void Mesh::computeFaceGradients(Eigen::MatrixXd& gradients, const Eigen::VectorXd& u) const
{
for (FaceCIter f = faces.begin(); f != faces.end(); f++) {
Eigen::Vector3d gradient;
gradient.setZero();
Eigen::Vector3d normal = f->normal();
normal.normalize();
HalfEdgeCIter he = f->he;
do {
double ui = u(he->next->next->vertex->index);
Eigen::Vector3d ei = he->next->vertex->position - he->vertex->position;
gradient += ui * normal.cross(ei);
he = he->next;
} while (he != f->he);
gradient /= (2.0 * f->area());
gradient.normalize();
gradients.row(f->index) = -gradient;
}
}
void Camera::normalize()
{
/*
Gram–Schmidt process to orthonormalise vectors
http://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process#The_Gram.E2.80.93Schmidt_process
*/
double sc = scalingCoefficient();
Eigen::Vector3d x = d->modelview.linear().col(0);
Eigen::Vector3d y = d->modelview.linear().col(1);
Eigen::Vector3d z = d->modelview.linear().col(2);
y -= y.dot(x)/x.dot(x) * x;
z -= z.dot(x)/x.dot(x) * x;
z -= z.dot(y)/y.dot(y) * y;
x.normalize();
y.normalize();
z.normalize();
x *= sc;
y *= sc;
z *= sc;
d->modelview.linear().col(0) = x;
d->modelview.linear().col(1) = y;
d->modelview.linear().col(2) = z;
}
static Eigen::Vector3d mapToSphere(
Eigen::Matrix4d invProjMatrix,
Eigen::Vector2d const p,
Eigen::Vector3d viewSphereCenter,
double viewSpaceRadius) {
Eigen::Vector4d viewP = invProjMatrix * Eigen::Vector4d(p(0), p(1), -1.0, 1.0);
//viewP(0) /= viewP(3);
//viewP(1) /= viewP(3);
//viewP(2) /= viewP(3);
Eigen::Vector3d rayOrigin(0.0, 0.0, 0.0);
Eigen::Vector3d rayDir(viewP(0), viewP(1), viewP(2));
rayDir.normalize();
Eigen::Vector3d CO = rayOrigin - viewSphereCenter;
double a = 1.0;
double bPrime = CO.dot(rayDir);
double c = CO.dot(CO) - viewSpaceRadius * viewSpaceRadius;
double delta = bPrime * bPrime - a * c;
if (delta < 0.0) {
double t = -CO.z() / rayDir.z();
Eigen::Vector3d point = rayOrigin + t * rayDir;
Eigen::Vector3d dir = point - viewSphereCenter;
dir.normalize();
return viewSphereCenter + dir * viewSpaceRadius;
}
double root[2] = { (-bPrime - sqrt(delta)) / a, (-bPrime + sqrt(delta)) / a };
if (root[0] >= 0.0) {
Eigen::Vector3d intersectionPoint = rayOrigin + root[0] * rayDir;
return intersectionPoint;
}
else if (root[1] >= 0.0) {
Eigen::Vector3d intersectionPoint = rayOrigin + root[1] * rayDir;
return intersectionPoint;
}
else {
double t = -CO.z() / rayDir.z();
Eigen::Vector3d point = rayOrigin + t * rayDir;
Eigen::Vector3d dir = point - viewSphereCenter;
dir.normalize();
return viewSphereCenter + dir * viewSpaceRadius;
}
}
Eigen::MatrixXd doubleLayer(const SphericalDiffuse<PurisimaIntegrator, ProfilePolicy> & gf, const std::vector<Element> & e) const {
// The singular part is "integrated" as usual, while the nonsingular part is evaluated in full
size_t mat_size = e.size();
Eigen::MatrixXd D = Eigen::MatrixXd::Zero(mat_size, mat_size);
for (size_t i = 0; i < mat_size; ++i) {
// Fill diagonal
double area = e[i].area();
double radius = e[i].sphere().radius;
// Diagonal of S inside the cavity
double Sii_I = factor * std::sqrt(4 * M_PI / area);
// Diagonal of D inside the cavity
double Dii_I = -factor * std::sqrt(M_PI/ area) * (1.0 / radius);
// "Diagonal" of Coulomb singularity separation coefficient
double coulomb_coeff = gf.coefficientCoulomb(e[i].center(), e[i].center());
// "Diagonal" of the directional derivative of the Coulomb singularity separation coefficient
double coeff_grad = gf.coefficientCoulombDerivative(e[i].normal(), e[i].center(), e[i].center()) / std::pow(coulomb_coeff, 2);
// "Diagonal" of the directional derivative of the image Green's function
double image_grad = gf.imagePotentialDerivative(e[i].normal(), e[i].center(), e[i].center());
double eps_r2 = 0.0;
pcm::tie(eps_r2, pcm::ignore) = gf.epsilon(e[i].center());
D(i, i) = eps_r2 * (Dii_I / coulomb_coeff - Sii_I * coeff_grad + image_grad);
Eigen::Vector3d source = e[i].center();
for (size_t j = 0; j < mat_size; ++j) {
// Fill off-diagonal
Eigen::Vector3d probe = e[j].center();
Eigen::Vector3d probeNormal = e[j].normal();
probeNormal.normalize();
if (i != j) D(i, j) = gf.kernelD(probeNormal, source, probe);
}
}
return D;
}
