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Updated MapProjection and MapGraticule

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ClemensFischer 2026-02-01 01:42:24 +01:00
parent 2a45c1165c
commit cfed3575ac
16 changed files with 392 additions and 355 deletions
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68
MapControl/Shared/PolarStereographicProjection.cs
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@ -19,11 +19,37 @@ namespace MapControl
public double ScaleFactor { get; set; } = 0.994;
public double FalseEasting { get; set; } = 2e6;
public double FalseNorthing { get; set; } = 2e6;
public Hemisphere Hemisphere { get; set; }
public override double GridConvergence(double latitude, double longitude)
{
return Math.Sign(LatitudeOfOrigin) * (longitude - CentralMeridian);
}
public override Matrix RelativeTransform(double latitude, double longitude)
{
var sign = Math.Sign(LatitudeOfOrigin);
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 Point LocationToMap(double latitude, double longitude)
{
var sign = Hemisphere == Hemisphere.North ? 1d : -1d;
var sign = Math.Sign(LatitudeOfOrigin);
var phi = sign * latitude * Math.PI / 180d;
var lambda = sign * longitude * Math.PI / 180d;
@ -42,30 +68,9 @@ 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;
var sign = Math.Sign(LatitudeOfOrigin);
x = sign * (x - FalseEasting);
y = sign * (y - FalseNorthing);
@ -80,17 +85,6 @@ 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>
@ -108,7 +102,7 @@ namespace MapControl
public Wgs84UpsNorthProjection(string crsId)
{
CrsId = crsId;
Hemisphere = Hemisphere.North;
LatitudeOfOrigin = 90d;
}
}
@ -127,7 +121,7 @@ namespace MapControl
public Wgs84UpsSouthProjection(string crsId)
{
CrsId = crsId;
Hemisphere = Hemisphere.South;
LatitudeOfOrigin = -90d;
}
}
}