float Acos(OpenMesh::Vec3f vec1, OpenMesh::Vec3f vec2, OpenMesh::Vec3f vec3)
{
float c = vec3.norm();
float b = vec2.norm();
float a = vec1.norm();
float costheta = (a*a + b*b - c*c) / (2 * a * b);
return acos(costheta);
}
Mesh MeshManipulation::smoothLength(Mesh &mesh, int iterations)
{
std::vector<Mesh::Point> cogs;
std::vector<Mesh::Point>::iterator cog_it;
cogs.reserve(mesh.n_vertices());
Mesh::VertexIter vIt, vEnd(mesh.vertices_end());
Mesh::VertexVertexIter vvIt;
OpenMesh::Vec3f newP;
float sum;
for(int i = 0; i < iterations; i++) {
cogs.clear();
for( vIt = mesh.vertices_begin(); vIt != vEnd; ++vIt ) {
newP[0] = newP[1] = newP[2] = sum = 0.0f;
for(vvIt = mesh.vv_iter(*vIt); vvIt.is_valid(); ++vvIt) {
OpenMesh::Vec3f vec = mesh.point(*vvIt) - mesh.point(*vIt);
sum += (1.0f / vec.length());
newP += (vec / vec.length());
}
OpenMesh::Vec3f l = sum * newP;
cogs.push_back(l);
}
float lambda = 0.2f;
Mesh::VertexIter v_it, v_end(mesh.vertices_end());
for (v_it=mesh.vertices_begin(), cog_it=cogs.begin(); v_it!=v_end; ++v_it, ++cog_it){
if ( !mesh.is_boundary( *v_it ) ) {
OpenMesh::Vec3f oldP = mesh.point(*v_it);
OpenMesh::Vec3f L = *cog_it;
OpenMesh::Vec3f P = oldP + lambda * L;
mesh.set_point( *v_it, P );
}
}
}
return mesh;
}
// https://msdn.microsoft.com/en-us/library/ms182372.aspx -< Profiler
int main(int argc, char **argv)
{
//ann_test();
glutInit(&argc, argv);
ValenceViewer window("Wireframe", 512, 512);
// window.open_mesh("bunny.off");
window.open_mesh("torus(10,3,50).off");
glutMainLoop();
/*
cgal<myPoint> cg;
pointSet<myPoint> ps("pentagram.pts");
cg = ps;
cg.polyStats();
cout<<cg.inside(Point(15,0))<<endl; // yes
cout<<cg.inside(Point(15,0.5))<<endl; // yes
cout<<cg.inside(Point(1,1))<<endl; // yes
cout<<cg.inside(Point(100,100))<<endl; // no
return;
*/
// testMyPolyTriangulation();
/* LightVector<double> angles(7);
angles.fill(0);
// double lens[7] = {3, 6, 8, 10, 4, 9, 2};
double lens[7] = {10, 3, 8, 10, 4, 9, 7};
LightVector<double> edgeLengths(7, lens);
mp.init(angles, edgeLengths);
mp.list();
mp.breakDown(1.618, true); // use the golden ratio, go clockwise
mp.list();
mp.breakDown(1.618, false); // use the golden ratio, go counter-clockwise
mp.list();
mp.head->clear();
mp.head = NULL;
return; */
//tutorial1();
//tutorial2("tetrahedron.off", "tetrahedron2.off",5);
//tutorial1Hu();
// Mat3 m(1,2,3,4,4,6,7,8,9);
// Mat3 m2 = m.inverse();
// cout<<m.determinant()<<endl;
// cout<<m2;
TriMesh mesh2 = createTorus(10, 3, 50);
ring ri(mesh2);
LightVector<TriMesh::VertexHandle> vhv = ri.getRing(TriMesh::VertexHandle(0), 2);
for (unsigned int i= 0; i<vhv.size(); ++i)
{
cout<< vhv[i]<<" ";
}
OpenMesh::IO::write_mesh(mesh2, "torus.off");
mesh2.request_face_normals();
mesh2.request_vertex_normals();
mesh2.update_normals();
TriMesh::VertexHandle vh = TriMesh::VertexHandle(5);
TriMesh::VertexFaceIter vfi = mesh2.vf_iter(vh);
int cc=0;
OpenMesh::Vec3f norm (0, 0, 0), normv;
while (vfi)
{
cout<<"+"<<vfi.handle()<<endl;
norm += mesh2.normal(*vfi);
++cc;
++vfi;
}
double len = norm.length();
if (len != 0)
{
norm *= 1/len;
}
normv = mesh2.normal(vh);
meshVolume(mesh2);
return 0;
TriMesh mesh;
//mesh = createSphere(2.0f,4); OpenMesh::IO::write_mesh(mesh, "tetraSphere.off");
//mesh = createTetra(2); OpenMesh::IO::write_mesh(mesh, "tetra.off"); readmesh(mesh, "tetra.off");
// readmesh(mesh, "sphereholes.off");
