IGL_INLINE void igl::embree::ambient_occlusion(
const Eigen::PlainObjectBase<DerivedV> & V,
const Eigen::PlainObjectBase<DerivedF> & F,
const Eigen::PlainObjectBase<DerivedP> & P,
const Eigen::PlainObjectBase<DerivedN> & N,
const int num_samples,
Eigen::PlainObjectBase<DerivedS> & S)
{
using namespace igl;
using namespace Eigen;
EmbreeIntersector ei;
ei.init(V.template cast<float>(),F.template cast<int>());
ambient_occlusion(ei,P,N,num_samples,S);
}
IGL_INLINE void igl::embree::bone_visible(
const Eigen::PlainObjectBase<DerivedV> & V,
const Eigen::PlainObjectBase<DerivedF> & F,
const Eigen::PlainObjectBase<DerivedSD> & s,
const Eigen::PlainObjectBase<DerivedSD> & d,
Eigen::PlainObjectBase<Derivedflag> & flag)
{
// "double sided lighting"
Eigen::PlainObjectBase<DerivedF> FF;
FF.resize(F.rows()*2,F.cols());
FF << F, F.rowwise().reverse();
// Initialize intersector
EmbreeIntersector ei;
ei.init(V.template cast<float>(),FF.template cast<int>());
return bone_visible(V,F,ei,s,d,flag);
}
IGL_INLINE int igl::embree::unproject_in_mesh(
const Eigen::Vector2f& pos,
const Eigen::Matrix4f& model,
const Eigen::Matrix4f& proj,
const Eigen::Vector4f& viewport,
const EmbreeIntersector & ei,
Eigen::PlainObjectBase<Derivedobj> & obj,
std::vector<igl::embree::Hit > & hits)
{
using namespace igl;
using namespace std;
using namespace Eigen;
// Source and direction on screen
Vector3f win_s(pos(0),pos(1),0);
Vector3f win_d(pos(0),pos(1),1);
// Source, destination and direction in world
Vector3f s,d,dir;
s = igl::unproject(win_s,model,proj,viewport);
d = igl::unproject(win_d,model,proj,viewport);
dir = d-s;
// Shoot ray, collect all hits (could just collect first two)
int num_rays_shot;
hits.clear();
ei.intersectRay(s,dir,hits,num_rays_shot);
switch(hits.size())
{
case 0:
break;
case 1:
{
obj = (s + dir*hits[0].t).cast<typename Derivedobj::Scalar>();
break;
}
case 2:
default:
{
obj = 0.5*((s + dir*hits[0].t) + (s + dir*hits[1].t)).cast<typename Derivedobj::Scalar>();
break;
}
}
return hits.size();
}
IGL_INLINE void igl::reorient_facets_raycast(
const Eigen::PlainObjectBase<DerivedV> & V,
const Eigen::PlainObjectBase<DerivedF> & F,
int rays_total,
int rays_minimum,
bool facet_wise,
bool use_parity,
bool is_verbose,
Eigen::PlainObjectBase<DerivedI> & I,
Eigen::PlainObjectBase<DerivedC> & C)
{
using namespace Eigen;
using namespace std;
assert(F.cols() == 3);
assert(V.cols() == 3);
// number of faces
const int m = F.rows();
MatrixXi FF = F;
if (facet_wise) {
C.resize(m);
for (int i = 0; i < m; ++i) C(i) = i;
} else {
if (is_verbose) cout << "extracting patches... ";
bfs_orient(F,FF,C);
}
if (is_verbose) cout << (C.maxCoeff() + 1) << " components. ";
// number of patches
const int num_cc = C.maxCoeff()+1;
// Init Embree
EmbreeIntersector ei;
ei.init(V.template cast<float>(),FF);
// face normal
MatrixXd N;
per_face_normals(V,FF,N);
// face area
Matrix<typename DerivedV::Scalar,Dynamic,1> A;
doublearea(V,FF,A);
double area_total = A.sum();
// determine number of rays per component according to its area
VectorXd area_per_component;
area_per_component.setZero(num_cc);
for (int f = 0; f < m; ++f)
{
area_per_component(C(f)) += A(f);
}
VectorXi num_rays_per_component(num_cc);
for (int c = 0; c < num_cc; ++c)
{
num_rays_per_component(c) = max<int>(static_cast<int>(rays_total * area_per_component(c) / area_total), rays_minimum);
}
rays_total = num_rays_per_component.sum();
// generate all the rays
if (is_verbose) cout << "generating rays... ";
uniform_real_distribution<float> rdist;
mt19937 prng;
prng.seed(time(nullptr));
vector<int > ray_face;
vector<Vector3f> ray_ori;
vector<Vector3f> ray_dir;
ray_face.reserve(rays_total);
ray_ori .reserve(rays_total);
ray_dir .reserve(rays_total);
for (int c = 0; c < num_cc; ++c)
{
if (area_per_component[c] == 0)
{
continue;
}
vector<int> CF; // set of faces per component
vector<double> CF_area;
for (int f = 0; f < m; ++f)
{
if (C(f)==c)
{
CF.push_back(f);
CF_area.push_back(A(f));
}
}
// discrete distribution for random selection of faces with probability proportional to their areas
discrete_distribution<int> ddist(CF.size(), 0, CF.size(), [&](double i){ return CF_area[static_cast<int>(i)]; }); // simple ctor of (Iter, Iter) not provided by the stupid VC11/12
for (int i = 0; i < num_rays_per_component[c]; ++i)
{
int f = CF[ddist(prng)]; // select face with probability proportional to face area
float s = rdist(prng); // random barycentric coordinate (reference: Generating Random Points in Triangles [Turk, Graphics Gems I 1990])
float t = rdist(prng);
float sqrt_t = sqrtf(t);
float a = 1 - sqrt_t;
float b = (1 - s) * sqrt_t;
float c = s * sqrt_t;
Vector3f p = a * V.row(FF(f,0)).template cast<float>().eval() // be careful with the index!!!
