General Oblique Transformation
Classification |
Cylindrical |
Available forms |
Forward and inverse, spherical and ellipsoidal |
Defined area |
Global |
Alias |
ob_tran |
Domain |
2D |
Input type |
Geodetic coordinates |
Output type |
Projected coordinates |
proj-string: +proj=ob_tran +o_proj=moll +o_lon_p=40 +o_lat_p=50 +lon_0=60
Usage
All of the projections of spherical library can be used as an
oblique projection by means of the General Oblique Transformation. The user
performs the oblique transformation by selecting the oblique projection
+proj=ob_tran, specifying the translation factors, +o_lat_p, and
+o_lon_p, and the projection to be used, +o_proj. In the
example of the Fairgrieve projection, the latitude and longitude of the North pole
of the unrotated geographic CRS, \(\alpha\) and \(\beta\) respectively,
expressed in the rotated geographic CRS, are to be placed
at 45°N and 90°W and the Mollweide projection is used. Because the central meridian
of the translated coordinates will follow the \(\beta\) meridian it is
necessary to translate the translated system so that the Greenwich meridian
will pass through the center of the projection by offsetting the central meridian.
The final control for this projection is:
+proj=ob_tran +o_proj=moll +o_lat_p=45 +o_lon_p=-90 +lon_0=-90
Parameters
Required
- +o_proj=<projection>
Oblique projection.
In addition to specifying an oblique projection, how to rotate the projection should be specified. This is done in one of three ways: Define a new pole, rotate the projection about a given point or define a new "equator" spanned by two points on the sphere. See the details below.
New pole
- +o_lat_p=<latitude>
Latitude of the North pole of the unrotated source CRS, expressed in the rotated geographic CRS.
- +o_lon_p=<longitude>
Longitude of the North pole of the unrotated source CRS, expressed in the rotated geographic CRS.
Rotate about point
- +o_alpha=<value>
Angle to rotate the projection with.
- +o_lon_c=<value>
Longitude of the point the projection will be rotated about.
- +o_lat_c=<value>
Latitude of the point the projection will be rotated about.
New "equator" points
- +o_lon_1=<value>
Longitude of first point.
- +o_lat_1=<value>
Latitude of first point.
- +o_lon_2=<value>
Longitude of second point.
- +o_lat_2=<value>
Latitude of second point.
Optional
- +lon_0=<value>
Central meridian/longitude of natural origin, longitude of origin or longitude of false origin (naming and meaning depend on the projection method).
Defaults to 0.0.
Note
The default convention is to interpret this value as decimal degrees. To specify radians instead, follow the value with the "r" character.
Example: +lon_0=1.570796r
See Projection Units for more information.
- +R=<value>
Radius of the sphere, given in meters. If used in conjunction with
+ellps,+Rtakes precedence.See Ellipsoid size parameters for more information.
- +x_0=<value>
False easting, easting at false origin or easting at projection centre (naming and meaning depend on the projection method). Always in meters.
Defaults to 0.0.
- +y_0=<value>
False northing, northing at false origin or northing at projection centre (naming and meaning depend on the projection method). Always in meters.
Defaults to 0.0.