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Unified map projections

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ClemensFischer 2026-02-01 17:25:04 +01:00
parent a4bd11e26d
commit 9fe7dccd68
21 changed files with 370 additions and 377 deletions
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66
MapControl/Shared/TransverseMercatorProjection.cs
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@ -16,6 +16,8 @@ namespace MapControl
/// </summary>
public class TransverseMercatorProjection : MapProjection
{
private double f;
private double n;
private double a1; // α1
private double a2; // α2
private double a3; // α3
@ -28,38 +30,36 @@ namespace MapControl
private double f1; // A/a
private double f2; // 2*sqrt(n)/(1+n)
private void InitializeParameters()
{
f = Flattening;
n = f / (2d - f);
var n2 = n * n;
var n3 = n * n2;
a1 = n / 2d - n2 * 2d / 3d + n3 * 5d / 16d;
a2 = n2 * 13d / 48d - n3 * 3d / 5d;
a3 = n3 * 61d / 240d;
b1 = n / 2d - n2 * 2d / 3d + n3 * 37d / 96d;
b2 = n2 / 48d + n3 / 15d;
b3 = n3 * 17d / 480d;
d1 = n * 2d - n2 * 2d / 3d - n3 * 2d;
d2 = n2 * 7d / 3d - n3 * 8d / 5d;
d3 = n3 * 56d / 15d;
f1 = (1d + n2 / 4d + n2 * n2 / 64d) / (1d + n);
f2 = 2d * Math.Sqrt(n) / (1d + n);
}
public TransverseMercatorProjection()
{
Flattening = Wgs84Flattening;
}
public double Flattening
public TransverseMercatorProjection(int utmZone) : this()
{
get;
set
{
field = value;
var n = field / (2d - field);
var n2 = n * n;
var n3 = n * n2;
a1 = n / 2d - n2 * 2d / 3d + n3 * 5d / 16d;
a2 = n2 * 13d / 48d - n3 * 3d / 5d;
a3 = n3 * 61d / 240d;
b1 = n / 2d - n2 * 2d / 3d + n3 * 37d / 96d;
b2 = n2 / 48d + n3 / 15d;
b3 = n3 * 17d / 480d;
d1 = n * 2d - n2 * 2d / 3d - n3 * 2d;
d2 = n2 * 7d / 3d - n3 * 8d / 5d;
d3 = n3 * 56d / 15d;
f1 = (1d + n2 / 4d + n2 * n2 / 64d) / (1d + n);
f2 = 2d * Math.Sqrt(n) / (1d + n);
}
CentralMeridian = utmZone * 6d - 183d;
ScaleFactor = 0.9996;
FalseEasting = 5e5;
}
public double ScaleFactor { get; set; } = 0.9996;
public double FalseEasting { get; set; } = 5e5;
public double FalseNorthing { get; set; }
public override double GridConvergence(double latitude, double longitude)
{
// φ
@ -74,6 +74,11 @@ namespace MapControl
public override Matrix RelativeTransform(double latitude, double longitude)
{
if (f != Flattening)
{
InitializeParameters();
}
// φ
var phi = latitude * Math.PI / 180d;
var sinPhi = Math.Sin(phi);
@ -99,7 +104,6 @@ namespace MapControl
4d * a2 * Math.Sin(4d * xi_) * Math.Sinh(4d * eta_) +
6d * a3 * Math.Sin(6d * xi_) * Math.Sinh(6d * eta_);
var n = Flattening / (2d - Flattening);
var m = (1d - n) / (1d + n) * Math.Tan(phi);
var k = ScaleFactor * f1 * Math.Sqrt((1d + m * m) * (sigma * sigma + tau * tau) / (t * t + cosLambda * cosLambda));
@ -114,6 +118,11 @@ namespace MapControl
public override Point LocationToMap(double latitude, double longitude)
{
if (f != Flattening)
{
InitializeParameters();
}
// φ
var phi = latitude * Math.PI / 180d;
var sinPhi = Math.Sin(phi);
@ -143,6 +152,11 @@ namespace MapControl
public override Location MapToLocation(double x, double y)
{
if (f != Flattening)
{
InitializeParameters();
}
// k0 * A
var k0A = ScaleFactor * EquatorialRadius * f1;
// ξ