protected virtual bool BackPropagate(RegionOperator regionOp, int[] insertedPolyVerts, EdgeLoop insertedLoop)
{
bool bOK = regionOp.BackPropropagate();
if (bOK)
{
ModifiedRegion = regionOp;
IndexUtil.Apply(insertedPolyVerts, regionOp.ReinsertSubToBaseMapV);
InsertedPolygonVerts = insertedPolyVerts;
if (insertedLoop != null)
{
InsertedLoop = MeshIndexUtil.MapLoopViaVertexMap(regionOp.ReinsertSubToBaseMapV,
regionOp.Region.SubMesh, regionOp.Region.BaseMesh, insertedLoop);
if (RemovePolygonInterior)
{
InsertedLoop.CorrectOrientation();
}
}
}
return(bOK);
}
public bool Apply()
{
// do a simple fill
SimpleHoleFiller simplefill = new SimpleHoleFiller(Mesh, FillLoop);
int fill_gid = Mesh.AllocateTriangleGroup();
bool bOK = simplefill.Fill(fill_gid);
if (bOK == false)
{
return(false);
}
if (FillLoop.Vertices.Length <= 3)
{
FillTriangles = simplefill.NewTriangles;
FillVertices = new int[0];
return(true);
}
// extract the simple fill mesh as a submesh, via RegionOperator, so we can backsub later
HashSet <int> intial_fill_tris = new HashSet <int>(simplefill.NewTriangles);
regionop = new RegionOperator(Mesh, simplefill.NewTriangles,
(submesh) => { submesh.ComputeTriMaps = true; });
fillmesh = regionop.Region.SubMesh;
// for each boundary vertex, compute the exterior angle sum
// we will use this to compute gaussian curvature later
boundaryv = new HashSet <int>(MeshIterators.BoundaryEdgeVertices(fillmesh));
exterior_angle_sums = new Dictionary <int, double>();
if (IgnoreBoundaryTriangles == false)
{
foreach (int sub_vid in boundaryv)
{
double angle_sum = 0;
int base_vid = regionop.Region.MapVertexToBaseMesh(sub_vid);
foreach (int tid in regionop.BaseMesh.VtxTrianglesItr(base_vid))
{
if (intial_fill_tris.Contains(tid) == false)
{
Index3i et = regionop.BaseMesh.GetTriangle(tid);
int idx = IndexUtil.find_tri_index(base_vid, ref et);
angle_sum += regionop.BaseMesh.GetTriInternalAngleR(tid, idx);
}
}
exterior_angle_sums[sub_vid] = angle_sum;
}
}
// try to guess a reasonable edge length that will give us enough geometry to work with in simplify pass
double loop_mine, loop_maxe, loop_avge, fill_mine, fill_maxe, fill_avge;
MeshQueries.EdgeLengthStatsFromEdges(Mesh, FillLoop.Edges, out loop_mine, out loop_maxe, out loop_avge);
MeshQueries.EdgeLengthStats(fillmesh, out fill_mine, out fill_maxe, out fill_avge);
double remesh_target_len = loop_avge;
if (fill_maxe / remesh_target_len > 10)
{
remesh_target_len = fill_maxe / 10;
}
//double remesh_target_len = Math.Min(loop_avge, fill_avge / 4);
// remesh up to target edge length, ideally gives us some triangles to work with
RemesherPro remesh1 = new RemesherPro(fillmesh);
remesh1.SmoothSpeedT = 1.0;
MeshConstraintUtil.FixAllBoundaryEdges(remesh1);
//remesh1.SetTargetEdgeLength(remesh_target_len / 2); // would this speed things up? on large regions?
//remesh1.FastestRemesh();
remesh1.SetTargetEdgeLength(remesh_target_len);
remesh1.FastestRemesh();
/*
* first round: collapse to minimal mesh, while flipping to try to
* get to ballpark minimal mesh. We stop these passes as soon as
* we have done two rounds where we couldn't do another collapse
*
* This is the most unstable part of the algorithm because there
* are strong ordering effects. maybe we could sort the edges somehow??
