public Vector3d Project(Vector3d vPoint, int identifier = -1)
{
int tNearestID = Spatial.FindNearestTriangle(vPoint);
DistPoint3Triangle3 q = MeshQueries.TriangleDistance(Mesh, tNearestID, vPoint);
return(q.TriangleClosest);
}
public bool RayIntersect(Ray3d ray, out Vector3d vHit, out Vector3d vHitNormal)
{
vHit = Vector3d.Zero;
vHitNormal = Vector3d.AxisX;
int tHitID = Spatial.FindNearestHitTriangle(ray);
if (tHitID == DMesh3.InvalidID)
{
return(false);
}
IntrRay3Triangle3 t = MeshQueries.TriangleIntersection(Mesh, tHitID, ray);
vHit = ray.PointAt(t.RayParameter);
if (UseFaceNormal == false && Mesh.HasVertexNormals)
{
vHitNormal = Mesh.GetTriBaryNormal(tHitID, t.TriangleBaryCoords.x, t.TriangleBaryCoords.y, t.TriangleBaryCoords.z);
}
else
{
vHitNormal = Mesh.GetTriNormal(tHitID);
}
return(true);
}
public Vector3d FindNearestAndOffset(Vector3d pos)
{
int tNearestID = Spatial.FindNearestTriangle(pos);
DistPoint3Triangle3 q = MeshQueries.TriangleDistance(Mesh, tNearestID, pos);
Vector3d vHitNormal =
(UseFaceNormal == false && Mesh.HasVertexNormals) ?
Mesh.GetTriBaryNormal(tNearestID, q.TriangleBaryCoords.x, q.TriangleBaryCoords.y, q.TriangleBaryCoords.z)
: Mesh.GetTriNormal(tNearestID);
return(q.TriangleClosest + Distance * vHitNormal);
}
// for each From[i], find closest point on TargetSurface
void update_to()
{
double max_dist = double.MaxValue;
bool bNormals = (UseNormals && Source.HasVertexNormals);
var range = Interval1i.Range(From.Length);
gParallel.ForEach(range, (vi) =>
{
int tid = TargetSurface.FindNearestTriangle(From[vi], max_dist);
if (tid == DMesh3.InvalidID)
{
Weights[vi] = 0;
return;
}
DistPoint3Triangle3 d = MeshQueries.TriangleDistance(TargetSurface.Mesh, tid, From[vi]);
if (d.DistanceSquared > MaxAllowableDistance * MaxAllowableDistance)
{
Weights[vi] = 0;
return;
}
To[vi] = d.TriangleClosest;
Weights[vi] = 1.0f;
if (bNormals)
{
Vector3d fromN = Rotation * Source.GetVertexNormal(vi);
Vector3d toN = TargetSurface.Mesh.GetTriNormal(tid);
double fDot = fromN.Dot(toN);
Debug.Assert(MathUtil.IsFinite(fDot));
if (fDot < 0)
{
Weights[vi] = 0;
}
else
{
Weights[vi] += Math.Sqrt(fDot);
}
}
});
}
// do full tree traversal below iBox and make sure that all triangles are further
// than box-distance-sqr
void debug_check_child_tri_distances(int iBox, Vector3d p)
{
double fBoxDistSqr = box_distance_sqr(iBox, p);
TreeTraversal t = new TreeTraversal()
{
NextTriangleF = (tID) => {
double fTriDistSqr = MeshQueries.TriDistanceSqr(mesh, tID, p);
if (fTriDistSqr < fBoxDistSqr)
{
if (Math.Abs(fTriDistSqr - fBoxDistSqr) > MathUtil.ZeroTolerance * 100)
{
Util.gBreakToDebugger();
}
}
}
};
tree_traversal(iBox, 0, t);
}
void find_nearest_tri(int iBox, Vector3d p, ref double fNearestSqr, ref int tID)
{
int idx = box_to_index[iBox];
if (idx < triangles_end) // triange-list case, array is [N t1 t2 ... tN]
{
int num_tris = index_list[idx];
for (int i = 1; i <= num_tris; ++i)
{
int ti = index_list[idx + i];
double fTriDistSqr = MeshQueries.TriDistanceSqr(mesh, ti, p);
if (fTriDistSqr < fNearestSqr)
{
fNearestSqr = fTriDistSqr;
tID = ti;
}
}
}
else // internal node, either 1 or 2 child boxes
