/// <summary>
/// Get the corresponding tile for the given geo coordinate.
/// </summary>
/// <param name="GeoCoordinates">An enumeration of geo coordinates.</param>
public static GeoBoundingBox GeoCoordinate2BoundingBox(this IEnumerable <GeoCoordinate> GeoCoordinates)
{
var MinLat = Double.MaxValue;
var MaxLat = Double.MinValue;
var MinLng = Double.MaxValue;
var MaxLng = Double.MinValue;
var MinAlt = Double.MaxValue;
var MaxAlt = Double.MinValue;
foreach (var GeoCoordinate in GeoCoordinates)
{
if (GeoCoordinate.Latitude.Value < MinLat)
{
MinLat = GeoCoordinate.Latitude.Value;
}
if (GeoCoordinate.Longitude.Value < MinLng)
{
MinLng = GeoCoordinate.Longitude.Value;
}
if (GeoCoordinate.Altitude.HasValue &&
GeoCoordinate.Altitude.Value.Value < MinAlt)
{
MinAlt = GeoCoordinate.Altitude.Value.Value;
}
if (GeoCoordinate.Latitude.Value > MaxLat)
{
MaxLat = GeoCoordinate.Latitude.Value;
}
if (GeoCoordinate.Longitude.Value > MaxLng)
{
MaxLng = GeoCoordinate.Longitude.Value;
}
if (GeoCoordinate.Altitude.HasValue &&
GeoCoordinate.Altitude.Value.Value > MaxAlt)
{
MaxAlt = GeoCoordinate.Altitude.Value.Value;
}
}
return(new GeoBoundingBox(
Latitude.Parse(MinLat),
Longitude.Parse(MinLng),
Altitude.Parse(MinAlt),
Latitude.Parse(MaxLat),
Longitude.Parse(MaxLng),
Altitude.Parse(MaxAlt)
));
}
public GeoBoundingBox(Latitude Latitude,
Longitude Longitude,
Latitude Latitude2,
Longitude Longitude2)
: this(Latitude, Longitude, Altitude.Parse(0),
Latitude2, Longitude2, Altitude.Parse(0))
{
}
// 2.1.1. Positions
// A position is the fundamental geometry construct. The "coordinates" member
// of a geometry object is composed of one position (in the case of a Point
// geometry), an array of positions (LineString or MultiPoint geometries), an
// array of arrays of positions (Polygons, MultiLineStrings), or a
// multidimensional array of positions (MultiPolygon).
//
// A position is represented by an array of numbers. There must be at least
// two elements, and may be more. The order of elements must follow x, y, z
// order (easting, northing, altitude for coordinates in a projected coordinate
// reference system, or longitude, latitude, altitude for coordinates in a
// geographic coordinate reference system). Any number of additional elements
// are allowed -- interpretation and meaning of additional elements is beyond
// the scope of this specification.
// Point
//
// Point coordinates are in x, y order (easting, northing for projected
// coordinates, longitude, latitude for geographic coordinates):
//
// {
// "type": "Point",
// "coordinates": [100.0, 0.0]
// }
// LineString
//
// Coordinates of LineString are an array of positions (see 2.1.1. Positions):
//
// {
// "type": "LineString",
// "coordinates": [ [100.0, 0.0], [101.0, 1.0] ]
// }
//Polygon
//Coordinates of a Polygon are an array of LinearRing coordinate arrays. The first element in the array represents the exterior ring. Any subsequent elements represent interior rings (or holes).
