ENH: isoSurfaceCell: orientation of triangles

This commit is contained in:
mattijs
2011-09-22 21:53:28 +01:00
parent 1d60681ec5
commit 41133ed370
4 changed files with 359 additions and 238 deletions

View File

@ -255,6 +255,7 @@ surfaces
distance 0.0;
interpolate false;
regularise false; // Optional: do not simplify
// mergeTol 1e-10; // Optional: fraction of mesh bounding box
// to merge points (default=1e-6)
}

View File

@ -287,16 +287,16 @@ Foam::pointIndexHit Foam::isoSurfaceCell::collapseSurface
if (shared[0] != -1)
{
//vector n0 = tri0.normal(localPoints);
//n0 /= mag(n0);
//vector n1 = tri1.normal(localPoints);
//n1 /= mag(n1);
//
//if ((n0 & n1) < 0)
//{
// // Too big an angle. Do not simplify.
//}
//else
vector n0 = tri0.normal(localPoints);
n0 /= mag(n0);
vector n1 = tri1.normal(localPoints);
n1 /= mag(n1);
if ((n0 & n1) < 0)
{
// Too big an angle. Do not simplify.
}
else
{
info.setPoint
(
@ -332,18 +332,18 @@ Foam::pointIndexHit Foam::isoSurfaceCell::collapseSurface
if (nZones == 1)
{
// Check that all normals make a decent angle
//scalar minCos = GREAT;
//const vector& n0 = surf.faceNormals()[0];
//for (label i = 1; i < surf.size(); i++)
//{
// scalar cosAngle = (n0 & surf.faceNormals()[i]);
// if (cosAngle < minCos)
// {
// minCos = cosAngle;
// }
//}
//
//if (minCos > 0)
scalar minCos = GREAT;
const vector& n0 = surf.faceNormals()[0];
for (label i = 1; i < surf.size(); i++)
{
scalar cosAngle = (n0 & surf.faceNormals()[i]);
if (cosAngle < minCos)
{
minCos = cosAngle;
}
}
if (minCos > 0)
{
info.setPoint(calcCentre(surf));
info.setHit();
@ -443,7 +443,7 @@ void Foam::isoSurfaceCell::calcSnappedCc
label faceI = cFaces[cFaceI];
const face& f = mesh_.faces()[faceI];
// Do a tetrahedrisation. Each face to cc becomes pyr.
// Do a tetrahedralisation. Each face to cc becomes pyr.
// Each pyr gets split into tets by diagonalisation
// of face.
@ -467,14 +467,18 @@ void Foam::isoSurfaceCell::calcSnappedCc
&& (s[2] >= 0.0 && s[2] <= 0.5)
)
{
if (mesh_.faceOwner()[faceI] == cellI)
if
(
(mesh_.faceOwner()[faceI] == cellI)
== (cVal >= pVals[tri[0]])
)
{
localTris.append
(
labelledTri
(
pointToLocal[tri[0]],
pointToLocal[tri[1]],
pointToLocal[tri[0]],
pointToLocal[tri[2]],
0
)
@ -486,8 +490,8 @@ void Foam::isoSurfaceCell::calcSnappedCc
(
labelledTri
(
pointToLocal[tri[1]],
pointToLocal[tri[0]],
pointToLocal[tri[1]],
pointToLocal[tri[2]],
0
)
@ -575,7 +579,11 @@ void Foam::isoSurfaceCell::genPointTris
point p1 = (1.0-s[1])*pts[pointI] + s[1]*pts[c];
point p2 = (1.0-s[2])*pts[pointI] + s[2]*cc[cellI];
if (mesh_.faceOwner()[faceI] == cellI)
if
(
(mesh_.faceOwner()[faceI] == cellI)
== (pointValues[pointI] > cellValues[cellI])
)
{
localTriPoints.append(p0);
localTriPoints.append(p1);
@ -754,7 +762,7 @@ void Foam::isoSurfaceCell::calcSnappedPoint
}
// Loop over all pointCells (by using pointFaces)
// Do a pointCells walk (by using pointFaces)
localPointCells.clear();
localTriPoints.clear();
@ -766,6 +774,8 @@ void Foam::isoSurfaceCell::calcSnappedPoint
if (isTet.get(own) == 1)
{
// Since tets have no cell centre to include make sure
// we only generate a triangle once per point.
