Derivation of gravity-related heights from GNSS observations.
This concatenated operation gives the same result as the HoehenGrid-plus offset from ETRS89 to GHA height. HoehenGrid-plus is implemented in BEV-Transformator using MGI (CRS 4312) as the interpolation CRS for the grid
(0,)
Definition: OGC Well Known Text 2 (2019)
CONCATENATEDOPERATION["ETRS89 to GHA height (2)", VERSION["BEV-Aut"], SOURCECRS[ GEOGCRS["ETRS89", ENSEMBLE["European Terrestrial Reference System 1989 ensemble", MEMBER["European Terrestrial Reference Frame 1989"], MEMBER["European Terrestrial Reference Frame 1990"], MEMBER["European Terrestrial Reference Frame 1991"], MEMBER["European Terrestrial Reference Frame 1992"], MEMBER["European Terrestrial Reference Frame 1993"], MEMBER["European Terrestrial Reference Frame 1994"], MEMBER["European Terrestrial Reference Frame 1996"], MEMBER["European Terrestrial Reference Frame 1997"], MEMBER["European Terrestrial Reference Frame 2000"], MEMBER["European Terrestrial Reference Frame 2005"], MEMBER["European Terrestrial Reference Frame 2014"], ELLIPSOID["GRS 1980",6378137,298.257222101, LENGTHUNIT["metre",1]], ENSEMBLEACCURACY[0.1]], PRIMEM["Greenwich",0, ANGLEUNIT["degree",0.0174532925199433]], CS[ellipsoidal,3], AXIS["geodetic latitude (Lat)",north, ORDER[1], ANGLEUNIT["degree",0.0174532925199433]], AXIS["geodetic longitude (Lon)",east, ORDER[2], ANGLEUNIT["degree",0.0174532925199433]], AXIS["ellipsoidal height (h)",up, ORDER[3], LENGTHUNIT["metre",1]], ID["EPSG",4937]]], TARGETCRS[ VERTCRS["GHA height", VDATUM["Gebrauchshohen ADRIA"], CS[vertical,1], AXIS["gravity-related height (H)",up, LENGTHUNIT["metre",1]], ID["EPSG",5778]]], STEP[ COORDINATEOPERATION["ETRS89 to EVRF2000 Austria height (1)", VERSION["BEV-Aut"], SOURCECRS[ GEOGCRS["ETRS89", ENSEMBLE["European Terrestrial Reference System 1989 ensemble", MEMBER["European Terrestrial Reference Frame 1989"], MEMBER["European Terrestrial Reference Frame 1990"], MEMBER["European Terrestrial Reference Frame 1991"], MEMBER["European Terrestrial Reference Frame 1992"], MEMBER["European Terrestrial Reference Frame 1993"], MEMBER["European Terrestrial Reference Frame 1994"], MEMBER["European Terrestrial Reference Frame 1996"], MEMBER["European Terrestrial Reference Frame 1997"], MEMBER["European Terrestrial Reference Frame 2000"], MEMBER["European Terrestrial Reference Frame 2005"], MEMBER["European Terrestrial Reference Frame 2014"], ELLIPSOID["GRS 1980",6378137,298.257222101, LENGTHUNIT["metre",1]], ENSEMBLEACCURACY[0.1]], PRIMEM["Greenwich",0, ANGLEUNIT["degree",0.0174532925199433]], CS[ellipsoidal,3], AXIS["geodetic latitude (Lat)",north, ORDER[1], ANGLEUNIT["degree",0.0174532925199433]], AXIS["geodetic longitude (Lon)",east, ORDER[2], ANGLEUNIT["degree",0.0174532925199433]], AXIS["ellipsoidal height (h)",up, ORDER[3], LENGTHUNIT["metre",1]], ID["EPSG",4937]]], TARGETCRS[ VERTCRS["EVRF2000 Austria height", VDATUM["European Vertical Reference Frame 2000 Austria"], CS[vertical,1], AXIS["gravity-related height (H)",up, LENGTHUNIT["metre",1]], ID["EPSG",9274]]], METHOD["Geographic3D to GravityRelatedHeight (BEV AT)", ID["EPSG",1081]], PARAMETERFILE["Geoid (height correction) model file","GEOID_GRS80_Oesterreich.csv"], INTERPOLATIONCRS[ GEOGCRS["ETRS89", ENSEMBLE["European Terrestrial Reference System 1989 ensemble", MEMBER["European Terrestrial Reference Frame 1989"], MEMBER["European Terrestrial Reference Frame 1990"], MEMBER["European Terrestrial Reference Frame 1991"], MEMBER["European Terrestrial Reference Frame 