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Project a 2D Point on a Line

/ Published in: C#
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Perpendicularly project a 2D point onto a 2D line.

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  1. private Point Project(Point line1, Point line2, Point toProject)
  2. {
  3.     double m = (double)(line2.Y - line1.Y) / (line2.X - line1.X);
  4.     double b = (double)line1.Y - (m * line1.X);
  5.  
  6.     double x = (m * toProject.Y + toProject.X - m * b) / (m * m + 1);
  7.     double y = (m * m * toProject.Y + m * toProject.X + b) / (m * m + 1);
  8.  
  9.     return new Point((int)x, (int)y);
  10. }

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