public static int[] GetTrisOnPositiveSide(DMesh3 mesh, Frame3f plane)
{
DVector <int> keep_tris = new DVector <int>();
Vector3d[] tri = new Vector3d[3];
foreach (int tid in mesh.TriangleIndices())
{
mesh.GetTriVertices(tid, ref tri[0], ref tri[1], ref tri[2]);
bool ok = true;
for (int j = 0; j < 3; ++j)
{
double d = (tri[j] - plane.Origin).Dot(plane.Z);
if (d < 0)
{
ok = false;
}
}
if (ok)
{
keep_tris.Add(tid);
}
}
return(keep_tris.GetBuffer());
}
static double eval_point_wn(DMesh3 mesh, Vector3d q)
{
SpinLock locker = new SpinLock();
double sum = 0;
gParallel.ForEach(mesh.TriangleIndices(), (tid) => {
Vector3d n, c; double area;
mesh.GetTriInfo(tid, out n, out area, out c);
Triangle3d tri = new Triangle3d();
mesh.GetTriVertices(tid, ref tri.V0, ref tri.V1, ref tri.V2);
//double pt_wn = pointwn_order1(ref c, ref n, ref area, ref q);
Vector3d evalPt = c - n * 0.001;
//double pt_wn = pointwn_order2(ref c, ref evalPt, ref n, ref area, ref q);
//double pt_wn = triwn_order1(ref tri, ref evalPt, ref n, ref area, ref q);
double pt_wn = triwn_order2(ref tri, ref evalPt, ref n, ref area, ref q);
bool entered = false;
locker.Enter(ref entered);
sum += pt_wn;
locker.Exit();
});
return(sum);
}
void generate_support(Vector3f origin, float dx,
int ni, int nj, int nk,
DenseGrid3f supportGrid)
{
supportGrid.resize(ni, nj, nk);
supportGrid.assign(1); // sentinel
if (DebugPrint)
{
System.Console.WriteLine("start");
}
bool CHECKERBOARD = false;
System.Console.WriteLine("Computing SDF");
// compute unsigned SDF
MeshSignedDistanceGrid sdf = new MeshSignedDistanceGrid(Mesh, CellSize)
{
ComputeSigns = true, ExactBandWidth = 3,
/*,ComputeMode = MeshSignedDistanceGrid.ComputeModes.FullGrid*/ };
sdf.CancelF = Cancelled;
sdf.Compute();
if (Cancelled())
{
return;
}
var distanceField = new DenseGridTrilinearImplicit(sdf.Grid, sdf.GridOrigin, sdf.CellSize);
double angle = MathUtil.Clamp(OverhangAngleDeg, 0.01, 89.99);
double cos_thresh = Math.Cos(angle * MathUtil.Deg2Rad);
System.Console.WriteLine("Marking overhangs");
// Compute narrow-band distances. For each triangle, we find its grid-coord-bbox,
// and compute exact distances within that box. The intersection_count grid
// is also filled in this computation
double ddx = (double)dx;
double ox = (double)origin[0], oy = (double)origin[1], oz = (double)origin[2];
Vector3d va = Vector3d.Zero, vb = Vector3d.Zero, vc = Vector3d.Zero;
foreach (int tid in Mesh.TriangleIndices())
{
if (tid % 100 == 0 && Cancelled())
{
break;
}
Mesh.GetTriVertices(tid, ref va, ref vb, ref vc);
Vector3d normal = MathUtil.Normal(ref va, ref vb, ref vc);
if (normal.Dot(-Vector3d.AxisY) < cos_thresh)
{
continue;
}
// real ijk coordinates of va/vb/vc
double fip = (va[0] - ox) / ddx, fjp = (va[1] - oy) / ddx, fkp = (va[2] - oz) / ddx;
double fiq = (vb[0] - ox) / ddx, fjq = (vb[1] - oy) / ddx, fkq = (vb[2] - oz) / ddx;
double fir = (vc[0] - ox) / ddx, fjr = (vc[1] - oy) / ddx, fkr = (vc[2] - oz) / ddx;
// clamped integer bounding box of triangle plus exact-band
int exact_band = 0;
int i0 = MathUtil.Clamp(((int)MathUtil.Min(fip, fiq, fir)) - exact_band, 0, ni - 1);
int i1 = MathUtil.Clamp(((int)MathUtil.Max(fip, fiq, fir)) + exact_band + 1, 0, ni - 1);
int j0 = MathUtil.Clamp(((int)MathUtil.Min(fjp, fjq, fjr)) - exact_band, 0, nj - 1);
int j1 = MathUtil.Clamp(((int)MathUtil.Max(fjp, fjq, fjr)) + exact_band + 1, 0, nj - 1);
int k0 = MathUtil.Clamp(((int)MathUtil.Min(fkp, fkq, fkr)) - exact_band, 0, nk - 1);
int k1 = MathUtil.Clamp(((int)MathUtil.Max(fkp, fkq, fkr)) + exact_band + 1, 0, nk - 1);
// don't put into y=0 plane
if (j0 == 0)
{
j0 = 1;
}
// compute distance for each tri inside this bounding box
// note: this can be very conservative if the triangle is large and on diagonal to grid axes
for (int k = k0; k <= k1; ++k)
{
for (int j = j0; j <= j1; ++j)
{
for (int i = i0; i <= i1; ++i)
{
Vector3d gx = new Vector3d((float)i * dx + origin[0], (float)j * dx + origin[1], (float)k * dx + origin[2]);
