R.trace() - 1) * 0.5;
    c = c > 1. ? 1. : c < -1. ? -1. : c;

    double theta = acos(c);

    if( s < 1e-5 )
    {
        double t;

        if( c > 0 )
            rx = ry = rz = 0;
        else
        {
            t = (R(0, 0) + 1)*0.5;
            rx = sqrt( std::max(t, 0.0) );
            t = (R(1, 1) + 1)*0.5;
            ry = sqrt( std::max(t, 0.0) ) * (R(0, 1) < 0 ? -1.0 : 1.0);
            t = (R(2, 2) + 1)*0.5;
            rz = sqrt( std::max(t, 0.0) ) * (R(0, 2) < 0 ? -1.0 : 1.0);

            if( fabs(rx) < fabs(ry) && fabs(rx) < fabs(rz) && (R(1, 2) > 0) != (ry*rz > 0) )
                rz = -rz;
            theta /= sqrt(rx*rx + ry*ry + rz*rz);
            rx *= theta;
            ry *= theta;
            rz *= theta;
        }
    }
    else
    {
        double vth = 1/(2*s);
        vth *= theta;
        rx *= vth;
        ry *= vth;
        rz *= vth;
    }
    return Eigen::Vector3d(rx, ry, rz).cast<float>();
}