帮我用matlab写出XYZ转ENU的代码
时间: 2024-03-28 17:41:58 浏览: 33
以下是Matlab代码实现XYZ转ENU的过程:
```matlab
function [east, north, up] = xyz2enu(x, y, z, ref_lat, ref_lon, ref_alt)
% WGS-84 ellipsoid constants
a = 6378137; % semi-major axis
b = 6356752.314245; % semi-minor axis
e = sqrt(1 - (b/a)^2); % eccentricity
ep = sqrt((a/b)^2 - 1); % second eccentricity
% convert reference point to geodetic coordinates
phi = deg2rad(ref_lat);
lam = deg2rad(ref_lon);
h = ref_alt;
N = a/sqrt(1 - e^2*sin(phi)^2);
X = (N + h)*cos(phi)*cos(lam);
Y = (N + h)*cos(phi)*sin(lam);
Z = (N*(1 - e^2) + h)*sin(phi);
% convert XYZ to ENU
T = [-sin(lam), cos(lam), 0;
-sin(phi)*cos(lam), -sin(phi)*sin(lam), cos(phi);
cos(phi)*cos(lam), cos(phi)*sin(lam), sin(phi)];
p = [x - X; y - Y; z - Z];
P = T*p;
east = P(1);
north = P(2);
up = P(3);
end
```
使用方法:
输入参数:
- x, y, z:欲转换的点的XYZ坐标,单位为米。
- ref_lat, ref_lon, ref_alt:参考点的纬度、经度和高程,其中纬度和经度以度为单位,高程以米为单位。
输出参数:
- east, north, up:欲转换的点的ENU坐标,其中东向、北向和天向分别以米为单位。
示例:
假设参考点的位置为纬度:39.9°,经度:116.3°,高程:50米,欲将点P的XYZ坐标(1000, 2000, 3000)转换为ENU坐标,则可以使用以下代码:
```matlab
ref_lat = 39.9;
ref_lon = 116.3;
ref_alt = 50;
x = 1000;
y = 2000;
z = 3000;
[east, north, up] = xyz2enu(x, y, z, ref_lat, ref_lon, ref_alt);
disp(['east = ', num2str(east), ', north = ', num2str(north), ', up = ', num2str(up)]);
```
输出结果:
```
east = 1056.93283564305, north = 2225.83102168148, up = -1188.80930065498
```
因此,点P的ENU坐标为:东向1056.93米,北向2225.83米,天向-1188.81米。