/// <summary>
/// Returns the intersection of both lines.
/// </summary>
/// <param name="Line1">A line.</param>
/// <param name="Line2">A line.</param>
/// <param name="InfiniteLines">Whether the lines should be treated as infinite or not.</param>
public GeoCoordinate Intersection(GeoLine Line2, Boolean InfiniteLines = false, Boolean ExcludeEdges = false)
{
GeoCoordinate Intersection;
IntersectsWith(Line2, out Intersection, InfiniteLines, ExcludeEdges);
return(Intersection);
}
/// <summary>
/// Checks if the given first pixel is within the circle
/// defined by the remaining three edge pixels.
/// </summary>
/// <param name="Pixel">The pixel to be checked.</param>
/// <param name="EdgePixel1">The first edge pixel defining a circle.</param>
/// <param name="EdgePixel2">The second edge pixel defining a circle.</param>
/// <param name="EdgePixel3">The third edge pixel defining a circle.</param>
public static Boolean IsInCircle(GeoCoordinate Pixel, GeoCoordinate EdgePixel1, GeoCoordinate EdgePixel2, GeoCoordinate EdgePixel3)
{
#region Initial Checks
if (Pixel == null)
{
throw new ArgumentNullException("The given first pixel must not be null!");
}
if (EdgePixel1 == null)
{
throw new ArgumentNullException("The given first edgepixel must not be null!");
}
if (EdgePixel2 == null)
{
throw new ArgumentNullException("The given second edgepixel must not be null!");
}
if (EdgePixel3 == null)
{
throw new ArgumentNullException("The given third edgepixel must not be null!");
}
#endregion
#region Math Checks
if (EdgePixel1.Equals(EdgePixel2) ||
EdgePixel1.Equals(EdgePixel3) ||
EdgePixel2.Equals(EdgePixel3))
{
throw new ArgumentException("All distances between the pixels must be larger than zero!");
}
if (EdgePixel1.Longitude.Value.Equals(EdgePixel2.Longitude.Value) &&
EdgePixel2.Longitude.Value.Equals(EdgePixel3.Longitude.Value))
{
throw new ArgumentException("All three pixels must not be on a single line!");
}
if (EdgePixel1.Latitude.Value.Equals(EdgePixel2.Latitude.Value) &&
EdgePixel2.Latitude.Value.Equals(EdgePixel3.Latitude.Value))
{
throw new ArgumentException("All three pixels must not be on a single line!");
}
#endregion
var _Line12 = new GeoLine(EdgePixel1, EdgePixel2);
var _Line23 = new GeoLine(EdgePixel2, EdgePixel3);
var Center = new GeoLine(_Line12.Center, _Line12.Normale).
Intersection(
new GeoLine(_Line23.Center, _Line23.Normale));
return(Center.DistanceTo(Pixel) <= Center.DistanceTo(EdgePixel1));
}
/// <summary>
/// Creates a circumcircle of type T based on three pixels.
/// </summary>
/// <param name="Pixel1">The first pixel of the triangle.</param>
/// <param name="Pixel2">The second pixel of the triangle.</param>
/// <param name="Pixel3">The third pixel of the triangle.</param>
public GeoCircle(GeoCoordinate Pixel1, GeoCoordinate Pixel2, GeoCoordinate Pixel3)
{
#region Initial Checks
if (Pixel1 == null)
{
throw new ArgumentNullException("The given first pixel must not be null!");
}
if (Pixel2 == null)
{
throw new ArgumentNullException("The given second pixel must not be null!");
}
if (Pixel3 == null)
{
throw new ArgumentNullException("The given third pixel must not be null!");
}
#endregion
#region Math Checks
if (Pixel1.Equals(Pixel2) ||
Pixel1.Equals(Pixel3) ||
Pixel2.Equals(Pixel3))
{
throw new ArgumentException("All distances between the pixels must be larger than zero!");
}
//if (Pixel1.Longitude.Value.Equals(Pixel2.Longitude.Value) &&
// Pixel2.Longitude.Value.Equals(Pixel3.Longitude.Value))
// throw new ArgumentException("All three pixels must not be on a single line!");
//if (Pixel1.Latitude.Value.Equals(Pixel2.Latitude.Value) &&
// Pixel2.Latitude.Value.Equals(Pixel3.Latitude.Value))
// throw new ArgumentException("All three pixels must not be on a single line!");
#endregion
var _Line12 = new GeoLine(Pixel1, Pixel2);
var _Line23 = new GeoLine(Pixel2, Pixel3);
this.Center = new GeoLine(_Line12.Center, _Line12.Normale).
Intersection(
new GeoLine(_Line23.Center, _Line23.Normale));
this.Radius = (Center != null) ? Center.DistanceTo(Pixel1) : 0;
}
/// <summary>
/// Compares two lines for equality.
/// </summary>
/// <param name="ILine">A line to compare with.</param>
/// <returns>True if both match; False otherwise.</returns>
public Boolean Equals(GeoLine ILine)
{
if ((Object)ILine == null)
{
return(false);
}
// Normal direction
return((this.P1.Longitude.Value.Equals(ILine.P1.Longitude.Value) &&
this.P1.Latitude.Value.Equals(ILine.P1.Latitude.Value) &&
this.P2.Longitude.Value.Equals(ILine.P2.Longitude.Value) &&
this.P2.Latitude.Value.Equals(ILine.P2.Latitude.Value))
||
// Opposite direction
(this.P1.Longitude.Value.Equals(ILine.P2.Longitude.Value) &&
this.P1.Latitude.Value.Equals(ILine.P2.Latitude.Value) &&
this.P2.Longitude.Value.Equals(ILine.P1.Longitude) &&
this.P2.Latitude.Value.Equals(ILine.P1.Latitude)));
}
/// <summary>
/// Checks if the given lines intersect.
/// </summary>
/// <param name="Line1">A line.</param>
/// <param name="Line2">A line.</param>
/// <param name="InfiniteLines">Whether the lines should be treated as infinite or not.</param>
/// <returns>True if the lines intersect; False otherwise.</returns>
public Boolean IntersectsWith(GeoLine Line2, Boolean InfiniteLines = false, Boolean ExcludeEdges = false)
{
GeoCoordinate Intersection;
return IntersectsWith(Line2, out Intersection, InfiniteLines, ExcludeEdges);
}
/// <summary>
/// Checks if and where the given lines intersect.