float d = (float)MeshSignedDistanceGrid.point_triangle_distance(ref gx, ref va, ref vb, ref vc);
// vertical checkerboard pattern (eg 'tips')
if (CHECKERBOARD)
{
int zz = (k % 2 == 0) ? 1 : 0;
if (i % 2 == zz)
{
continue;
}
}
if (d < dx / 2)
{
if (j > 1)
{
supportGrid[i, j, k] = SUPPORT_TIP_TOP;
supportGrid[i, j - 1, k] = SUPPORT_TIP_BASE;
}
else
{
supportGrid[i, j, k] = SUPPORT_TIP_BASE;
}
}
}
}
}
}
if (Cancelled())
{
return;
}
//process_version1(supportGrid, distanceField);
//process_version2(supportGrid, distanceField);
generate_graph(supportGrid, distanceField);
//Util.WriteDebugMesh(MakeDebugGraphMesh(), "c:\\scratch\\__LAST_GRAPH_INIT.obj");
postprocess_graph();
//Util.WriteDebugMesh(MakeDebugGraphMesh(), "c:\\scratch\\__LAST_GRAPH_OPT.obj");
}
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);
}
void generate_support(Vector3f origin, float dx,
int ni, int nj, int nk,
DenseGrid3f supportGrid)
{
supportGrid.resize(ni, nj, nk);
supportGrid.assign(1); // sentinel
bool CHECKERBOARD = false;
// compute unsigned SDF
int exact_band = 1;
if (SubtractMesh && SubtractMeshOffset > 0)
{
int offset_band = (int)(SubtractMeshOffset / CellSize) + 1;
exact_band = Math.Max(exact_band, offset_band);
}
sdf = new MeshSignedDistanceGrid(Mesh, CellSize)
{
ComputeSigns = true, ExactBandWidth = exact_band
};
sdf.CancelF = this.CancelF;
sdf.Compute();
if (CancelF())
{
return;
}
var distanceField = new DenseGridTrilinearImplicit(sdf.Grid, sdf.GridOrigin, sdf.CellSize);
double angle = MathUtil.Clamp(OverhangAngleDeg, 0.01, 89.99);
double cos_thresh = Math.Cos(angle * MathUtil.Deg2Rad);
// Compute narrow-band distances. For each triangle, we find its grid-coord-bbox,
// and compute exact distances within that box. The intersection_count grid
// is also filled in this computation
double ddx = (double)dx;
double ox = (double)origin[0], oy = (double)origin[1], oz = (double)origin[2];
Vector3d va = Vector3d.Zero, vb = Vector3d.Zero, vc = Vector3d.Zero;
foreach (int tid in Mesh.TriangleIndices())
{
if (tid % 100 == 0 && CancelF())
{
break;
}
Mesh.GetTriVertices(tid, ref va, ref vb, ref vc);
Vector3d normal = MathUtil.Normal(ref va, ref vb, ref vc);
if (normal.Dot(-Vector3d.AxisY) < cos_thresh)
{
continue;
}
// real ijk coordinates of va/vb/vc
double fip = (va[0] - ox) / ddx, fjp = (va[1] - oy) / ddx, fkp = (va[2] - oz) / ddx;
double fiq = (vb[0] - ox) / ddx, fjq = (vb[1] - oy) / ddx, fkq = (vb[2] - oz) / ddx;
double fir = (vc[0] - ox) / ddx, fjr = (vc[1] - oy) / ddx, fkr = (vc[2] - oz) / ddx;
// clamped integer bounding box of triangle plus exact-band
int extra_band = 0;
int i0 = MathUtil.Clamp(((int)MathUtil.Min(fip, fiq, fir)) - extra_band, 0, ni - 1);
int i1 = MathUtil.Clamp(((int)MathUtil.Max(fip, fiq, fir)) + extra_band + 1, 0, ni - 1);
int j0 = MathUtil.Clamp(((int)MathUtil.Min(fjp, fjq, fjr)) - extra_band, 0, nj - 1);
int j1 = MathUtil.Clamp(((int)MathUtil.Max(fjp, fjq, fjr)) + extra_band + 1, 0, nj - 1);
int k0 = MathUtil.Clamp(((int)MathUtil.Min(fkp, fkq, fkr)) - extra_band, 0, nk - 1);
int k1 = MathUtil.Clamp(((int)MathUtil.Max(fkp, fkq, fkr)) + extra_band + 1, 0, nk - 1);
// don't put into y=0 plane
//if (j0 == 0)
// j0 = 1;
// compute distance for each tri inside this bounding box
// note: this can be very conservative if the triangle is large and on diagonal to grid axes
for (int k = k0; k <= k1; ++k)
{
for (int j = j0; j <= j1; ++j)
{
for (int i = i0; i <= i1; ++i)
{
Vector3d gx = new Vector3d((float)i * dx + origin[0], (float)j * dx + origin[1], (float)k * dx + origin[2]);
float d = (float)MeshSignedDistanceGrid.point_triangle_distance(ref gx, ref va, ref vb, ref vc);
// vertical checkerboard pattern (eg 'tips')
if (CHECKERBOARD)
{
int zz = (k % 2 == 0) ? 1 : 0;
if (i % 2 == zz)
{
continue;
}
}
if (d < dx / 2)
{
supportGrid[i, j, k] = SUPPORT_TIP_TOP;
}
}
}
}
}
if (CancelF())
{
return;
}
fill_vertical_spans(supportGrid, distanceField);
generate_mesh(supportGrid, distanceField);
}