*/
int zero_collapse_passes = 0;
int collapse_passes = 0;
while (collapse_passes++ < 20 && zero_collapse_passes < 2)
{
// collapse pass
int NE = fillmesh.MaxEdgeID;
int collapses = 0;
for (int ei = 0; ei < NE; ++ei)
{
if (fillmesh.IsEdge(ei) == false || fillmesh.IsBoundaryEdge(ei))
{
continue;
}
Index2i ev = fillmesh.GetEdgeV(ei);
bool a_bdry = boundaryv.Contains(ev.a), b_bdry = boundaryv.Contains(ev.b);
if (a_bdry && b_bdry)
{
continue;
}
int keepv = (a_bdry) ? ev.a : ev.b;
int otherv = (keepv == ev.a) ? ev.b : ev.a;
Vector3d newv = fillmesh.GetVertex(keepv);
if (MeshUtil.CheckIfCollapseCreatesFlip(fillmesh, ei, newv))
{
continue;
}
DMesh3.EdgeCollapseInfo info;
MeshResult result = fillmesh.CollapseEdge(keepv, otherv, out info);
if (result == MeshResult.Ok)
{
collapses++;
}
}
if (collapses == 0)
{
zero_collapse_passes++;
}
else
{
zero_collapse_passes = 0;
}
// flip pass. we flip in these cases:
// 1) if angle between current triangles is too small (slightly more than 90 degrees, currently)
// 2) if angle between flipped triangles is smaller than between current triangles
// 3) if flipped edge length is shorter *and* such a flip won't flip the normal
NE = fillmesh.MaxEdgeID;
Vector3d n1, n2, on1, on2;
for (int ei = 0; ei < NE; ++ei)
{
if (fillmesh.IsEdge(ei) == false || fillmesh.IsBoundaryEdge(ei))
{
continue;
}
bool do_flip = false;
Index2i ev = fillmesh.GetEdgeV(ei);
MeshUtil.GetEdgeFlipNormals(fillmesh, ei, out n1, out n2, out on1, out on2);
double dot_cur = n1.Dot(n2);
double dot_flip = on1.Dot(on2);
if (n1.Dot(n2) < 0.1 || dot_flip > dot_cur + MathUtil.Epsilonf)
{
do_flip = true;
}
if (do_flip == false)
{
Index2i otherv = fillmesh.GetEdgeOpposingV(ei);
double len_e = fillmesh.GetVertex(ev.a).Distance(fillmesh.GetVertex(ev.b));
double len_flip = fillmesh.GetVertex(otherv.a).Distance(fillmesh.GetVertex(otherv.b));
if (len_flip < len_e)
{
if (MeshUtil.CheckIfEdgeFlipCreatesFlip(fillmesh, ei) == false)
{
do_flip = true;
}
}
}
if (do_flip)
{
DMesh3.EdgeFlipInfo info;
MeshResult result = fillmesh.FlipEdge(ei, out info);
}
}
}
// Sometimes, for some reason, we have a remaining interior vertex (have only ever seen one?)
// Try to force removal of such vertices, even if it makes ugly mesh
remove_remaining_interior_verts();
// enable/disable passes.
bool DO_FLATTER_PASS = true;
bool DO_CURVATURE_PASS = OptimizeDevelopability && true;
bool DO_AREA_PASS = OptimizeDevelopability && OptimizeTriangles && true;
/*
* In this pass we repeat the flipping iterations from the previous pass.
*
* Note that because of the always-flip-if-dot-is-small case (commented),
* this pass will frequently not converge, as some number of edges will
* be able to flip back and forth (because neither has large enough dot).
* This is not ideal, but also, if we remove this behavior, then we
* generally get worse fills. This case basically introduces a sort of
* randomization factor that lets us escape local minima...