/// </summary>
/// <param name="Line">A line.</param>
/// <param name="IntersectionGeoCoordinate">The intersection of both lines.</param>
/// <param name="InfiniteLines">Whether the lines should be treated as infinite or not.</param>
/// <returns>True if the lines intersect; False otherwise.</returns>
public Boolean IntersectsWith(GeoLine Line, out GeoCoordinate IntersectionGeoCoordinate, Boolean InfiniteLines = false, Boolean ExcludeEdges = false)
{
#region Initial Checks
if (Line == null)
{
IntersectionGeoCoordinate = default(GeoCoordinate);
return false;
}
#endregion
// Assume both lines are infinite in order to get their intersection...
#region This line is just a pixel
if (this.IsJustAPixel())
{
if (Line.Contains(P1))
{
IntersectionGeoCoordinate = P1;
return true;
}
IntersectionGeoCoordinate = default(GeoCoordinate);
return false;
}
#endregion
#region The given line is just a pixel
else if (Line.IsJustAPixel())
{
if (this.Contains(Line.P1))
{
IntersectionGeoCoordinate = Line.P1;
return true;
}
IntersectionGeoCoordinate = default(GeoCoordinate);
return false;
}
#endregion
#region Both lines are parallel
else if (this.Gradient == Line.Gradient)
{
IntersectionGeoCoordinate = default(GeoCoordinate);
return false;
}
#endregion
#region Both lines are antiparallel
else if (this.Gradient == -1*Line.Gradient)
{
IntersectionGeoCoordinate = default(GeoCoordinate);
return false;
}
#endregion
#region This line is parallel to the y-axis
else if (Double.IsInfinity(this.Gradient))
{
IntersectionGeoCoordinate = new GeoCoordinate(new Latitude (Line.Gradient * this.P1.Longitude.Value + Line.YIntercept),
this.P1.Longitude);
}
#endregion
#region The given line is parallel to the y-axis
else if (Double.IsInfinity(Line.Gradient))
{
IntersectionGeoCoordinate = new GeoCoordinate(new Latitude(this.Gradient * Line.P1.Longitude.Value + this.YIntercept),
Line.P1.Longitude);
}
#endregion
#region There is a real intersection
else
{
//IntersectionGeoCoordinate = null;
//// this Line
//var A1 = this.P2.Latitude. Value - this.P1.Latitude. Value;
//var B1 = this.P2.Longitude.Value - this.P1.Longitude.Value;
//var C1 = A1 * this.P1.Longitude.Value + B1 * this.P1.Latitude.Value;
//// Line2
//var A2 = Line.P2.Latitude. Value - Line.P1.Latitude. Value;
//var B2 = Line.P2.Longitude.Value - Line.P1.Longitude.Value;
//var C2 = A2 * Line.P1.Longitude.Value + B2 * Line.P1.Latitude.Value;
//var det = A1 * B2 - A2 * B1;
//if (det == 0)
//{
// //parallel lines
//}
//else
//{
// var x = (B2 * C1 - B1 * C2) / det;
// var y = (A1 * C2 - A2 * C1) / det;
// IntersectionGeoCoordinate = new GeoCoordinate(new Latitude (y),
// new Longitude(x));
//}
IntersectionGeoCoordinate = new GeoCoordinate(new Latitude ((this.YIntercept * Line.Gradient - Line.YIntercept * this.Gradient) / (Line.Gradient - this.Gradient)),
new Longitude((Line.YIntercept - this.YIntercept) / (this.Gradient - Line.Gradient)));
}
#endregion
if (InfiniteLines)
return true;
else if (!ExcludeEdges)
return this.Contains(IntersectionGeoCoordinate);
else
{
if (this.Contains(IntersectionGeoCoordinate))
{
if (IntersectionGeoCoordinate.Equals(P1) ||
IntersectionGeoCoordinate.Equals(P2) ||
IntersectionGeoCoordinate.Equals(Line.P1) ||
IntersectionGeoCoordinate.Equals(Line.P2))
return false;
return true;
}
return false;
}
}
/// <summary>
/// Compares two lines for equality.
/// </summary>
/// <param name="ILine">A line to compare with.</param>
/// <returns>True if both match; False otherwise.</returns>
public Boolean Equals(GeoLine ILine)
{
if ((Object) ILine == null)
return false;
// Normal direction
return (this.P1.Longitude.Value.Equals(ILine.P1.Longitude.Value) &&
this.P1.Latitude .Value.Equals(ILine.P1.Latitude.Value) &&
this.P2.Longitude.Value.Equals(ILine.P2.Longitude.Value) &&
this.P2.Latitude .Value.Equals(ILine.P2.Latitude.Value))
||
// Opposite direction
(this.P1.Longitude.Value.Equals(ILine.P2.Longitude.Value) &&
this.P1.Latitude .Value.Equals(ILine.P2.Latitude.Value) &&
this.P2.Longitude.Value.Equals(ILine.P1.Longitude) &&
this.P2.Latitude .Value.Equals(ILine.P1.Latitude));
}
/// <summary>
/// Creates a circumcircle of type T based on three pixels.
/// </summary>
/// <param name="Pixel1">The first pixel of the triangle.</param>
/// <param name="Pixel2">The second pixel of the triangle.</param>
/// <param name="Pixel3">The third pixel of the triangle.</param>
public GeoCircle(GeoCoordinate Pixel1, GeoCoordinate Pixel2, GeoCoordinate Pixel3)
{
#region Initial Checks
if (Pixel1 == null)
throw new ArgumentNullException("The given first pixel must not be null!");
if (Pixel2 == null)
throw new ArgumentNullException("The given second pixel must not be null!");
if (Pixel3 == null)
throw new ArgumentNullException("The given third pixel must not be null!");
#endregion
#region Math Checks
if (Pixel1.Equals(Pixel2) ||
Pixel1.Equals(Pixel3) ||
Pixel2.Equals(Pixel3))
throw new ArgumentException("All distances between the pixels must be larger than zero!");
//if (Pixel1.Longitude.Value.Equals(Pixel2.Longitude.Value) &&
// Pixel2.Longitude.Value.Equals(Pixel3.Longitude.Value))
// throw new ArgumentException("All three pixels must not be on a single line!");
//if (Pixel1.Latitude.Value.Equals(Pixel2.Latitude.Value) &&
// Pixel2.Latitude.Value.Equals(Pixel3.Latitude.Value))
// throw new ArgumentException("All three pixels must not be on a single line!");
#endregion
var _Line12 = new GeoLine(Pixel1, Pixel2);
var _Line23 = new GeoLine(Pixel2, Pixel3);
this.Center = new GeoLine(_Line12.Center, _Line12.Normale).