//No holes:
//{ "type": "Polygon",
// "coordinates": [
// [ [100.0, 0.0], [101.0, 0.0], [101.0, 1.0], [100.0, 1.0], [100.0, 0.0] ]
// ]
// }
//With holes:
//{ "type": "Polygon",
// "coordinates": [
// [ [100.0, 0.0], [101.0, 0.0], [101.0, 1.0], [100.0, 1.0], [100.0, 0.0] ],
// [ [100.2, 0.2], [100.8, 0.2], [100.8, 0.8], [100.2, 0.8], [100.2, 0.2] ]
// ]
// }
//MultiPoint
//Coordinates of a MultiPoint are an array of positions:
//{ "type": "MultiPoint",
// "coordinates": [ [100.0, 0.0], [101.0, 1.0] ]
// }
//MultiLineString
//Coordinates of a MultiLineString are an array of LineString coordinate arrays:
//{ "type": "MultiLineString",
// "coordinates": [
// [ [100.0, 0.0], [101.0, 1.0] ],
// [ [102.0, 2.0], [103.0, 3.0] ]
// ]
// }
//MultiPolygon
//Coordinates of a MultiPolygon are an array of Polygon coordinate arrays:
//{ "type": "MultiPolygon",
// "coordinates": [
// [[[102.0, 2.0], [103.0, 2.0], [103.0, 3.0], [102.0, 3.0], [102.0, 2.0]]],
// [[[100.0, 0.0], [101.0, 0.0], [101.0, 1.0], [100.0, 1.0], [100.0, 0.0]],
// [[100.2, 0.2], [100.8, 0.2], [100.8, 0.8], [100.2, 0.8], [100.2, 0.2]]]
// ]
// }
//GeometryCollection
//Each element in the geometries array of a GeometryCollection is one of the geometry objects described above:
//{ "type": "GeometryCollection",
// "geometries": [
// { "type": "Point",
// "coordinates": [100.0, 0.0]
// },
// { "type": "LineString",
// "coordinates": [ [101.0, 0.0], [102.0, 1.0] ]
// }
// ]
//}
// 2.2. Feature Objects
//A GeoJSON object with the type "Feature" is a feature object.
//A feature object must have a member with the name "geometry". The value of the geometry member is a geometry object as defined above or a JSON null value.
//A feature object must have a member with the name "properties". The value of the properties member is an object (any JSON object or a JSON null value).
//If a feature has a commonly used identifier, that identifier should be included as a member of the feature object with the name "id".
// { "type": "FeatureCollection",
// "features": [
// {
// "type": "Feature",
// "geometry": {
// "type": "Point",
// "coordinates": [102.0, 0.5]
// },
// "properties": {
// "prop0": "value0"
// }
// },
// { "type": "Feature",
// "geometry": {
// "type": "LineString",
// "coordinates": [
// [102.0, 0.0], [103.0, 1.0], [104.0, 0.0], [105.0, 1.0]
// ]
// },
// "properties": {
// "prop0": "value0",
// "prop1": 0.0
// }
// },
// { "type": "Feature",
// "geometry": {
// "type": "Polygon",
// "coordinates": [
// [ [100.0, 0.0], [101.0, 0.0], [101.0, 1.0],
// [100.0, 1.0], [100.0, 0.0] ]
// ]
// },
// "properties": {
// "prop0": "value0",
// "prop1": {"this": "that"}
// }
// }
// ]
// }
public static GeoBoundingBox GetBoundingBox(JObject GeoJSON,
Int32 FeatureId = 0,
Int32 ObjectId = 0)
{
Double lng, lat;
var min_lng = Double.MaxValue;
var max_lng = Double.MinValue;
var min_lat = Double.MaxValue;
var max_lat = Double.MinValue;
var GeoCoordinates = GeoJSON?["features"]?[FeatureId]?["geometry"]?["coordinates"]?[ObjectId];
if (GeoCoordinates == null)
{
return(new GeoBoundingBox(Latitude.Parse(0), Longitude.Parse(0), Altitude.Parse(0),
