transformator.bev.gv.at 

Philipp Mitterschiffthaler  

Franz Blauensteiner  

Martin Sehnal  

Jürgen Fredriksson  

CRD

VEL

?

Definition of Coordinates

14 Parameter Transformation

Definition of Coordinates

\lambda = atan(Y/X)
\phi=atan(\frac{Z+e'^2 b sin^3(\theta)}{p-e^2 a cos^3(\theta)})
h = \frac{p}{\cos{\phi}}-N

Definition of Coordinates

y = N \Delta L cos(B) + \frac{N}{6} \Delta L^3 cos^3(B)(1-t^2+\eta^2)+...
x = S_m \frac{N}{2} \Delta L^2 sin(B) cos(B) + \frac{N}{24} \Delta L^4 sin(B) cos^3(B)(5-t^2+9\eta^2+4\eta^4)+...
{
  "features": {
    "type": "FeatureCollection",
    "name": "MyCoordinates_1",
    "features": [
        {},
        {},
        {},
    ],
    "crs": {
        "type": "BEV",
        "name": "MyCRS",
        "properties": {
            "frame": 301,
            "ellipsoid": "EPSG::7004",
            "prime_meridian": "EPSG::8901",
            "projection": "",
            "height_system": "",
            "epoch": 2002.56,
        }
    }
}

Definition of Coordinates - GeoJSON in BEV Transformator

Transformation Parameters between Frames

Example Coordinate Transformation - GRAZ00AUT

Example Coordinate Transformation - GRAZ00AUT

MGI

Josefstadt

(Maßstab)

Hundsheimer Berg (Orientierung)

Hermannskogel (Lagerung)

MGI

Order Distance [km] #
1 35 138
2 18 427
3 11 ~ 1.550
4 4 ~ 8.600
5 1 ~ 46.100
6 0,3 ~ 167.000

147T / 224T (~65%) Points with ETRS coordinates

terrestrical measurements 1910-1997

Points

Directions

Distances

Zenith Distances

GPS Baselines 1989-2012

  • 50 000 Points
  • ~ 3 Baselines/Point

RTK Measurements 2003-2017

  • ~ 100.000 Points

Austrian Datum -  ETRS 0 order

ETRS 2000 (Epoche 2002.56)

  • Session GPS Week 1176 (21.7. - 27.7.02) -> 2002.56
  • Computed by OLG und TUW
  • accepted by EUREF TWG als official austrian solution
  • Datumpoints: GRAZ, WTZR, PENC, ZIMM

ETRS 1st Order

ETRS <-> MGI

X, Y, Z
\phi, \lambda, h
x, y, h
X, Y, Z
\phi, \lambda, h
x, y, h

ETRS

MGI

7-Parameter-Transformation

{
  dX: -577.326,
  dY: -90.129,
  dZ: -463.919,
  a(x): 5.137'',
  a(y): 1.474'',
  a(z): 5.297'', 
  dm: -0.0000024232
}

Accuracy < 1.5m

ETRS <-> MGI

X, Y, Z
\phi, \lambda, h
x, y, h
X, Y, Z
\phi, \lambda, h
x, y, h

ETRS

MGI

GIS Grid

Accuracy < 0.15m

ETRS <-> MGI

X, Y, Z
\phi, \lambda, h
x, y, h
X, Y, Z
\phi, \lambda, h
x, y, h

ETRS

MGI

Passpoints

Accuracy < 0.05m

Height

  • Datum: Molo Satorio (Triest) 1875
  • Transformation with Grid Products
  • More or less no more levelling campaigns in future
  • Focus on Geoid and Gravity

Height Transformation

All Grid Products are free available

and used at BEV Transformator

https://transformator.bev.gv.at/at.gv.bev.transformator/austrian

Height Transformation

What to do next

  • English Version
  • Transformation Handbook
  • Transform all Geometry Types
  • More file formats
  • Release 1.1 will launch in 07/2019

 

transformator.bev.gv.at 

Philipp Mitterschiffthaler  

Franz Blauensteiner  

Martin Sehnal  

Jürgen Fredriksson  

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