Intersection(
new GeoLine(_Line23.Center, _Line23.Normale));
this.Radius = (Center != null) ? Center.DistanceTo(Pixel1) : 0;
}
/// <summary>
/// Checks if the given first pixel is within the circle
/// defined by the remaining three edge pixels.
/// </summary>
/// <param name="Pixel">The pixel to be checked.</param>
/// <param name="EdgePixel1">The first edge pixel defining a circle.</param>
/// <param name="EdgePixel2">The second edge pixel defining a circle.</param>
/// <param name="EdgePixel3">The third edge pixel defining a circle.</param>
public static Boolean IsInCircle(GeoCoordinate Pixel, GeoCoordinate EdgePixel1, GeoCoordinate EdgePixel2, GeoCoordinate EdgePixel3)
{
#region Initial Checks
if (Pixel == null)
throw new ArgumentNullException("The given first pixel must not be null!");
if (EdgePixel1 == null)
throw new ArgumentNullException("The given first edgepixel must not be null!");
if (EdgePixel2 == null)
throw new ArgumentNullException("The given second edgepixel must not be null!");
if (EdgePixel3 == null)
throw new ArgumentNullException("The given third edgepixel must not be null!");
#endregion
#region Math Checks
if (EdgePixel1.Equals(EdgePixel2) ||
EdgePixel1.Equals(EdgePixel3) ||
EdgePixel2.Equals(EdgePixel3))
throw new ArgumentException("All distances between the pixels must be larger than zero!");
if (EdgePixel1.Longitude.Value.Equals(EdgePixel2.Longitude.Value) &&
EdgePixel2.Longitude.Value.Equals(EdgePixel3.Longitude.Value))
throw new ArgumentException("All three pixels must not be on a single line!");
if (EdgePixel1.Latitude.Value.Equals(EdgePixel2.Latitude.Value) &&
EdgePixel2.Latitude.Value.Equals(EdgePixel3.Latitude.Value))
throw new ArgumentException("All three pixels must not be on a single line!");
#endregion
var _Line12 = new GeoLine(EdgePixel1, EdgePixel2);
var _Line23 = new GeoLine(EdgePixel2, EdgePixel3);
var Center = new GeoLine(_Line12.Center, _Line12.Normale).
Intersection(
new GeoLine(_Line23.Center, _Line23.Normale));
return Center.DistanceTo(Pixel) <= Center.DistanceTo(EdgePixel1);
}
/// <summary>
/// Calculate a delaunay triangulation for the given enumeration of pixels.
/// </summary>
/// <typeparam name="T">The type of the pixels.</typeparam>
/// <param name="VoronoiFeatures">An enumeration of pixels of type T.</param>
/// <returns>An enumeration of triangles of type T.</returns>
public static IEnumerable<TriCircle> DelaunayTriangulation(this IEnumerable<VoronoiFeature> VoronoiFeatures)
{
#region Initial Checks
var _VoronoiFeatures = VoronoiFeatures.ToList();
var _NumberOfFeatures = _VoronoiFeatures.Count;
//if (_NumberOfFeatures < 3)
// throw new ArgumentException("Need at least three pixels for triangulation!");
var TriCircles = new List<TriCircle>();
#endregion
#region Set up the first triangle
var j = 0;
VoronoiFeature[] tri1;
TriCircle triangle = null;
do
{
tri1 = _VoronoiFeatures.Skip(j++).Take(3).ToArray();
triangle = new TriCircle(new GeoTriangle(tri1[0].GeoCoordinate, tri1[1].GeoCoordinate, tri1[2].GeoCoordinate));
}
while (triangle.Circle.Radius == 0);
TriCircles.Add(triangle);
_VoronoiFeatures = _VoronoiFeatures.Where(vf => !tri1.Contains(vf)).ToList();
#endregion
#region Include each point one at a time into the existing mesh
for (int i = 0; i < _VoronoiFeatures.Count; i++)
{
var Found = false;
#region The new voronoi feature lies inside an existing triangle
var TriCircleList = TriCircles.Where(TriCircle => TriCircle.Deleted == false).
OrderBy(TriCircle => TriCircle.Circle.Radius).ToArray();
foreach (var TriCircle in TriCircleList)
{
if (TriCircle.Triangle.Contains(_VoronoiFeatures[i].GeoCoordinate))
{
var Edges = new List<GeoLine>();
Edges.Add(new GeoLine(TriCircle.Triangle.P1, TriCircle.Triangle.P2));
Edges.Add(new GeoLine(TriCircle.Triangle.P2, TriCircle.Triangle.P3));
Edges.Add(new GeoLine(TriCircle.Triangle.P3, TriCircle.Triangle.P1));
// Add three new triangles for the current point
foreach (var _Edge in Edges)
TriCircles.Add(new TriCircle(new GeoTriangle(_Edge.P1, _Edge.P2, _VoronoiFeatures[i].GeoCoordinate)));
TriCircle.Deleted = true;
Found = true;
break;
}
}
#endregion
#region An external feature
if (!Found)
{
var PointList1 = (TriCircles.Select(TriCircle => new
{
point = TriCircle.Triangle.P1,
distance = TriCircle.Triangle.P1.DistanceTo(_VoronoiFeatures[i].GeoCoordinate)
}).
Union(
TriCircles.Select(TriCircle => new
{
point = TriCircle.Triangle.P2,
distance = TriCircle.Triangle.P2.DistanceTo(_VoronoiFeatures[i].GeoCoordinate)
})).
Union(
TriCircles.Select(TriCircle => new
{
point = TriCircle.Triangle.P3,
distance = TriCircle.Triangle.P3.DistanceTo(_VoronoiFeatures[i].GeoCoordinate)
}))).
OrderBy(agg => agg.distance).ToArray();
var PointList2 = PointList1.