if (localPointCells.insert(own))
{
genPointTris(pVals, pointI, faceI, own, localTriPoints);
@ -848,20 +858,19 @@ void Foam::isoSurfaceCell::calcSnappedPoint
if (nZones == 1)
{
//// Check that all normals make a decent angle
//scalar minCos = GREAT;
//const vector& n0 = surf.faceNormals()[0];
//for (label i = 1; i < surf.size(); i++)
//{
// const vector& n = surf.faceNormals()[i];
// scalar cosAngle = (n0 & n);
// if (cosAngle < minCos)
// {
// minCos = cosAngle;
// }
//}
//
//if (minCos > 0)
// Check that all normals make a decent angle
scalar minCos = GREAT;
const vector& n0 = surf.faceNormals()[0];
for (label i = 1; i < surf.size(); i++)
{
const vector& n = surf.faceNormals()[i];
scalar cosAngle = (n0 & n);
if (cosAngle < minCos)
{
minCos = cosAngle;
}
}
if (minCos > 0)
{
collapsedPoint[pointI] = calcCentre(surf);
}
@ -882,7 +891,9 @@ void Foam::isoSurfaceCell::calcSnappedPoint
forAll(collapsedPoint, pointI)
{
if (collapsedPoint[pointI] != greatPoint)
// Cannot do == comparison since might be transformed so have
// truncation errors.
if (magSqr(collapsedPoint[pointI]) < 0.5*magSqr(greatPoint))
{
snappedPoint[pointI] = snappedPoints.size();
snappedPoints.append(collapsedPoint[pointI]);
@ -1208,142 +1219,142 @@ void Foam::isoSurfaceCell::calcAddressing
}
void Foam::isoSurfaceCell::walkOrientation
(
const triSurface& surf,
const List<FixedList<label, 3> >& faceEdges,
const labelList& edgeFace0,
const labelList& edgeFace1,
const label seedTriI,
labelList& flipState
)
{
// Do walk for consistent orientation.
DynamicList<label> changedFaces(surf.size());
changedFaces.append(seedTriI);
while (changedFaces.size())
{
DynamicList<label> newChangedFaces(changedFaces.size());
forAll(changedFaces, i)
{
label triI = changedFaces[i];
const labelledTri& tri = surf[triI];
const FixedList<label, 3>& fEdges = faceEdges[triI];
forAll(fEdges, fp)
{
label edgeI = fEdges[fp];
// my points:
label p0 = tri[fp];
label p1 = tri[tri.fcIndex(fp)];
label nbrI =
(
edgeFace0[edgeI] != triI
? edgeFace0[edgeI]
: edgeFace1[edgeI]
);
if (nbrI != -1 && flipState[nbrI] == -1)
{
const labelledTri& nbrTri = surf[nbrI];
// nbr points
label nbrFp = findIndex(nbrTri, p0);
label nbrP1 = nbrTri[nbrTri.rcIndex(nbrFp)];
bool sameOrientation = (p1 == nbrP1);
if (flipState[triI] == 0)
{
flipState[nbrI] = (sameOrientation ? 0 : 1);
}
else
{
flipState[nbrI] = (sameOrientation ? 1 : 0);
}
newChangedFaces.append(nbrI);
}
}
}
changedFaces.transfer(newChangedFaces);
}
}
void Foam::isoSurfaceCell::orientSurface
(
triSurface& surf,
const List<FixedList<label, 3> >& faceEdges,
const labelList& edgeFace0,
const labelList& edgeFace1,
const Map<labelList>& edgeFacesRest
)
{
// -1 : unvisited
// 0 : leave as is
// 1 : flip
labelList flipState(surf.size(), -1);
label seedTriI = 0;
while (true)
{
// Find first unvisited triangle
for
(
;
seedTriI < surf.size() && flipState[seedTriI] != -1;
seedTriI++
)
{}
if (seedTriI == surf.size())
{
break;
}
// Note: Determine orientation of seedTriI?
