/// <summary>
/// Remove any unused vertices in mesh, ie vertices with no edges.
/// Returns number of removed vertices.
/// </summary>
public int RemoveUnusedVertices()
{
int nRemoved = 0;
int NV = Mesh.MaxVertexID;
for (int vid = 0; vid < NV; ++vid)
{
if (Mesh.IsVertex(vid) && Mesh.GetVtxEdgeCount(vid) == 0)
{
Mesh.RemoveVertex(vid);
++nRemoved;
}
}
return(nRemoved);
}
public static Vector3d Centroid(DMesh3 mesh, bool bOnlyTriVertices = true)
{
if (bOnlyTriVertices)
{
Vector3d centroid = Vector3d.Zero;
int N = 0;
foreach (int vid in mesh.VertexIndices())
{
if (mesh.GetVtxEdgeCount(vid) > 0)
{
centroid += mesh.GetVertex(vid);
N++;
}
}
return(centroid / (double)N);
}
else
{
return(Centroid(mesh.Vertices()));
}
}
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];
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);
M = M.Square(); // only works if M is symmetric
}
// construct packed version of M matrix
PackedM = new PackedSparseMatrix(M);
// compute laplacian vectors of initial mesh positions
MLx = new double[N];
MLy = new double[N];
MLz = new double[N];
M.Multiply(Px, MLx);
M.Multiply(Py, MLy);
M.Multiply(Pz, MLz);
// zero out...
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];
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;
// 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];
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);
}
// compute laplacian vectors of initial mesh positions
MLx = new double[N];
MLy = new double[N];
MLz = new double[N];
M.Multiply(Px, MLx);
M.Multiply(Py, MLy);
M.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];
UpdateForSolve();
}
protected virtual ProcessResult ProcessEdge(int edgeID)
{
RuntimeDebugCheck(edgeID);
EdgeConstraint constraint =
(constraints == null) ? EdgeConstraint.Unconstrained : constraints.GetEdgeConstraint(edgeID);
if (constraint.NoModifications)
{
return(ProcessResult.Ignored_EdgeIsFullyConstrained);
}
// look up verts and tris for this edge
int a = 0, b = 0, t0 = 0, t1 = 0;
if (mesh.GetEdge(edgeID, ref a, ref b, ref t0, ref t1) == false)
{
return(ProcessResult.Failed_NotAnEdge);
}
bool bIsBoundaryEdge = (t1 == DMesh3.InvalidID);
// look up 'other' verts c (from t0) and d (from t1, if it exists)
Index3i T0tv = mesh.GetTriangle(t0);
int c = IndexUtil.find_tri_other_vtx(a, b, T0tv);
Index3i T1tv = (bIsBoundaryEdge) ? DMesh3.InvalidTriangle : mesh.GetTriangle(t1);
int d = (bIsBoundaryEdge) ? DMesh3.InvalidID : IndexUtil.find_tri_other_vtx(a, b, T1tv);
Vector3d vA = mesh.GetVertex(a);
Vector3d vB = mesh.GetVertex(b);
double edge_len_sqr = (vA - vB).LengthSquared;
begin_collapse();
// check if we should collapse, and also find which vertex we should collapse to,
// in cases where we have constraints/etc
int collapse_to = -1;
bool bCanCollapse = EnableCollapses &&
constraint.CanCollapse &&
edge_len_sqr < MinEdgeLength * MinEdgeLength &&
can_collapse_constraints(edgeID, a, b, c, d, t0, t1, out collapse_to);
// optimization: if edge cd exists, we cannot collapse or flip. look that up here?
// funcs will do it internally...
// (or maybe we can collapse if cd exists? edge-collapse doesn't check for it explicitly...)
// if edge length is too short, we want to collapse it
bool bTriedCollapse = false;
if (bCanCollapse)
{
int iKeep = b, iCollapse = a;
Vector3d vNewPos = (vA + vB) * 0.5;
// if either vtx is fixed, collapse to that position
if (collapse_to == b)
{
vNewPos = vB;
}
else if (collapse_to == a)
{
iKeep = a; iCollapse = b;
vNewPos = vA;
}
else
{
vNewPos = get_projected_collapse_position(iKeep, vNewPos);
}
// TODO be smart about picking b (keep vtx).
