/// <summary>
/// Duplicate of the inlined version!!!!!! DANGEROUS
/// </summary>
/// <param name="grid"></param>
/// <param name="signs"></param>
/// <param name="cube"></param>
/// <returns></returns>
public static Vector3 calculateQefPoint(AbstractHermiteGrid grid, bool[] signs, Point3 cube)
{
//TODO: this can be optimized probably!
var changingEdges = grid.GetAllEdgeIds().Where(e =>
{
var ids = grid.GetEdgeVertexIds(e);
return(signs[ids[0]] != signs[ids[1]]);
}).ToArray();
var positions = changingEdges.Select(e => grid.GetEdgeIntersectionCubeLocal(cube, e)).ToArray();
var normals = changingEdges.Select(e => grid.GetEdgeNormal(cube, e)).ToArray();
var meanIntersectionPoint = positions.Aggregate((a, b) => a + b) * (1f / positions.Length);
var leastsquares = QEFCalculator.CalculateCubeQEF(normals, positions, meanIntersectionPoint);
var qefPoint = new Vector3(leastsquares[0], leastsquares[1], leastsquares[2]);
if (qefPoint[0] < 0 || qefPoint[1] < 0 || qefPoint[2] < 0 ||
qefPoint[0] > 1 || qefPoint[1] > 1 || qefPoint[2] > 1)
{
qefPoint = meanIntersectionPoint; // I found someone online who does this too: http://ngildea.blogspot.be/2014/11/implementing-dual-contouring.html
//TODO: should probably fix the QEF, maybe by removing singular values
//ERROR!
//throw new InvalidOperationException("QEF returned solution outside of cube");
}
return(qefPoint);
}
public IMesh buildMesh(AbstractHermiteGrid grid)
{
var rawMesh = buildRawMesh(grid);
var builder = new MeshBuilder();
var mat = builder.CreateMaterial();
mat.ColoredMaterial = true;
mat.DiffuseColor = Color.Green.dx().xna();
builder.AddCustom(rawMesh.Positions, rawMesh.Normals, rawMesh.Texcoords);
var mesh = builder.CreateMesh();
return(mesh);
}
public RawMeshData buildRawMesh(AbstractHermiteGrid grid)
{
var vertices = new List <Vector3>();
var indices = new List <int>();
var algo = new DualContouringAlgorithm();
algo.GenerateSurface(vertices, indices, grid);
var triangleNormals = generateTriangleNormals(indices, vertices);
var ret = new RawMeshData(indices.Select(i => vertices[i].dx()).ToArray(),
indices.Select((index, numIndex) => triangleNormals[numIndex / 3].dx()).ToArray(),
indices.Select(i => new Vector2().dx()).ToArray(),
indices.Select(i => new Vector3().dx()).ToArray());
return(ret);
}
public DifferenceGrid(AbstractHermiteGrid a, AbstractHermiteGrid b, Point3 offset)
{
this.a = a;
this.b = b;
this.offset = offset;
}
public DifferenceGrid(AbstractHermiteGrid a, AbstractHermiteGrid b) : this(a, b, new Point3())
{
}
private static void createQEFVertices(List <Vector3> vertices, AbstractHermiteGrid grid, Dictionary <Point3, int> vIndex)
{
var cubeSigns = new bool[8];
var edgeVertexIds = grid.GetAllEdgeIds().Select(e => grid.GetEdgeVertexIds(e)).ToArray();
var edgeOffsets = grid.GetAllEdgeIds().Select(e => grid.GetEdgeOffsets(e)).ToArray();
int changingEdgeCount = 0;
int[] changingEdges = new int[12];
Vector3[] positions = new Vector3[12];
Vector3[] normals = new Vector3[12];
grid.ForEachCube(curr =>
{
grid.GetCubeSigns(curr, cubeSigns);
bool allTrue = true;
bool allFalse = true;
for (int i = 0; i < 8; i++)