double PairRelationDetector::RefPairModifier::operator() (Structure::Node *n1, Eigen::MatrixXd& m1, Structure::Node *n2, Eigen::MatrixXd& m2)
{
double deviation(-1.0), min_dist, mean_dist, max_dist;
if ( n1->id == n2->id)
return deviation;
Eigen::Vector3d refCenter = (n1->center() + n2->center())*0.5;
Eigen::Vector3d refNormal = n1->center() - n2->center();
refNormal.normalize();
Eigen::MatrixXd newverts2;
reflect_points3d(m2, refCenter, refNormal, newverts2);
distanceBetween(m1, newverts2, min_dist, mean_dist, max_dist);
deviation = 2 * mean_dist / (n1->bbox().diagonal().norm() + n2->bbox().diagonal().norm());
if ( deviation > maxAllowDeviation_)
{
maxAllowDeviation_ = deviation;
}
return deviation;
}
bool
pcl::EnsensoGrabber::setExtrinsicCalibration (const double euler_angle,
Eigen::Vector3d &rotation_axis,
const Eigen::Vector3d &translation,
const std::string target)
{
if (!device_open_)
return (false);
if (rotation_axis != Eigen::Vector3d (0, 0, 0)) // Otherwise the vector becomes NaN
rotation_axis.normalize ();
try
{
NxLibItem calibParams = camera_[itmLink];
calibParams[itmTarget].set (target);
calibParams[itmRotation][itmAngle].set (euler_angle);
calibParams[itmRotation][itmAxis][0].set (rotation_axis[0]);
calibParams[itmRotation][itmAxis][1].set (rotation_axis[1]);
calibParams[itmRotation][itmAxis][2].set (rotation_axis[2]);
calibParams[itmTranslation][0].set (translation[0] * 1000.0); // Convert in millimeters
calibParams[itmTranslation][1].set (translation[1] * 1000.0);
calibParams[itmTranslation][2].set (translation[2] * 1000.0);
}
catch (NxLibException &ex)
{
ensensoExceptionHandling (ex, "setExtrinsicCalibration");
return (false);
}
return (true);
}
void ShapeTextureFeature::add( const Eigen::Matrix< double, 6, 1 >& p_src, const Eigen::Matrix< double, 6, 1 >& p_dst, const Eigen::Vector3d& n_src, const Eigen::Vector3d& n_dst, float weight ) {
// surflet pair relation as in "model globally match locally"
const Eigen::Vector3d& p1 = p_src.block<3,1>(0,0);
const Eigen::Vector3d& p2 = p_dst.block<3,1>(0,0);
const Eigen::Vector3d& n1 = n_src;
const Eigen::Vector3d& n2 = n_dst;
Eigen::Vector3d d = p2-p1;
d.normalize();
const int s1 = std::min( (SHAPE_TEXTURE_TABLE_SIZE-1), std::max( 0, (int)round((SHAPE_TEXTURE_TABLE_SIZE-1.0) * 0.5 * (n1.dot( d )+1.0) ) ) );
const int s2 = std::min( (SHAPE_TEXTURE_TABLE_SIZE-1), std::max( 0, (int)round((SHAPE_TEXTURE_TABLE_SIZE-1.0) * 0.5 * (n2.dot( d )+1.0) ) ) );
const int s3 = std::min( (SHAPE_TEXTURE_TABLE_SIZE-1), std::max( 0, (int)round((SHAPE_TEXTURE_TABLE_SIZE-1.0) * 0.5 * (n1.dot( n2 )+1.0) ) ) );
shape_.block<1,NUM_SHAPE_BINS>(0,0) += weight * ShapeTextureTable::instance()->shape_value_table_[0][s1];
shape_.block<1,NUM_SHAPE_BINS>(1,0) += weight * ShapeTextureTable::instance()->shape_value_table_[1][s2];
shape_.block<1,NUM_SHAPE_BINS>(2,0) += weight * ShapeTextureTable::instance()->shape_value_table_[2][s3];
const int c1 = std::min( (SHAPE_TEXTURE_TABLE_SIZE-1), std::max( 0, (int)round((SHAPE_TEXTURE_TABLE_SIZE-1.0) * 0.5 * ((p_dst(3,0) - p_src(3,0))+1.0) ) ) );
const int c2 = std::min( (SHAPE_TEXTURE_TABLE_SIZE-1), std::max( 0, (int)round((SHAPE_TEXTURE_TABLE_SIZE-1.0) * 0.25 * ((p_dst(4,0) - p_src(4,0))+2.0) ) ) );
const int c3 = std::min( (SHAPE_TEXTURE_TABLE_SIZE-1), std::max( 0, (int)round((SHAPE_TEXTURE_TABLE_SIZE-1.0) * 0.25 * ((p_dst(5,0) - p_src(5,0))+2.0) ) ) );
texture_.block<1,NUM_TEXTURE_BINS>(0,0) += weight * ShapeTextureTable::instance()->texture_value_table_[0][c1];
texture_.block<1,NUM_TEXTURE_BINS>(1,0) += weight * ShapeTextureTable::instance()->texture_value_table_[1][c2];
texture_.block<1,NUM_TEXTURE_BINS>(2,0) += weight * ShapeTextureTable::instance()->texture_value_table_[2][c3];
num_points_ += weight;
}
void cxy_CAD_helper::getNormal(
geometry_msgs::Point const& v1
, geometry_msgs::Point const& v2
, geometry_msgs::Point const& v3
, geometry_msgs::Vector3 & normal)
{
Eigen::Vector3d vec1, vec2;
Eigen::Vector3d ev1, ev2, ev3;
Eigen::Vector3d enormal;
ev1 = Eigen::Vector3d(v1.x, v1.y, v1.z);
ev2 = Eigen::Vector3d(v2.x, v2.y, v2.z);
ev3 = Eigen::Vector3d(v3.x, v3.y, v3.z);
vec1 = ev2 - ev1;
vec2 = ev3 - ev1;
try
{
enormal = vec1.cross(vec2);
enormal.normalize();
normal.x = enormal(0);
normal.y = enormal(1);
normal.z = enormal(2);
}
catch (...)