1992"], MEMBER["European Terrestrial Reference Frame 1993"], MEMBER["European Terrestrial Reference Frame 1994"], MEMBER["European Terrestrial Reference Frame 1996"], MEMBER["European Terrestrial Reference Frame 1997"], MEMBER["European Terrestrial Reference Frame 2000"], MEMBER["European Terrestrial Reference Frame 2005"], MEMBER["European Terrestrial Reference Frame 2014"], ELLIPSOID["GRS 1980",6378137,298.257222101, LENGTHUNIT["metre",1]], ENSEMBLEACCURACY[0.1]], PRIMEM["Greenwich",0, ANGLEUNIT["degree",0.0174532925199433]], CS[ellipsoidal,2], AXIS["geodetic latitude (Lat)",north, ORDER[1], ANGLEUNIT["degree",0.0174532925199433]], AXIS["geodetic longitude (Lon)",east, ORDER[2], ANGLEUNIT["degree",0.0174532925199433]]]], OPERATIONACCURACY[0.05], ID["EPSG",9276], REMARK["Austrian Geoid 2008. Accuracy 5cm (1 sigma). The transformation is implemented in BEV-Transformator. For reversible alternative to this transformation see ETRS89 to ETRS89 + EVRF2000 Austria height (1) (code 9600)."]]], STEP[ COORDINATEOPERATION["Inverse of GHA height to EVRF2000 Austria height (1)", SOURCECRS[ VERTCRS["EVRF2000 Austria height", VDATUM["European Vertical Reference Frame 2000 Austria"], CS[vertical,1], AXIS["gravity-related height (H)",up, LENGTHUNIT["metre",1]], ID["EPSG",9274]]], TARGETCRS[ VERTCRS["GHA height", VDATUM["Gebrauchshohen ADRIA"], CS[vertical,1], AXIS["gravity-related height (H)",up, LENGTHUNIT["metre",1]], ID["EPSG",5778]]], METHOD["Inverse of Vertical Offset by Grid Interpolation (BEV AT)", ID["INVERSE(EPSG)",1080]], PARAMETERFILE["Vertical offset file","GV_HoehenGrid_V1.csv"], INTERPOLATIONCRS[ GEOGCRS["MGI", DATUM["Militar-Geographische Institut", ELLIPSOID["Bessel 1841",6377397.155,299.1528128, LENGTHUNIT["metre",1]]], PRIMEM["Greenwich",0, ANGLEUNIT["degree",0.0174532925199433]], CS[ellipsoidal,2], AXIS["geodetic latitude (Lat)",north, ORDER[1], ANGLEUNIT["degree",0.0174532925199433]], AXIS["geodetic longitude (Lon)",east, ORDER[2], ANGLEUNIT["degree",0.0174532925199433]]]], OPERATIONACCURACY[0.05], ID["INVERSE(EPSG)",9275], REMARK["Care! Austrian literature describes this transformation in direction EVRF2000 Austria height to GHA height with offset subtracted. EPSG method has offset as an addition. See method formula and example. The grid is implemented in BEV-Transformator."]]], OPERATIONACCURACY[0.07], USAGE[ SCOPE["Derivation of gravity-related heights from GNSS observations."], AREA["Austria."], BBOX[46.4,9.53,49.02,17.17]], ID["EPSG",9499], REMARK["This concatenated operation gives the same result as the HoehenGrid-plus offset from ETRS89 to GHA height. HoehenGrid-plus is implemented in BEV-Transformator using MGI (CRS 4312) as the interpolation CRS for the grid"]]
Definition: PROJ.4
+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +inv +proj=vgridshift +grids=at_bev_GEOID_GRS80_Oesterreich.tif +multiplier=1 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1 +step +inv +proj=vgridshift +grids=at_bev_GV_Hoehengrid_V1.tif +multiplier=1
Definition: JavaScript (Proj4js)
proj4.defs("EPSG:9499","+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +inv +proj=vgridshift +grids=at_bev_GEOID_GRS80_Oesterreich.tif +multiplier=1 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1 +step +inv +proj=vgridshift +grids=at_bev_GV_Hoehengrid_V1.tif +multiplier=1");
Definition: JSON
