geodetic2enu
Transform geodetic coordinates to local east-north-up
Syntax
Description
[
transforms the geodetic coordinates specified by xEast
,yNorth
,zUp
]
= geodetic2enu(lat
,lon
,h
,lat0
,lon0
,h0
,spheroid
)lat
,
lon
, and h
to the local east-north-up
(ENU) Cartesian coordinates specified by xEast
,
yNorth
, and zUp
. Specify the origin of
the local ENU system with the geodetic coordinates lat0
,
lon0
, and h0
. Each coordinate input
argument must match the others in size or be scalar. Specify
spheroid
as the reference spheroid for the geodetic
coordinates.
Examples
Calculate ENU Coordinates from Geodetic Coordinates
Find the ENU coordinates of the Matterhorn with respect to Zermatt, Switzerland, using their geodetic coordinates.
First, specify the reference spheroid as WGS84. For more information about WGS84, see Comparison of Reference Spheroids. The units for ellipsoidal height and ENU coordinates must match the units specified by the LengthUnit
property of the reference spheroid. The default length unit for the reference spheroid created by wgs84Ellipsoid
is 'meter'
.
wgs84 = wgs84Ellipsoid;
Specify the geodetic coordinates of the local origin. In this example, the local origin is Zermatt, Switzerland. Specify h0
as ellipsoidal height in meters.
lat0 = 46.017; lon0 = 7.750; h0 = 1673;
Specify the geodetic coordinates of the point of interest. In this example, the point of interest is the Matterhorn. Specify h
as ellipsoidal height in meters.
lat = 45.976; lon = 7.658; h = 4531;
Then, calculate the ENU coordinates of the Matterhorn with respect to Zermatt. View the results in standard notation by specifying the display format as shortG
.
format shortG
[xEast,yNorth,zUp] = geodetic2enu(lat,lon,h,lat0,lon0,h0,wgs84)
xEast = -7134.8
yNorth = -4556.3
zUp = 2852.4
Reverse the transformation using the enu2geodetic
function.
[lat,lon,h] = enu2geodetic(xEast,yNorth,zUp,lat0,lon0,h0,wgs84)
lat = 45.976
lon = 7.658
h = 4531
Input Arguments
lat
— Geodetic latitude
scalar | vector | matrix | N-D array
Geodetic latitude of one or more points, specified as a scalar, vector, matrix, or N-D
array. Specify the values in degrees. To use values in radians, specify the
angleUnit
argument as 'radians'
.
Data Types: single
| double
lon
— Geodetic longitude
scalar | vector | matrix | N-D array
Geodetic longitude of one or more points, specified as a scalar, vector, matrix, or
N-D array. Specify the values in degrees. To use values in radians, specify the
angleUnit
argument as 'radians'
.
Data Types: single
| double
h
— Ellipsoidal height
scalar | vector | matrix | N-D array
Ellipsoidal height of one or more points, specified as a scalar, vector, matrix, or
N-D array. Specify values in units that match the LengthUnit
property
of the spheroid
object. For example, the default length unit for
the reference ellipsoid created by wgs84Ellipsoid
is 'meter'
.
For more information about ellipsoidal height, see Find Ellipsoidal Height from Orthometric Height.
Data Types: single
| double
lat0
— Geodetic latitude of local origin
scalar | vector | matrix | N-D array
Geodetic latitude of the local origin, specified as a scalar, vector, matrix, or N-D array.
The local origin can refer to one point or a series of points (for example, a moving
platform). Specify the values in degrees. To use values in radians, specify the
angleUnit
argument as 'radians'
.
Data Types: single
| double
lon0
— Geodetic longitude of local origin
scalar | vector | matrix | N-D array
Geodetic longitude of the local origin, specified as a scalar, vector, matrix, or N-D
array. The local origin can refer to one point or a series of points (for example, a
moving platform). Specify the values in degrees. To use values in radians, specify the
angleUnit
argument as 'radians'
.
Data Types: single
| double
h0
— Ellipsoidal height of local origin
scalar | vector | matrix | N-D array
Ellipsoidal height of the local origin, specified as a scalar, vector, matrix, or N-D array.
The local origin can refer to one point or a series of points (for example, a moving
platform). Specify values in units that match the LengthUnit
property
of the spheroid
object. For example, the default length unit for
the reference ellipsoid created by wgs84Ellipsoid
is 'meter'
.
For more information about ellipsoidal height, see Find Ellipsoidal Height from Orthometric Height.
Data Types: single
| double
spheroid
— Reference spheroid
referenceEllipsoid
object | oblateSpheroid
object | referenceSphere
object
Reference spheroid, specified as a referenceEllipsoid
object, oblateSpheroid
object, or referenceSphere
object. The term reference spheroid is used synonymously
with reference ellipsoid. To create a reference spheroid, use the creation function for
the object. To specify the reference ellipsoid for WGS84, use the wgs84Ellipsoid
function.
For more information about reference spheroids, see Comparison of Reference Spheroids.
Example: spheroid = referenceEllipsoid('GRS 80');
angleUnit
— Angle units
'degrees'
(default) | 'radians'
Angle units, specified as 'degrees'
(the default) or
'radians'
.
Output Arguments
xEast
— ENU x-coordinates
scalar | vector | matrix | N-D array
ENU x-coordinates of one or more points in the local ENU system,
returned as a scalar, vector, matrix, or N-D array. Units are specified by the
LengthUnit
property of the spheroid
argument. For example, the default length unit for the reference ellipsoid created by
wgs84Ellipsoid
is
'meter'
.
yNorth
— ENU y-coordinates
scalar | vector | matrix | N-D array
ENU y-coordinates of one or more points in the local ENU system,
returned as a scalar, vector, matrix, or N-D array. Units are specified by the
LengthUnit
property of the spheroid
argument. For example, the default length unit for the reference ellipsoid created by
wgs84Ellipsoid
is
'meter'
.
zUp
— ENU z-coordinates
scalar | vector | matrix | N-D array
ENU z-coordinates of one or more points in the local ENU system,
returned as a scalar, vector, matrix, or N-D array. Units are specified by the
LengthUnit
property of the spheroid
argument. For example, the default length unit for the reference ellipsoid created by
wgs84Ellipsoid
is
'meter'
.
Extended Capabilities
C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.
Version History
Introduced in R2012bR2021a: Generate C and C++ code using MATLAB Coder
The geodetic2enu
function supports code generation.
See Also
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