readmesh(mesh, "lyukas.off");
// suboptimal, add normals to all faces while we need it only for the 1-ring around the hole
if ( ! mesh.has_face_normals())
mesh.request_face_normals();
// mesh.update_normals();
holeFiller hf(mesh);
hf.findHoles();
hf.displayHoles();
// hf.fill(0);
// Az emberkeben, i.e. readmesh(mesh, "lyukas.off");
// hf.fill(0); // hat
// hf.fill(1); // has
hf.fill(2); // fej
// printOff(mesh, holes[2]);
mesh.release_face_normals(); // always release after request
// closeHole(mesh, holes[1]);
// closeHole(mesh, holes[0]);
// closeHole(mesh, holes[2]);
/* mesh.request_face_normals();
if (mesh.has_vertex_normals() ) mesh.update_vertex_normals();
for (; v_it!=v_end; ++v_it)
this->set_normal(v_it.handle(), calc_vertex_normal(v_it.handle()));
*/
/* readmesh(mesh, "icosahedron.off");
OpenMesh::Vec3f P(-2,0.2,2);
OpenMesh::FaceHandle fh = faceClosestToPoint(mesh,P);
cout<<fh.idx();
extendMesh(mesh, fh, P, true);
OpenMesh::IO::write_mesh(mesh, "ico--.off");
*/
//cout<<"Volume = "<<meshVolume(mesh)<<endl;
// OpenMesh::IO::write_mesh(mesh, "spherevolt.off");
OpenMesh::IO::write_mesh(mesh, "lyukasvolt.off");
} // void main()
//-----------------------------------------------------------------------
//read mesh from file
//-----------------------------------------------------------------------
void OMmodel::OpenMeshReadFile(const char * filename)
{
// request vertex normals, so the mesh reader can use normal information
// if available
mesh.request_vertex_normals();
// request face normals,
mesh.request_face_normals();
//request vertex color
mesh.request_vertex_colors();
// assure we have vertex normals
if (!mesh.has_vertex_normals())
{
std::cerr << "ERROR: Standard vertex property 'Normals' not available!\n";
}
OpenMesh::IO::Options opt;
// read mesh from file
if (!OpenMesh::IO::read_mesh(mesh, filename, opt))
{
std::cerr << "Error: Cannot read mesh from " << filename << std::endl;
}
// If the file did not provide vertex normals, then calculate them
if (!opt.check(OpenMesh::IO::Options::VertexNormal))
{
// let the mesh update the normals
mesh.update_normals();
}
// this vertex property stores the computed mean curvature
OpenMesh::VPropHandleT<double> HCurvature;
mesh.add_property(HCurvature);
//store valence
OpenMesh::VPropHandleT<int> valence;
mesh.add_property(valence);
//store gaussian curvature
OpenMesh::VPropHandleT<double> GCurvature;
mesh.add_property(GCurvature);
//caculate curvature and valence
vector<MyMesh::Point> oneRing;
float maxCur = 0;
float minCur = 0;
float maxGCur = 0;
float minGCur = 0;
int val = 0;
for (MyMesh::VertexIter v_it = mesh.vertices_begin(); v_it != mesh.vertices_end(); ++v_it)
{
oneRing.clear();
for (MyMesh::VertexVertexIter vv_it = mesh.vv_iter(*v_it); vv_it.is_valid(); ++vv_it)
{
++val;
oneRing.push_back(mesh.point(*vv_it));
}
OpenMesh::Vec3f H = OpenMesh::Vec3f(0.0f, 0.0f, 0.0f);
float A = 0;
float Gcurvature = 0;
float Hcurvature = 0;
float theta = 0;
float alpha = 0;
float beta = 0;
float arccosAlpha = 0;
float arccosBeta = 0;
float arccosTheta = 0;
float cotAlpha = 0;
float cotBeta = 0;
for (int i = 0; i < val; ++i)
{
OpenMesh::Vec3f Vvtovi, Vvtovi1, Vvi_1tovi, Vvi_1tov, Vvi1tovi, Vvi1tov, Vvitovi1;
MyMesh::Point PositionV = mesh.point(*v_it);
Vvtovi = oneRing[i] - PositionV;
OpenMesh::Vec3f nVvtovi = Vvtovi.normalized();
if (i == 0)
{