// for now assume it is ok
flipState[seedTriI] = 0;
walkOrientation
(
surf,
faceEdges,
edgeFace0,
edgeFace1,
seedTriI,
flipState
);
}
// Do actual flipping
surf.clearOut();
forAll(surf, triI)
{
if (flipState[triI] == 1)
{
labelledTri tri(surf[triI]);
surf[triI][0] = tri[0];
surf[triI][1] = tri[2];
surf[triI][2] = tri[1];
}
else if (flipState[triI] == -1)
{
FatalErrorIn
(
"isoSurfaceCell::orientSurface(triSurface&, const label)"
) << "problem" << abort(FatalError);
}
}
}
//void Foam::isoSurfaceCell::walkOrientation
//(
// const triSurface& surf,
// const List<FixedList<label, 3> >& faceEdges,
// const labelList& edgeFace0,
// const labelList& edgeFace1,
// const label seedTriI,
// labelList& flipState
//)
//{
// // Do walk for consistent orientation.
// DynamicList<label> changedFaces(surf.size());
//
// changedFaces.append(seedTriI);
//
// while (changedFaces.size())
// {
// DynamicList<label> newChangedFaces(changedFaces.size());
//
// forAll(changedFaces, i)
// {
// label triI = changedFaces[i];
// const labelledTri& tri = surf[triI];
// const FixedList<label, 3>& fEdges = faceEdges[triI];
//
// forAll(fEdges, fp)
// {
// label edgeI = fEdges[fp];
//
// // my points:
// label p0 = tri[fp];
// label p1 = tri[tri.fcIndex(fp)];
//
// label nbrI =
// (
// edgeFace0[edgeI] != triI
// ? edgeFace0[edgeI]
// : edgeFace1[edgeI]
// );
//
// if (nbrI != -1 && flipState[nbrI] == -1)
// {
// const labelledTri& nbrTri = surf[nbrI];
//
// // nbr points
// label nbrFp = findIndex(nbrTri, p0);
// label nbrP1 = nbrTri[nbrTri.rcIndex(nbrFp)];
//
// bool sameOrientation = (p1 == nbrP1);
//
// if (flipState[triI] == 0)
// {
// flipState[nbrI] = (sameOrientation ? 0 : 1);
// }
// else
// {
// flipState[nbrI] = (sameOrientation ? 1 : 0);
// }
// newChangedFaces.append(nbrI);
// }
// }
// }
//
// changedFaces.transfer(newChangedFaces);
// }
//}
//
//
//void Foam::isoSurfaceCell::orientSurface
//(
// triSurface& surf,
// const List<FixedList<label, 3> >& faceEdges,
// const labelList& edgeFace0,
// const labelList& edgeFace1,
// const Map<labelList>& edgeFacesRest
//)
//{
// // -1 : unvisited
// // 0 : leave as is
// // 1 : flip
// labelList flipState(surf.size(), -1);
//
// label seedTriI = 0;
//
// while (true)
// {
// // Find first unvisited triangle
// for
// (
// ;
// seedTriI < surf.size() && flipState[seedTriI] != -1;
// seedTriI++
// )
// {}
//
// if (seedTriI == surf.size())
// {
// break;
// }
//
// // Note: Determine orientation of seedTriI?
// // for now assume it is ok
// flipState[seedTriI] = 0;
//
// walkOrientation
// (
// surf,
// faceEdges,
// edgeFace0,
// edgeFace1,
// seedTriI,
// flipState
// );
// }
//
// // Do actual flipping
// surf.clearOut();
// forAll(surf, triI)
// {
// if (flipState[triI] == 1)
// {
// labelledTri tri(surf[triI]);
//
// surf[triI][0] = tri[0];
// surf[triI][1] = tri[2];
// surf[triI][2] = tri[1];
// }
// else if (flipState[triI] == -1)
// {
// FatalErrorIn
// (
// "isoSurfaceCell::orientSurface(triSurface&, const label)"
// ) << "problem" << abort(FatalError);
// }
// }
//}
// Checks if triangle is connected through edgeI only.