*
*/
HashSet <int> remaining_edges = new HashSet <int>(fillmesh.EdgeIndices());
HashSet <int> updated_edges = new HashSet <int>();
int flatter_passes = 0;
int zero_flips_passes = 0;
while (flatter_passes++ < 40 && zero_flips_passes < 2 && remaining_edges.Count() > 0 && DO_FLATTER_PASS)
{
zero_flips_passes++;
foreach (int ei in remaining_edges)
{
if (fillmesh.IsBoundaryEdge(ei))
{
continue;
}
bool do_flip = false;
Index2i ev = fillmesh.GetEdgeV(ei);
Vector3d n1, n2, on1, on2;
MeshUtil.GetEdgeFlipNormals(fillmesh, ei, out n1, out n2, out on1, out on2);
double dot_cur = n1.Dot(n2);
double dot_flip = on1.Dot(on2);
if (flatter_passes < 20 && dot_cur < 0.1) // this check causes oscillatory behavior
{
do_flip = true;
}
if (dot_flip > dot_cur + MathUtil.Epsilonf)
{
do_flip = true;
}
if (do_flip)
{
DMesh3.EdgeFlipInfo info;
MeshResult result = fillmesh.FlipEdge(ei, out info);
if (result == MeshResult.Ok)
{
zero_flips_passes = 0;
add_all_edges(ei, updated_edges);
}
}
}
var tmp = remaining_edges;
remaining_edges = updated_edges;
updated_edges = tmp; updated_edges.Clear();
}
int curvature_passes = 0;
if (DO_CURVATURE_PASS)
{
curvatures = new double[fillmesh.MaxVertexID];
foreach (int vid in fillmesh.VertexIndices())
{
update_curvature(vid);
}
remaining_edges = new HashSet <int>(fillmesh.EdgeIndices());
updated_edges = new HashSet <int>();
/*
* In this pass we try to minimize gaussian curvature at all the vertices.
* This will recover sharp edges, etc, and do lots of good stuff.
* However, this pass will not make much progress if we are not already
* relatively close to a minimal mesh, so it really relies on the previous
* passes getting us in the ballpark.
*/
while (curvature_passes++ < 40 && remaining_edges.Count() > 0 && DO_CURVATURE_PASS)
{
foreach (int ei in remaining_edges)
{
if (fillmesh.IsBoundaryEdge(ei))
{
continue;
}
Index2i ev = fillmesh.GetEdgeV(ei);
Index2i ov = fillmesh.GetEdgeOpposingV(ei);
int find_other = fillmesh.FindEdge(ov.a, ov.b);
if (find_other != DMesh3.InvalidID)
{
continue;
}
double total_curv_cur = curvature_metric_cached(ev.a, ev.b, ov.a, ov.b);
if (total_curv_cur < MathUtil.ZeroTolerancef)
{
continue;
}
DMesh3.EdgeFlipInfo info;
MeshResult result = fillmesh.FlipEdge(ei, out info);
if (result != MeshResult.Ok)
{
continue;
}
double total_curv_flip = curvature_metric_eval(ev.a, ev.b, ov.a, ov.b);
bool keep_flip = total_curv_flip < total_curv_cur - MathUtil.ZeroTolerancef;
if (keep_flip == false)
{
result = fillmesh.FlipEdge(ei, out info);
}
else
{
update_curvature(ev.a); update_curvature(ev.b);
update_curvature(ov.a); update_curvature(ov.b);
add_all_edges(ei, updated_edges);
}
}
var tmp = remaining_edges;
remaining_edges = updated_edges;
updated_edges = tmp; updated_edges.Clear();
}
}
//System.Console.WriteLine("collapse {0} flatter {1} curvature {2}", collapse_passes, flatter_passes, curvature_passes);
/*
* In this final pass, we try to improve triangle quality. We flip if
* the flipped triangles have better total aspect ratio, and the
* curvature doesn't change **too** much. The .DevelopabilityTolerance
* parameter determines what is "too much" curvature change.
