public void InitHead(cFace h)
{
head = new cFace();
head = h;
head.next = head.prev = head;
n = 1;
}
/*---------------------------------------------------------------------
* Computes the z-coordinate of the vector normal to face f.
* ---------------------------------------------------------------------*/
private double Normz(cFace f)
{
cVertex a, b, c;
/*double ba0, ca1, ba1, ca0,z;*/
a = f.Vertices[0];
b = f.Vertices[1];
c = f.Vertices[2];
/*
* ba0 = ( b.v.x - a.v.x );
* ca1 = ( c.v.y - a.v.y );
* ba1 = ( b.v.y - a.v.y );
* ca0 = ( c.v.x - a.v.x );
*
* z = ba0 * ca1 - ba1 * ca0;
* System.Diagnostics.Debug.WriteLine("Normz = %lf=%g\n", z,z);
* if ( z > 0.0 ) return 1;
* else if ( z < 0.0 ) return -1;
* else return 0;
*/
return
((b.Point.X - a.Point.X) * (c.Point.Y - a.Point.Y) -
(b.Point.Y - a.Point.Y) * (c.Point.X - a.Point.X));
}
private void LowerFaces()
{
cFace f = Faces.head;
/*int z;*/
int Flower = 0; /* Total number of lower faces. */
do
{
/*z = Normz( f );
* if ( z < 0 ) {*/
if (Normz(f) < 0)
{
Flower++;
f.lower = true;
System.Diagnostics.Debug.WriteLine("lower face indices: " + f.Vertices[0].IndexInPointCloud + ", " +
f.Vertices[1].IndexInPointCloud + ", " + f.Vertices[2].IndexInPointCloud);
}
else
{
f.lower = false;
}
f = f.next;
} while (f != Faces.head);
System.Diagnostics.Debug.WriteLine("A total of " + Flower + " lower faces identified.");
}
/*---------------------------------------------------------------------
* Volumed is the same as VolumeSign but computed with doubles. For
* protection against overflow.
* ---------------------------------------------------------------------*/
private double Volumed(cFace f, cVertex p)
{
double vol;
double ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz;
double bxdx, bydy, bzdz, cxdx, cydy, czdz;
ax = f.Vertices[0].Point.X;
ay = f.Vertices[0].Point.Y;
az = f.Vertices[0].Point.Z;
bx = f.Vertices[1].Point.X;
by = f.Vertices[1].Point.Y;
bz = f.Vertices[1].Point.Z;
cx = f.Vertices[2].Point.X;
cy = f.Vertices[2].Point.Y;
cz = f.Vertices[2].Point.Z;
dx = p.Point.X;
dy = p.Point.Y;
dz = p.Point.Z;
bxdx = bx - dx;
bydy = by - dy;
bzdz = bz - dz;
cxdx = cx - dx;
cydy = cy - dy;
czdz = cz - dz;
vol = (az - dz) * (bxdx * cydy - bydy * cxdx)
+ (ay - dy) * (bzdz * cxdx - bxdx * czdz)
+ (ax - dx) * (bydy * czdz - bzdz * cydy);
return(vol);
}
/*---------------------------------------------------------------------
* MakeFace creates a new face structure from three pointCloud (in ccw
* order). It returns a pointer to the face.
