eurogrid workshop oct.27-29, 2003, jrc, ispra. the european datum etrs89 and related map projections...
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EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
The European Datum ETRS89 and Related Map Projections
Johannes Ihde
Federal Agency for Cartography and Geodesy
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Contents
1. The European Spatial Reference and Map Projection Workshops
2. Realization of ETRS89 and its Practical Use
3. Coordinate Systems and Map Projections
4. CRS Internet Portal
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
The Spatial Reference Workshop 1999 and the Map Projection Workshop 2000 recommends to the European Commission:
1. To adopt ETRS89 as geodetic datum and to express and store positions, as far as possible, in ellipsoidal coordinates, with the underlying GRS80 ellipsoid [ETRS89]. Three map projections are required to supplement the ellipsoidal system. (Adopted for geo data of the Commission)
1. The European Spatial Reference and Map Projection Workshops
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
2. To adopt EVRF2000 for expressing practical heights (gravity-related).
3. To take strong action to support the work of EUREF, EuroGeographics and the NMAs in collecting and making available in a public domain the definitions of various coordinate reference systems (realized by CRS internet portal), and definitive transformation parameters between the national reference systems and ETRS89 (realized for 3 m accuracy level), as well as EVRF2000 (in preparation).
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
ISO 19111 (ISO/TC 211, WI 11) Spatial referencing by coordinates
DIS November 2000, IS 2003ScopeWI 11 describes the conceptual schema and defines the description for a minimum data to two cases for which 1-, 2- and 3-dimensional coordinate reference system (CRS) information shall be given:
• Case A: A coordinate reference system to which a set of coordinates is related.
• Case B: An operation (transformation, conversion, concatenated operation) to change coordinate values from one coordinate reference system to another.
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Coordinate reference system (CRS) is a coordinate system which is related to the Earth by a datum
datumcoordinate system
map projection
geodetic vertical engineering
coordinate reference systemterrestrial reference system
grid
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Components of a European spatial reference system
(CRS)E uropean geore fe renc ing by coordina tes
geodetic datumETRS89
coordinate systemellipsoidal/projected UTM
European Terrestrial Reference System(ETRS)
vertical datumNAP
gravity-related heightsgeopotential num bers
norm al heights
European Vertical Reference System(EVRS)
European Spatial Reference System(com pound coordinate reference system )
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
2. Realization of ETRS89 and its Practical UseStatement:
ETRS89 is recognised by the scientific community as the European geodetic datum to be adopted. It is defined to 1cm accuracy, and it is consistent with the global ITRS.
ETRS89 is available due to the EUREF permanent GPS station network EPN and the validated EUREF campaign observations.
It is part of the legal framework of some EU member states.
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Terrestrial Reference System (TRS)
A TRS is mathematically defined as an Euclidian affine frame with an origin, scale and orientation in relation to the Earth body
A TRS is realized by coordinates of physical points an or near the Earth surface
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
The International Terrestrial Reference System (ITRS)
• The geodetic datum (origin, orientation, scale) of ITRS is defined by conventions (2002) of the International Earth Rotation Service (IERS of IAG)
• ITRS is realized by a series of frames (ITRF last one is 2000) with coordinates and velocities of some hundred world wide geodetic stations (Service of IAG)
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
The European Terrestrial Reference System 1989 (ETRS89)
•The European Continental Plate is moving quite uniformly of some 3 cm per year, relatively to the ITRS. Excepted is of the south-eastern extreme of Europe (Greece, Turkey).
•The IAG Sub-commission for Europe EUREF decided to define a System fixed to the European plate in order to have stable co-ordinates for Europe.
•This System (datum) is named ETRS, or ETRS89, as was identical to the ITRS in the year 1989.
•Since 1989, ETRS89 co-ordinates have shifted from their values expressed in ITRS. The shifts are monitored by IERS and EUREF.
•This shift is well known, and transformations from one to the other are possible for most part in a 1 cm accuracy. The shift parameter are given with the ITRF solutions.
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
European Terrestrial Reference System 1989 (ETRS89)
is the geodetic datum for pan-European spatial data collection, storage and analysis.
This is based on the GRS80 ellipsoid and is the basis for a coordinate reference system using ellipsoidal coordinates.
The ETRS89 Ellipsoidal Coordinate Reference System (ETRS89) is recommended to express and to store positions, as far as possible.