{
int iChild1 = index_list[idx];
if (iChild1 < 0) // 1 child, descend if nearer than cur min-dist
{
iChild1 = (-iChild1) - 1;
double fChild1DistSqr = box_distance_sqr(iChild1, p);
if (fChild1DistSqr <= fNearestSqr)
{
find_nearest_tri(iChild1, p, ref fNearestSqr, ref tID);
}
}
else // 2 children, descend closest first
{
iChild1 = iChild1 - 1;
int iChild2 = index_list[idx + 1] - 1;
double fChild1DistSqr = box_distance_sqr(iChild1, p);
double fChild2DistSqr = box_distance_sqr(iChild2, p);
if (fChild1DistSqr < fChild2DistSqr)
{
if (fChild1DistSqr < fNearestSqr)
{
find_nearest_tri(iChild1, p, ref fNearestSqr, ref tID);
if (fChild2DistSqr < fNearestSqr)
{
find_nearest_tri(iChild2, p, ref fNearestSqr, ref tID);
}
}
}
else
{
if (fChild2DistSqr < fNearestSqr)
{
find_nearest_tri(iChild2, p, ref fNearestSqr, ref tID);
if (fChild1DistSqr < fNearestSqr)
{
find_nearest_tri(iChild1, p, ref fNearestSqr, ref tID);
}
}
}
}
}
}
public virtual bool Trim()
{
if (Spatial == null)
{
Spatial = new DMeshAABBTree3(new DMesh3(Mesh, false, MeshComponents.None));
Spatial.Build();
}
if (seed_tri == -1)
{
seed_tri = Spatial.FindNearestTriangle(seed_pt);
}
var loop = new MeshFacesFromLoop(Mesh, TrimLine, Spatial, seed_tri);
MeshFaceSelection selection = loop.ToSelection();
selection.LocalOptimize(true, true);
var editor = new MeshEditor(Mesh);
editor.RemoveTriangles(selection, true);
var components = new MeshConnectedComponents(Mesh);
components.FindConnectedT();
if (components.Count > 1)
{
int keep = components.LargestByCount;
for (int i = 0; i < components.Count; ++i)
{
if (i != keep)
{
editor.RemoveTriangles(components[i].Indices, true);
}
}
}
editor.RemoveAllBowtieVertices(true);
var loops = new MeshBoundaryLoops(Mesh);
bool loopsOK = false;
try
{
loopsOK = loops.Compute();
}
catch (Exception)
{
return(false);
}
if (!loopsOK)
{
return(false);
}
// [TODO] to support trimming mesh w/ existing holes, we need to figure out which
// loop we created in RemoveTriangles above!
if (loops.Count > 1)
{
return(false);
}
int[] loopVerts = loops[0].Vertices;
var borderTris = new MeshFaceSelection(Mesh);
borderTris.SelectVertexOneRings(loopVerts);
borderTris.ExpandToOneRingNeighbours(RemeshBorderRings);
var remesh = new RegionRemesher(Mesh, borderTris.ToArray());
remesh.Region.MapVerticesToSubmesh(loopVerts);
double target_len = TargetEdgeLength;
if (target_len <= 0)
{
double mine, maxe, avge;
MeshQueries.EdgeLengthStatsFromEdges(Mesh, loops[0].Edges, out mine, out maxe, out avge);
target_len = avge;
}
var meshTarget = new MeshProjectionTarget(Spatial.Mesh, Spatial);
remesh.SetProjectionTarget(meshTarget);
remesh.SetTargetEdgeLength(target_len);
remesh.SmoothSpeedT = SmoothingAlpha;
var curveTarget = new DCurveProjectionTarget(TrimLine);
var multiTarget = new SequentialProjectionTarget(curveTarget, meshTarget);
int set_id = 3;
MeshConstraintUtil.ConstrainVtxLoopTo(remesh, loopVerts, multiTarget, set_id);
for (int i = 0; i < RemeshRounds; ++i)
{
remesh.BasicRemeshPass();
}
remesh.BackPropropagate();
// [TODO] output loop somehow...use MeshConstraints.FindConstrainedEdgesBySetID(set_id)...
