public static double ComputeVertexDualArea(TriMesh.Vertex v)
{
double sum = 0;
foreach (TriMesh.Face face in v.Faces)
{
sum += TriMeshUtil.ComputeAreaFaceTwo(face);
}
return(sum / 3);
}
protected Vector3D[] ComputeVectorField(DenseMatrixDouble u, TriMesh mesh)
{
Vector3D[] vectors = new Vector3D[mesh.Faces.Count];
foreach (TriMesh.Face f in mesh.Faces)
{
if (f.OnBoundary)
{
continue;
}
TriMesh.HalfEdge hij = f.HalfEdge;
TriMesh.HalfEdge hjk = hij.Next;
TriMesh.HalfEdge hki = hjk.Next;
TriMesh.Vertex vi = hij.FromVertex;
TriMesh.Vertex vj = hjk.FromVertex;
TriMesh.Vertex vk = hki.FromVertex;
double ui = u[vi.Index, 0];
double uj = u[vj.Index, 0];
double uk = u[vk.Index, 0];
Vector3D eijL = RotatedEdge(hij);
Vector3D ejkL = RotatedEdge(hjk);
Vector3D ekiL = RotatedEdge(hki);
double area = TriMeshUtil.ComputeAreaFaceTwo(f);
Vector3D x = 0.5 * (ui * ejkL + uj * ekiL + uk * eijL) / area;
vectors[f.Index] = -x.Normalize();
}
return(vectors);
}