mirror of
https://github.com/ClemensFischer/XAML-Map-Control.git
synced 2026-02-06 15:54:14 +01:00
Updated map projections
This commit is contained in:
parent
d790200cf1
commit
359cbe8908
|
|
@ -69,12 +69,13 @@ namespace MapControl
|
|||
x = sign * (x - FalseEasting);
|
||||
y = sign * (y - FalseNorthing);
|
||||
|
||||
var e = Math.Sqrt((2d - Flattening) * Flattening);
|
||||
var e2 = (2d - Flattening) * Flattening;
|
||||
var e = Math.Sqrt(e2);
|
||||
var r = Math.Sqrt(x * x + y * y); // p.162 (20-18)
|
||||
var t = r * Math.Sqrt(Math.Pow(1d + e, 1d + e) * Math.Pow(1d - e, 1d - e))
|
||||
/ (2d * EquatorialRadius * ScaleFactor); // p.162 (21-39)
|
||||
|
||||
var phi = WorldMercatorProjection.ApproximateLatitude(e, t); // p.162 (3-5)
|
||||
var phi = WorldMercatorProjection.ApproximateLatitude(e2, t); // p.162 (3-5)
|
||||
var lambda = Math.Atan2(x, -y); // p.162 (20-16)
|
||||
|
||||
return new Location(sign * phi * 180d / Math.PI, sign * lambda * 180d / Math.PI);
|
||||
|
|
|
|||
|
|
@ -43,8 +43,8 @@ namespace MapControl
|
|||
|
||||
public override Location MapToLocation(double x, double y)
|
||||
{
|
||||
return new Location(
|
||||
YToLatitude(y / EquatorialRadius * 180d / Math.PI),
|
||||
return new Location(YToLatitude(
|
||||
y / EquatorialRadius * 180d / Math.PI),
|
||||
x / EquatorialRadius * 180d / Math.PI);
|
||||
}
|
||||
|
||||
|
|
|
|||
|
|
@ -14,10 +14,10 @@ namespace MapControl
|
|||
/// </summary>
|
||||
public class WorldMercatorProjection : MapProjection
|
||||
{
|
||||
public static readonly double Wgs84Eccentricity = Math.Sqrt((2d - Wgs84Flattening) * Wgs84Flattening);
|
||||
|
||||
public const string DefaultCrsId = "EPSG:3395";
|
||||
|
||||
public double Flattening { get; set; } = Wgs84Flattening;
|
||||
|
||||
public WorldMercatorProjection() // parameterless constructor for XAML
|
||||
: this(DefaultCrsId)
|
||||
{
|
||||
|
|
@ -31,62 +31,51 @@ namespace MapControl
|
|||
|
||||
public override Matrix RelativeTransform(double latitude, double longitude)
|
||||
{
|
||||
var k = RelativeScale(latitude);
|
||||
var phi = latitude * Math.PI / 180d;
|
||||
var e2 = (2d - Flattening) * Flattening;
|
||||
var sinPhi = Math.Sin(phi);
|
||||
var k = Math.Sqrt(1d - e2 * sinPhi * sinPhi) / Math.Cos(phi); // p.44 (7-8)
|
||||
|
||||
return new Matrix(k, 0d, 0d, k, 0d, 0d);
|
||||
}
|
||||
|
||||
public override Point LocationToMap(double latitude, double longitude)
|
||||
{
|
||||
return new Point(
|
||||
EquatorialRadius * Math.PI / 180d * longitude,
|
||||
EquatorialRadius * Math.PI / 180d * LatitudeToY(latitude));
|
||||
var x = EquatorialRadius * longitude * Math.PI / 180d;
|
||||
double y;
|
||||
|
||||
if (latitude <= -90d)
|
||||
{
|
||||
y = double.NegativeInfinity;
|
||||
}
|
||||
else if (latitude >= 90d)
|
||||
{
|
||||
y = double.PositiveInfinity;
|
||||
}
|
||||
else
|
||||
{
|
||||
var phi = latitude * Math.PI / 180d;
|
||||
var e = Math.Sqrt((2d - Flattening) * Flattening);
|
||||
var eSinPhi = e * Math.Sin(phi);
|
||||
var f = Math.Pow((1d - eSinPhi) / (1d + eSinPhi), e / 2d);
|
||||
|
||||
y = EquatorialRadius * Math.Log(Math.Tan(phi / 2d + Math.PI / 4d) * f); // p.44 (7-7)
|
||||
}
|
||||
|
||||
return new Point(x, y);
|
||||
}
|
||||
|
||||
public override Location MapToLocation(double x, double y)
|
||||
{
|
||||
return new Location(
|
||||
YToLatitude(y / EquatorialRadius * 180d / Math.PI),
|
||||
x / EquatorialRadius * 180d / Math.PI);
|
||||
var t = Math.Exp(-y / EquatorialRadius); // p.44 (7-10)
|
||||
var phi = ApproximateLatitude((2d - Flattening) * Flattening, t); // p.45 (3-5)
|
||||
var lambda = x / EquatorialRadius;
|
||||
|
||||
return new Location(phi * 180d / Math.PI, lambda * 180d / Math.PI);
|
||||
}
|
||||
|
||||
public static double RelativeScale(double latitude)
|
||||
internal static double ApproximateLatitude(double e2, double t)
|
||||
{
|
||||
var phi = latitude * Math.PI / 180d;
|
||||
var eSinPhi = Wgs84Eccentricity * Math.Sin(phi);
|
||||
|
||||
return Math.Sqrt(1d - eSinPhi * eSinPhi) / Math.Cos(phi); // p.44 (7-8)