Where(v =>
{
var newLine = new GeoLine(_VoronoiFeatures[i].GeoCoordinate, v.point);
foreach (var edges in TriCircles.Select(v2 => v2.Triangle.Borders))
{
foreach (var edge in edges)
{
if (edge.IntersectsWith(newLine, false, true))
{
return false;
}
}
}
return true;
}).
ToArray();
TriCircles.Add(new TriCircle(new GeoTriangle(PointList2[0].point, PointList2[1].point, _VoronoiFeatures[i].GeoCoordinate)));
}
#endregion
}
#endregion
return TriCircles.Where(tc => tc.Deleted == false);//.Select(tc => tc.Triangle);
}
/// <summary>
/// Checks if and where the given lines intersect.
/// </summary>
/// <param name="Line">A line.</param>
/// <param name="IntersectionGeoCoordinate">The intersection of both lines.</param>
/// <param name="InfiniteLines">Whether the lines should be treated as infinite or not.</param>
/// <returns>True if the lines intersect; False otherwise.</returns>
public Boolean IntersectsWith(GeoLine Line, out GeoCoordinate IntersectionGeoCoordinate, Boolean InfiniteLines = false, Boolean ExcludeEdges = false)
{
#region Initial Checks
if (Line == null)
{
IntersectionGeoCoordinate = default(GeoCoordinate);
return(false);
}
#endregion
// Assume both lines are infinite in order to get their intersection...
#region This line is just a pixel
if (this.IsJustAPixel())
{
if (Line.Contains(P1))
{
IntersectionGeoCoordinate = P1;
return(true);
}
IntersectionGeoCoordinate = default(GeoCoordinate);
return(false);
}
#endregion
#region The given line is just a pixel
else if (Line.IsJustAPixel())
{
if (this.Contains(Line.P1))
{
IntersectionGeoCoordinate = Line.P1;
return(true);
}
IntersectionGeoCoordinate = default(GeoCoordinate);
return(false);
}
#endregion
#region Both lines are parallel
else if (this.Gradient == Line.Gradient)
{
IntersectionGeoCoordinate = default(GeoCoordinate);
return(false);
}
#endregion
#region Both lines are antiparallel
else if (this.Gradient == -1 * Line.Gradient)
{
IntersectionGeoCoordinate = default(GeoCoordinate);
return(false);
}
#endregion
#region This line is parallel to the y-axis
else if (Double.IsInfinity(Gradient))
{
IntersectionGeoCoordinate = new GeoCoordinate(
Latitude.Parse(Line.Gradient * P1.Longitude.Value + Line.YIntercept),
P1.Longitude
);
}
#endregion
#region The given line is parallel to the y-axis
else if (Double.IsInfinity(Line.Gradient))
{
IntersectionGeoCoordinate = new GeoCoordinate(
Latitude.Parse(Gradient * Line.P1.Longitude.Value + YIntercept),
Line.P1.Longitude
);
}
#endregion
#region There is a real intersection
else
{
//IntersectionGeoCoordinate = null;
//// this Line
//var A1 = this.P2.Latitude. Value - this.P1.Latitude. Value;
//var B1 = this.P2.Longitude.Value - this.P1.Longitude.Value;
//var C1 = A1 * this.P1.Longitude.Value + B1 * this.P1.Latitude.Value;
//// Line2
//var A2 = Line.P2.Latitude. Value - Line.P1.Latitude. Value;
//var B2 = Line.P2.Longitude.Value - Line.P1.Longitude.Value;
//var C2 = A2 * Line.P1.Longitude.Value + B2 * Line.P1.Latitude.Value;
//var det = A1 * B2 - A2 * B1;
//if (det == 0)
//{
// //parallel lines
//}
//else
//{
// var x = (B2 * C1 - B1 * C2) / det;
// var y = (A1 * C2 - A2 * C1) / det;
// IntersectionGeoCoordinate = new GeoCoordinate(new Latitude (y),
// new Longitude(x));
//}
IntersectionGeoCoordinate = new GeoCoordinate(
Latitude.Parse((this.YIntercept * Line.Gradient - Line.YIntercept * this.Gradient) / (Line.Gradient - this.Gradient)),
Longitude.Parse((Line.YIntercept - this.YIntercept) / (this.Gradient - Line.Gradient))
);
}
#endregion
if (InfiniteLines)
{
return(true);
}
else if (!ExcludeEdges)
{
return(this.Contains(IntersectionGeoCoordinate));
}
else
{
if (this.Contains(IntersectionGeoCoordinate))
{
if (IntersectionGeoCoordinate.Equals(P1) ||
IntersectionGeoCoordinate.Equals(P2) ||
IntersectionGeoCoordinate.Equals(Line.P1) ||
IntersectionGeoCoordinate.Equals(Line.P2))
{
return(false);
}
return(true);
}
return(false);
}
}
/// <summary>
/// Calculate a delaunay triangulation for the given enumeration of pixels.
/// </summary>
/// <typeparam name="T">The type of the pixels.</typeparam>
/// <param name="VoronoiFeatures">An enumeration of pixels of type T.</param>
/// <returns>An enumeration of triangles of type T.</returns>
public static IEnumerable <TriCircle> DelaunayTriangulation(this IEnumerable <VoronoiFeature> VoronoiFeatures)
{
#region Initial Checks
var _VoronoiFeatures = VoronoiFeatures.ToList();
var _NumberOfFeatures = _VoronoiFeatures.Count;
//if (_NumberOfFeatures < 3)
// throw new ArgumentException("Need at least three pixels for triangulation!");
var TriCircles = new List <TriCircle>();
#endregion
#region Set up the first triangle
var j = 0;
VoronoiFeature[] tri1;
TriCircle triangle = null;
do
{
tri1 = _VoronoiFeatures.Skip(j++).Take(3).ToArray();
triangle = new TriCircle(new GeoTriangle(tri1[0].GeoCoordinate, tri1[1].GeoCoordinate, tri1[2].GeoCoordinate));
}while (triangle.Circle.Radius == 0);
TriCircles.Add(triangle);
_VoronoiFeatures = _VoronoiFeatures.Where(vf => !tri1.Contains(vf)).ToList();
#endregion
#region Include each point one at a time into the existing mesh
for (int i = 0; i < _VoronoiFeatures.Count; i++)
{
var Found = false;
#region The new voronoi feature lies inside an existing triangle
var TriCircleList = TriCircles.Where(TriCircle => TriCircle.Deleted == false).
