将坐标从 EPSG 3857 转换为 4326

Question

我的数据库中有一个 EPSG 3857 格式的坐标列表。我需要将它们转换为 EPSG 4326 我正在尝试使用 DotSpatial，但我的代码总是重新调整无限大的双数组。

public double[] ConvertCoodinates()
    {
        double[] xy = new double[2];
        xy[0] = 5085240.8300000000;
        xy[1] = 1530088.9600000000;
    //An array for the z coordinate
        double[] z = new double[1];
        z[0] = 0;
        ProjectionInfo pStart = KnownCoordinateSystems.Geographic.World.WGS1984;
        pStart.AuthorityCode = 3857;
        ProjectionInfo pEnd = KnownCoordinateSystems.Geographic.World.WGS1984;
        pEnd.AuthorityCode = 4326;
        Reproject.ReprojectPoints(xy, z, pStart, pEnd, 0, 1);
        return xy;
    }

xy数组总是包含无穷大；有人可以帮助我吗？

Answer 1

最后我找到了一个数学公式来转换坐标。

我在一个存储过程中实现它，因为我有一个点列表，这个存储过程计算距离。

DECLARE @e FLOAT=2.7182818284
DECLARE @X DECIMAL(18,2) =20037508.34

SET @StartLat3857 =(SELECT TOP 1 Latitude FROM Coordinates WHERE IdCoord=@IdCoord ORDER By IdTDFPath ASC)
SET @StartLng3857=(SELECT TOP 1 Longitude FROM Coordinates WHERE IdCoord=@IdCoord ORDER By IdTDFPath ASC)

--converting the logitute from epsg 3857 to 4326
            SET @StartLng=(@StartLng3857*180)/@X

--converting the latitude from epsg 3857 to 4326
            SET @StartLat = @StartLat3857/(@X/180)
            SET @StartLat = ((ATAN(POWER(@e,((PI()/180)*@StartLat))))/(PI()/360))-90

最后只是一个可以在所有语言中使用的数学公式。例如是 Javascript 它将是

const e = 2.7182818284
const X = 20037508.34

const lat3857 = 1743704.947843 
const long3857 = 16978473.105100

//converting the logitute from epsg 3857 to 4326
const long4326 = (lat3857*180)/X

//converting the latitude from epsg 3857 to 4326 split in multiple lines for readability

let lat4326 = lat3857/(X / 180)
const exponent = (Math.PI / 180) * lat4326

lat4326 = Math.atan(e ** exponent)
lat4326 = lat4326 / (Math.PI / 360)
lat4326 = lat4326 - 90

Answer 2

将EPSG 3857坐标投影到EPSG 4326坐标系有点棘手。 Microsoft 建议使用 ProjNet4GeoAPI，所以我决定使用它。

https://docs.microsoft.com/en-us/ef/core/modeling/spatial#srid-ignored-during-client-operations

我已经验证它在这里有效：

http://epsg.io/transform#s_srs=3857&t_srs=4326&x=1530088.9600000&y=5085240.8300000

转换示例：

var x = 1530088.96d;
var y = 5085240.83d;

var epsg3857ProjectedCoordinateSystem = ProjNet.CoordinateSystems.ProjectedCoordinateSystem.WebMercator;
var epsg4326GeographicCoordinateSystem = ProjNet.CoordinateSystems.GeographicCoordinateSystem.WGS84;

var coordinateTransformationFactory = new ProjNet.CoordinateSystems.Transformations.CoordinateTransformationFactory();
var coordinateTransformation = coordinateTransformationFactory.CreateFromCoordinateSystems(epsg3857ProjectedCoordinateSystem, epsg4326GeographicCoordinateSystem);

var epsg3857Coordinate = new GeoAPI.Geometries.Coordinate(x, y);

var epsg4326Coordinate = coordinateTransformation.MathTransform.Transform(epsg3857Coordinate);

Answer 3

所选答案的Javascript版本似乎有误... 它总是给我比实际答案大 2 倍的答案，所以我最终跳水 360 而不是 180（但我承认这里的数学超出了我的专业领域）。

这是工作代码：

  coord3857To4326(coord) {
    
    const e_value = 2.7182818284;
    const X = 20037508.34;
    
    const lat3857 = coord.lat
    const long3857 = coord.lng;
    
    //converting the longitute from epsg 3857 to 4326
    const long4326 = (long3857*180)/X;
    
    //converting the latitude from epsg 3857 to 4326 split in multiple lines for readability        
    let lat4326 = lat3857/(X / 180);
    const exponent = (Math.PI / 180) * lat4326;
    
    lat4326 = Math.atan(Math.pow(e_value, exponent));
    lat4326 = lat4326 / (Math.PI / 360); // Here is the fixed line
    lat4326 = lat4326 - 90;

    return {lat:lat4326, lng:long4326};
    
}

我也成功反推了:

  coord4326To3857(coord) {

    const X = 20037508.34;

    let long3857 = (coord.lng * X) / 180;

    let lat3857 = parseFloat(coord.lat) + 90;
    lat3857 = lat3857 * (Math.PI/360);
    lat3857 = Math.tan(lat3857);
    lat3857 = Math.log(lat3857);
    lat3857 = lat3857 / (Math.PI / 180);
    
    lat3857 = (lat3857 * X) / 180;

    return {lat:lat3857, lng:long3857};
}

希望这对其他人有帮助！

将坐标从 EPSG 3857 转换为 4326

Converting coordinates from EPSG 3857 to 4326

javascript

c#

coordinates

epsg