/// <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(IPixel <T> Pixel, IPixel <T> EdgePixel1, IPixel <T> EdgePixel2, IPixel <T> 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
var Math = MathsFactory <T> .Instance;
#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.X.Equals(EdgePixel2.X) &&
EdgePixel2.X.Equals(EdgePixel3.X))
{
throw new ArgumentException("All three pixels must not be on a single line!");
}
if (EdgePixel1.Y.Equals(EdgePixel2.Y) &&
EdgePixel2.Y.Equals(EdgePixel3.Y))
{
throw new ArgumentException("All three pixels must not be on a single line!");
}
#endregion
var _Line12 = new Line2D <T>(EdgePixel1, EdgePixel2);
var _Line23 = new Line2D <T>(EdgePixel2, EdgePixel3);
var _Normale12 = _Line12.Normale;
var _Normale23 = _Line23.Normale;
var Center = new Line2D <T>(_Line12.Center, _Normale12.X, _Normale12.Y).
Intersection(
new Line2D <T>(_Line23.Center, _Normale23.X, _Normale23.Y));
return(Center.DistanceTo(Pixel).
IsLessThanOrEquals(
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 Circle(IPixel <T> Pixel1, IPixel <T> Pixel2, IPixel <T> 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
this.Math = MathsFactory <T> .Instance;
#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.X.Equals(Pixel2.X) &&
// Pixel2.X.Equals(Pixel3.X))
// throw new ArgumentException("All three pixels must not be on a single line!");
//if (Pixel1.Y.Equals(Pixel2.Y) &&
// Pixel2.Y.Equals(Pixel3.Y))
// throw new ArgumentException("All three pixels must not be on a single line!");
#endregion
var _Line12 = new Line2D <T>(Pixel1, Pixel2);
var _Line23 = new Line2D <T>(Pixel2, Pixel3);
var _Normale12 = _Line12.Normale;
var _Normale23 = _Line23.Normale;
Center = new Line2D <T>(_Line12.Center, _Normale12.X, _Normale12.Y).
Intersection(
new Line2D <T>(_Line23.Center, _Normale23.X, _Normale23.Y));
if (Center != null)
{
X = Center.X;
Y = Center.Y;
Radius = Pixel1.DistanceTo(X, Y);
}
else
{
X = default(T);
Y = default(T);
Radius = default(T);
}
}