return(true);
} // Trim()
public void Close_Flat()
{
double minlen, maxlen, avglen;
MeshQueries.EdgeLengthStats(Mesh, out minlen, out maxlen, out avglen, 1000);
double target_edge_len = (TargetEdgeLen <= 0) ? avglen : TargetEdgeLen;
// massage around boundary loop
List <int> refinedBorderEdges;
cleanup_boundary(Mesh, InitialBorderLoop, avglen, out refinedBorderEdges, 3);
// find new border loop. try to find new loop containing edges from loop we refined in cleanup_boundary,
// if that fails just use largest loop.
MeshBoundaryLoops loops = new MeshBoundaryLoops(Mesh);
int iloop = loops.FindLoopContainingEdge(refinedBorderEdges[0]);
if (iloop == -1)
{
iloop = loops.MaxVerticesLoopIndex;
}
EdgeLoop fill_loop = loops.Loops[iloop];
int extrude_group = (ExtrudeGroup == -1) ? Mesh.AllocateTriangleGroup() : ExtrudeGroup;
int fill_group = (FillGroup == -1) ? Mesh.AllocateTriangleGroup() : FillGroup;
// decide on projection plane
//AxisAlignedBox3d loopbox = fill_loop.GetBounds();
//Vector3d topPt = loopbox.Center;
//if ( bIsUpper ) {
// topPt.y = loopbox.Max.y + 0.25 * dims.y;
//} else {
// topPt.y = loopbox.Min.y - 0.25 * dims.y;
//}
//Frame3f plane = new Frame3f((Vector3f)topPt);
// extrude loop to this plane
MeshExtrudeLoop extrude = new MeshExtrudeLoop(Mesh, fill_loop);
extrude.PositionF = (v, n, i) => {
return(FlatClosePlane.ProjectToPlane((Vector3f)v, 1));
};
extrude.Extrude(extrude_group);
MeshValidation.IsBoundaryLoop(Mesh, extrude.NewLoop);
Debug.Assert(Mesh.CheckValidity());
// smooth the extrude loop
MeshLoopSmooth loop_smooth = new MeshLoopSmooth(Mesh, extrude.NewLoop);
loop_smooth.ProjectF = (v, i) => {
return(FlatClosePlane.ProjectToPlane((Vector3f)v, 1));
};
loop_smooth.Alpha = 0.5f;
loop_smooth.Rounds = 100;
loop_smooth.Smooth();
Debug.Assert(Mesh.CheckValidity());
// fill result
SimpleHoleFiller filler = new SimpleHoleFiller(Mesh, extrude.NewLoop);
filler.Fill(fill_group);
Debug.Assert(Mesh.CheckValidity());
// make selection for remesh region
MeshFaceSelection remesh_roi = new MeshFaceSelection(Mesh);
remesh_roi.Select(extrude.NewTriangles);
remesh_roi.Select(filler.NewTriangles);
remesh_roi.ExpandToOneRingNeighbours();
remesh_roi.ExpandToOneRingNeighbours();
remesh_roi.LocalOptimize(true, true);
int[] new_roi = remesh_roi.ToArray();
// get rid of extrude group
FaceGroupUtil.SetGroupToGroup(Mesh, extrude_group, 0);
/* clean up via remesh
* - constrain loop we filled to itself
*/
RegionRemesher r = new RegionRemesher(Mesh, new_roi);
DCurve3 top_curve = MeshUtil.ExtractLoopV(Mesh, extrude.NewLoop.Vertices);
DCurveProjectionTarget curve_target = new DCurveProjectionTarget(top_curve);
int[] top_loop = (int[])extrude.NewLoop.Vertices.Clone();
r.Region.MapVerticesToSubmesh(top_loop);
MeshConstraintUtil.ConstrainVtxLoopTo(r.Constraints, r.Mesh, top_loop, curve_target);
DMeshAABBTree3 spatial = new DMeshAABBTree3(Mesh);