{ "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json", "type": "ConcatenatedOperation", "name": "ETRS89 to GHA height (2)", "source_crs": { "type": "GeographicCRS", "name": "ETRS89", "datum_ensemble": { "name": "European Terrestrial Reference System 1989 ensemble", "members": [ { "name": "European Terrestrial Reference Frame 1989", "id": { "authority": "EPSG", "code": 1178 } }, { "name": "European Terrestrial Reference Frame 1990", "id": { "authority": "EPSG", "code": 1179 } }, { "name": "European Terrestrial Reference Frame 1991", "id": { "authority": "EPSG", "code": 1180 } }, { "name": "European Terrestrial Reference Frame 1992", "id": { "authority": "EPSG", "code": 1181 } }, { "name": "European Terrestrial Reference Frame 1993", "id": { "authority": "EPSG", "code": 1182 } }, { "name": "European Terrestrial Reference Frame 1994", "id": { "authority": "EPSG", "code": 1183 } }, { "name": "European Terrestrial Reference Frame 1996", "id": { "authority": "EPSG", "code": 1184 } }, { "name": "European Terrestrial Reference Frame 1997", "id": { "authority": "EPSG", "code": 1185 } }, { "name": "European Terrestrial Reference Frame 2000", "id": { "authority": "EPSG", "code": 1186 } }, { "name": "European Terrestrial Reference Frame 2005", "id": { "authority": "EPSG", "code": 1204 } }, { "name": "European Terrestrial Reference Frame 2014", "id": { "authority": "EPSG", "code": 1206 } } ], "ellipsoid": { "name": "GRS 1980", "semi_major_axis": 6378137, "inverse_flattening": 298.257222101 }, "accuracy": "0.1", "id": { "authority": "EPSG", "code": 6258 } }, "coordinate_system": { "subtype": "ellipsoidal", "axis": [ { "name": "Geodetic latitude", "abbreviation": "Lat", "direction": "north", "unit": "degree" }, { "name": "Geodetic longitude", "abbreviation": "Lon", "direction": "east", "unit": "degree" }, { "name": "Ellipsoidal height", "abbreviation": "h", "direction": "up", "unit": "metre" } ] }, "id": { "authority": "EPSG", "code": 4937 } }, "target_crs": { "type": "VerticalCRS", "name": "GHA height", "datum": { "type": "VerticalReferenceFrame", "name": "Gebrauchshohen ADRIA" }, "coordinate_system": { "subtype": "vertical", "axis": [ { "name": "Gravity-related height", "abbreviation": "H", "direction": "up", "unit": "metre" } ] }, "id": { "authority": "EPSG", "code": 5778 } }, "steps": [ { "type": "Transformation", "name": "ETRS89 to EVRF2000 Austria height (1)", "source_crs": { "type": "GeographicCRS", "name": "ETRS89", "datum_ensemble": { "name": "European Terrestrial Reference System 1989 ensemble", "members": [ { "name": "European Terrestrial Reference Frame 1989", "id": { "authority": "EPSG", "code": 1178 } }, { "name": "European Terrestrial Reference Frame 1990", "id": { "authority": "EPSG", "code": 1179 } }, { "name": "European Terrestrial Reference Frame 1991", "id": { "authority": "EPSG", "code": 1180 } }, { "name": "European Terrestrial Reference Frame 1992", "id": { "authority": "EPSG", "code": 1181 } }, { "name": "European Terrestrial Reference Frame 1993", "id": { "authority": "EPSG", "code": 1182 } }, { "name": "European Terrestrial Reference Frame 1994", "id": { "authority": "EPSG", "code": 1183 } }, { "name": "European Terrestrial Reference Frame 1996", "id": { "authority": "EPSG", "code": 1184 } }, { "name": "European Terrestrial Reference Frame 1997", "id": { "authority": "EPSG", "code": 1185 } }, { "name": "European Terrestrial Reference Frame 2000", "id": { "authority": "EPSG", "code": 1186 } }, { "name": "European Terrestrial Reference Frame 2005", "id": { "authority": "EPSG", "code": 1204 } }, { "name": "European Terrestrial Reference Frame 2014", "id": { "authority": "EPSG", "code": 1206 } } ], "ellipsoid": { "name": "GRS 1980", "semi_major_axis": 6378137, "inverse_flattening": 