OrderBy(TriCircle => TriCircle.Circle.Radius).ToArray();
foreach (var TriCircle in TriCircleList)
{
if (TriCircle.Triangle.Contains(_VoronoiFeatures[i].GeoCoordinate))
{
var Edges = new List <GeoLine>();
Edges.Add(new GeoLine(TriCircle.Triangle.P1, TriCircle.Triangle.P2));
Edges.Add(new GeoLine(TriCircle.Triangle.P2, TriCircle.Triangle.P3));
Edges.Add(new GeoLine(TriCircle.Triangle.P3, TriCircle.Triangle.P1));
// Add three new triangles for the current point
foreach (var _Edge in Edges)
{
TriCircles.Add(new TriCircle(new GeoTriangle(_Edge.P1, _Edge.P2, _VoronoiFeatures[i].GeoCoordinate)));
}
TriCircle.Deleted = true;
Found = true;
break;
}
}
#endregion
#region An external feature
if (!Found)
{
var PointList1 = (TriCircles.Select(TriCircle => new
{
point = TriCircle.Triangle.P1,
distance = TriCircle.Triangle.P1.DistanceTo(_VoronoiFeatures[i].GeoCoordinate)
}).
Union(
TriCircles.Select(TriCircle => new
{
point = TriCircle.Triangle.P2,
distance = TriCircle.Triangle.P2.DistanceTo(_VoronoiFeatures[i].GeoCoordinate)
})).
Union(
TriCircles.Select(TriCircle => new
{
point = TriCircle.Triangle.P3,
distance = TriCircle.Triangle.P3.DistanceTo(_VoronoiFeatures[i].GeoCoordinate)
}))).
OrderBy(agg => agg.distance).ToArray();
var PointList2 = PointList1.
Where(v =>
{
var newLine = new GeoLine(_VoronoiFeatures[i].GeoCoordinate, v.point);
foreach (var edges in TriCircles.Select(v2 => v2.Triangle.Borders))
{
foreach (var edge in edges)
{
if (edge.IntersectsWith(newLine, false, true))
{
return(false);
}
}
}
return(true);
}).
ToArray();
TriCircles.Add(new TriCircle(new GeoTriangle(PointList2[0].point, PointList2[1].point, _VoronoiFeatures[i].GeoCoordinate)));
}
#endregion
}
#endregion
return(TriCircles.Where(tc => tc.Deleted == false));//.Select(tc => tc.Triangle);
}
private void DrawLine(GeoLine Line, Brush Stroke, Double StrokeThickness)
{
DrawLine(Line.P1, Line.P2, Stroke, StrokeThickness);
}
private void Calc()
{
if (VoronoiFeatures.Count > 2)
{
#region Draw Delaunay
if (DelaunayTriangleList == null)
{
DelaunayTriangleList = VoronoiFeatures.DelaunayTriangulation().ToList();
}
if (DelaunayTriangleList != null)
{
foreach (var DelaunayTriangle in DelaunayTriangleList)
{
var P1OnScreen = GeoCalculations.GeoCoordinate2ScreenXY(DelaunayTriangle.Triangle.P1, this.MapControl.ZoomLevel);
var P2OnScreen = GeoCalculations.GeoCoordinate2ScreenXY(DelaunayTriangle.Triangle.P2, this.MapControl.ZoomLevel);
var P3OnScreen = GeoCalculations.GeoCoordinate2ScreenXY(DelaunayTriangle.Triangle.P3, this.MapControl.ZoomLevel);
////DrawLine(P1OnScreen, P2OnScreen, Brushes.Blue, 1.0);
////DrawLine(P2OnScreen, P3OnScreen, Brushes.Blue, 1.0);
////DrawLine(P3OnScreen, P1OnScreen, Brushes.Blue, 1.0);
//var GeoCircle = new GeoCircle(_Triangle.P1, _Triangle.P2, _Triangle.P3);
var ScreenCircle = new Circle <Double>(new Pixel <Double>(P1OnScreen.X + this.MapControl.ScreenOffset.X, P1OnScreen.Y + this.MapControl.ScreenOffset.Y),
new Pixel <Double>(P2OnScreen.X + this.MapControl.ScreenOffset.X, P2OnScreen.Y + this.MapControl.ScreenOffset.Y),
new Pixel <Double>(P3OnScreen.X + this.MapControl.ScreenOffset.X, P3OnScreen.Y + this.MapControl.ScreenOffset.Y));
//var r1 = ScreenCircle.Center.DistanceTo(P1OnScreen.X + this.MapControl.ScreenOffset.X, P1OnScreen.Y + this.MapControl.ScreenOffset.Y);
//var r2 = ScreenCircle.Center.DistanceTo(P2OnScreen.X + this.MapControl.ScreenOffset.X, P2OnScreen.Y + this.MapControl.ScreenOffset.Y);
//var r3 = ScreenCircle.Center.DistanceTo(P3OnScreen.X + this.MapControl.ScreenOffset.X, P3OnScreen.Y + this.MapControl.ScreenOffset.Y);
//var CenterOnScreen = GeoCalculations.GeoCoordinate2ScreenXY(GeoCircle.Center, this.MapControl.ZoomLevel);
#region DrawCircumCircles
if (DrawCircumCircles)
{
var CircumCircle = new Ellipse()
{
Width = ScreenCircle.Diameter,
Height = ScreenCircle.Diameter,
Stroke = Brushes.DarkGreen,
StrokeThickness = 1.0
};
this.Children.Add(CircumCircle);
//Canvas.SetLeft(CircumCircle, CenterOnScreen.X + this.MapControl.ScreenOffset.X);
//Canvas.SetTop (CircumCircle, CenterOnScreen.Y + this.MapControl.ScreenOffset.Y);
Canvas.SetLeft(CircumCircle, ScreenCircle.X - ScreenCircle.Radius); // + this.MapControl.ScreenOffset.X);
Canvas.SetTop(CircumCircle, ScreenCircle.Y - ScreenCircle.Radius); // + this.MapControl.ScreenOffset.Y);
}
#endregion
}
}
foreach (var tr1 in DelaunayTriangleList)
{
tr1.Neighbors.Clear();
}
HashSet <GeoCoordinate> tr1_h, tr2_h;
IEnumerable <GeoCoordinate> Intersection;
foreach (var tr1 in DelaunayTriangleList)
{
foreach (var tr2 in DelaunayTriangleList)
{
tr1_h = new HashSet <GeoCoordinate>();
tr1_h.Add(tr1.Triangle.P1);
tr1_h.Add(tr1.Triangle.P2);
tr1_h.Add(tr1.Triangle.P3);
tr2_h = new HashSet <GeoCoordinate>();
tr2_h.Add(tr2.Triangle.P1);
