public static Segment NearestEdgeFromPointToPolygon(Point P, ConvexPolygon polygon)
{
double distance = double.PositiveInfinity;
Segment nearest = null;
for (int i = 0; i < polygon.Count; i++)
{
Point A = polygon[i];
Point B = polygon[(i + 1) % polygon.Count];
double curDistance = P.DistanceToSegment(new Segment(A, B));
if (curDistance < distance)
{
distance = curDistance;
nearest = new Segment(A, B);
}
distance = Math.Min(distance, P.DistanceToSegment(new Segment(A, B)));
}
return(nearest);
}