298.257222101 }, "accuracy": "0.1", "id": { "authority": "EPSG", "code": 6258 } }, "coordinate_system": { "subtype": "ellipsoidal", "axis": [ { "name": "Geodetic latitude", "abbreviation": "Lat", "direction": "north", "unit": "degree" }, { "name": "Geodetic longitude", "abbreviation": "Lon", "direction": "east", "unit": "degree" }, { "name": "Ellipsoidal height", "abbreviation": "h", "direction": "up", "unit": "metre" } ] }, "id": { "authority": "EPSG", "code": 4937 } }, "target_crs": { "type": "VerticalCRS", "name": "EVRF2000 Austria height", "datum": { "type": "VerticalReferenceFrame", "name": "European Vertical Reference Frame 2000 Austria" }, "coordinate_system": { "subtype": "vertical", "axis": [ { "name": "Gravity-related height", "abbreviation": "H", "direction": "up", "unit": "metre" } ] }, "id": { "authority": "EPSG", "code": 9274 } }, "interpolation_crs": { "type": "GeographicCRS", "name": "ETRS89", "datum_ensemble": { "name": "European Terrestrial Reference System 1989 ensemble", "members": [ { "name": "European Terrestrial Reference Frame 1989", "id": { "authority": "EPSG", "code": 1178 } }, { "name": "European Terrestrial Reference Frame 1990", "id": { "authority": "EPSG", "code": 1179 } }, { "name": "European Terrestrial Reference Frame 1991", "id": { "authority": "EPSG", "code": 1180 } }, { "name": "European Terrestrial Reference Frame 1992", "id": { "authority": "EPSG", "code": 1181 } }, { "name": "European Terrestrial Reference Frame 1993", "id": { "authority": "EPSG", "code": 1182 } }, { "name": "European Terrestrial Reference Frame 1994", "id": { "authority": "EPSG", "code": 1183 } }, { "name": "European Terrestrial Reference Frame 1996", "id": { "authority": "EPSG", "code": 1184 } }, { "name": "European Terrestrial Reference Frame 1997", "id": { "authority": "EPSG", "code": 1185 } }, { "name": "European Terrestrial Reference Frame 2000", "id": { "authority": "EPSG", "code": 1186 } }, { "name": "European Terrestrial Reference Frame 2005", "id": { "authority": "EPSG", "code": 1204 } }, { "name": "European Terrestrial Reference Frame 2014", "id": { "authority": "EPSG", "code": 1206 } } ], "ellipsoid": { "name": "GRS 1980", "semi_major_axis": 6378137, "inverse_flattening": 298.257222101 }, "accuracy": "0.1", "id": { "authority": "EPSG", "code": 6258 } }, "coordinate_system": { "subtype": "ellipsoidal", "axis": [ { "name": "Geodetic latitude", "abbreviation": "Lat", "direction": "north", "unit": "degree" }, { "name": "Geodetic longitude", "abbreviation": "Lon", "direction": "east", "unit": "degree" } ] }, "id": { "authority": "EPSG", "code": 4258 } }, "method": { "name": "Geographic3D to GravityRelatedHeight (BEV AT)", "id": { "authority": "EPSG", "code": 1081 } }, "parameters": [ { "name": "Geoid (height correction) model file", "value": "GEOID_GRS80_Oesterreich.csv", "id": { "authority": "EPSG", "code": 8666 } } ], "accuracy": "0.05", "id": { "authority": "EPSG", "code": 9276 }, "remarks": "Austrian Geoid 2008. Accuracy 5cm (1 sigma). The transformation is implemented in BEV-Transformator. For reversible alternative to this transformation see ETRS89 to ETRS89 + EVRF2000 Austria height (1) (code 9600)." }, { "type": "Transformation", "name": "Inverse of GHA height to EVRF2000 Austria height (1)", "source_crs": { "type": "VerticalCRS", "name": "EVRF2000 Austria height", "datum": { "type": "VerticalReferenceFrame", "name": "European Vertical Reference Frame 2000 Austria" }, "coordinate_system": { "subtype": "vertical", "axis": [ { "name": "Gravity-related