tr2_h.Add(tr2.Triangle.P2);
tr2_h.Add(tr2.Triangle.P3);
Intersection = tr1_h.Intersect(tr2_h);
if (Intersection.Count() == 2)
{
tr1.Neighbors.Add(tr2);
tr2.Neighbors.Add(tr1);
foreach (var bo in tr1.Triangle.Borders)
{
if (Intersection.Contains(bo.P1) && Intersection.Contains(bo.P2))
{
bo.Tags.Add("shared");
}
}
foreach (var bo in tr2.Triangle.Borders)
{
if (Intersection.Contains(bo.P1) && Intersection.Contains(bo.P2))
{
bo.Tags.Add("shared");
}
}
}
}
}
var aaa = DelaunayTriangleList.SelectMany(v => v.Triangle.Borders).Select(v => v.Tags);
foreach (var DelaunayTriangle in DelaunayTriangleList)
{
foreach (var Edge in DelaunayTriangle.Triangle.Borders)
{
DrawLine(GeoCalculations.GeoCoordinate2ScreenXY(Edge.P1, this.MapControl.ZoomLevel),
GeoCalculations.GeoCoordinate2ScreenXY(Edge.P2, this.MapControl.ZoomLevel),
(Edge.Tags.Contains("shared"))
? Brushes.LightBlue
: Brushes.Blue,
1.0);
}
}
foreach (var tr1 in DelaunayTriangleList)//.Skip(2).Take(1))
{
var Borders = tr1.Triangle.Borders.ToList();
var Center = new GeoLine(Borders[0].Center, Borders[0].Normale).
Intersection(new GeoLine(Borders[1].Center, Borders[1].Normale));
var Vector1 = Borders[0].Vector;
var Vector2 = Borders[0].Vector;
var Vector3 = Borders[0].Vector;
var Normale1 = Borders[0].Normale;
var Normale2 = Borders[0].Normale;
var Normale3 = Borders[0].Normale;
//var Center1 = new GeoCoordinate(new Latitude(Borders[0].Center.Longitude.Value), new Longitude(Borders[0].Center.Latitude.Value));
//var Center2 = new GeoCoordinate(new Latitude(Borders[1].Center.Longitude.Value), new Longitude(Borders[1].Center.Latitude.Value));
//var Center3 = new GeoCoordinate(new Latitude(Borders[2].Center.Longitude.Value), new Longitude(Borders[2].Center.Latitude.Value));
DrawLine(Center, Borders[0].Center, Brushes.Green, 1.0);
DrawLine(Center, Borders[1].Center, Brushes.Green, 1.0);
DrawLine(Center, Borders[2].Center, Brushes.Green, 1.0);
}
#endregion
//var Center1 = new GeoCoordinate(new Latitude(49.7316155727453), new Longitude(10.1409612894059));
//var LineX_3_4 = new GeoLine(new GeoCoordinate(new Latitude(49.732745964269350), new Longitude(10.135724544525146)),
// new GeoCoordinate(new Latitude(49.731761237693235), new Longitude(10.135746002197264)));
//var Line_S3S4 = new GeoLine(new GeoCoordinate(new Latitude(49.732552), new Longitude(10.139216)),
// new GeoCoordinate(new Latitude(49.731004), new Longitude(10.138913)));
//var Line_S3S4Center2Center1 = new GeoLine(Line_S3S4.Center,
// Center1);
//var Intersection1 = Line_S3S4Center2Center1.Intersection(LineX_3_4);
//DrawLine(Line_S3S4.Center, Intersection1, Brushes.Red, 1.0);
//// ------------------------------------------------------------------------
//var LineX_7_8 = new GeoLine(new GeoCoordinate(new Latitude(49.729930425324014), new Longitude(10.137097835540771)),
// new GeoCoordinate(new Latitude(49.729347879633465), new Longitude(10.138492584228516)));
//var Line_S4S5 = new GeoLine(new GeoCoordinate(new Latitude(49.731004), new Longitude(10.138913)),
// new GeoCoordinate(new Latitude(49.730237), new Longitude(10.140107)));
//var Line_S4S5Center2Center1 = new GeoLine(Line_S4S5.Center,
// Center1);
//var Intersection2 = Line_S4S5Center2Center1.Intersection(LineX_7_8);
//DrawLine(Line_S4S5.Center, Intersection2, Brushes.Red, 1.0);
//// ------------------------------------------------------------------------
//var Center2 = new GeoCoordinate(new Latitude(49.7302216912131), new Longitude(10.1434879302979));
//var LineX_14_15 = new GeoLine(new GeoCoordinate(new Latitude(49.728695974976030), new Longitude(10.143170356750488)),
// new GeoCoordinate(new Latitude(49.728987252607084), new Longitude(10.144414901733398)));
//var Line_S5S7 = new GeoLine(new GeoCoordinate(new Latitude(49.730237), new Longitude(10.140107)),
// new GeoCoordinate(new Latitude(49.730664), new Longitude(10.146802)));
//var Line_S5S7Center2Center2 = new GeoLine(Line_S5S7.Center,
// Center2);
//var Intersection3 = Line_S5S7Center2Center2.Intersection(LineX_14_15);
//DrawLine(Center2, Intersection3, Brushes.Red, 1.0);
//// ------------------------------------------------------------------------
//var LineX_17_18 = new GeoLine(new GeoCoordinate(new Latitude(49.732413101183180), new Longitude(10.149564743041992)),
// new GeoCoordinate(new Latitude(49.731469976708340), new Longitude(10.148684978485107)));
//var Line_S7S6 = new GeoLine(new GeoCoordinate(new Latitude(49.730664), new Longitude(10.146802)),
// new GeoCoordinate(new Latitude(49.731791), new Longitude(10.145903)));
//var Line_S7S6Center2Center2 = new GeoLine(Line_S7S6.Center,
// Center2);
//var Intersection4 = Line_S7S6Center2Center2.Intersection(LineX_17_18);
//DrawLine(Line_S7S6.Center, Intersection4, Brushes.Red, 1.0);