{
var sign = cubeSigns[i];
allTrue = sign && allTrue;
allFalse = !sign && allFalse;
}
if (allTrue || allFalse)
{
return; // no sign changes
}
//if ( cubeSigns.All( v => v ) || !cubeSigns.Any( v => v ) ) return; // no sign changes
changingEdgeCount = 0;
for (int i = 0; i < edgeVertexIds.Length; i++)
{
var ids = edgeVertexIds[i];
if (cubeSigns[ids[0]] == cubeSigns[ids[1]])
{
continue;
}
changingEdges[changingEdgeCount] = i;
changingEdgeCount++;
}
for (int i = 0; i < changingEdgeCount; i++)
{
var iEdgeId = changingEdges[i];
var iEdgeOffsets = edgeOffsets[iEdgeId];
var iEdgeData = grid.getEdgeData(curr, iEdgeId);
positions[i] = Vector3.Lerp(iEdgeOffsets[0], iEdgeOffsets[1], iEdgeData.W);
normals[i] = iEdgeData.TakeXYZ();
}
var meanIntersectionPoint = new Vector3();
for (int i = 0; i < changingEdgeCount; i++)
{
meanIntersectionPoint = meanIntersectionPoint + positions[i];
}
meanIntersectionPoint = meanIntersectionPoint * (1f / changingEdgeCount);
var leastsquares = QEFCalculator.CalculateCubeQEF(normals, positions, changingEdgeCount, meanIntersectionPoint);
var qefPoint1 = new Vector3();
qefPoint1 = new Vector3(leastsquares[0], leastsquares[1], leastsquares[2]);
if (qefPoint1[0] < 0 || qefPoint1[1] < 0 || qefPoint1[2] < 0 ||
qefPoint1[0] > 1 || qefPoint1[1] > 1 || qefPoint1[2] > 1)
{
qefPoint1 = meanIntersectionPoint; // I found someone online who does this too: http://ngildea.blogspot.be/2014/11/implementing-dual-contouring.html
//TODO: should probably fix the QEF, maybe by removing singular values
//ERROR!
//throw new InvalidOperationException("QEF returned solution outside of cube");
}
vIndex[curr] = vertices.Count;
vertices.Add(qefPoint1 + (Vector3)curr.ToVector3());
});
}
private static void buildTriangleIndices(List <int> indices, AbstractHermiteGrid grid, Dictionary <Point3, int> vIndex, List <DCVoxelMaterial> triangleMaterials)
{
// Possible quads
var offsets = new[] { Point3.UnitX(), Point3.UnitY(), Point3.UnitZ(), };
var rights = new[] { Point3.UnitY(), Point3.UnitZ(), Point3.UnitX(), };
var ups = new[] { Point3.UnitZ(), Point3.UnitX(), Point3.UnitY(), };
var unitEdges = offsets.Select(o => grid.GetEdgeId(new Point3(), o)).ToArray();
//TODO: should be unit test
for (int i = 0; i < 3; i++)
{
Debug.Assert(grid.GetEdgeOffsets(unitEdges[i])[0] == new Point3());
Debug.Assert(grid.GetEdgeOffsets(unitEdges[i])[1] == offsets[i]);
}
grid.ForEachCube(o =>
{
if (!vIndex.ContainsKey(o))
{
return; // No sign changes so no relevant edges here
}
for (int i = 0; i < 3; i++)
{
var edgeId = unitEdges[i];
if (!grid.HasEdgeData(o, edgeId))
{
continue;
}
// Generate quad
var right = rights[i];
var up = ups[i];
DCVoxelMaterial mat;
var signs = grid.GetEdgeSigns(o, edgeId);
// Face towards air by swapping right and up
if (signs[1])
{
var swap = right;
right = up;
up = swap;
mat = grid.GetMaterial(o + offsets[i]);
}
else
{
mat = grid.GetMaterial(o);
}
// build quad faces
var a = o - right;
var b = o - up;
var ab = o - right - up;
if (!new[] { a, b, ab }.All(vIndex.ContainsKey))
{
continue; // This should never happen unless on the side of the field, maybe add a check for this?