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
ETRS89 Ellipsoidal Coordinate Reference System (ETRS89) Description
Entitiy Value
CRS ID ETRS89
CRS valid areaEurope
Datum scope European datum consistent with ITRS at the epoch 1989.0 and fixed to the stable part of the Eurasian continental plate for georeferencing of GIS and geokinematic tasks
Datum remarks see Boucher, C., Altamimi, Z. (1992): The EUREF Terrestrial Reference System and its First Realizations. Veröffentlichungen der Bayerischen Kommission für die Internationale Erdmessung, Heft 52, München 1992, pages 205-213- or -ftp://lareg.ensg.ign.fr/pub/euref/info/guidelines/
Prime meridian ID Greenwich
Prime meridian Greenwich longitude 0°
Ellipsoid ID GRS 80
Ellipsoid semi-major axis 6 378 137 m
Ellipsoid inverse flattening 298.257222101
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
No. stations:130 total
42 IGS
EUREF GPS Permanent Network EPN
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
EUREF GPS Permanent Network (EPN)- Organization -
EUREF GPS Permanent Network (EPN)- Organization -
EPN Coordination Group
• Network Coordinator
C. Bruyninx, ROB
• Analysis Coordinator
H. Habrich, BKG
• Dataflow Coordinator
G. Stangl, OLG
• Technical Working Group representative
W. Gurtner, AIUB
• Special projects representatives
EPN Central Bureau EPN Special Projects
Tasks:
• Day-to-day general management of the EPN
• Realization of a policy as prescribed by the Technical Working Group
• Provide all EPN related information
Head: C. Bruyninx, ROB
• Time series for geokinematic
Head: A. Kenyeres, FOMI
• Troposphere parameter estimation
Head: G. Weber, BKG
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
EPN Analysis and Data Centers
Local Analysis Center Regional Data Center Local Data Center
NGK
BEK
BKG
WUT
GOP
SGO
LPT
OLG
UPA
ASI
COE
IGE
IGN
ROB
DEO
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
3. Coordinate Systems and Map Projections
A coordinate system is a set of mathematical rules for specifying how coordinates are to be related to points.
Map projections are special coordinate systems. The rules defining the map projections are conversions between ellipsoidal coordinates and coordinates of the map projections.
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
The Map Projection Workshop 2000 recommends that the European Commission:
• Uses for statistical analysis and display a ETRS89 Lambert Azimuthal Equal Area coordinate reference system of 2001 [ETRS -LAEA], that is specified by ETRS89 as datum and the Lambert Azimuthal Equal Area map projection.
• Uses for conformal pan-European mapping at scales smaller or equal to 1:500,000 ETRS89 Lambert Conic Conformal coordinate reference system of 2001 [ETRS -LCC] that is specified by ETRS89 as datum and the Lambert Conic Conformal (2SP) map projection.
• Uses for conformal pan-European mapping at scales larger than 1:500,000 ETRS89 Transverse Mercator coordinate reference systems [ETRS-TMzn].
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
For pan-European statistical mapping at all scales or for other purposes where a true area representation is required, the ETRS89 Lambert Azimuthal Equal Area Coordinate Reference System (ETRS-LAEA) is recommended.
The ETRS89 Lambert Azimuthal Equal Area Coordinate Reference System (ETRS-LAEA) is a single projected coordinate reference system for all of the pan-European area. It is based on the ETRS89 geodetic datum and the GRS80 ellipsoid.
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Operation method parameters number 4
Operation parameter name latitude of origin
Operation parameter value 52° N
Operation parameter name longitude of origin
Operation parameter value 10° E
Operation parameter name false northing
Operation parameter value 3 210 000.0 m
Operation parameter remarks
Operation parameter name false easting
Operation parameter value 4 321 000.0 m
Operation parameter remarks
ETRS89 Lambert Azimuthal Equal Area Coordinate Reference System (ETRS-LAEA) Description
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Content
Reference
Contact
Description CRS(ETRS89 cart / e llip)
Europe
European CRS
Description CRS Transform ation-param eters to ETRS89
European countries
national CRS
http://crs.ifag.de
4. CRS Internet Portal
Information System for European Coordinate Reference Systems - Structure
Homepage
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
| | | | |
N ti l C di t R f S t (CRS)
Pick a country in the list or a red dot in the m ap, then you can ge t a t the next page the inform ation abou t the C oordina te R eference System s C R S and the Transfo rm ations to ET R S89 fo r the country:
a ona oor na e e erence ys em s of European Countries and
Transform ations to European Terrestrial Reference System ETRS89
Copyrigh t by BKG 2001 Last Update 20. A pril 2001
oHo m e C o n ten t Eu r o p ean C R S Nat io n al C R S C n tac t Re fer en c e
Turkey
Sw eden
S lovenia
Russia
Portuga l
Norw ay
Netherlands
Luxem bourg
Latvia
Ire land
Hungary
G reat Brita in
G erm any
F in land
Denm ark
Cyprus
Bulgaria
Austria
Ukra ine
Sw itzerland
Spa in
S lovak R epublic
Rom ania
Poland
Northern Ire land
M acedonia