{
ROS_WARN_STREAM("cxy_CAD_helper::getNormal exception. Block 1.");
}
}
/**
* \ingroup GLVisualization
* Apply the computed rotation matrix
* This method must be invoked inside the \code glutDisplayFunc() \endcode
*
**/
void Arcball::applyRotationMatrix()
{
glMultMatrixf(startMatrix);
if (isRotating)
{ // Do some rotation according to start and current rotation vectors
//cerr << currentRotationVector.transpose() << " " << startRotationVector.transpose() << endl;
if ((currentRotationVector - startRotationVector).norm() > 1E-6)
{
Eigen::Vector3d rotationAxis = currentRotationVector.cross(startRotationVector);
Eigen::Matrix3d currentMatrix;
for (int i = 0; i < 3;i++) {
for (int j = 0; j < 3;j++) {
currentMatrix(i, j) = (double)startMatrix[4 * i + j];
}
}
rotationAxis = currentMatrix*rotationAxis;// linear transformation
rotationAxis.normalize();
double val = currentRotationVector.dot(startRotationVector);
val > (1 - 1E-10) ? val = 1.0 : val = val;
double rotationAngle = acos(val) * 180.0f / (float)M_PI;//unit vector
// rotate around the current position
glRotatef(rotationAngle * 2, -rotationAxis.x(), -rotationAxis.y(), -rotationAxis.z());
}
}
}
// draw a 3D arrow starting from pt along dir, the arrowhead is on the other end
void drawArrow3D(const Eigen::Vector3d& _pt, const Eigen::Vector3d& _dir,
const double _length, const double _thickness,
const double _arrowThickness) {
Eigen::Vector3d normDir = _dir;
normDir.normalize();
double arrowLength;
if (_arrowThickness == -1)
arrowLength = 4*_thickness;
else
arrowLength = 2*_arrowThickness;
// draw the arrow body as a cylinder
GLUquadricObj *c;
c = gluNewQuadric();
gluQuadricDrawStyle(c, GLU_FILL);
gluQuadricNormals(c, GLU_SMOOTH);
glPushMatrix();
glTranslatef(_pt[0], _pt[1], _pt[2]);
glRotated(acos(normDir[2])*180/M_PI, -normDir[1], normDir[0], 0);
gluCylinder(c, _thickness, _thickness, _length-arrowLength, 16, 16);
// draw the arrowhed as a cone
glPushMatrix();
glTranslatef(0, 0, _length-arrowLength);
gluCylinder(c, arrowLength*0.5, 0.0, arrowLength, 10, 10);
glPopMatrix();
glPopMatrix();
gluDeleteQuadric(c);
}
//==============================================================================
Eigen::MatrixXd ContactConstraint::getTangentBasisMatrixODE(
const Eigen::Vector3d& _n)
{
// TODO(JS): Use mNumFrictionConeBases
// Check if the number of bases is even number.
// bool isEvenNumBases = mNumFrictionConeBases % 2 ? true : false;
Eigen::MatrixXd T(Eigen::MatrixXd::Zero(3, 2));
// Pick an arbitrary vector to take the cross product of (in this case,
// Z-axis)
Eigen::Vector3d tangent = mFirstFrictionalDirection.cross(_n);
// TODO(JS): Modify following lines once _updateFirstFrictionalDirection() is
// implemented.
// If they're too close, pick another tangent (use X-axis as arbitrary vector)
if (tangent.norm() < DART_CONTACT_CONSTRAINT_EPSILON)
tangent = Eigen::Vector3d::UnitX().cross(_n);
tangent.normalize();
// Rotate the tangent around the normal to compute bases.
