public void Initialize()
{
ToMeshV = new int[Mesh.MaxVertexID];
ToIndex = new int[Mesh.MaxVertexID];
N = 0;
foreach (int vid in Mesh.VertexIndices())
{
ToMeshV[N] = vid;
ToIndex[vid] = N;
N++;
}
Px = new double[N];
Py = new double[N];
Pz = new double[N];
nbr_counts = new int[N];
SymmetricSparseMatrix M = new SymmetricSparseMatrix();
for (int i = 0; i < N; ++i)
{
int vid = ToMeshV[i];
Vector3d v = Mesh.GetVertex(vid);
Px[i] = v.x; Py[i] = v.y; Pz[i] = v.z;
nbr_counts[i] = Mesh.GetVtxEdgeCount(vid);
}
// construct laplacian matrix
for (int i = 0; i < N; ++i)
{
int vid = ToMeshV[i];
int n = nbr_counts[i];
double sum_w = 0;
foreach (int nbrvid in Mesh.VtxVerticesItr(vid))
{
int j = ToIndex[nbrvid];
int n2 = nbr_counts[j];
// weight options
//double w = -1;
double w = -1.0 / Math.Sqrt(n + n2);
//double w = -1.0 / n;
M.Set(i, j, w);
sum_w += w;
}
sum_w = -sum_w;
// TODO: Investigate: is this ia bug?
// Source https://github.com/ZelimDamian/geometry3Sharp/commit/7a50d8de10faad762e726e60956acc4bdc5456b5
// makes the following line M.Set(i, i, sum_w);
M.Set(vid, vid, sum_w);
}
// transpose(L) * L, but matrix is symmetric...
if (UseSoftConstraintNormalEquations)
{
//M = M.Multiply(M);
// only works if M is symmetric!!
PackedM = M.SquarePackedParallel();
}
else
{
PackedM = new PackedSparseMatrix(M);
}
// compute laplacian vectors of initial mesh positions
MLx = new double[N];
MLy = new double[N];
MLz = new double[N];
PackedM.Multiply(Px, MLx);
PackedM.Multiply(Py, MLy);
PackedM.Multiply(Pz, MLz);
// allocate memory for internal buffers
Preconditioner = new DiagonalMatrix(N);
WeightsM = new DiagonalMatrix(N);
Cx = new double[N]; Cy = new double[N]; Cz = new double[N];
Bx = new double[N]; By = new double[N]; Bz = new double[N];
Sx = new double[N]; Sy = new double[N]; Sz = new double[N];
need_solve_update = true;
UpdateForSolve();
}
public void Initialize()
{
ToMeshV = new int[Mesh.MaxVertexID];
ToIndex = new int[Mesh.MaxVertexID];
N = 0;
foreach (int vid in Mesh.VertexIndices())
{
ToMeshV[N] = vid;
ToIndex[vid] = N;
N++;
}
Px = new double[N];
Py = new double[N];
Pz = new double[N];
nbr_counts = new int[N];
SymmetricSparseMatrix M = new SymmetricSparseMatrix();
for (int i = 0; i < N; ++i)
{
int vid = ToMeshV[i];
Vector3d v = Mesh.GetVertex(vid);
Px[i] = v.x; Py[i] = v.y; Pz[i] = v.z;
nbr_counts[i] = Mesh.GetVtxEdgeCount(vid);
}
// construct laplacian matrix
for (int i = 0; i < N; ++i)
{
int vid = ToMeshV[i];
int n = nbr_counts[i];
double sum_w = 0;
foreach (int nbrvid in Mesh.VtxVerticesItr(vid))
{
int j = ToIndex[nbrvid];
int n2 = nbr_counts[j];
// weight options
//double w = -1;
double w = -1.0 / Math.Sqrt(n + n2);
//double w = -1.0 / n;
M.Set(i, j, w);
sum_w += w;
}
sum_w = -sum_w;
M.Set(vid, vid, sum_w);
}
// transpose(L) * L, but matrix is symmetric...
if (UseSoftConstraintNormalEquations)
{
//M = M.Multiply(M);
// only works if M is symmetric!!
PackedM = M.SquarePackedParallel();
}
else
{
PackedM = new PackedSparseMatrix(M);
}
// compute laplacian vectors of initial mesh positions
MLx = new double[N];
MLy = new double[N];
MLz = new double[N];
PackedM.Multiply(Px, MLx);
PackedM.Multiply(Py, MLy);
PackedM.Multiply(Pz, MLz);
// zero out...this is the smoothing bit!
for (int i = 0; i < Px.Length; ++i)
{
MLx[i] = 0;
MLy[i] = 0;
MLz[i] = 0;
}
// allocate memory for internal buffers
Preconditioner = new DiagonalMatrix(N);
WeightsM = new DiagonalMatrix(N);
Cx = new double[N]; Cy = new double[N]; Cz = new double[N];
Bx = new double[N]; By = new double[N]; Bz = new double[N];
Sx = new double[N]; Sy = new double[N]; Sz = new double[N];
need_solve_update = true;
UpdateForSolve();
}
public void Initialize()
{
int NV = Curve.VertexCount;
ToCurveV = new int[NV];
ToIndex = new int[NV];
N = 0;
for (int k = 0; k < NV; k++)
{
int vid = k;
ToCurveV[N] = vid;
ToIndex[vid] = N;
N++;
}
Px = new double[N];
Py = new double[N];
Pz = new double[N];
nbr_counts = new int[N];
SymmetricSparseMatrix M = new SymmetricSparseMatrix();
for (int i = 0; i < N; ++i)
{
int vid = ToCurveV[i];
Vector3d v = Curve.GetVertex(vid);
Px[i] = v.x; Py[i] = v.y; Pz[i] = v.z;
nbr_counts[i] = (i == 0 || i == N - 1) ? 1 : 2;
}
// construct laplacian matrix
for (int i = 0; i < N; ++i)
{
int vid = ToCurveV[i];
int n = nbr_counts[i];
Index2i nbrs = Curve.Neighbours(vid);
double sum_w = 0;
for (int k = 0; k < 2; ++k)
{
int nbrvid = nbrs[k];
if (nbrvid == -1)
{
continue;
}
int j = ToIndex[nbrvid];
int n2 = nbr_counts[j];
// weight options
double w = -1;
//double w = -1.0 / Math.Sqrt(n + n2);
//double w = -1.0 / n;
M.Set(i, j, w);
sum_w += w;
}
sum_w = -sum_w;
M.Set(vid, vid, sum_w);
}
// transpose(L) * L, but matrix is symmetric...
if (UseSoftConstraintNormalEquations)
{
//M = M.Multiply(M);
// only works if M is symmetric!!
PackedM = M.SquarePackedParallel();
}
else
{
PackedM = new PackedSparseMatrix(M);
}
// compute laplacian vectors of initial mesh positions
MLx = new double[N];
MLy = new double[N];
MLz = new double[N];
PackedM.Multiply(Px, MLx);
PackedM.Multiply(Py, MLy);
PackedM.Multiply(Pz, MLz);
// allocate memory for internal buffers
Preconditioner = new DiagonalMatrix(N);
WeightsM = new DiagonalMatrix(N);
Cx = new double[N]; Cy = new double[N]; Cz = new double[N];
Bx = new double[N]; By = new double[N]; Bz = new double[N];
Sx = new double[N]; Sy = new double[N]; Sz = new double[N];
need_solve_update = true;
UpdateForSolve();
}