@ -1625,7 +1636,7 @@ Foam::isoSurfaceCell::isoSurfaceCell
(
stitchTriPoints
(
true, // check for duplicate tris
regularise, // check for duplicate tris
triPoints,
triPointMergeMap_, // unmerged to merged point
triMap
@ -1657,7 +1668,7 @@ Foam::isoSurfaceCell::isoSurfaceCell
}
if (false)
if (regularise)
{
List<FixedList<label, 3> > faceEdges;
labelList edgeFace0, edgeFace1;
@ -1717,7 +1728,7 @@ Foam::isoSurfaceCell::isoSurfaceCell
inplaceRenumber(reversePointMap, triPointMergeMap_);
}
orientSurface(*this, faceEdges, edgeFace0, edgeFace1, edgeFacesRest);
//orientSurface(*this, faceEdges, edgeFace0, edgeFace1, edgeFacesRest);
}
}

View File

@ -214,15 +214,19 @@ class isoSurfaceCell
void generateTriPoints
(
const DynamicList<Type>& snapped,
const scalar isoVal0,
const scalar s0,
const Type& p0,
const label p0Index,
const scalar isoVal1,
const scalar s1,
const Type& p1,
const label p1Index,
const scalar isoVal2,
const scalar s2,
const Type& p2,
const label p2Index,
const scalar isoVal3,
const scalar s3,
const Type& p3,
const label p3Index,
@ -267,26 +271,26 @@ class isoSurfaceCell
Map<labelList>& edgeFacesRest
) const;
//- Determine orientation
static void walkOrientation
(
const triSurface& surf,
const List<FixedList<label, 3> >& faceEdges,
const labelList& edgeFace0,
const labelList& edgeFace1,
const label seedTriI,
labelList& flipState
);
////- Determine orientation
//static void walkOrientation
//(
// const triSurface& surf,
// const List<FixedList<label, 3> >& faceEdges,
// const labelList& edgeFace0,
// const labelList& edgeFace1,
// const label seedTriI,
// labelList& flipState
//);
//- Orient surface
static void orientSurface
(
triSurface&,
const List<FixedList<label, 3> >& faceEdges,
const labelList& edgeFace0,
const labelList& edgeFace1,
const Map<labelList>& edgeFacesRest
);
////- Orient surface
//static void orientSurface
//(
// triSurface&,
// const List<FixedList<label, 3> >& faceEdges,
// const labelList& edgeFace0,
// const labelList& edgeFace1,
// const Map<labelList>& edgeFacesRest
//);
//- Is triangle (given by 3 edges) not fully connected?
static bool danglingTriangle

View File

@ -76,23 +76,27 @@ void Foam::isoSurfaceCell::generateTriPoints
(
const DynamicList<Type>& snapped,
const scalar isoVal0,
const scalar s0,
const Type& p0,
const label p0Index,
const scalar isoVal1,
const scalar s1,
const Type& p1,
const label p1Index,
const scalar isoVal2,
const scalar s2,
const Type& p2,
const label p2Index,
const scalar isoVal3,
const scalar s3,
const Type& p3,
const label p3Index,
DynamicList<Type>& points
DynamicList<Type>& pts
) const
{
int triIndex = 0;
@ -122,77 +126,160 @@ void Foam::isoSurfaceCell::generateTriPoints
case 0x0E:
case 0x01:
points.append(generatePoint(snapped,s0,p0,p0Index,s1,p1,p1Index));
points.append(generatePoint(snapped,s0,p0,p0Index,s2,p2,p2Index));
points.append(generatePoint(snapped,s0,p0,p0Index,s3,p3,p3Index));
{
// 0 is common point. Orient such that normal points in positive
// gradient direction
if (isoVal0 >= isoVal1)
{
pts.append(generatePoint(snapped,s0,p0,p0Index,s1,p1,p1Index));
pts.append(generatePoint(snapped,s0,p0,p0Index,s2,p2,p2Index));
pts.append(generatePoint(snapped,s0,p0,p0Index,s3,p3,p3Index));
}
else
{