// Note: a possible speedup is in place for mNumDir % 2 = 0
// Each basis and its opposite belong in the matrix, so we iterate half as
// many times
T.col(0) = tangent;
T.col(1) = Eigen::Quaterniond(Eigen::AngleAxisd(DART_PI_HALF, _n)) * tangent;
return T;
}
Eigen::Vector3d QuaternionToExponentialMap(const Eigen::Quaterniond& quaternion)
{
Eigen::Vector3d vec = quaternion.vec();
if (vec.norm() < ITOMP_EPS)
return Eigen::Vector3d::Zero();
double theta = 2.0 * std::acos(quaternion.w());
vec.normalize();
return theta * vec;
}
template <typename PointInT, typename PointOutT> void
pcl::MovingLeastSquares<PointInT, PointOutT>::projectPointToMLSSurface (float &u_disp, float &v_disp,
Eigen::Vector3d &u, Eigen::Vector3d &v,
Eigen::Vector3d &plane_normal,
Eigen::Vector3d &mean,
float &curvature,
Eigen::VectorXd &c_vec,
int num_neighbors,
PointOutT &result_point,
pcl::Normal &result_normal) const
{
double n_disp = 0.0f;
double d_u = 0.0f, d_v = 0.0f;
// HARDCODED 5*nr_coeff_ to guarantee that the computed polynomial had a proper point set basis
if (polynomial_fit_ && num_neighbors >= 5*nr_coeff_ && pcl_isfinite (c_vec[0]))
{
// Compute the displacement along the normal using the fitted polynomial
// and compute the partial derivatives needed for estimating the normal
int j = 0;
float u_pow = 1.0f, v_pow = 1.0f, u_pow_prev = 1.0f, v_pow_prev = 1.0f;
for (int ui = 0; ui <= order_; ++ui)
{
v_pow = 1;
for (int vi = 0; vi <= order_ - ui; ++vi)
{
// Compute displacement along normal
n_disp += u_pow * v_pow * c_vec[j++];
// Compute partial derivatives
if (ui >= 1)
d_u += c_vec[j-1] * ui * u_pow_prev * v_pow;
if (vi >= 1)
d_v += c_vec[j-1] * vi * u_pow * v_pow_prev;
v_pow_prev = v_pow;
v_pow *= v_disp;
}
u_pow_prev = u_pow;
u_pow *= u_disp;
}
}
result_point.x = static_cast<float> (mean[0] + u[0] * u_disp + v[0] * v_disp + plane_normal[0] * n_disp);
result_point.y = static_cast<float> (mean[1] + u[1] * u_disp + v[1] * v_disp + plane_normal[1] * n_disp);
result_point.z = static_cast<float> (mean[2] + u[2] * u_disp + v[2] * v_disp + plane_normal[2] * n_disp);
Eigen::Vector3d normal = plane_normal - d_u * u - d_v * v;
normal.normalize ();
result_normal.normal_x = static_cast<float> (normal[0]);
result_normal.normal_y = static_cast<float> (normal[1]);
result_normal.normal_z = static_cast<float> (normal[2]);
result_normal.curvature = curvature;
}
double EUTelGeometryTelescopeGeoDescription::FindRad(Eigen::Vector3d const & startPt, Eigen::Vector3d const & endPt) {
Eigen::Vector3d track = endPt-startPt;
double length = track.norm();
track.normalize();
double snext;
Eigen::Vector3d point;
Eigen::Vector3d direction;
double epsil = 0.00001;
double rad = 0.;
double propagatedDistance = 0;
bool reachedEnd = false;
TGeoMedium* med;
gGeoManager->InitTrack(startPt(0), startPt(1), startPt(2), track(0), track(1), track(2));
TGeoNode* nextnode = gGeoManager->GetCurrentNode();
while(nextnode && !reachedEnd) {
med = nullptr;
if (nextnode) med = nextnode->GetVolume()->GetMedium();
nextnode = gGeoManager->FindNextBoundaryAndStep(length);
snext = gGeoManager->GetStep();
if( propagatedDistance+snext >= length ) {
snext = length - propagatedDistance;
reachedEnd = true;
}
//snext gets very small at a transition into a next node, in this case we need to manually propagate a small (epsil)
//step into the direction of propagation. This introduces a small systematic error, depending on the size of epsil as
if(snext < 1.e-8) {
const double * currDir = gGeoManager->GetCurrentDirection();
const double * currPt = gGeoManager->GetCurrentPoint();
direction(0) = currDir[0]; direction(1) = currDir[1]; direction(2) = currDir[2];
point(0) = currPt[0]; point(1) = currPt[1]; point(2) = currPt[2];
point = point + epsil*direction;
gGeoManager->CdTop();
nextnode = gGeoManager->FindNode(point(0),point(1),point(2));
