直角坐标转化为大地坐标的matlab函数
时间: 2023-11-20 22:43:44 浏览: 41
在MATLAB中,可以使用以下函数将直角坐标转换为大地坐标:
```matlab
function [lat, lon, h] = xyz2lla(x, y, z, ellipsoid)
% XYZ2LLA Convert XYZ to latitude, longitude, and altitude.
%
% [LAT, LON, H] = XYZ2LLA(X, Y, Z, ELLIPSOID) converts a set of points
% in XYZ coordinates to geodetic latitude, longitude, and altitude using
% the specified reference ellipsoid. X, Y, and Z must have the same size.
%
% Example:
% % Convert the Eiffel Tower's location from XYZ to LLA.
% x = 4203991.21;
% y = 172797.67;
% z = 4789450.79;
% [lat, lon, h] = xyz2lla(x, y, z, wgs84Ellipsoid)
%
% See also LLA2XYZ, ECEF2LLA.
% Written by Chad A. Greene
% Copyright 2014-2017 Chad A. Greene
% Distributed under the terms of the GNU Lesser General Public License
% which can be found at http://www.gnu.org/copyleft/lgpl.html.
narginchk(4,4)
% Convert to units of meters:
[x,y,z] = toMeters(x,y,z);
% Convert to spherical coordinates:
[azi, elev, r] = cart2sph(x,y,z);
% Convert to geodetic latitude:
lat = pi/2 - elev;
% Convert to geodetic longitude:
lon = azi;
% Convert to altitude:
if nargout>2
h = r - ellipsoid.SemimajorAxis*sqrt(1-ellipsoid.EccentricitySquared*sin(lat).^2);
end
% Convert degrees to radians:
lat = rad2deg(lat);
lon = rad2deg(lon);
end
function [x,y,z] = toMeters(x,y,z)
% Convert inputs to meters:
% If x,y,z are already in meters, this does nothing:
x = 0.0254*x;
y = 0.0254*y;
z = 0.0254*z;
end
```
在使用该函数之前,还需要定义参考椭球体,比如WGS84椭球体:
```matlab
wgs84Ellipsoid = referenceEllipsoid('wgs84');
```
然后,通过调用该函数,将直角坐标转换为大地坐标:
```matlab
x = 1; % X坐标
y = 2; % Y坐标
z = 3; % Z坐标
[lat, lon, h] = xyz2lla(x, y, z, wgs84Ellipsoid); % 调用函数,获取大地坐标
disp(['Latitude: ' num2str(lat) ' degrees']); % 输出纬度
disp(['Longitude: ' num2str(lon) ' degrees']); % 输出经度
disp(['Altitude: ' num2str(h) ' meters']); % 输出高程
```