*/
if (DO_AREA_PASS)
{
remaining_edges = new HashSet <int>(fillmesh.EdgeIndices());
updated_edges = new HashSet <int>();
int area_passes = 0;
while (remaining_edges.Count() > 0 && area_passes < 20)
{
area_passes++;
foreach (int ei in remaining_edges)
{
if (fillmesh.IsBoundaryEdge(ei))
{
continue;
}
Index2i ev = fillmesh.GetEdgeV(ei);
Index2i ov = fillmesh.GetEdgeOpposingV(ei);
int find_other = fillmesh.FindEdge(ov.a, ov.b);
if (find_other != DMesh3.InvalidID)
{
continue;
}
double total_curv_cur = curvature_metric_cached(ev.a, ev.b, ov.a, ov.b);
double a = aspect_metric(ei);
if (a > 1)
{
continue;
}
DMesh3.EdgeFlipInfo info;
MeshResult result = fillmesh.FlipEdge(ei, out info);
if (result != MeshResult.Ok)
{
continue;
}
double total_curv_flip = curvature_metric_eval(ev.a, ev.b, ov.a, ov.b);
bool keep_flip = Math.Abs(total_curv_cur - total_curv_flip) < DevelopabilityTolerance;
if (keep_flip == false)
{
result = fillmesh.FlipEdge(ei, out info);
}
else
{
update_curvature(ev.a); update_curvature(ev.b);
update_curvature(ov.a); update_curvature(ov.b);
add_all_edges(ei, updated_edges);
}
}
var tmp = remaining_edges;
remaining_edges = updated_edges;
updated_edges = tmp; updated_edges.Clear();
}
}
regionop.BackPropropagate();
FillTriangles = regionop.CurrentBaseTriangles;
FillVertices = regionop.CurrentBaseInteriorVertices().ToArray();
return(true);
}
public virtual void Update()
{
if (MeshSource == null)
{
throw new Exception("EnclosedRegionOffsetOp: must set valid MeshSource to compute!");
}
if (MeshSource.HasSpatial == false)
{
throw new Exception("EnclosedRegionOffsetOp: MeshSource must have spatial data structure!");
}
IMesh imesh = MeshSource.GetIMesh();
if (imesh.HasVertexNormals == false)
{
throw new Exception("EnclosedRegionOffsetOp: input mesh does not have surface normals...");
}
if (imesh is DMesh3 == false)
{
throw new Exception("RegionOffsetOp: in current implementation, input mesh must be a DMesh3. Ugh.");
}
DMesh3 mesh = imesh as DMesh3;
ISpatial spatial = MeshSource.GetSpatial();
DCurve3 curve = new DCurve3(CurveSource.GetICurve());
MeshFacesFromLoop loop = new MeshFacesFromLoop(mesh, curve, spatial);
// extract submesh
RegionOperator op = new RegionOperator(mesh, loop.InteriorTriangles);
DMesh3 submesh = op.Region.SubMesh;
// find boundary verts and nbr ring
HashSet <int> boundaryV = new HashSet <int>(MeshIterators.BoundaryEdgeVertices(submesh));
HashSet <int> boundaryNbrs = new HashSet <int>();
foreach (int vid in boundaryV)
{
foreach (int nbrvid in submesh.VtxVerticesItr(vid))
{
if (boundaryV.Contains(nbrvid) == false)
{
boundaryNbrs.Add(nbrvid);
}
}
}
// [TODO] maybe should be not using vertex normal here?
// use an averaged normal, or a constant for patch?
// offset mesh if requested
if (Math.Abs(offset_distance) > 0.0001)
{
foreach (int vid in submesh.VertexIndices())
{
if (boundaryV.Contains(vid))
{
continue;
}
// if inner ring is non-zero, then it gets preserved below, and
// creates a crease...