snext = epsil;
}
if(med) {
//ROOT returns the rad length in cm while we use mm, therefore factor of 10
double radlen = med->GetMaterial()->GetRadLen();
if (radlen > 1.e-5 && radlen < 1.e10) {
rad += snext/(radlen*10);
}
}
propagatedDistance += snext;
}
return rad;
}
//--------------------------------------------------------------------------------------------------
void Camera::updatePickLines()
{
// Now draw lines from the pick points
double halfVerticalAngle = 0.5*Utilities::degToRad( mpVtkCamera->GetViewAngle() );
double verticalLength = tan( halfVerticalAngle );
double horizontalLength = verticalLength*(mImageWidth/mImageHeight);
Eigen::Vector3d cameraPos;
Eigen::Vector3d cameraAxisX;
Eigen::Vector3d cameraAxisY;
Eigen::Vector3d cameraAxisZ;
mpVtkCamera->GetPosition( cameraPos[ 0 ], cameraPos[ 1 ], cameraPos[ 2 ] );
mpVtkCamera->GetDirectionOfProjection( cameraAxisZ[ 0 ], cameraAxisZ[ 1 ], cameraAxisZ[ 2 ] );
mpVtkCamera->GetViewUp( cameraAxisY[ 0 ], cameraAxisY[ 1 ], cameraAxisY[ 2 ] );
cameraAxisX = cameraAxisY.cross( cameraAxisZ );
vtkSmartPointer<vtkPoints> points = vtkSmartPointer<vtkPoints>::New();
vtkSmartPointer<vtkCellArray> lines = vtkSmartPointer<vtkCellArray>::New();
for ( uint32_t pickPointIdx = 0; pickPointIdx < mPickPoints.size(); pickPointIdx++ )
{
const Eigen::Vector2d& p = mPickPoints[ pickPointIdx ];
Eigen::Vector3d startPos = cameraPos;
Eigen::Vector3d rayDir = cameraAxisZ
- p[ 0 ]*horizontalLength*cameraAxisX
- p[ 1 ]*verticalLength*cameraAxisY;
rayDir.normalize();
Eigen::Vector3d endPos = startPos + 2.0*rayDir;
// Create the line
points->InsertNextPoint( startPos.data() );
points->InsertNextPoint( endPos.data() );
vtkSmartPointer<vtkLine> line = vtkSmartPointer<vtkLine>::New();
line->GetPointIds()->SetId( 0, 2*pickPointIdx );
line->GetPointIds()->SetId( 1, 2*pickPointIdx + 1 );
// Store the line
lines->InsertNextCell( line );
}
// Create a polydata to store everything in
vtkSmartPointer<vtkPolyData> linesPolyData = vtkSmartPointer<vtkPolyData>::New();
// Add the points and lines to the dataset
linesPolyData->SetPoints( points );
linesPolyData->SetLines( lines );
mpPickLinesMapper->SetInput( linesPolyData );
}
void randomUnitSphere(Eigen::Vector3d &sp) {
static boost::random::mt19937 rng(time(NULL));
static boost::random::normal_distribution<> normal;
do {
sp(0) = normal(rng);
sp(1) = normal(rng);
sp(2) = normal(rng);
} while (sp.norm() < 0.00001);
sp.normalize();
}
Eigen::Vector3d HoleFinder::getRandomPoint()
{
Q_D(HoleFinder);
// Randomly select a hole
const Hole &hole = d->getRandomHole();
// Trim the radius of the sphere by 1.5 units. If the sphere is smaller than
// 1.5 units, trim it to 0.5 units.
const double rmax = (hole.radius >= d->minDist)
? hole.radius - d->minDist : 0.5;
// Randomly select point from uniform distribution around sphere. The radius
// is chosen such that
//
// P(r) [is prop. to] Area(r) = 4*pi*r^2, or
// P(r) = N * 4*pi*r^2
//
// We want P(r) to lie between [0,1] and r to be between [0, rmax].
//
// Lower boundary conditions are trivially satisfied:
//
// P(0) = N * 4*pi*0^2 = 0
//
// Upper boundary conditions:
//
// P(rmax) = 1 = N * 4*pi*rmax^2, or
// N = 1 / (4*pi*rmax^2)
//
// So P(r) simplifies to
//
// P(r) = (1/(4*pi*r^2)) * 4*pi*r^2 = r^2 / (rmax^2)
//
// So we can pick a "p" value from a uniform distribution from [0,1] and
// transform it to a random radius that is uniformly distributed throughout
// the sphere by
const double p = RANDDOUBLE();
const double r = sqrt(p) * rmax;
// A random unit vector representing the displacement:
Eigen::Vector3d displacement (2.0 * RANDDOUBLE() - 1.0,
2.0 * RANDDOUBLE() - 1.0,
2.0 * RANDDOUBLE() - 1.0);
displacement.normalize();
// Put the two together
displacement *= r;
// Shift by the hole's origin
const Eigen::Vector3d ret (hole.center + displacement);
// Ta-da!