// - swap if one is bdry vtx, for example?
// lots of cases where we cannot collapse, but we should just let
// mesh sort that out, right?
COUNT_COLLAPSES++;
DMesh3.EdgeCollapseInfo collapseInfo;
MeshResult result = mesh.CollapseEdge(iKeep, iCollapse, out collapseInfo);
if (result == MeshResult.Ok)
{
mesh.SetVertex(iKeep, vNewPos);
if (constraints != null)
{
constraints.ClearEdgeConstraint(edgeID);
constraints.ClearEdgeConstraint(collapseInfo.eRemoved0);
if (collapseInfo.eRemoved1 != DMesh3.InvalidID)
{
constraints.ClearEdgeConstraint(collapseInfo.eRemoved1);
}
constraints.ClearVertexConstraint(iCollapse);
}
OnEdgeCollapse(edgeID, iKeep, iCollapse, collapseInfo);
DoDebugChecks();
return(ProcessResult.Ok_Collapsed);
}
else
{
bTriedCollapse = true;
}
}
end_collapse();
begin_flip();
// if this is not a boundary edge, maybe we want to flip
bool bTriedFlip = false;
if (EnableFlips && constraint.CanFlip && bIsBoundaryEdge == false)
{
// don't want to flip if it will invert triangle...tetrahedron sign??
// can we do this more efficiently somehow?
bool a_is_boundary_vtx = (MeshIsClosed) ? false : (bIsBoundaryEdge || mesh.vertex_is_boundary(a));
bool b_is_boundary_vtx = (MeshIsClosed) ? false : (bIsBoundaryEdge || mesh.vertex_is_boundary(b));
bool c_is_boundary_vtx = (MeshIsClosed) ? false : mesh.vertex_is_boundary(c);
bool d_is_boundary_vtx = (MeshIsClosed) ? false : mesh.vertex_is_boundary(d);
int valence_a = mesh.GetVtxEdgeCount(a), valence_b = mesh.GetVtxEdgeCount(b);
int valence_c = mesh.GetVtxEdgeCount(c), valence_d = mesh.GetVtxEdgeCount(d);
int valence_a_target = (a_is_boundary_vtx) ? valence_a : 6;
int valence_b_target = (b_is_boundary_vtx) ? valence_b : 6;
int valence_c_target = (c_is_boundary_vtx) ? valence_c : 6;
int valence_d_target = (d_is_boundary_vtx) ? valence_d : 6;
// if total valence error improves by flip, we want to do it
int curr_err = Math.Abs(valence_a - valence_a_target) + Math.Abs(valence_b - valence_b_target)
+ Math.Abs(valence_c - valence_c_target) + Math.Abs(valence_d - valence_d_target);
int flip_err = Math.Abs((valence_a - 1) - valence_a_target) + Math.Abs((valence_b - 1) - valence_b_target)
+ Math.Abs((valence_c + 1) - valence_c_target) + Math.Abs((valence_d + 1) - valence_d_target);
if (flip_err < curr_err)
{
// try flip
DMesh3.EdgeFlipInfo flipInfo;
COUNT_FLIPS++;
MeshResult result = mesh.FlipEdge(edgeID, out flipInfo);
if (result == MeshResult.Ok)
{
DoDebugChecks();
return(ProcessResult.Ok_Flipped);
}
else
{
bTriedFlip = true;
}
}
}
end_flip();
begin_split();
// if edge length is too long, we want to split it
bool bTriedSplit = false;
if (EnableSplits && constraint.CanSplit && edge_len_sqr > MaxEdgeLength * MaxEdgeLength)
{
DMesh3.EdgeSplitInfo splitInfo;
COUNT_SPLITS++;
MeshResult result = mesh.SplitEdge(edgeID, out splitInfo);
if (result == MeshResult.Ok)
{
update_after_split(edgeID, a, b, splitInfo);
OnEdgeSplit(edgeID, a, b, splitInfo);
DoDebugChecks();
return(ProcessResult.Ok_Split);
}
else
{
bTriedSplit = true;
}
}
end_split();
if (bTriedFlip || bTriedSplit || bTriedCollapse)
{
return(ProcessResult.Failed_OpNotSuccessful);
}
else
{
return(ProcessResult.Ignored_EdgeIsFine);
}
}