Maciej,

I am looking at equations 3.74 on page 25 (PDF page 31) of part one of 
the COSMO manual:
http://www.cosmo-model.org/content/model/documentation/core/cosmoDyncsNumcs.pdf

I note that (lambda_g^N, phi_g^N) is the North Pole of the rotated grid, 
so phi_g^N is not latitudeOfOrigin, which is measured from the equator.

According to the javadoc of MapProjection, points are adjusted for 
central_meridian but not latitude_of_origin:
https://github.com/geotools/geotools/blob/master/modules/library/referencing/src/main/java/org/geotools/referencing/operation/projection/MapProjection.java

Kind regards,
Ben.

On 18/03/16 15:31, Ben Caradoc-Davies wrote:
> Maciej,
>
> thank you for your contribution of the General Oblique Transform to
> GeoTools.
> https://github.com/geotools/geotools/blob/master/modules/library/referencing/src/main/java/org/geotools/referencing/operation/projection/GeneralOblique.java
> https://osgeo-org.atlassian.net/browse/GEOT-5190
>
> While attempting use the General Oblique transform, I have encountered a
> discrepancy between the latitude of the origin and the projected latitude.
>
> In the test script:
>
> https://github.com/geotools/geotools/blob/master/modules/library/referencing/src/test/resources/org/geotools/referencing/test-data/scripts/GeneralOblique.txt
>
> The test General Oblique coordinate system is specified with:
>
> PARAMETER["central_meridian", 19.3],
> PARAMETER["latitude_of_origin", 37.5]
>
> The following assertion is made:
>
> source pt = (0, 0)
> target pt = (19.300000,52.500000)
>
> This looks wrong to me because I expected the origin of the rotated
> coordinate system to have the latitude specified in the parameter
> latitude_of_origin, that is 37.5.
>
> If I specify my own General_Oblique CRS in GeoServer with
> PARAMETER["central_meridian", -106] and PARAMETER["latitude_of_origin",
> 54] and use the reprojection console to reproject (0, 0) to WGS84, I get
> the (lon, lat) = (-106.0, 36.0) which is incorrect. Likewise (-106.0,
> 54.0) projected to this same General Oblique CRTS is incorrectly
> projected to (0.0, 18.0) (should be (0,0)).
>
> In each case, it appears to me that the transformed latitude is 90
> degrees minus the expected latitude. This is consistent with the
> latitude being measured from the North Pole not the equator. As this is
> a common mathematical convention, I wonder if there is a problem with
> the implementation of the General Oblique transformation. Can you see
> anything wrong? Or do I misunderstand?
>
> If this is changed, we will need your help to generate and validate
> changes to the test script.
>
> Kind regards,
>

-- 
Ben Caradoc-Davies <b...@transient.nz>
Director
Transient Software Limited <http://transient.nz/>
New Zealand

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