//double dist = boundaryNbrs.Contains(vid) ? (offset_distance / 2) : offset_distance;
double dist = boundaryNbrs.Contains(vid) ? 0 : offset_distance;
submesh.SetVertex(vid,
submesh.GetVertex(vid) + (float)dist * submesh.GetVertexNormal(vid));
}
}
//double t = MathUtil.Clamp(1.0 - SmoothAlpha, 0.1, 1.0);
double t = 1.0 - SmoothAlpha;
t = t * t;
double boundary_t = 5.0;
double ring_t = 1.0;
// smooth submesh, with boundary-ring constraints
LaplacianMeshSmoother smoother = new LaplacianMeshSmoother(submesh);
foreach (int vid in submesh.VertexIndices())
{
if (boundaryV.Contains(vid))
{
smoother.SetConstraint(vid, submesh.GetVertex(vid), boundary_t, true);
}
else if (boundaryNbrs.Contains(vid))
{
smoother.SetConstraint(vid, submesh.GetVertex(vid), ring_t);
}
else
{
smoother.SetConstraint(vid, submesh.GetVertex(vid), t);
}
}
smoother.SolveAndUpdateMesh();
// turn into displacement vectors
Displacement.Clear();
Displacement.Resize(mesh.MaxVertexID);
foreach (int subvid in op.Region.SubMesh.VertexIndices())
{
Vector3d subv = op.Region.SubMesh.GetVertex(subvid);
int basevid = op.Region.SubToBaseV[subvid];
Vector3d basev = op.Region.BaseMesh.GetVertex(basevid);
Displacement[basevid] = subv - basev;
}
result_valid = true;
}
public bool Insert()
{
Func <int, bool> is_contained_v = (vid) => {
Vector3d v = Mesh.GetVertex(vid);
Vector2f vf2 = ProjectFrame.ToPlaneUV((Vector3f)v, 2);
return(Polygon.Contains(vf2));
};
MeshVertexSelection vertexROI = new MeshVertexSelection(Mesh);
Index3i seedT = Mesh.GetTriangle(SeedTriangle);
// if a seed vert of seed triangle is containd in polygon, we will
// flood-fill out from there, this gives a better ROI.
// If not, we will try flood-fill from the seed triangles.
List <int> seed_verts = new List <int>();
for (int j = 0; j < 3; ++j)
{
if (is_contained_v(seedT[j]))
{
seed_verts.Add(seedT[j]);
}
}
if (seed_verts.Count == 0)
{
seed_verts.Add(seedT.a);
seed_verts.Add(seedT.b);
seed_verts.Add(seedT.c);
}
// flood-fill out from seed vertices until we have found all vertices
// contained in polygon
vertexROI.FloodFill(seed_verts.ToArray(), is_contained_v);
// convert vertex ROI to face ROI
MeshFaceSelection faceROI = new MeshFaceSelection(Mesh, vertexROI, 1);
faceROI.ExpandToOneRingNeighbours();
faceROI.FillEars(true); // this might be a good idea...
// construct submesh
RegionOperator regionOp = new RegionOperator(Mesh, faceROI);
DSubmesh3 roiSubmesh = regionOp.Region;
DMesh3 roiMesh = roiSubmesh.SubMesh;
// save 3D positions of unmodified mesh
Vector3d[] initialPositions = new Vector3d[roiMesh.MaxVertexID];
// map roi mesh to plane
MeshTransforms.PerVertexTransform(roiMesh, roiMesh.VertexIndices(), (v, vid) => {
Vector2f uv = ProjectFrame.ToPlaneUV((Vector3f)v, 2);
initialPositions[vid] = v;
return(new Vector3d(uv.x, uv.y, 0));
});
// save a copy of 2D mesh and construct bvtree. we will use
// this later to project back to 3d
// [TODO] can we use a better spatial DS here, that takes advantage of 2D?
DMesh3 projectMesh = new DMesh3(roiMesh);
DMeshAABBTree3 projecter = new DMeshAABBTree3(projectMesh, true);
MeshInsertUVPolyCurve insertUV = new MeshInsertUVPolyCurve(roiMesh, Polygon);
//insertUV.Validate()
bool bOK = insertUV.Apply();
if (!bOK)
{
throw new Exception("insertUV.Apply() failed");
}
if (SimplifyInsertion)
{
insertUV.Simplify();
}
int[] insertedPolyVerts = insertUV.CurveVertices;
// grab inserted loop, assuming it worked
EdgeLoop insertedLoop = null;
if (insertUV.Loops.Count == 1)
{
insertedLoop = insertUV.Loops[0];
}
// find interior triangles
List <int> interiorT = new List <int>();
foreach (int tid in roiMesh.TriangleIndices())
{
Vector3d centroid = roiMesh.GetTriCentroid(tid);
if (Polygon.Contains(centroid.xy))
{
interiorT.Add(tid);
}
}
if (RemovePolygonInterior)
{
MeshEditor editor = new MeshEditor(roiMesh);
editor.RemoveTriangles(interiorT, true);
InteriorTriangles = null;
}
else
{
InteriorTriangles = interiorT.ToArray();
}
// map back to 3d
Vector3d a = Vector3d.Zero, b = Vector3d.Zero, c = Vector3d.Zero;
foreach (int vid in roiMesh.VertexIndices())
{
// [TODO] somehow re-use exact positions from regionOp maps?