Vvi_1tovi = oneRing[0] - oneRing[val - 1];
Vvi_1tov = PositionV - oneRing[val - 1];
Vvi_1tovi.normalize();
Vvi_1tov.normalize();
}
else
{
Vvi_1tovi = oneRing[i] - oneRing[i - 1];
Vvi_1tov = PositionV - oneRing[i - 1];
Vvi_1tovi.normalize();
Vvi_1tov.normalize();
}
if (i == val - 1)
{
Vvtovi1 = oneRing[0] - PositionV;
Vvi1tovi = oneRing[i] - oneRing[0];
Vvi1tov = PositionV - oneRing[0];
Vvtovi1.normalize();
Vvi1tovi.normalize();
Vvi1tov.normalize();
}
else
{
Vvtovi1 = oneRing[i + 1] - PositionV;
Vvi1tovi = oneRing[i] - oneRing[i + 1];
Vvi1tov = PositionV - oneRing[i + 1];
Vvtovi1.normalize();
Vvi1tovi.normalize();
Vvi1tov.normalize();
}
alpha = dot(Vvi_1tovi, Vvi_1tov);
beta = dot(Vvi1tov, Vvi1tovi);
arccosAlpha = acos(alpha);
arccosBeta = acos(beta);
cotAlpha = cot(arccosAlpha);
cotBeta = cot(arccosBeta);
A += ((cotAlpha + cotBeta) * Vvtovi.sqrnorm());
H += ((cotAlpha + cotBeta) * Vvtovi);
//theta += Acos(Vvtovi, Vvtovi1, Vvi1tovi);
theta = dot(nVvtovi, Vvtovi1);
//debug2 << nVvtovi.sqrnorm()<<" "<<acos(theta) << endl;
arccosTheta += acos(theta);
}
//debug << arccosTheta << " " << H << " " << A << endl;;
A = A / 8.0f;
H = 2.0f * (H / A);
Hcurvature = 0.5f * H.norm();
Gcurvature = ((2.0f * M_PI) - arccosTheta)/ A;
maxCur = max(Hcurvature, maxCur);
minCur = min(Hcurvature, minCur);
if (Gcurvature < 1000000)
maxGCur = max(Gcurvature, maxGCur);
minGCur = min(Gcurvature, minGCur);
mesh.property(valence, *v_it) = val;
mesh.property(HCurvature, *v_it) = Hcurvature;
mesh.property(GCurvature, *v_it) = Gcurvature;
//debug << val << " " << Hcurvature << " " << Gcurvature << endl;
val = 0;
}
//std::cout << 2.0f * M_PI << endl;
//std::cout << maxCur << " " << minCur <<endl;
//std::cout << maxGCur << " " << minGCur << endl;
for (MyMesh::FaceIter f_it = mesh.faces_begin(); f_it != mesh.faces_end(); ++f_it)
{
for (MyMesh::FaceVertexIter fv_it = mesh.fv_iter(*f_it); fv_it.is_valid(); ++fv_it)
{
int value = mesh.property(valence, *fv_it);
if (value <= 4)
{
meshVertexColorBuffer.push_back(OpenMesh::Vec3f(0.0f, 0.0f, 1.0f));
}
if (value >= 5 && value <= 7)
{
meshVertexColorBuffer.push_back(OpenMesh::Vec3f(0.0f, 1.0f, 0.0f));
}
if (value >= 8)
{
meshVertexColorBuffer.push_back(OpenMesh::Vec3f(1.0f, 0.0f, 0.0f));
}
//cout << mesh.property(curvature, *fv_it) << endl;
meshCurColorBuffer.push_back(interporlationColor(maxCur, minCur, mesh.property(HCurvature, *fv_it), 1));
meshGCurColorBuffer.push_back(interporlationColor(maxGCur, minGCur, mesh.property(GCurvature, *fv_it), 10));
meshVertexBuffer.push_back(mesh.point(*fv_it));
meshVertexNormalBuffer.push_back(mesh.normal(*fv_it));
meshFaceNormalBuffer.push_back(mesh.normal(*f_it));
}
}
// don't need the normals anymore? Remove them!
mesh.release_vertex_normals();
// dispose the face normals, as we don't need them anymore
mesh.release_face_normals();
//release color
mesh.release_vertex_colors();
mesh.request_vertex_status();
meshVetexNum = mesh.n_vertices();
mesh.request_face_status();
meshFaceNum = mesh.n_faces();
mesh.request_halfedge_status();
meshHalfEdgeNum = mesh.n_halfedges();
// iterate over all halfedges
for (MyMesh::HalfedgeIter h_it = mesh.halfedges_begin(); h_it != mesh.halfedges_end(); ++h_it)
{
if (!mesh.face_handle(*h_it).is_valid())
{
++meshBoundryEdgeNum;
}
}
mesh.release_face_status();
mesh.release_vertex_status();
mesh.release_halfedge_status();
}