+ b * V.row(FF(f,1)).template cast<float>().eval()
+ c * V.row(FF(f,2)).template cast<float>().eval();
Vector3f n = N.row(f).cast<float>();
if (n.isZero()) continue;
// random direction in hemisphere around n (avoid too grazing angle)
Vector3f d;
while (true) {
d = random_dir().cast<float>();
float ndotd = n.dot(d);
if (fabsf(ndotd) < 0.1f)
{
continue;
}
if (ndotd < 0)
{
d *= -1.0f;
}
break;
}
ray_face.push_back(f);
ray_ori .push_back(p);
ray_dir .push_back(d);
if (is_verbose && ray_face.size() % (rays_total / 10) == 0) cout << ".";
}
}
if (is_verbose) cout << ray_face.size() << " rays. ";
// per component voting: first=front, second=back
vector<pair<float, float>> C_vote_distance(num_cc, make_pair(0, 0)); // sum of distance between ray origin and intersection
vector<pair<int , int >> C_vote_infinity(num_cc, make_pair(0, 0)); // number of rays reaching infinity
vector<pair<int , int >> C_vote_parity(num_cc, make_pair(0, 0)); // sum of parity count for each ray
if (is_verbose) cout << "shooting rays... ";
#pragma omp parallel for
for (int i = 0; i < (int)ray_face.size(); ++i)
{
int f = ray_face[i];
Vector3f o = ray_ori [i];
Vector3f d = ray_dir [i];
int c = C(f);
// shoot ray toward front & back
vector<Hit> hits_front;
vector<Hit> hits_back;
int num_rays_front;
int num_rays_back;
ei.intersectRay(o, d, hits_front, num_rays_front);
ei.intersectRay(o, -d, hits_back , num_rays_back );
if (!hits_front.empty() && hits_front[0].id == f) hits_front.erase(hits_front.begin());
if (!hits_back .empty() && hits_back [0].id == f) hits_back .erase(hits_back .begin());
if (use_parity) {
#pragma omp atomic
C_vote_parity[c].first += hits_front.size() % 2;
#pragma omp atomic
C_vote_parity[c].second += hits_back .size() % 2;
} else {
if (hits_front.empty())
{
#pragma omp atomic
C_vote_infinity[c].first++;
} else {
#pragma omp atomic
C_vote_distance[c].first += hits_front[0].t;
}
if (hits_back.empty())
{
#pragma omp atomic
C_vote_infinity[c].second++;
} else {
#pragma omp atomic
C_vote_distance[c].second += hits_back[0].t;
}
}
}
I.resize(m);
for(int f = 0; f < m; ++f)
{
int c = C(f);
if (use_parity) {
I(f) = C_vote_parity[c].first > C_vote_parity[c].second ? 1 : 0; // Ideally, parity for the front/back side should be 1/0 (i.e., parity sum for all rays should be smaller on the front side)
} else {
I(f) = (C_vote_infinity[c].first == C_vote_infinity[c].second && C_vote_distance[c].first < C_vote_distance[c].second) ||
C_vote_infinity[c].first < C_vote_infinity[c].second
? 1 : 0;
}
// To account for the effect of bfs_orient
if (F.row(f) != FF.row(f))
I(f) = 1 - I(f);
}
if (is_verbose) cout << "done!" << endl;
}
IGL_INLINE void igl::embree::bone_visible(
const Eigen::PlainObjectBase<DerivedV> & V,
const Eigen::PlainObjectBase<DerivedF> & F,
const EmbreeIntersector & ei,
const Eigen::PlainObjectBase<DerivedSD> & s,
const Eigen::PlainObjectBase<DerivedSD> & d,
Eigen::PlainObjectBase<Derivedflag> & flag)
{
using namespace std;
using namespace Eigen;
flag.resize(V.rows());
const double sd_norm = (s-d).norm();