return ret;
}
SpotLightParameterEstimationClass::InputForExponentCalculation* SpotLightParameterEstimationClass::GetSpotLightExponentInputParameters() {
if (_inputSetter != nullptr) {
return _inputSetter;
}
const LightEntityClass& light = _lightSystem->GetCurrentLight();
double materialAlbedo = 0.5;
// Light
double lightIntensity = _lightSystem->GetCurrentLightIntensity();
Eigen::Vector3d lightDirection = -light.GetDirectionVector();
lightDirection.normalize();
Eigen::Vector3d lightPosition = light.GetPosition();
double innerconeangle = light.GetSpotLightInnerConeAngle() * M_PI / 180;
double outerconeangle = light.GetSpotLightOuterConeAngle() * M_PI / 180;
double gammaCorrection = light.GetGammaCorrection();
double cosOfInnerConeAngle = cos(innerconeangle);
double cosOfOuterConeAngle = cos(outerconeangle);
// Geometry
const GeometryEntityClass& geometryEntity = _geometrySystem->GetCurrentGeometry();
// Point3D<double> vertex = geometryEntity.GetAVertex();
std::vector<Eigen::Vector3d> vertexNormals = geometryEntity.GetVertexNormals();
Eigen::Vector3d vnormal = vertexNormals[0];
vnormal.normalize();
// Image
_imageWidth = (int)_imageSystem->GetCurrentImageWidth();
_imageHeight = (int)_imageSystem->GetCurrentImageHeight();
ReprojectionClass* reprojectionClass = new ReprojectionClass();
std::vector<MapOFImageAndWorldPoints>reprojectedPoints;
// Uncomment this if we are going to pass in Array<RGBA> of the pixels that we obtained from the circumference of the illumination
//reprojectedPoints = reprojectionClass->ReprojectImagePixelsTo3DGeometry((_imageSystem->GetCurrentImage()).GetImage2DArrayPixels());
reprojectedPoints = reprojectionClass->ReprojectImagePixelsTo3DGeometry();
_inputSetter = new InputForExponentCalculation(_imageWidth, _imageHeight, lightIntensity, lightDirection, lightPosition, gammaCorrection,vnormal, cosOfInnerConeAngle, cosOfOuterConeAngle, materialAlbedo, reprojectedPoints);
delete reprojectionClass;
return _inputSetter;
}
double Model::translateRandom(double maxTranslation, double minTranslation)
{
std::uniform_real_distribution<double> rand_double_min_max(minTranslation, maxTranslation);
double translation = rand_double_min_max(m_random);
Eigen::Vector3d translationVec = Eigen::Vector3d::Random();
translationVec.normalize();
translationVec *= translation;
for(unsigned int i = 0; i < m_pMesh->vertices().size(); i++)
m_pMesh->vertices()[i].translate(translationVec[0], translationVec[1], translationVec[2]);
analyzeMesh();
return translation;
}
Eigen::Vector4d Face::plane() const
{
Eigen::Vector3d a = he->vertex->position;
Eigen::Vector3d n = normal();
n.normalize();
Eigen::Vector4d p;
p << n.x(), n.y(), n.z(), -n.dot(a);
return p;
}
void Model::compute_NORMALS()
{
///////////////////////////////////////////////////////
///////////////////////////////////////////////////////
mesh.normals_Vertices. fill( Eigen::Vector3d::Zero() );
///////////////////////////////////////////////////////
///////////////////////////////////////////////////////
for (int tr=0; tr<totalTriangles; tr++)
{
int vertexIndex_1 = mesh.triangles[tr].vertexID_1;
int vertexIndex_2 = mesh.triangles[tr].vertexID_2;
int vertexIndex_3 = mesh.triangles[tr].vertexID_3;
Eigen::Vector3d VertexA;
Eigen::Vector3d VertexB;
Eigen::Vector3d VertexC;
Eigen::Vector3d vect_1;
Eigen::Vector3d vect_2;
Eigen::Vector3d currNormal;
VertexA << mesh.verticesWeighted[vertexIndex_1]; // 0
VertexB << mesh.verticesWeighted[vertexIndex_2]; // 1
VertexC << mesh.verticesWeighted[vertexIndex_3]; // 2
vect_1 = VertexB - VertexA; // 1 - 0
vect_2 = VertexC - VertexA; // 2 - 0
currNormal = vect_1.cross(vect_2);
currNormal.normalize();
/////////////////////////////////////////////////////
mesh.normals_Vertices[ vertexIndex_1 ] += currNormal;
mesh.normals_Vertices[ vertexIndex_2 ] += currNormal;
mesh.normals_Vertices[ vertexIndex_3 ] += currNormal;
/////////////////////////////////////////////////////
}
///////////////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////////////
for (int vvv=0; vvv< totalVertices; vvv++) mesh.normals_Vertices[vvv].normalize();