* ---------------------------------------------------------------------*/
private cFace MakeFace(cVertex v0, cVertex v1, cVertex v2, cFace fold)
{
cFace f;
cEdge e0, e1, e2;
/* Create edges of the initial triangle. */
if (fold == null)
{
e0 = Edges.MakeNullEdge();
e1 = Edges.MakeNullEdge();
e2 = Edges.MakeNullEdge();
}
else
{ /* Copy from fold, in reverse order. */
e0 = fold.Edges[2];
e1 = fold.Edges[1];
e2 = fold.Edges[0];
}
e0.Endpts[0] = v0; e0.Endpts[1] = v1;
e1.Endpts[0] = v1; e1.Endpts[1] = v2;
e2.Endpts[0] = v2; e2.Endpts[1] = v0;
/* Create face for triangle. */
f = Faces.MakeNullFace();
f.Edges[0] = e0; f.Edges[1] = e1; f.Edges[2] = e2;
f.Vertices[0] = v0; f.Vertices[1] = v1; f.Vertices[2] = v2;
/* Link edges to face. */
e0.Adjface[0] = e1.Adjface[0] = e2.Adjface[0] = f;
return(f);
}
public cFace MakeNullFace()
{
cFace f = new cFace();
InsertBeforeHead(f);
return(f);
}
/*---------------------------------------------------------------------*/
protected float Volumei(cFace f, cVertex p)
{
float vol;
float ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz;
float bxdx, bydy, bzdz, cxdx, cydy, czdz;
//float vold;
//int i;
ax = f.Vertices[0].Point.X;
ay = f.Vertices[0].Point.Y;
az = f.Vertices[0].Point.Z;
bx = f.Vertices[1].Point.X;
by = f.Vertices[1].Point.Y;
bz = f.Vertices[1].Point.Z;
cx = f.Vertices[2].Point.X;
cy = f.Vertices[2].Point.Y;
cz = f.Vertices[2].Point.Z;
dx = p.Point.X;
dy = p.Point.Y;
dz = p.Point.Z;
bxdx = bx - dx;
bydy = by - dy;
bzdz = bz - dz;
cxdx = cx - dx;
cydy = cy - dy;
czdz = cz - dz;
vol = (az - dz) * (bxdx * cydy - bydy * cxdx)
+ (ay - dy) * (bzdz * cxdx - bxdx * czdz)
+ (ax - dx) * (bydy * czdz - bzdz * cydy);
return(vol);
}
public void ClearFaceList()
{
if (head != null)
{
head = null;
}
n = 0;
}
public cFace()
{
Edges = new cEdge[3];
Edges[0] = Edges[1] = Edges[2] = null;
Vertices = new cVertex[3];
Vertices[0] = Vertices[1] = Vertices[2] = null;
visible = lower = false;
next = prev = null;
}
/*---------------------------------------------------------------------
* doubleTriangle builds the initial double triangle. It first finds 3
* noncollinear points and makes two faces out of them, in opposite order.
* It then finds a fourth point that is not coplanar with that face. The
* pointCloud are stored in the face structure in counterclockwise order so
* that the volume between the face and the point is negative. Lastly, the
* 3 newfaces to the fourth point are constructed and the data structures
* are cleaned up.
* ---------------------------------------------------------------------*/
private bool doubleTriangle()
{
cVertex v0, v1, v2, v3;//;, t;
cFace f0, f1 = null;
double vol;
/* Find 3 non-Collinear points. */
v0 = Vertices.head;
while (Collinear(v0, v0.NextVertex, v0.NextVertex.NextVertex))
{
if ((v0 = v0.NextVertex) == Vertices.head)
{
System.Diagnostics.Debug.WriteLine("doubleTriangle: All points are Collinear!");
return(false);
}
}
v1 = v0.NextVertex;
v2 = v1.NextVertex;
/* Mark the pointCloud as processed. */
v0.IsProcessed = PROCESSED;
v1.IsProcessed = PROCESSED;
v2.IsProcessed = PROCESSED;
/* Create the two "twin" faces. */
f0 = MakeFace(v0, v1, v2, f1);
f1 = MakeFace(v2, v1, v0, f0);
/* Link adjacent face fields. */
f0.Edges[0].Adjface[1] = f1;
f0.Edges[1].Adjface[1] = f1;
f0.Edges[2].Adjface[1] = f1;
f1.Edges[0].Adjface[1] = f0;
f1.Edges[1].Adjface[1] = f0;
f1.Edges[2].Adjface[1] = f0;
/* Find a fourth, non-coplanar point to form tetrahedron. */
v3 = v2.NextVertex;
vol = VolumeSign(f0, v3);
while (vol == 0)
{
if ((v3 = v3.NextVertex) == v0)
{
System.Diagnostics.Debug.WriteLine("doubleTriangle: All points are coplanar!");
return(false);
}
vol = VolumeSign(f0, v3);
}
/* Insure that v3 will be the first added. */
Vertices.head = v3;
return(true);
}
public cEdge next, prev; /* pointers to neighbours in cEdgeList */
public cEdge()
{
Adjface = new cFace[2];
Adjface[0] = Adjface[1] = null;
Endpts = new cVertex[2];
Endpts[0] = Endpts[1] = null;
newface = null;
delete = false;
next = prev = null;
}
/*Inserts newF before oldF
*/
public void InsertBeforeHead(cFace e)
