/// <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); } }