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add area relaxing method:

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not yet working
This commit is contained in:
lo
2018-02-27 21:08:00 +01:00
committed by wmayer
parent 8188705821
commit 08b329c9b5
2 changed files with 69 additions and 4 deletions
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68
src/Mod/MeshPart/App/MeshFlatteningLscmRelax.cpp
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@@ -294,8 +294,72 @@ void LscmRelax::relax(double weight)
void LscmRelax::area_relax(double weight)
{
// 1. create system of equation
// 2. minimize lsq error
// TODO: doesn't work so far
std::vector<trip> K_g_triplets;
spMat K_g(this->vertices.cols() * 2 + 3, this->vertices.cols() * 2 + 3);
spMat K_g_lsq(this->triangles.cols(), this->vertices.cols() * 2 + 3);
Eigen::VectorXd rhs_lsq(this->triangles.cols());
Eigen::VectorXd rhs(this->vertices.cols() * 2 + 3);
rhs.setZero();
Eigen::Matrix<double, 1, 6> B;
double delta_a;
Vector2 v1, v2, v3, v12, v23, v31;
for (long i=0; i<this->triangles.cols(); i++)
{
// 1: construct B-mat in m-system
v1 = this->flat_vertices.col(this->triangles(0, i));
v2 = this->flat_vertices.col(this->triangles(1, i));
v3 = this->flat_vertices.col(this->triangles(2, i));
v12 = v2 - v1;
v23 = v3 - v2;
v31 = v1 - v3;
B << -v23.y(), v23.x(), -v31.y(), v31.x(), -v12.y(), v12.x();
delta_a = fabs(this->q_l_g(i, 0) * this->q_l_g(i, 2)) -
fabs(this->q_l_m(i, 0) * this->q_l_m(i, 2));
rhs_lsq[i] = delta_a * 0.1;
std::array<int, 6> range_6 {0, 1, 2, 3, 4, 5};
std::array<long, 6> indices;
for (int index=0; index<3; index++)
{
indices[index * 2] = this->triangles(index, i) * 2;
indices[index * 2 + 1] = this->triangles(index, i) * 2 + 1;
}
for(auto col: range_6)
{
K_g_triplets.push_back(trip(i, indices[col], (double) B[col]));
}
}
K_g_lsq.setFromTriplets(K_g_triplets.begin(), K_g_triplets.end());
K_g_triplets.clear();
for (long i=0; i < this->flat_vertices.cols() ; i++)
{
// fixing total ux
K_g_triplets.push_back(trip(i * 2, this->flat_vertices.cols() * 2, 1));
K_g_triplets.push_back(trip(this->flat_vertices.cols() * 2, i * 2, 1));
// fixing total uy
K_g_triplets.push_back(trip(i * 2 + 1, this->flat_vertices.cols() * 2 + 1, 1));
K_g_triplets.push_back(trip(this->flat_vertices.cols() * 2 + 1, i * 2 + 1, 1));
// fixing ux*y-uy*x
K_g_triplets.push_back(trip(i * 2, this->flat_vertices.cols() * 2 + 2, - this->flat_vertices(1, i)));
K_g_triplets.push_back(trip(this->flat_vertices.cols() * 2 + 2, i * 2, - this->flat_vertices(1, i)));
K_g_triplets.push_back(trip(i * 2 + 1, this->flat_vertices.cols() * 2 + 2, this->flat_vertices(0, i)));
K_g_triplets.push_back(trip(this->flat_vertices.cols() * 2 + 2, i * 2 + 1, this->flat_vertices(0, i)));
}
K_g.setFromTriplets(K_g_triplets.begin(), K_g_triplets.end());
K_g += K_g_lsq.transpose() * K_g_lsq;
rhs = K_g_lsq.transpose() * rhs_lsq;
Eigen::SimplicialLDLT<spMat, Eigen::Lower> solver;
solver.compute(K_g);
this->sol = solver.solve(-rhs);
this->set_shift(this->sol.head(this->vertices.cols() * 2) * weight);
this->set_q_l_m();
}

5
src/Mod/MeshPart/Gui/MeshFlatteningCommand.py
View File

@@ -32,8 +32,9 @@ class CreateFlatMesh(BaseCommand):
flattener = flatmesh.FaceUnwrapper(points, faces)
flattener.findFlatNodes(5, 0.99)
boundaries = flattener.getFlatBoundaryNodes()
print(flattener.ze_nodes)
print(boundaries)
print('number of nodes: {}'.format(len(flattener.ze_nodes)))
print('number of faces: {}'.format(len(flattener.tris)))
wires = []
for edge in boundaries:
pi = Part.makePolygon([App.Vector(*node) for node in edge])