spatial.Build();
MeshProjectionTarget target = new MeshProjectionTarget(Mesh, spatial);
r.SetProjectionTarget(target);
bool bRemesh = true;
if (bRemesh)
{
r.Precompute();
r.EnableFlips = r.EnableSplits = r.EnableCollapses = true;
r.MinEdgeLength = target_edge_len;
r.MaxEdgeLength = 2 * target_edge_len;
r.EnableSmoothing = true;
r.SmoothSpeedT = 1.0f;
for (int k = 0; k < 40; ++k)
{
r.BasicRemeshPass();
}
r.SetProjectionTarget(null);
r.SmoothSpeedT = 0.25f;
for (int k = 0; k < 10; ++k)
{
r.BasicRemeshPass();
}
Debug.Assert(Mesh.CheckValidity());
r.BackPropropagate();
}
// smooth around the join region to clean up ugliness
smooth_region(Mesh, r.Region.BaseBorderV, 3);
}
void generate_graph(DenseGrid3f supportGrid, DenseGridTrilinearImplicit distanceField)
{
int ni = supportGrid.ni, nj = supportGrid.nj, nk = supportGrid.nk;
float dx = (float)CellSize;
Vector3f origin = this.GridOrigin;
// parameters for initializing cost grid
float MODEL_SPACE = 0.01f; // needs small positive so that points on triangles count as inside (eg on ground plane)
//float MODEL_SPACE = 2.0f*(float)CellSize;
float CRAZY_DISTANCE = 99999.0f;
bool UNIFORM_DISTANCE = true;
float MAX_DIST = 10 * (float)CellSize;
// parameters for sorting seeds
Vector3i center_idx = new Vector3i(ni / 2, 0, nk / 2); // middle
//Vector3i center_idx = new Vector3i(0, 0, 0); // corner
bool reverse_per_layer = true;
DenseGrid3f costGrid = new DenseGrid3f(supportGrid);
foreach ( Vector3i ijk in costGrid.Indices() ) {
Vector3d cell_center = new Vector3f(ijk.x * dx, ijk.y * dx, ijk.z * dx) + origin;
float f = (float)distanceField.Value(ref cell_center);
if (f <= MODEL_SPACE)
f = CRAZY_DISTANCE;
else if (UNIFORM_DISTANCE)
f = 1.0f;
else if (f > MAX_DIST)
f = MAX_DIST;
costGrid[ijk] = f;
}
// Find seeds on each layer, sort, and add to accumulated bottom-up seeds list.
// This sorting has an *enormous* effect on the support generation.
List<Vector3i> seeds = new List<Vector3i>();
List<Vector3i> layer_seeds = new List<Vector3i>();
for (int j = 0; j < nj; ++j) {
layer_seeds.Clear();
for (int k = 0; k < nk; ++k) {
for (int i = 0; i < ni; ++i) {
if (supportGrid[i, j, k] == SUPPORT_TIP_BASE)
layer_seeds.Add(new Vector3i(i, j, k));
}
}
layer_seeds.Sort((a, b) => {
Vector3i pa = a; pa.y = 0;
Vector3i pb = b; pb.y = 0;
int sa = (pa-center_idx).LengthSquared, sb = (pb-center_idx).LengthSquared;
return sa.CompareTo(sb);
});
// reversing sort order is intresting?
if(reverse_per_layer)
layer_seeds.Reverse();
seeds.AddRange(layer_seeds);
}
HashSet<Vector3i> seed_indices = new HashSet<Vector3i>(seeds);
// gives very different results...
if (ProcessBottomUp == false)
seeds.Reverse();
// for linear index a, is this a node we allow in graph? (ie graph bounds)
Func<int, bool> node_filter_f = (a) => {
Vector3i ai = costGrid.to_index(a);
// why not y check??