//// ------------------------------------------------------------------------
//var Center3 = new GeoCoordinate(new Latitude(49.7318726185525), new Longitude(10.1424804925919));
//var LineX_23_24 = new GeoLine(new GeoCoordinate(new Latitude(49.734146738072006), new Longitude(10.144844055175781)),
// new GeoCoordinate(new Latitude(49.733966442720840), new Longitude(10.142934322357178)));
//var Line_S6S3 = new GeoLine(new GeoCoordinate(new Latitude(49.731791), new Longitude(10.145903)),
// new GeoCoordinate(new Latitude(49.732552), new Longitude(10.139216)));
//var Line_S6S3Center2Center3 = new GeoLine(Line_S6S3.Center,
// Center3);
//var Intersection5 = Line_S6S3Center2Center3.Intersection(LineX_23_24);
//DrawLine(Line_S6S3.Center, Intersection5, Brushes.Red, 1.0);
}
}
private void DrawLine(GeoLine Line, Brush Stroke, Double StrokeThickness)
{
DrawLine(Line.P1, Line.P2, Stroke, StrokeThickness);
}
private void Calc()
{
if (VoronoiFeatures.Count > 2)
{
#region Draw Delaunay
if (DelaunayTriangleList == null)
DelaunayTriangleList = VoronoiFeatures.DelaunayTriangulation().ToList();
if (DelaunayTriangleList != null)
foreach (var DelaunayTriangle in DelaunayTriangleList) {
var P1OnScreen = GeoCalculations.GeoCoordinate2ScreenXY(DelaunayTriangle.Triangle.P1, this.MapControl.ZoomLevel);
var P2OnScreen = GeoCalculations.GeoCoordinate2ScreenXY(DelaunayTriangle.Triangle.P2, this.MapControl.ZoomLevel);
var P3OnScreen = GeoCalculations.GeoCoordinate2ScreenXY(DelaunayTriangle.Triangle.P3, this.MapControl.ZoomLevel);
////DrawLine(P1OnScreen, P2OnScreen, Brushes.Blue, 1.0);
////DrawLine(P2OnScreen, P3OnScreen, Brushes.Blue, 1.0);
////DrawLine(P3OnScreen, P1OnScreen, Brushes.Blue, 1.0);
//var GeoCircle = new GeoCircle(_Triangle.P1, _Triangle.P2, _Triangle.P3);
var ScreenCircle = new Circle<Double>(new Pixel<Double>(P1OnScreen.X + this.MapControl.ScreenOffset.X, P1OnScreen.Y + this.MapControl.ScreenOffset.Y),
new Pixel<Double>(P2OnScreen.X + this.MapControl.ScreenOffset.X, P2OnScreen.Y + this.MapControl.ScreenOffset.Y),
new Pixel<Double>(P3OnScreen.X + this.MapControl.ScreenOffset.X, P3OnScreen.Y + this.MapControl.ScreenOffset.Y));
//var r1 = ScreenCircle.Center.DistanceTo(P1OnScreen.X + this.MapControl.ScreenOffset.X, P1OnScreen.Y + this.MapControl.ScreenOffset.Y);
//var r2 = ScreenCircle.Center.DistanceTo(P2OnScreen.X + this.MapControl.ScreenOffset.X, P2OnScreen.Y + this.MapControl.ScreenOffset.Y);
//var r3 = ScreenCircle.Center.DistanceTo(P3OnScreen.X + this.MapControl.ScreenOffset.X, P3OnScreen.Y + this.MapControl.ScreenOffset.Y);
//var CenterOnScreen = GeoCalculations.GeoCoordinate2ScreenXY(GeoCircle.Center, this.MapControl.ZoomLevel);
#region DrawCircumCircles
if (DrawCircumCircles)
{
var CircumCircle = new Ellipse() {
Width = ScreenCircle.Diameter,
Height = ScreenCircle.Diameter,
Stroke = Brushes.DarkGreen,
StrokeThickness = 1.0
};
this.Children.Add(CircumCircle);
//Canvas.SetLeft(CircumCircle, CenterOnScreen.X + this.MapControl.ScreenOffset.X);
//Canvas.SetTop (CircumCircle, CenterOnScreen.Y + this.MapControl.ScreenOffset.Y);
Canvas.SetLeft(CircumCircle, ScreenCircle.X - ScreenCircle.Radius);// + this.MapControl.ScreenOffset.X);
Canvas.SetTop (CircumCircle, ScreenCircle.Y - ScreenCircle.Radius);// + this.MapControl.ScreenOffset.Y);
}
#endregion
}
foreach (var tr1 in DelaunayTriangleList)
tr1.Neighbors.Clear();
HashSet<GeoCoordinate> tr1_h, tr2_h;
IEnumerable<GeoCoordinate> Intersection;
foreach (var tr1 in DelaunayTriangleList)
{
foreach (var tr2 in DelaunayTriangleList)
{
tr1_h = new HashSet<GeoCoordinate>();
tr1_h.Add(tr1.Triangle.P1);
tr1_h.Add(tr1.Triangle.P2);
tr1_h.Add(tr1.Triangle.P3);
tr2_h = new HashSet<GeoCoordinate>();
tr2_h.Add(tr2.Triangle.P1);
tr2_h.Add(tr2.Triangle.P2);
tr2_h.Add(tr2.Triangle.P3);
Intersection = tr1_h.Intersect(tr2_h);
if (Intersection.Count() == 2)
{
tr1.Neighbors.Add(tr2);
tr2.Neighbors.Add(tr1);
foreach (var bo in tr1.Triangle.Borders)
if (Intersection.Contains(bo.P1) && Intersection.Contains(bo.P2))
bo.Tags.Add("shared");
foreach (var bo in tr2.Triangle.Borders)
if (Intersection.Contains(bo.P1) && Intersection.Contains(bo.P2))
bo.Tags.Add("shared");
}
}
}
var aaa = DelaunayTriangleList.SelectMany(v => v.Triangle.Borders).Select(v => v.Tags);
foreach (var DelaunayTriangle in DelaunayTriangleList)
foreach (var Edge in DelaunayTriangle.Triangle.Borders)
{
DrawLine(GeoCalculations.GeoCoordinate2ScreenXY(Edge.P1, this.MapControl.ZoomLevel),
GeoCalculations.GeoCoordinate2ScreenXY(Edge.P2, this.MapControl.ZoomLevel),
(Edge.Tags.Contains("shared"))
? Brushes.LightBlue
: Brushes.Blue,
1.0);
}
foreach (var tr1 in DelaunayTriangleList)//.Skip(2).Take(1))
{
var Borders = tr1.Triangle.Borders.ToList();
var Center = new GeoLine(Borders[0].Center, Borders[0].Normale).
