ClemensFischer/XAML-Map-Control
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MapProjection.GridConvergence, rotation instead of Matrix

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ClemensFischer 2026-01-29 21:36:11 +01:00
parent 45b47bbae4
commit 4ad9f2ea2a
15 changed files with 272 additions and 239 deletions
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58
MapControl/Shared/PolarStereographicProjection.cs
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@ -21,32 +21,6 @@ namespace MapControl
public double FalseNorthing { get; set; } = 2e6;
public Hemisphere Hemisphere { get; set; }
public static Matrix RelativeScale(Hemisphere hemisphere, double flattening, double scaleFactor, double latitude, double longitude)
{
var sign = hemisphere == Hemisphere.North ? 1d : -1d;
var phi = sign * latitude * Math.PI / 180d;
var e = Math.Sqrt((2d - flattening) * flattening);
var eSinPhi = e * Math.Sin(phi);
var t = Math.Tan(Math.PI / 4d - phi / 2d)
/ Math.Pow((1d - eSinPhi) / (1d + eSinPhi), e / 2d); // p.161 (15-9)
// r == ρ/a
var r = 2d * scaleFactor * t / Math.Sqrt(Math.Pow(1d + e, 1d + e) * Math.Pow(1d - e, 1d - e)); // p.161 (21-33)
var m = Math.Cos(phi) / Math.Sqrt(1d - eSinPhi * eSinPhi); // p.160 (14-15)
var k = r / m; // p.161 (21-32)
var transform = new Matrix(k, 0d, 0d, k, 0d, 0d);
transform.Rotate(-sign * longitude);
return transform;
}
public override Matrix RelativeTransform(double latitude, double longitude)
{
return RelativeScale(Hemisphere, Flattening, ScaleFactor, latitude, longitude);
}
public override Point LocationToMap(double latitude, double longitude)
{
var sign = Hemisphere == Hemisphere.North ? 1d : -1d;
@ -68,6 +42,27 @@ namespace MapControl
return new Point(x + FalseEasting, y + FalseNorthing);
}
public override Matrix RelativeTransform(double latitude, double longitude)
{
var sign = Hemisphere == Hemisphere.North ? 1d : -1d;
var phi = sign * latitude * Math.PI / 180d;
var e = Math.Sqrt((2d - Flattening) * Flattening);
var eSinPhi = e * Math.Sin(phi);
var t = Math.Tan(Math.PI / 4d - phi / 2d)
/ Math.Pow((1d - eSinPhi) / (1d + eSinPhi), e / 2d); // p.161 (15-9)
// r == ρ/a
var r = 2d * ScaleFactor * t / Math.Sqrt(Math.Pow(1d + e, 1d + e) * Math.Pow(1d - e, 1d - e)); // p.161 (21-33)
var m = Math.Cos(phi) / Math.Sqrt(1d - eSinPhi * eSinPhi); // p.160 (14-15)
var k = r / m; // p.161 (21-32)
var transform = new Matrix(k, 0d, 0d, k, 0d, 0d);
transform.Rotate(-sign * longitude);
return transform;
}
public override Location MapToLocation(double x, double y)
{
var sign = Hemisphere == Hemisphere.North ? 1d : -1d;
@ -84,6 +79,17 @@ namespace MapControl
return new Location(sign * phi * 180d / Math.PI, sign * lambda * 180d / Math.PI);
}
public override double GridConvergence(double x, double y)
{
var sign = Hemisphere == Hemisphere.North ? 1d : -1d;
x = sign * (x - FalseEasting);
y = sign * (y - FalseNorthing);
var lambda = Math.Atan2(x, -y); // p.162 (20-16)
return lambda * 180d / Math.PI;
}
}
/// <summary>