pts.append(generatePoint(snapped,s0,p0,p0Index,s2,p2,p2Index));
pts.append(generatePoint(snapped,s0,p0,p0Index,s1,p1,p1Index));
pts.append(generatePoint(snapped,s0,p0,p0Index,s3,p3,p3Index));
}
}
break;
case 0x0D:
case 0x02:
points.append(generatePoint(snapped,s1,p1,p1Index,s0,p0,p0Index));
points.append(generatePoint(snapped,s1,p1,p1Index,s3,p3,p3Index));
points.append(generatePoint(snapped,s1,p1,p1Index,s2,p2,p2Index));
{
// 1 is common point
if (isoVal1 >= isoVal0)
{
pts.append(generatePoint(snapped,s1,p1,p1Index,s0,p0,p0Index));
pts.append(generatePoint(snapped,s1,p1,p1Index,s3,p3,p3Index));
pts.append(generatePoint(snapped,s1,p1,p1Index,s2,p2,p2Index));
}
else
{
pts.append(generatePoint(snapped,s1,p1,p1Index,s3,p3,p3Index));
pts.append(generatePoint(snapped,s1,p1,p1Index,s0,p0,p0Index));
pts.append(generatePoint(snapped,s1,p1,p1Index,s2,p2,p2Index));
}
}
break;
case 0x0C:
case 0x03:
{
Type tp1 = generatePoint(snapped,s0,p0,p0Index,s2,p2,p2Index);
Type tp2 = generatePoint(snapped,s1,p1,p1Index,s3,p3,p3Index);
Type s02 = generatePoint(snapped,s0,p0,p0Index,s2,p2,p2Index);
Type s13 = generatePoint(snapped,s1,p1,p1Index,s3,p3,p3Index);
points.append(generatePoint(snapped,s0,p0,p0Index,s3,p3,p3Index));
points.append(tp1);
points.append(tp2);
points.append(tp2);
points.append(generatePoint(snapped,s1,p1,p1Index,s2,p2,p2Index));
points.append(tp1);
if (isoVal0 >= isoVal3)
{
pts.append(generatePoint(snapped,s0,p0,p0Index,s3,p3,p3Index));
pts.append(s02);
pts.append(s13);
pts.append(s13);
pts.append(generatePoint(snapped,s1,p1,p1Index,s2,p2,p2Index));
pts.append(s02);
}
else
{
pts.append(s02);
pts.append(generatePoint(snapped,s0,p0,p0Index,s3,p3,p3Index));
pts.append(s13);
pts.append(generatePoint(snapped,s1,p1,p1Index,s2,p2,p2Index));
pts.append(s13);
pts.append(s02);
}
}
break;
case 0x0B:
case 0x04:
{
points.append(generatePoint(snapped,s2,p2,p2Index,s0,p0,p0Index));
points.append(generatePoint(snapped,s2,p2,p2Index,s1,p1,p1Index));
points.append(generatePoint(snapped,s2,p2,p2Index,s3,p3,p3Index));
// 2 is common point
if (isoVal2 >= isoVal0)
{
pts.append(generatePoint(snapped,s2,p2,p2Index,s0,p0,p0Index));
pts.append(generatePoint(snapped,s2,p2,p2Index,s1,p1,p1Index));
pts.append(generatePoint(snapped,s2,p2,p2Index,s3,p3,p3Index));
}
else
{
pts.append(generatePoint(snapped,s2,p2,p2Index,s1,p1,p1Index));
pts.append(generatePoint(snapped,s2,p2,p2Index,s0,p0,p0Index));
pts.append(generatePoint(snapped,s2,p2,p2Index,s3,p3,p3Index));
}
}
break;
case 0x0A:
case 0x05:
{
Type tp0 = generatePoint(snapped,s0,p0,p0Index,s1,p1,p1Index);
Type tp1 = generatePoint(snapped,s2,p2,p2Index,s3,p3,p3Index);
Type s01 = generatePoint(snapped,s0,p0,p0Index,s1,p1,p1Index);
Type s23 = generatePoint(snapped,s2,p2,p2Index,s3,p3,p3Index);
points.append(tp0);
points.append(tp1);
points.append(generatePoint(snapped,s0,p0,p0Index,s3,p3,p3Index));
points.append(tp0);
points.append(generatePoint(snapped,s1,p1,p1Index,s2,p2,p2Index));
points.append(tp1);
if (isoVal3 >= isoVal0)
{
pts.append(s01);
pts.append(s23);
pts.append(generatePoint(snapped,s0,p0,p0Index,s3,p3,p3Index));
pts.append(s01);
pts.append(generatePoint(snapped,s1,p1,p1Index,s2,p2,p2Index));
pts.append(s23);
}
else
{
pts.append(s23);
pts.append(s01);