Latitude.Parse(0), Longitude.Parse(0), Altitude.Parse(0)));
}
else
{
foreach (var value in GeoCoordinates)
{
lng = Double.Parse(value[0].Value <String>());
lat = Double.Parse(value[1].Value <String>());
if (min_lat > lat)
{
min_lat = lat;
}
if (max_lat < lat)
{
max_lat = lat;
}
if (min_lng > lng)
{
min_lng = lng;
}
if (max_lng < lng)
{
max_lng = lng;
}
}
}
return(new GeoBoundingBox(Latitude.Parse(min_lat), Longitude.Parse(min_lng), Altitude.Parse(0),
Latitude.Parse(max_lat), Longitude.Parse(max_lng), Altitude.Parse(0)));
}
public GeoCoordinate Transform(Double Hochwert,
Double Rechtswert,
Double Hoehe,
String Bezugsmeridian = "Automatische Ermittlung")
{
// Based on: GK_in_WGS84.cs
// Copyright (c) 2008 by Ingo Peczynski
// http://www.sky-maps.de
// [email protected]
// Compare to http://calc.gknavigation.de/
#region Konstante Parameter
// WGS84 Ellipsoid
var WGS84_a = 6378137.0; // große Halbachse
var WGS84_b = 6356752.3141; // kleine Halbachse
var WGS84_e2 = (Math.Pow(WGS84_a, 2) - Math.Pow(WGS84_b, 2)) / Math.Pow(WGS84_a, 2); // 1.Numerische Exzentrität
var WGS84_f = (WGS84_a - WGS84_b) / WGS84_a; // Abplattung 1: fW
// Bessel Ellipsoid
var Bessel_a = 6377397.155;
var Bessel_b = 6356078.962;
var Bessel_e2 = (Bessel_a * Bessel_a - Bessel_b * Bessel_b) / (Bessel_a * Bessel_a);
#endregion
#region MeridianUmrechnung
Int32 Meridianneu;
if (Bezugsmeridian == "Automatische Ermittlung")
{
Meridianneu = 3 * Convert.ToInt32(Rechtswert.ToString().Substring(0, 1));
}
else
{
Meridianneu = Convert.ToInt32(Bezugsmeridian);
}
#endregion
#region GK nach BL
// Bessel Ellipsoid
var n = (Bessel_a - Bessel_b) / (Bessel_a + Bessel_b);
var alpha = (Bessel_a + Bessel_b) / 2.0 * (1.0 + 1.0 / 4.0 * n * n + 1.0 / 64.0 * Math.Pow(n, 4));
var beta = 3.0 / 2.0 * n - 27.0 / 32.0 * Math.Pow(n, 3) + 269.0 / 512.0 * Math.Pow(n, 5);
var gamma = 21.0 / 16.0 * n * n - 55.0 / 32.0 * Math.Pow(n, 4);
var delta = 151.0 / 96.0 * Math.Pow(n, 3) - 417.0 / 128.0 * Math.Pow(n, 5);
var epsilon = 1097.0 / 512.0 * Math.Pow(n, 4);
var y0 = Meridianneu / 3.0;
var y = Rechtswert - y0 * 1000000 - 500000;
var B0 = Hochwert / alpha;
var Bf = B0 + beta * Math.Sin(2 * B0) + gamma * Math.Sin(4 * B0) + delta * Math.Sin(6 * B0) + epsilon * Math.Sin(8 * B0);
var Nf = Bessel_a / Math.Sqrt(1.0 - Bessel_e2 * Math.Pow(Math.Sin(Bf), 2));
var ETAf = Math.Sqrt((Bessel_a * Bessel_a) / (Bessel_b * Bessel_b) * Bessel_e2 * Math.Pow(Math.Cos(Bf), 2));
var tf = Math.Tan(Bf);
var b1 = tf / 2.0 / (Nf * Nf) * (-1.0 - (ETAf * ETAf)) * (y * y);
var b2 = tf / 24.0 / Math.Pow(Nf, 4) * (5.0 + 3.0 * (tf * tf) + 6.0 * (ETAf * ETAf) - 6.0 * (tf * tf) * (ETAf * ETAf) - 4.0 * Math.Pow(ETAf, 4) - 9.0 * (tf * tf) * Math.Pow(ETAf, 4)) * Math.Pow(y, 4);
var g_B = (Bf + b1 + b2) * 180 / Math.PI;
var l1 = 1.0 / Nf / Math.Cos(Bf) * y;
var l2 = 1.0 / 6.0 / Math.Pow(Nf, 3) / Math.Cos(Bf) * (-1.0 - 2.0 * (tf * tf) - (ETAf * ETAf)) * Math.Pow(y, 3);
var g_L = Meridianneu + (l1 + l2) * 180 / Math.PI;
#endregion
#region Ellipsoid Vektoren in DHDN
// Querkrümmunsradius
var N = Bessel_a / Math.Sqrt(1.0 - Bessel_e2 * Math.Pow(Math.Sin(g_B / 180 * Math.PI), 2));