return ai.x > 0 && ai.z > 0 && ai.x != ni - 1 && ai.y != nj - 1 && ai.z != nk - 1;
};
// distance from linear index a to linear index b
// this defines the cost field we want to find shortest path through
Func<int, int, float> node_dist_f = (a, b) => {
Vector3i ai = costGrid.to_index(a), bi = costGrid.to_index(b);
if (bi.y >= ai.y) // b.y should always be a.y-1
return float.MaxValue;
float sg = supportGrid[bi];
// don't connect to tips
//if (sg == SUPPORT_TIP_BASE || sg == SUPPORT_TIP_TOP)
// return float.MaxValue;
if (sg == SUPPORT_TIP_TOP)
return float.MaxValue;
if (sg < 0)
return -999999; // if b is already used, we will terminate there, so this is a good choice
// otherwise cost is sqr-grid-distance + costGrid value (which is basically distance to surface)
float c = costGrid[b];
float f = (float)(Math.Sqrt((bi - ai).LengthSquared) * CellSize);
//float f = 0;
return c + f;
};
// which linear-index nbrs to consider for linear index a
Func<int, IEnumerable<int>> neighbour_f = (a) => {
Vector3i ai = costGrid.to_index(a);
return down_neighbours(ai, costGrid);
};
// when do we terminate
Func<int, bool> terminate_f = (a) => {
Vector3i ai = costGrid.to_index(a);
// terminate if we hit existing support path
if (seed_indices.Contains(ai) == false && supportGrid[ai] < 0)
return true;
// terminate if we hit ground plane
if (ai.y == 0)
return true;
return false;
};
DijkstraGraphDistance dijkstra = new DijkstraGraphDistance(ni * nj * nk, false,
node_filter_f, node_dist_f, neighbour_f);
dijkstra.TrackOrder = true;
List<int> path = new List<int>();
Graph = new DGraph3();
Dictionary<Vector3i, int> CellToGraph = new Dictionary<Vector3i, int>();
TipVertices = new HashSet<int>();
TipBaseVertices = new HashSet<int>();
GroundVertices = new HashSet<int>();
// seeds are tip-base points
for (int k = 0; k < seeds.Count; ++k) {
// add seed point (which is a tip-base vertex) as seed for dijkstra prop
int seed = costGrid.to_linear(seeds[k]);
dijkstra.Reset();
dijkstra.AddSeed(seed, 0);
// compute to termination (ground, existing node, etc)
int base_node = dijkstra.ComputeToNode(terminate_f);
if (base_node < 0)
base_node = dijkstra.GetOrder().Last();
// extract the path
path.Clear();
dijkstra.GetPathToSeed(base_node, path);
int N = path.Count;
// first point on path is termination point.
// create vertex for it if we have not yet
Vector3i basept_idx = supportGrid.to_index(path[0]);
int basept_vid;
if ( CellToGraph.TryGetValue(basept_idx, out basept_vid) == false ) {
Vector3d curv = get_cell_center(basept_idx);
if (basept_idx.y == 0) {
curv.y = 0;
}
basept_vid = Graph.AppendVertex(curv);
if (basept_idx.y == 0) {
GroundVertices.Add(basept_vid);
}
CellToGraph[basept_idx] = basept_vid;
}
int cur_vid = basept_vid;
// now walk up path and create vertices as necessary
for (int i = 0; i < N; ++i) {
int idx = path[i];
if ( supportGrid[idx] >= 0 )
supportGrid[idx] = SUPPORT_GRID_USED;
if ( i > 0 ) {
Vector3i next_idx = supportGrid.to_index(path[i]);
int next_vid;
if (CellToGraph.TryGetValue(next_idx, out next_vid) == false) {
Vector3d nextv = get_cell_center(next_idx);
next_vid = Graph.AppendVertex(nextv);
CellToGraph[next_idx] = next_vid;
}
Graph.AppendEdge(cur_vid, next_vid);
cur_vid = next_vid;
}
}
// seed was tip-base so we should always get back there. Then we
// explicitly add tip-top and edge to it.