height", "abbreviation": "H", "direction": "up", "unit": "metre" } ] }, "id": { "authority": "EPSG", "code": 9274 } }, "target_crs": { "type": "VerticalCRS", "name": "GHA height", "datum": { "type": "VerticalReferenceFrame", "name": "Gebrauchshohen ADRIA" }, "coordinate_system": { "subtype": "vertical", "axis": [ { "name": "Gravity-related height", "abbreviation": "H", "direction": "up", "unit": "metre" } ] }, "id": { "authority": "EPSG", "code": 5778 } }, "interpolation_crs": { "type": "GeographicCRS", "name": "MGI", "datum": { "type": "GeodeticReferenceFrame", "name": "Militar-Geographische Institut", "ellipsoid": { "name": "Bessel 1841", "semi_major_axis": 6377397.155, "inverse_flattening": 299.1528128 } }, "coordinate_system": { "subtype": "ellipsoidal", "axis": [ { "name": "Geodetic latitude", "abbreviation": "Lat", "direction": "north", "unit": "degree" }, { "name": "Geodetic longitude", "abbreviation": "Lon", "direction": "east", "unit": "degree" } ] }, "id": { "authority": "EPSG", "code": 4312 } }, "method": { "name": "Inverse of Vertical Offset by Grid Interpolation (BEV AT)", "id": { "authority": "INVERSE(EPSG)", "code": 1080 } }, "parameters": [ { "name": "Vertical offset file", "value": "GV_HoehenGrid_V1.csv", "id": { "authority": "EPSG", "code": 8732 } } ], "accuracy": "0.05", "id": { "authority": "INVERSE(EPSG)", "code": 9275 }, "remarks": "Care! Austrian literature describes this transformation in direction EVRF2000 Austria height to GHA height with offset subtracted. EPSG method has offset as an addition. See method formula and example. The grid is implemented in BEV-Transformator." } ], "accuracy": "0.07", "scope": "Derivation of gravity-related heights from GNSS observations.", "area": "Austria.", "bbox": { "south_latitude": 46.4, "west_longitude": 9.53, "north_latitude": 49.02, "east_longitude": 17.17 }, "id": { "authority": "EPSG", "code": 9499 }, "remarks": "This concatenated operation gives the same result as the HoehenGrid-plus offset from ETRS89 to GHA height. HoehenGrid-plus is implemented in BEV-Transformator using MGI (CRS 4312) as the interpolation CRS for the grid" }
Definition: MapServer - MAPfile
PROJECTION "proj=pipeline" "step" "proj=axisswap" "order=2,1" "step" "proj=unitconvert" "xy_in=deg" "xy_out=rad" "step" "inv" "proj=vgridshift" "grids=at_bev_GEOID_GRS80_Oesterreich.tif" "multiplier=1" "step" "proj=unitconvert" "xy_in=rad" "xy_out=deg" "step" "proj=axisswap" "order=2,1" "step" "inv" "proj=vgridshift" "grids=at_bev_GV_Hoehengrid_V1.tif" "multiplier=1" END
Definition: Mapnik
<?xml version="1.0" encoding="utf-8"?> <Map srs="+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +inv +proj=vgridshift +grids=at_bev_GEOID_GRS80_Oesterreich.tif +multiplier=1 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1 +step +inv +proj=vgridshift +grids=at_bev_GV_Hoehengrid_V1.tif +multiplier=1"> <Layer srs="+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +inv +proj=vgridshift +grids=at_bev_GEOID_GRS80_Oesterreich.tif +multiplier=1 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1 +step +inv +proj=vgridshift +grids=at_bev_GV_Hoehengrid_V1.tif +multiplier=1"> </Layer> </Map>
Definition: SQL (PostGIS)
INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 9499, 'EPSG', 9499, '+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +inv +proj=vgridshift +grids=at_bev_GEOID_GRS80_Oesterreich.tif +multiplier=1 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1 +step +inv +proj=vgridshift +grids=at_bev_GV_Hoehengrid_V1.tif +multiplier=1', 'None');