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Unified map projections

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ClemensFischer 2026-02-01 18:23:03 +01:00
parent 9fe7dccd68
commit 36781140ac
7 changed files with 150 additions and 172 deletions
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68
MapControl/Shared/TransverseMercatorProjection.cs
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@ -16,24 +16,32 @@ 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
private double b1; // β1
private double b2; // β2
private double b3; // β3
private double d1; // δ1
private double d2; // δ2
private double d3; // δ3
private double f1; // A/a
private double f2; // 2*sqrt(n)/(1+n)
private readonly double n;
private readonly double a1; // α1
private readonly double a2; // α2
private readonly double a3; // α3
private readonly double b1; // β1
private readonly double b2; // β2
private readonly double b3; // β3
private readonly double d1; // δ1
private readonly double d2; // δ2
private readonly double d3; // δ3
private readonly double f1; // A/a
private readonly double f2; // 2*sqrt(n)/(1+n)
private void InitializeParameters()
public TransverseMercatorProjection(
double equatorialRadius, double flattening,
double scaleFactor, double centralMeridian,
double falseEasting, double falseNorthing = 0d)
{
f = Flattening;
n = f / (2d - f);
EquatorialRadius = equatorialRadius;
Flattening = flattening;
ScaleFactor = scaleFactor;
CentralMeridian = centralMeridian;
FalseEasting = falseEasting;
FalseNorthing = falseNorthing;
n = flattening / (2d - flattening);
var n2 = n * n;
var n3 = n * n2;
a1 = n / 2d - n2 * 2d / 3d + n3 * 5d / 16d;
@ -49,17 +57,14 @@ namespace MapControl
f2 = 2d * Math.Sqrt(n) / (1d + n);
}
public TransverseMercatorProjection()
public TransverseMercatorProjection(
double equatorialRadius, double flattening,
double scaleFactor, int utmZone, bool north = true)
: this(equatorialRadius, flattening,
scaleFactor, utmZone * 6d - 183d, 5e5, north ? 0d : 1e7)
{
}
public TransverseMercatorProjection(int utmZone) : this()
{
CentralMeridian = utmZone * 6d - 183d;
ScaleFactor = 0.9996;
FalseEasting = 5e5;
}
public override double GridConvergence(double latitude, double longitude)
{
// φ
@ -74,11 +79,6 @@ 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);
@ -118,11 +118,6 @@ 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);
@ -152,11 +147,6 @@ namespace MapControl
public override Location MapToLocation(double x, double y)
{
if (f != Flattening)
{
InitializeParameters();
}
// k0 * A
var k0A = ScaleFactor * EquatorialRadius * f1;
// ξ