{
if (head == null)
{
InitHead(e);
}
else
{
InsertBefore(e, head);
}
}
public void PrintFaces()
{
cFace temp = head;
int i = 1;
if (head != null)
{
do
{
temp.PrintFace(i);
temp = temp.next;
i++;
} while (temp != head);
}
}
public void Delete(cFace e)
{
if (head == head.next)
{
head = null;
}
else if (e == head)
{
head = head.next;
}
e.prev.next = e.next;
e.next.prev = e.prev;
n--;
}
public void InsertBefore(cFace newF, cFace oldF)
{
if (head == null)
{
InitHead(newF);
}
else
{
oldF.prev.next = newF;
newF.prev = oldF.prev;
newF.next = oldF;
oldF.prev = newF;
n++;
}
}
public bool Voronoi(List <Vector3> myListVectors)
{
if (Delaunay(myListVectors))
{
for (int i = 0; i < this.Faces.ListFaces.Count; i++)
{
cFace face = this.Faces.ListFaces[i];
for (int j = 0; j < face.Edges.Length; j++)
{
cEdge edge = face.Edges[j];
for (int k = 0; k < edge.Adjface.Length; k++)
{
cFace adjFace = edge.Adjface[k];
cEdge newEdge = new cEdge();
//Kante m durch Verbindung der Umkreismittelpunkte von k und k+1
}
}
}
return(true);
}
return(false);
//var t = DelaunayTriangulation<TCell>.Create(data);
//var myCells = t.Cells;
//var edges = new HashSet<TEdge>(new EdgeComparer());
//foreach (var c in myCells)
//{
// for (int i = 0; i < c.Adjacency.Length; i++)
// {
// var af = c.Adjacency[i];
// if (af != null)
// edges.Add(new TEdge { Source = c, Target = af });
// }
//}
//return new VoronoiMesh<TCell, TEdge>
//{
// Cells = myCells,
// Edges = edges.ToList()
//};
}
/*---------------------------------------------------------------------
* MakeCcw puts the pointCloud in the face structure in counterclock wise
* order. We want to store the pointCloud in the same
* order as in the visible face. The third vertex is always p.
* ---------------------------------------------------------------------*/
private void MakeCcw(cFace f, cEdge e, cVertex p)
{
cFace fv; /* The visible face adjacent to e */
int i; /* Index of e.endpoint[0] in fv. */
cEdge s = new cEdge(); /* Temporary, for swapping */
if (e.Adjface[0].visible)
{
fv = e.Adjface[0];
}
else
{
fv = e.Adjface[1];
}
/* Set vertex[0] & [1] of f to have the same orientation
* as do the corresponding pointCloud of fv. */
for (i = 0; fv.Vertices[i] != e.Endpts[0]; ++i)
{
;
}
/* Orient f the same as fv. */
if (fv.Vertices[(i + 1) % 3] != e.Endpts[1])
{
f.Vertices[0] = e.Endpts[1];
f.Vertices[1] = e.Endpts[0];
}
else
{
f.Vertices[0] = e.Endpts[0];
f.Vertices[1] = e.Endpts[1];
Swap(s, f.Edges[1], f.Edges[2]);
}
/* This swap is tricky. e is edge[0]. edge[1] is based on endpt[0],
* edge[2] on endpt[1]. So if e is oriented "forwards," we
* need to move edge[1] to follow [0], because it precedes. */
f.Vertices[2] = p;
}
/*---------------------------------------------------------------------
* VolumeSign returns the sign of the volume of the tetrahedron determined
* by f and p. VolumeSign is +1 iff p is on the negative side of f,
* where the positive side is determined by the rh-rule. So the volume
* is positive if the ccw normal to f points outside the tetrahedron.
* The fewer-multiplications form is due to Robert Fraczkiewicz.
* ---------------------------------------------------------------------*/
private double VolumeSign(cFace f, cVertex p)
{
double vol;
//double voli = 0;
double ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz;
double bxdx, bydy, bzdz, cxdx, cydy, czdz;
ax = f.Vertices[0].Point.X;
ay = f.Vertices[0].Point.Y;
az = f.Vertices[0].Point.Z;
bx = f.Vertices[1].Point.X;
by = f.Vertices[1].Point.Y;
bz = f.Vertices[1].Point.Z;
cx = f.Vertices[2].Point.X;
cy = f.Vertices[2].Point.Y;
cz = f.Vertices[2].Point.Z;
dx = p.Point.X;
dy = p.Point.Y;
dz = p.Point.Z;
bxdx = bx - dx;
bydy = by - dy;
bzdz = bz - dz;
cxdx = cx - dx;
cydy = cy - dy;
czdz = cz - dz;
vol = (az - dz) * (bxdx * cydy - bydy * cxdx)
+ (ay - dy) * (bzdz * cxdx - bxdx * czdz)
+ (ax - dx) * (bydy * czdz - bzdz * cydy);
return(vol);
///* The volume should be an integer. */
//if (vol > 0) return 1;
//else if (vol < 0) return -1;
//else return 0;
}
public cFaceList()
{
head = null;
n = 0;
}