if ( supportGrid[path[N-1]] == SUPPORT_TIP_BASE ) {
Vector3i vec_idx = supportGrid.to_index(path[N-1]);
TipBaseVertices.Add(CellToGraph[vec_idx]);
Vector3i tip_idx = vec_idx + Vector3i.AxisY;
int tip_vid;
if (CellToGraph.TryGetValue(tip_idx, out tip_vid) == false) {
Vector3d tipv = get_cell_center(tip_idx);
tip_vid = Graph.AppendVertex(tipv);
CellToGraph[tip_idx] = tip_vid;
Graph.AppendEdge(cur_vid, tip_vid);
TipVertices.Add(tip_vid);
}
}
}
/*
* Snap tips to surface
*/
gParallel.ForEach(TipVertices, (tip_vid) => {
bool snapped = false;
Vector3d v = Graph.GetVertex(tip_vid);
Frame3f hitF;
// try shooting ray straight up. if that hits, and point is close, we use it
if (MeshQueries.RayHitPointFrame(Mesh, MeshSpatial, new Ray3d(v, Vector3d.AxisY), out hitF)) {
if (v.Distance(hitF.Origin) < 2 * CellSize) {
v = hitF.Origin;
snapped = true;
}
}
// if that failed, try straight down
if (!snapped) {
if (MeshQueries.RayHitPointFrame(Mesh, MeshSpatial, new Ray3d(v, -Vector3d.AxisY), out hitF)) {
if (v.Distance(hitF.Origin) < CellSize) {
v = hitF.Origin;
snapped = true;
}
}
}
// if it missed, or hit pt was too far, find nearest point and try that
if (!snapped) {
hitF = MeshQueries.NearestPointFrame(Mesh, MeshSpatial, v);
if (v.Distance(hitF.Origin) < 2 * CellSize) {
v = hitF.Origin;
snapped = true;
}
// can this ever fail? tips should always be within 2 cells...
}
if (snapped)
Graph.SetVertex(tip_vid, v);
});
}
void constrained_smooth(DGraph3 graph, double surfDist, double dotThresh, double alpha, int rounds)
{
int NV = graph.MaxVertexID;
Vector3d[] pos = new Vector3d[NV];
for (int ri = 0; ri < rounds; ++ri) {
gParallel.ForEach(graph.VertexIndices(), (vid) => {
Vector3d v = graph.GetVertex(vid);
if ( GroundVertices.Contains(vid) || TipVertices.Contains(vid) ) {
pos[vid] = v;
return;
}
// for tip base vertices, we could allow them to move down and away within angle cone...
if (TipBaseVertices.Contains(vid)) {
pos[vid] = v;
return;
}
// compute smoothed position of vtx
Vector3d centroid = Vector3d.Zero; int nbr_count = 0;
foreach (int nbr_vid in graph.VtxVerticesItr(vid)) {
centroid += graph.GetVertex(nbr_vid);
nbr_count++;
}
if (nbr_count == 1) {
pos[vid] = v;
return;
}
centroid /= nbr_count;
Vector3d vnew = (1 - alpha) * v + (alpha) * centroid;
// make sure we don't violate angle constraint to any nbrs
int attempt = 0;
try_again:
foreach ( int nbr_vid in graph.VtxVerticesItr(vid)) {
Vector3d dv = graph.GetVertex(nbr_vid) - vnew;
dv.Normalize();
double dot = dv.Dot(Vector3d.AxisY);
if ( Math.Abs(dot) < dotThresh ) {
if (attempt++ < 3) {
vnew = Vector3d.Lerp(v, vnew, 0.66);
goto try_again;
} else {
pos[vid] = v;
return;
}
}
}
// offset from nearest point on surface
Frame3f fNearest = MeshQueries.NearestPointFrame(Mesh, MeshSpatial, vnew, true);
Vector3d vNearest = fNearest.Origin;
double dist = vnew.Distance(vNearest);
bool inside = MeshSpatial.IsInside(vnew);
if (inside || dist < surfDist) {
Vector3d normal = fNearest.Z;
// don't push down?
if (normal.Dot(Vector3d.AxisY) < 0) {
normal.y = 0; normal.Normalize();
}
vnew = fNearest.Origin + surfDist * normal;
}
pos[vid] = vnew;
});
foreach (int vid in graph.VertexIndices())
graph.SetVertex(vid, pos[vid]);
}
}