Intersection(new GeoLine(Borders[1].Center, Borders[1].Normale));
var Vector1 = Borders[0].Vector;
var Vector2 = Borders[0].Vector;
var Vector3 = Borders[0].Vector;
var Normale1 = Borders[0].Normale;
var Normale2 = Borders[0].Normale;
var Normale3 = Borders[0].Normale;
//var Center1 = new GeoCoordinate(new Latitude(Borders[0].Center.Longitude.Value), new Longitude(Borders[0].Center.Latitude.Value));
//var Center2 = new GeoCoordinate(new Latitude(Borders[1].Center.Longitude.Value), new Longitude(Borders[1].Center.Latitude.Value));
//var Center3 = new GeoCoordinate(new Latitude(Borders[2].Center.Longitude.Value), new Longitude(Borders[2].Center.Latitude.Value));
DrawLine(Center, Borders[0].Center, Brushes.Green, 1.0);
DrawLine(Center, Borders[1].Center, Brushes.Green, 1.0);
DrawLine(Center, Borders[2].Center, Brushes.Green, 1.0);
}
#endregion
//var Center1 = new GeoCoordinate(new Latitude(49.7316155727453), new Longitude(10.1409612894059));
//var LineX_3_4 = new GeoLine(new GeoCoordinate(new Latitude(49.732745964269350), new Longitude(10.135724544525146)),
// new GeoCoordinate(new Latitude(49.731761237693235), new Longitude(10.135746002197264)));
//var Line_S3S4 = new GeoLine(new GeoCoordinate(new Latitude(49.732552), new Longitude(10.139216)),
// new GeoCoordinate(new Latitude(49.731004), new Longitude(10.138913)));
//var Line_S3S4Center2Center1 = new GeoLine(Line_S3S4.Center,
// Center1);
//var Intersection1 = Line_S3S4Center2Center1.Intersection(LineX_3_4);
//DrawLine(Line_S3S4.Center, Intersection1, Brushes.Red, 1.0);
//// ------------------------------------------------------------------------
//var LineX_7_8 = new GeoLine(new GeoCoordinate(new Latitude(49.729930425324014), new Longitude(10.137097835540771)),
// new GeoCoordinate(new Latitude(49.729347879633465), new Longitude(10.138492584228516)));
//var Line_S4S5 = new GeoLine(new GeoCoordinate(new Latitude(49.731004), new Longitude(10.138913)),
// new GeoCoordinate(new Latitude(49.730237), new Longitude(10.140107)));
//var Line_S4S5Center2Center1 = new GeoLine(Line_S4S5.Center,
// Center1);
//var Intersection2 = Line_S4S5Center2Center1.Intersection(LineX_7_8);
//DrawLine(Line_S4S5.Center, Intersection2, Brushes.Red, 1.0);
//// ------------------------------------------------------------------------
//var Center2 = new GeoCoordinate(new Latitude(49.7302216912131), new Longitude(10.1434879302979));
//var LineX_14_15 = new GeoLine(new GeoCoordinate(new Latitude(49.728695974976030), new Longitude(10.143170356750488)),
// new GeoCoordinate(new Latitude(49.728987252607084), new Longitude(10.144414901733398)));
//var Line_S5S7 = new GeoLine(new GeoCoordinate(new Latitude(49.730237), new Longitude(10.140107)),
// new GeoCoordinate(new Latitude(49.730664), new Longitude(10.146802)));
//var Line_S5S7Center2Center2 = new GeoLine(Line_S5S7.Center,
// Center2);
//var Intersection3 = Line_S5S7Center2Center2.Intersection(LineX_14_15);
//DrawLine(Center2, Intersection3, Brushes.Red, 1.0);
//// ------------------------------------------------------------------------
//var LineX_17_18 = new GeoLine(new GeoCoordinate(new Latitude(49.732413101183180), new Longitude(10.149564743041992)),
// new GeoCoordinate(new Latitude(49.731469976708340), new Longitude(10.148684978485107)));
//var Line_S7S6 = new GeoLine(new GeoCoordinate(new Latitude(49.730664), new Longitude(10.146802)),
// new GeoCoordinate(new Latitude(49.731791), new Longitude(10.145903)));
//var Line_S7S6Center2Center2 = new GeoLine(Line_S7S6.Center,
// Center2);
//var Intersection4 = Line_S7S6Center2Center2.Intersection(LineX_17_18);
//DrawLine(Line_S7S6.Center, Intersection4, Brushes.Red, 1.0);
//// ------------------------------------------------------------------------
//var Center3 = new GeoCoordinate(new Latitude(49.7318726185525), new Longitude(10.1424804925919));
//var LineX_23_24 = new GeoLine(new GeoCoordinate(new Latitude(49.734146738072006), new Longitude(10.144844055175781)),
// new GeoCoordinate(new Latitude(49.733966442720840), new Longitude(10.142934322357178)));
//var Line_S6S3 = new GeoLine(new GeoCoordinate(new Latitude(49.731791), new Longitude(10.145903)),
// new GeoCoordinate(new Latitude(49.732552), new Longitude(10.139216)));
//var Line_S6S3Center2Center3 = new GeoLine(Line_S6S3.Center,
// Center3);
//var Intersection5 = Line_S6S3Center2Center3.Intersection(LineX_23_24);
//DrawLine(Line_S6S3.Center, Intersection5, Brushes.Red, 1.0);
}
}