pts.append(generatePoint(snapped,s0,p0,p0Index,s3,p3,p3Index));
pts.append(generatePoint(snapped,s1,p1,p1Index,s2,p2,p2Index));
pts.append(s01);
pts.append(s23);
}
}
break;
case 0x09:
case 0x06:
{
Type tp0 = generatePoint(snapped,s0,p0,p0Index,s1,p1,p1Index);
Type tp1 = generatePoint(snapped,s2,p2,p2Index,s3,p3,p3Index);
Type s01 = generatePoint(snapped,s0,p0,p0Index,s1,p1,p1Index);
Type s23 = generatePoint(snapped,s2,p2,p2Index,s3,p3,p3Index);
points.append(tp0);
points.append(generatePoint(snapped,s1,p1,p1Index,s3,p3,p3Index));
points.append(tp1);
points.append(tp0);
points.append(generatePoint(snapped,s0,p0,p0Index,s2,p2,p2Index));
points.append(tp1);
if (isoVal3 >= isoVal1)
{
pts.append(s01);
pts.append(generatePoint(snapped,s1,p1,p1Index,s3,p3,p3Index));
pts.append(s23);
pts.append(s01);
pts.append(generatePoint(snapped,s0,p0,p0Index,s2,p2,p2Index));
pts.append(s23);
}
else
{
pts.append(generatePoint(snapped,s1,p1,p1Index,s3,p3,p3Index));
pts.append(s01);
pts.append(s23);
pts.append(generatePoint(snapped,s0,p0,p0Index,s2,p2,p2Index));
pts.append(s01);
pts.append(s23);
}
}
break;
case 0x07:
case 0x08:
points.append(generatePoint(snapped,s3,p3,p3Index,s0,p0,p0Index));
points.append(generatePoint(snapped,s3,p3,p3Index,s2,p2,p2Index));
points.append(generatePoint(snapped,s3,p3,p3Index,s1,p1,p1Index));
{
// 3 is common point
if (isoVal3 >= isoVal0)
{
pts.append(generatePoint(snapped,s3,p3,p3Index,s0,p0,p0Index));
pts.append(generatePoint(snapped,s3,p3,p3Index,s2,p2,p2Index));
pts.append(generatePoint(snapped,s3,p3,p3Index,s1,p1,p1Index));
}
else
{
pts.append(generatePoint(snapped,s3,p3,p3Index,s2,p2,p2Index));
pts.append(generatePoint(snapped,s3,p3,p3Index,s0,p0,p0Index));
pts.append(generatePoint(snapped,s3,p3,p3Index,s1,p1,p1Index));
}
}
break;
}
}
@ -252,18 +339,23 @@ void Foam::isoSurfaceCell::generateTriPoints
generateTriPoints
(
snappedPoints,
pVals_[f0[1]],
pVals[f0[1]],
pCoords[f0[1]],
snappedPoint[f0[1]],
pVals_[f0[0]],
pVals[f0[0]],
pCoords[f0[0]],
snappedPoint[f0[0]],
pVals_[f0[2]],
pVals[f0[2]],
pCoords[f0[2]],
snappedPoint[f0[2]],
pVals_[oppositeI],
pVals[oppositeI],
pCoords[oppositeI],
snappedPoint[oppositeI],
@ -276,18 +368,23 @@ void Foam::isoSurfaceCell::generateTriPoints
generateTriPoints
(
snappedPoints,
pVals_[f0[0]],
pVals[f0[0]],
pCoords[f0[0]],
snappedPoint[f0[0]],
pVals_[f0[1]],
pVals[f0[1]],
pCoords[f0[1]],
snappedPoint[f0[1]],
pVals_[f0[2]],
pVals[f0[2]],
pCoords[f0[2]],
snappedPoint[f0[2]],
pVals_[oppositeI],
pVals[oppositeI],
pCoords[oppositeI],
snappedPoint[oppositeI],
@ -321,18 +418,22 @@ void Foam::isoSurfaceCell::generateTriPoints
(
snappedPoints,
pVals_[tri[1]],
pVals[tri[1]],
pCoords[tri[1]],
snappedPoint[tri[1]],
pVals_[tri[0]],
pVals[tri[0]],
pCoords[tri[0]],
snappedPoint[tri[0]],
pVals_[tri[2]],
pVals[tri[2]],
pCoords[tri[2]],
snappedPoint[tri[2]],
cVals_[cellI],
cVals[cellI],
cCoords[cellI],
snappedCc[cellI],
@ -346,18 +447,22 @@ void Foam::isoSurfaceCell::generateTriPoints
(
snappedPoints,
pVals_[tri[0]],
pVals[tri[0]],
pCoords[tri[0]],
snappedPoint[tri[0]],
pVals_[tri[1]],
pVals[tri[1]],
pCoords[tri[1]],
snappedPoint[tri[1]],
pVals_[tri[2]],
pVals[tri[2]],
pCoords[tri[2]],
snappedPoint[tri[2]],
cVals_[cellI],
cVals[cellI],
cCoords[cellI],
snappedCc[cellI],