// Ergebnis Vektoren
var Bessel_x = (N + Hoehe) * Math.Cos(g_B / 180 * Math.PI) * Math.Cos(g_L / 180 * Math.PI);
var Bessel_y = (N + Hoehe) * Math.Cos(g_B / 180 * Math.PI) * Math.Sin(g_L / 180 * Math.PI);
var Bessel_z = (N * (Bessel_b * Bessel_b) / (Bessel_a * Bessel_a) + Hoehe) * Math.Sin(g_B / 180 * Math.PI);
#endregion
#region Parameter HelmertTransformation
Double g_dx;
Double g_dy;
Double g_dz;
Double g_ex;
Double g_ey;
Double g_ez;
Double g_m;
// HelmertTransformation
switch (HelmerttransformationsArt)
{
// Deutschland von WGS84 nach DNDH/Potsdamm2001
default:
g_dx = 598.1; // Translation in X
g_dy = 73.7; // Translation in Y
g_dz = 418.2; // Translation in Z
g_ex = -0.202; // Drehwinkel in Bogensekunden un die x-Achse
g_ey = -0.045; // Drehwinkel in Bogensekunden un die y-Achse
g_ez = 2.455; // Drehwinkel in Bogensekunden un die z-Achse
g_m = 6.7; // Maßstabsfaktor in ppm
break;
// Österreich von WGS84 nach MGI Ferro
case HelmerttransformationsArt.OesterreichWGS84nachMGIFerro:
g_dx = 577.326; // Translation in X
g_dy = 90.129; // Translation in Y
g_dz = 463.919; // Translation in Z
g_ex = -5.137; // Drehwinkel in Bogensekunden un die x-Achse
g_ey = -1.474; // Drehwinkel in Bogensekunden un die y-Achse
g_ez = -5.297; // Drehwinkel in Bogensekunden un die z-Achse
g_m = 2.423; // Maßstabsfaktor in ppm
break;
}
#endregion
#region Helmert
// Umrechnung der Drehwinkel in Bogenmaß
var exRad = (g_ex * Math.PI / 180.0) / 3600.0;
var eyRad = (g_ey * Math.PI / 180.0) / 3600.0;
var ezRad = (g_ez * Math.PI / 180.0) / 3600.0;
// Maßstabsumrechnung
var mEXP = 1 - g_m * Math.Pow(10, -6);
// Drehmatrix
// 1 Ez -Ez
// -Ez 1 Ex
// Ey -Ex 1
// Rotierende Vektoren = Drehmatrix * Vektoren in WGS84
var RotVektor1 = 1.0 * Bessel_x + ezRad * Bessel_y + (-1.0 * eyRad * Bessel_z);
var RotVektor2 = (-1.0 * ezRad) * Bessel_x + 1 * Bessel_y + exRad * Bessel_z;
var RotVektor3 = (eyRad) * Bessel_x + (-1.0 * exRad) * Bessel_y + 1 * Bessel_z;
// Maßstab berücksichtigen
var RotVectorM1 = RotVektor1 * mEXP;
var RotVectorM2 = RotVektor2 * mEXP;
var RotVectorM3 = RotVektor3 * mEXP;
// Translation anbringen
// dxT = Drehmatrix * dx * m
var dxT = 1.0 * g_dx * mEXP + ezRad * g_dy * mEXP + (-1.0 * eyRad) * g_dz * mEXP;
var dyT = (-1.0 * ezRad) * g_dx * mEXP + 1.0 * g_dy * mEXP + exRad * g_dz * mEXP;
var dzT = (eyRad) * g_dx * mEXP + (-1.0 * exRad) * g_dy * mEXP + 1 * g_dz * mEXP;
// Vektoren jetzt in WGS84
var WGS84_x = RotVectorM1 + dxT;
var WGS84_y = RotVectorM2 + dyT;
var WGS84_z = RotVectorM3 + dzT;
#endregion
#region Vektorenumrechnung
var s = Math.Sqrt(WGS84_x * WGS84_x + WGS84_y * WGS84_y);
var T = Math.Atan(WGS84_z * WGS84_a / (s * WGS84_b));
var Bz = Math.Atan((WGS84_z + WGS84_e2 * (WGS84_a * WGS84_a) / WGS84_b * Math.Pow(Math.Sin(T), 3)) / (s - WGS84_e2 * WGS84_a * Math.Pow(Math.Cos(T), 3)));
var Lz = Math.Atan(WGS84_y / WGS84_x);
var N2 = WGS84_a / Math.Sqrt(1 - WGS84_e2 * Math.Pow(Math.Sin(Bz), 2));
#endregion
return(new GeoCoordinate(Latitude.Parse(Bz * 180 / Math.PI),
Longitude.Parse(Lz * 180 / Math.PI),
Altitude.Parse(s / Math.Cos(Bz))));
}