}
indices.AddRange(new[] { vIndex[o], vIndex[a], vIndex[ab] });
indices.AddRange(new[] { vIndex[o], vIndex[ab], vIndex[b] });
triangleMaterials.Add(mat);
triangleMaterials.Add(mat);
}
});
}
public void GenerateSurface(List <Vector3> vertices, List <int> indices, List <DCVoxelMaterial> triangleMaterials, AbstractHermiteGrid grid)
{
var vIndex = new Dictionary <Point3, int>();
createQEFVertices(vertices, grid, vIndex);
buildTriangleIndices(indices, grid, vIndex, triangleMaterials);
}
public void GenerateSurface(List <Vector3> vertices, List <int> indices, AbstractHermiteGrid grid)
{
var mats = new List <DCVoxelMaterial>();
GenerateSurface(vertices, indices, mats, grid);
}
public static HermiteDataGrid CopyGrid(AbstractHermiteGrid grid)
{
var ret = new HermiteDataGrid();
Point3 storageSize = grid.Dimensions + new Point3(1, 1, 1);
ret.cells = new Array3D <Vertex>(storageSize);
for (int x = 0; x < storageSize.X; x++)
{
for (int y = 0; y < storageSize.Y; y++)
{
for (int z = 0; z < storageSize.Z; z++)
{
var p = new Point3(x, y, z);
ret.cells[p] = new Vertex()
{
Sign = grid.GetSign(p),
Material = grid.GetMaterial(p)
/*EdgeData = ret.dirs.Select(dir =>
* {
* var edgeId = grid.GetEdgeId(p, p + dir);
* return grid.HasEdgeData(p, edgeId) ? grid.getEdgeData(p, edgeId) : new Vector4();
* }).ToArray()*/
};
}
}
}
//ret.ForEachGridPoint(p =>
// {
// ret.cells[p] = new Vertex()
// {
// Sign = grid.GetSign(p),
// /*EdgeData = ret.dirs.Select(dir =>
// {
// var edgeId = grid.GetEdgeId(p, p + dir);
// return grid.HasEdgeData(p, edgeId) ? grid.getEdgeData(p, edgeId) : new Vector4();
// }).ToArray()*/
// };
// });
var dirs = ret.dirs;
var dirEdges = dirs.Select(i => ret.GetEdgeId(new Point3(), i)).ToArray();
ret.ForEachGridPoint(p =>
{
var gridPointP = ret.cells.GetFast(p.X, p.Y, p.Z);
gridPointP.EdgeData = new Vector4[3];
for (int i = 0; i < 3; i++)
{
var dir = dirs[i];
var edgeId = dirEdges[i];
Point3 endPoint = p + dir;
// Optimization: direclty read from already constructed data
if (!ret.cells.InArray(endPoint))
{
continue;
}
if (gridPointP.Sign == ret.cells.GetFast(endPoint.X, endPoint.Y, endPoint.Z).Sign)
{
continue;
}
if (!grid.HasEdgeData(p, edgeId))
{
// This can normally not happen, since we check if there is a sign difference by looking at the already evaluated density points.
// If this would be true there is some problem with the manual determining of the existence of an edge.
//throw new InvalidOperationException();
continue;
}
gridPointP.EdgeData[i] = grid.getEdgeData(p, edgeId);
}
/*val.EdgeData = ret.dirs.Select( dir =>
* {
*
* } ).ToArray();*/
ret.cells[p] = gridPointP;
});
return(ret);
}
public UnionGrid(AbstractHermiteGrid a, AbstractHermiteGrid b) : this(a, b, new Point3())
{
}
public UnionGrid(AbstractHermiteGrid a, AbstractHermiteGrid b, Point3 offset)
{
_offset = offset;
this.a = a;
this.b = b;
}