///////////////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////////////
}
void TetrahedralMesh::computeFaceNormals(){
std::vector<Eigen::Vector3d> tri(3);
std::vector<Eigen::Vector3d> normals(4);
face_normals_.resize(tets_.size());
for(int i=0; i<(int)tets_.size(); i++){
for(int j=0; j<4; j++){
tri[0] = points_[tets_[i][faces[j][0]]];
tri[1] = points_[tets_[i][faces[j][1]]];
tri[2] = points_[tets_[i][faces[j][2]]];
Eigen::Vector3d n = (tri[1]-tri[0]).cross(tri[2]-tri[0]);
n.normalize();
normals[j] = n;
}
face_normals_[i] = normals;
}
}
Eigen::Matrix3d MutualPoseEstimation::vrrotvec2mat(double p, Eigen::Vector3d r){
double s = sin(p);
double c = cos(p);
double t = 1 - c;
r.normalize();
Eigen::Vector3d n = r;
double x = n[0];
double y = n[1];
double z = n[2];
Eigen::Matrix3d m(3,3);
m(0,0) = t*x*x + c; m(0,1) = t*x*y - s*z; m(0,2) = t*x*z + s*y;
m(1,0) = t*x*y + s*z; m(1,1) = t*y*y + c; m(1,2) = t*y*z - s*x;
m(2,0) = t*x*z - s*y; m(2,1) = t*y*z + s*x; m(2,2) = t*z*z + c;
return m;
}
bool
pcl::EnsensoGrabber::setExtrinsicCalibration (const double euler_angle,
Eigen::Vector3d &rotation_axis,
const Eigen::Vector3d &translation,
const std::string target)
{
if (!device_open_)
return (false);
if (rotation_axis != Eigen::Vector3d (0, 0, 0)) // Otherwise the vector becomes NaN
rotation_axis.normalize ();
try
{
NxLibItem calibParams = camera_[itmLink];
calibParams[itmTarget].set (target);
calibParams[itmRotation][itmAngle].set (euler_angle);
/* FIXME: Bug in Ensenso API: http://ensenso.de/manual/index.html?about.htm see version 1.2.125
The re-normalisation is still not working proprely, when it does, use this code rather than the workaround
calibParams[itmRotation][itmAxis][0].set (rotation_axis[0]);
calibParams[itmRotation][itmAxis][1].set (rotation_axis[1]);
calibParams[itmRotation][itmAxis][2].set (rotation_axis[2]);
*/
// Workaround
std::string axis_x, axis_y, axis_z;
axis_x = boost::lexical_cast<std::string> (rotation_axis[0]);
axis_y = boost::lexical_cast<std::string> (rotation_axis[1]);
axis_z = boost::lexical_cast<std::string> (rotation_axis[2]);
calibParams[itmRotation][itmAxis][0].setJson (axis_x);
calibParams[itmRotation][itmAxis][1].setJson (axis_y);
calibParams[itmRotation][itmAxis][2].setJson (axis_z);
// End of workaround
calibParams[itmTranslation][0].set (translation[0] * 1000.0); // Convert in millimeters
calibParams[itmTranslation][1].set (translation[1] * 1000.0);
calibParams[itmTranslation][2].set (translation[2] * 1000.0);
}
catch (NxLibException &ex)
{
ensensoExceptionHandling (ex, "setExtrinsicCalibration");
return (false);
}
return (true);
}
std::vector<edge*> surface::getTrailingEdges()
{
if (!LSflag)
{
std::vector<edge*> empty;
return empty;
}
else if (trailingEdges.size() > 0)
{
return trailingEdges;
}
edge* TE;
for (int i=0; i<panels.size(); i++)
{
if (panels[i]->isTEpanel())
{
TE = panels[i]->getTrailingEdge();
trailingEdges.push_back(TE);
}
}
// Sort edges so that the streamlines can start tracing at one side of surface and progress, keeping track of neighboring streamlines.
Eigen::Vector3d vec;
vec = trailingEdges[0]->getVector();
vec.normalize();
if (vec(1) >= 0.01)
{
// Sort by Y direction (edges are primarily lateral)
std::sort(trailingEdges.begin(), trailingEdges.end(), [](edge* e1,edge* e2) {return e1->getMidPoint()(1) < e2->getMidPoint()(1);});
}
else if (vec(1) < 0.01 && vec(2) >= 0.01)
{
// Sort by Z direction (edges are primarily vertical)
std::sort(trailingEdges.begin(), trailingEdges.end(), [](edge* e1,edge* e2) {return e1->getMidPoint()(2) < e2->getMidPoint()(2);});
}
else
{
// Sort by X direction (edges are primarily streamwise)
std::sort(trailingEdges.begin(), trailingEdges.end(), [](edge* e1,edge* e2) {return e1->getMidPoint()(2) < e2->getMidPoint()(2);});
}
return trailingEdges;
}
/*! Returns off-diagonal elements of the matrix representation of the double layer operator by collocation
* \param[in] elements list of finite elements
* \param[in] kernD function for the evaluation of the off-diagonal of D
*/
Eigen::MatrixXd offDiagonalD(const std::vector<Element> & elements,