// construct new 3D pos w/ barycentric interpolation
Vector3d v = roiMesh.GetVertex(vid);
int tid = projecter.FindNearestTriangle(v);
Index3i tri = projectMesh.GetTriangle(tid);
projectMesh.GetTriVertices(tid, ref a, ref b, ref c);
Vector3d bary = MathUtil.BarycentricCoords(ref v, ref a, ref b, ref c);
Vector3d pos = bary.x * initialPositions[tri.a] + bary.y * initialPositions[tri.b] + bary.z * initialPositions[tri.c];
roiMesh.SetVertex(vid, pos);
}
bOK = BackPropagate(regionOp, insertedPolyVerts, insertedLoop);
return(bOK);
}
protected virtual DMesh3 compute_bounded_distance()
{
DMesh3 sourceMesh = MeshSource.GetDMeshUnsafe();
ISpatial inputSpatial = MeshSource.GetSpatial();
DMesh3 targetMesh = TargetSource.GetDMeshUnsafe();
ISpatial targetSpatial = TargetSource.GetSpatial();
double max_dist = (TargetMaxDistance == double.MaxValue) ? double.MaxValue : TargetMaxDistance;
DMesh3 meshIn = new DMesh3(sourceMesh);
bool target_closed = targetMesh.IsClosed();
MeshVertexSelection roiV = new MeshVertexSelection(meshIn);
SpinLock roi_lock = new SpinLock();
gParallel.ForEach(meshIn.VertexIndices(), (vid) => {
Vector3d pos = meshIn.GetVertex(vid);
Vector3d posTarget = TransformToTarget.TransformP(pos);
double dist = MeshQueries.NearestPointDistance(targetMesh, targetSpatial, posTarget, max_dist);
bool inside = (target_closed && targetSpatial.IsInside(posTarget));
if (dist < max_dist || inside)
{
bool taken = false;
roi_lock.Enter(ref taken);
roiV.Select(vid);
roi_lock.Exit();
}
});
if (is_invalidated())
{
return(null);
}
MeshFaceSelection roi_faces = new MeshFaceSelection(meshIn, roiV, 1);
roi_faces.ExpandToOneRingNeighbours(3);
roi_faces.LocalOptimize();
if (is_invalidated())
{
return(null);
}
RegionOperator op = new RegionOperator(meshIn, roi_faces);
DMesh3 meshROI = op.Region.SubMesh;
if (is_invalidated())
{
return(null);
}
RemesherPro remesher = new RemesherPro(meshROI);
remesher.SetTargetEdgeLength(TargetEdgeLength);
remesher.PreventNormalFlips = this.PreventNormalFlips;
remesher.EnableFlips = this.EnableFlips;
remesher.EnableSplits = this.EnableSplits;
remesher.EnableCollapses = this.EnableCollapses;
remesher.EnableSmoothing = this.EnableSmoothing;
remesher.SmoothSpeedT = this.SmoothingSpeed;
BoundedProjectionTarget target = new BoundedProjectionTarget()
{
Source = sourceMesh, SourceSpatial = inputSpatial,
Target = targetMesh, TargetSpatial = targetSpatial,
SourceToTargetXForm = source_to_target,
TargetToSourceXForm = target_to_source,
MaxDistance = max_dist,
Smoothness = transition_smoothness
};
remesher.SetProjectionTarget(target);
if (remesher.Constraints == null)
{
remesher.SetExternalConstraints(new MeshConstraints());
}
MeshConstraintUtil.FixAllBoundaryEdges(remesher.Constraints, meshROI);
if (is_invalidated())
{
return(null);
}
remesher.Progress = new ProgressCancel(is_invalidated);
remesher.FastestRemesh(RemeshRounds);
if (is_invalidated())
{
return(null);
}
op.BackPropropagate();
return(meshIn);
}