|
||||
}
|
||||
|
||||
public static double LatitudeToY(double latitude)
|
||||
{
|
||||
if (latitude <= -90d)
|
||||
{
|
||||
return double.NegativeInfinity;
|
||||
}
|
||||
|
||||
if (latitude >= 90d)
|
||||
{
|
||||
return double.PositiveInfinity;
|
||||
}
|
||||
|
||||
var phi = latitude * Math.PI / 180d;
|
||||
var eSinPhi = Wgs84Eccentricity * Math.Sin(phi);
|
||||
var f = Math.Pow((1d - eSinPhi) / (1d + eSinPhi), Wgs84Eccentricity / 2d);
|
||||
|
||||
return Math.Log(Math.Tan(phi / 2d + Math.PI / 4d) * f) * 180d / Math.PI; // p.44 (7-7)
|
||||
}
|
||||
|
||||
public static double YToLatitude(double y)
|
||||
{
|
||||
var t = Math.Exp(-y * Math.PI / 180d); // p.44 (7-10)
|
||||
|
||||
return ApproximateLatitude(Wgs84Eccentricity, t) * 180d / Math.PI;
|
||||
}
|
||||
|
||||
internal static double ApproximateLatitude(double e, double t)
|
||||
{
|
||||
var e2 = e * e;
|
||||
var e4 = e2 * e2;
|
||||
var e6 = e2 * e4;
|
||||
var e8 = e2 * e6;
|
||||
|
|
|
|||
|
|
@ -15,7 +15,7 @@ namespace MapControl.Projections
|
|||
/// </summary>
|
||||
public class ProjNetMapProjection : MapProjection
|
||||
{
|
||||
protected MapProjection FallbackProjection { get; }
|
||||
protected MapProjection FallbackProjection { get; private set; }
|
||||
|
||||
protected ProjNetMapProjection(MapProjection fallbackProjection)
|
||||
{
|
||||
|
|
@ -49,10 +49,10 @@ namespace MapControl.Projections
|
|||
field = value ??
|
||||
throw new ArgumentNullException(nameof(value));
|
||||
|
||||
var name = field.Projection?.Name ??
|
||||
var projection = field.Projection ??
|
||||
throw new ArgumentException("CoordinateSystem.Projection must not be null.", nameof(value));
|
||||
|
||||
IsNormalCylindrical = name.StartsWith("Mercator") || name.Contains("Pseudo-Mercator");
|
||||
IsNormalCylindrical = projection.Name.StartsWith("Mercator") || projection.Name.Contains("Pseudo-Mercator");
|
||||
|
||||
var transformFactory = new CoordinateTransformationFactory();
|
||||
|
||||
|
|
@ -67,6 +67,48 @@ namespace MapControl.Projections
|
|||
CrsId = !string.IsNullOrEmpty(field.Authority) && field.AuthorityCode > 0
|
||||
? $"{field.Authority}:{field.AuthorityCode}"
|
||||
: string.Empty;
|
||||
|
||||
var ellipsoid = field.GeographicCoordinateSystem.HorizontalDatum.Ellipsoid;
|
||||
|
||||
if (projection.Name.Contains("Pseudo-Mercator"))
|
||||
{
|
||||
FallbackProjection = new MapControl.WebMercatorProjection
|
||||
{
|
||||
EquatorialRadius = ellipsoid.SemiMajorAxis
|
||||
};
|
||||
}
|
||||
else if (projection.Name.StartsWith("Mercator"))
|
||||
{
|
||||
FallbackProjection = new MapControl.WorldMercatorProjection
|
||||
{
|
||||
EquatorialRadius = ellipsoid.SemiMajorAxis,
|
||||
Flattening = 1d / ellipsoid.InverseFlattening
|
||||
};
|
||||
}
|
||||
else if (projection.Name.StartsWith("Transverse_Mercator"))
|
||||
{
|
||||
FallbackProjection = new TransverseMercatorProjection
|
||||
{
|
||||
EquatorialRadius = ellipsoid.SemiMajorAxis,
|
||||
Flattening = 1d / ellipsoid.InverseFlattening,
|
||||
CentralMeridian = projection.GetParameter("central_meridian").Value,
|
||||
ScaleFactor = projection.GetParameter("scale_factor").Value,
|
||||
FalseEasting = projection.GetParameter("false_easting").Value,
|
||||
FalseNorthing = projection.GetParameter("false_northing").Value
|
||||
};
|
||||
}
|
||||
else if (projection.Name.StartsWith("Polar_Stereographic"))
|
||||
{
|
||||
FallbackProjection = new PolarStereographicProjection
|
||||
{
|
||||
EquatorialRadius = ellipsoid.SemiMajorAxis,
|
||||
Flattening = 1d / ellipsoid.InverseFlattening,
|
||||
ScaleFactor = projection.GetParameter("scale_factor").Value,
|
||||
FalseEasting = projection.GetParameter("false_easting").Value,
|
||||
FalseNorthing = projection.GetParameter("false_northing").Value,
|
||||
Hemisphere = projection.GetParameter("latitude_of_origin").Value >= 0 ? Hemisphere.North : Hemisphere.South
|
||||
};
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
|
|
|||
Loading…
Reference in a new issue