const integrator::KernelD & kernD) const
{
size_t mat_size = elements.size();
Eigen::MatrixXd D = Eigen::MatrixXd::Zero(mat_size, mat_size);
for (size_t i = 0; i < mat_size; ++i) {
Eigen::Vector3d source = elements[i].center();
for (size_t j = 0; j < mat_size; ++j) {
// Fill off-diagonal
Eigen::Vector3d probe = elements[j].center();
Eigen::Vector3d probeNormal = elements[j].normal();
probeNormal.normalize();
if (i != j) D(i, j) = kernD(probeNormal, source, probe);
}
}
return D;
}
/*! Returns matrix representation of the double layer operator by collocation
* \param[in] elements list of finite elements
* \param[in] diagD functor for the evaluation of the diagonal of D
* \param[in] kernD function for the evaluation of the off-diagonal of D
*/
inline Eigen::MatrixXd doubleLayer(const std::vector<Element> & elements,
const Diagonal & diagD, const KernelD & kernD)
{
size_t mat_size = elements.size();
Eigen::MatrixXd D = Eigen::MatrixXd::Zero(mat_size, mat_size);
for (size_t i = 0; i < mat_size; ++i) {
// Fill diagonal
D(i, i) = diagD(elements[i]);
Eigen::Vector3d source = elements[i].center();
for (size_t j = 0; j < mat_size; ++j) {
// Fill off-diagonal
Eigen::Vector3d probe = elements[j].center();
Eigen::Vector3d probeNormal = elements[j].normal();
probeNormal.normalize();
if (i != j) D(i, j) = kernD(probeNormal, source, probe);
}
}
return D;
}
void NuTo::CollidableWallBase::VisualizationStatic(NuTo::Visualize::UnstructuredGrid& rVisualizer) const
{
double size = 1.;
if (*mBoxes.begin() == mOutsideBox)
size = 2.;
Eigen::Matrix<double, 4, 3> corners;
// get some vector != mDirection
Eigen::Vector3d random;
random << 1, 0, 0;
if (std::abs(random.dot(mDirection)) == 1)
{
random << 0, 1, 0;
}
Eigen::Vector3d transversal = random.cross(mDirection);
Eigen::Vector3d transversal2 = transversal.cross(mDirection);
// normalize to size/2;
transversal.normalize();
transversal2.normalize();
transversal *= size / 2;
transversal2 *= size / 2;
corners.row(0) = (mPosition + transversal + transversal2).transpose();
corners.row(1) = (mPosition + transversal - transversal2).transpose();
corners.row(2) = (mPosition - transversal - transversal2).transpose();
corners.row(3) = (mPosition - transversal + transversal2).transpose();
std::vector<int> cornerIndex(4);
for (int i = 0; i < 4; ++i)
{
cornerIndex[i] = rVisualizer.AddPoint(corners.row(i));
}
int insertIndex = rVisualizer.AddCell(cornerIndex, eCellTypes::QUAD);
rVisualizer.SetCellData(insertIndex, "Direction", mDirection);
}
void draw()
{
glBegin(GL_LINES);
for (EdgeCIter e = mesh.edges.begin(); e != mesh.edges.end(); e++) {
int s = 3;
Eigen::Vector3d v = e->he->vertex->position;
Eigen::Vector3d u = e->he->flip->vertex->position - v;
u.normalize();
double dl = e->length() / (double)s;
double c = 0.0;
double c2 = 0.0;
if (curvature == 0) {
c = e->he->vertex->gaussCurvature;
c2 = e->he->flip->vertex->gaussCurvature;
} else if (curvature == 1) {
c = e->he->vertex->meanCurvature;
c2 = e->he->flip->vertex->meanCurvature;
} else {
c = normalCurvatures[e->he->vertex->index];
c2 = normalCurvatures[e->he->flip->vertex->index];
}
double dc = (c2 - c) / (double)s;
for (int i = 0; i < s; i++) {
if (c < 0) glColor4f(0.0, 0.0, fabs(c), 0.6);
else glColor4f(c, 0.0, 0.0, 0.6);
glVertex3d(v.x(), v.y(), v.z());
c += dc;
if (c < 0) glColor4f(0.0, 0.0, fabs(c), 0.6);
else glColor4f(c, 0.0, 0.0, 0.6);
v += u * dl;
glVertex3d(v.x(), v.y(), v.z());
}
}
glEnd();
}
Eigen::Vector3d Circuit::GetField(const Eigen::Vector3d& point) {
double segmentLength = 2.0*NXGR_PI*m_radius/m_segments;
double segmentCoeff = PERMIABILITY_OVER_4PI*segmentLength*m_current;
Eigen::Vector3d B(0.0);
Eigen::Vector3d pos(0.0, 0.0, 0.0);
Eigen::Vector3d up(0.0, 0.0, 1.0);
double angle = 0.0;
double angleInc = 2.0*NXGR_PI/m_segments;
for(int i=0; i<m_segments; i++) {
pos[0] = m_radius*cos(angle);
pos[1] = m_radius*sin(angle);
Eigen::Vector3d flow = pos.cross(up);
flow.normalize();
Eigen::Vector3d segmentB = GetFieldFromPoint(point, pos, flow, segmentCoeff);
B.array() += segmentB.array();
angle += angleInc;
}
return B;
}