// Embree seems to be parallel when constructing but not when tracing rays
#pragma omp parallel for
// loop over mesh vertices
for(int v = 0;v<V.rows();v++)
{
const Vector3d Vv = V.row(v);
// Project vertex v onto line segment sd
//embree.intersectSegment
double t,sqrd;
Vector3d projv;
// degenerate bone, just snap to s
if(sd_norm < DOUBLE_EPS)
{
t = 0;
sqrd = (Vv-s).array().pow(2).sum();
projv = s;
}else
{
// project onto (infinite) line
project_to_line(
Vv(0),Vv(1),Vv(2),s(0),s(1),s(2),d(0),d(1),d(2),
projv(0),projv(1),projv(2),t,sqrd);
// handle projections past endpoints
if(t<0)
{
t = 0;
sqrd = (Vv-s).array().pow(2).sum();
projv = s;
} else if(t>1)
{
t = 1;
sqrd = (Vv-d).array().pow(2).sum();
projv = d;
}
}
igl::Hit hit;
// perhaps 1.0 should be 1.0-epsilon, or actually since we checking the
// incident face, perhaps 1.0 should be 1.0+eps
const Vector3d dir = (Vv-projv)*1.0;
if(ei.intersectSegment(
projv.template cast<float>(),
dir.template cast<float>(),
hit))
{
// mod for double sided lighting
const int fi = hit.id % F.rows();
//if(v == 1228-1)
//{
// Vector3d bc,P;
// bc << 1 - hit.u - hit.v, hit.u, hit.v; // barycentric
// P = V.row(F(fi,0))*bc(0) +
// V.row(F(fi,1))*bc(1) +
// V.row(F(fi,2))*bc(2);
// cout<<(fi+1)<<endl;
// cout<<bc.transpose()<<endl;
// cout<<P.transpose()<<endl;
// cout<<hit.t<<endl;
// cout<<(projv + dir*hit.t).transpose()<<endl;
// cout<<Vv.transpose()<<endl;
//}
// Assume hit is valid, so not visible
flag(v) = false;
// loop around corners of triangle
for(int c = 0;c<F.cols();c++)
{
if(F(fi,c) == v)
{
// hit self, so no hits before, so vertex v is visible
flag(v) = true;
break;
}
}
// Hit is actually past v
if(!flag(v) && (hit.t*hit.t*dir.squaredNorm())>sqrd)
{
flag(v) = true;
}
}else
{
// no hit so vectex v is visible
flag(v) = true;
}
}
}
IGL_INLINE ScalarMatrix igl::embree::line_mesh_intersection
(
const ScalarMatrix & V_source,
const ScalarMatrix & N_source,
const ScalarMatrix & V_target,
const IndexMatrix & F_target
)
{
double tol = 0.00001;
Eigen::MatrixXd ray_pos = V_source;
Eigen::MatrixXd ray_dir = N_source;
// Allocate matrix for the result
ScalarMatrix R;
R.resize(V_source.rows(), 3);
// Initialize embree
EmbreeIntersector embree;
embree.init(V_target.template cast<float>(),F_target.template cast<int>());
// Shoot rays from the source to the target
for (unsigned i=0; i<ray_pos.rows(); ++i)
{
igl::Hit A,B;
// Shoot ray A
Eigen::RowVector3d A_pos = ray_pos.row(i) + tol * ray_dir.row(i);
Eigen::RowVector3d A_dir = -ray_dir.row(i);
bool A_hit = embree.intersectBeam(A_pos.cast<float>(), A_dir.cast<float>(),A);
Eigen::RowVector3d B_pos = ray_pos.row(i) - tol * ray_dir.row(i);
Eigen::RowVector3d B_dir = ray_dir.row(i);
bool B_hit = embree.intersectBeam(B_pos.cast<float>(), B_dir.cast<float>(),B);
int choice = -1;
if (A_hit && ! B_hit)
choice = 0;
else if (!A_hit && B_hit)
choice = 1;
else if (A_hit && B_hit)
choice = A.t > B.t;
Eigen::RowVector3d temp;
if (choice == -1)
temp << -1, 0, 0;
else if (choice == 0)
temp << A.id, A.u, A.v;
else if (choice == 1)
temp << B.id, B.u, B.v;
R.row(i) = temp;
}
return R;
}