Lithuan ia
Ita ly
Ice land
G reece
G ibra lta r
France
Estonia
Czech R epub lic
C roatia
Belgium
A lbania
SWEDEN
Selection of CRS
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Country identifier CRS identifier
alias valid area
Datum identifier alias type anchor point valid area scope remarks
Prime meridian identifier greenwich longitude remarks
Ellipsoid identifier alias semi major axis shape inverse flattening remarks
Coordinate system
identifier type dimension n remarks n axis name n axis direction n axis unit identifier
Operation identifier valid area method name method name alias method formula method parameters number m method remarks m parameter name m parameter value m parameter remarks
Description of CRS
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Description of Coordinate Reference System (CRS) — AT_MGI / AT_TM Country Austria Country identifier AT
CRS identifier AT_MGI / AT_TM
CRS alias
CRS valid area Austria
Datum identifier MGI
Datum alias Militärgeographisches Institut Datum type geodetic
Datum anchor point Austria, Hermannskogel, Habsburgwarte, Lat=48°16'15.2900" N, Lon=16°17'41.0600" E (wrt. Greenwich)
Datum valid area Austria Datum scope Datum remarks Prime meridian identifier Ferro
Prime meridian greenwich longitude 17°40' W
Prime meridian remarks
Ellipsoid identifier Bessel 1841
Ellipsoid alias
Ellipsoid semi major axis 6 377 397.155 m
Ellipsoid shape true
Ellipsoid inverse flattening 299.15281285
Ellipsoid remarks
Coordinate system identifier AT_TM
Coordinate system type projected
Coordinate system dimension 2
Coordinate system remarks
Coordinate system axis name X / northing
Coordinate system axis direction North
Coordinate system axis unit identifier meter
Coordinate system axis name Y / easting
Coordinate system axis direction East
Coordinate system axis unit identifier meter
Operation identifier AT_TM
Operation valid area Austria
Operation method name Transverse Mercator Projection
Operation method name alias Gauss Krüger Projection Operation method formula Transverse Mercator Mapping Equations, in Hooijberg,
Practical Geodesy, 1997, pages 81-84 Operation method parameters number 6
Operation method remarks Transverse Mercator Projection, 3 grad width, individual central meridians wrt. Ferro
Operation parameter name latitude of origin
Operation parameter value 0° Operation parameter remarks 0°, the Equator Operation parameter name longitude of origin
Operation parameter value central meridians 28° E, 31° E, 34° E wrt. Ferro Operation parameter remarks central meridian (CM) of each zone Operation parameter name false northing
Operation parameter value 0 m Operation parameter remarks Operation parameter name false easting
Operation parameter value 0 m Operation parameter remarks zone number are explicit Operation parameter name scale factor at central meridian
Operation parameter value 1.0000 Operation parameter remarks Operation parameter name width of zone
Operation parameter value 3° Operation parameter remarks
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Transformations between geodetic datum, map projections
and geographical grids in geodesy and geoinformation
Johannes Ihde, Jens Luthardt
Federal Agency for Cartography and Geodesy
and
Members of the Expert Group Geodesy (ExG G) of EuroGeographics, former WG 8 of CERCO
Zuheir Altamimi, Heinz Habrich, Joao Torres, Georg Weber
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Contents
1. Spatial reference Systems – The European Situation
2. Datum Transformation
3. Coordinate Conversion and Map Projections
4. Transformation of Grid Related Information
5. Realisation of a web-based Geodetic Information and Service System – GISS
6. Contribution of ExG-G and EUREF to ESDI
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Coordinate reference system (CRS) is a coordinate system which is related to the Earth by a datum
datumcoordinate system
incl. map projection
geodetic vertical engineering
coordinate reference systemterrestrial reference system
(grid)
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
1. Spatial reference systems –
The European Situation
A referense frame is the realization of a defined reference system
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Components of European spatial reference systems
(CRS)
E uropean geore fe renc ing by coordina tes
geodetic datumET RS89
coordinate systemellipsoidal/
three m ap projections
European T errestria l Reference System(ET RS)
vertical datumNAP
gravity-related heightsgeopotentia l num bers
norm al heights
European Vertical Reference System(EVRS, EVRF 2000)
European Spatia l Reference System(com pound coordinate reference system )
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
European Coordinate Reference Systems incl. map projections
ETRS89 Ellipsoidal CRS
for storing of positions in
general ellipsoidal latitude, longitude and height
based on ellipsoid GRS80 ETRS-TMzn
ETRS Transverse Mercator CRS
for topographic maps with scales lower or equal 1 : 500 000
similar UTM for northern hemisphere
ETRS-LCC
ETRS Lambert Conformal Conic CRS
for topographic maps with scales larger than 1 : 500 000
Lambert projection with 2 parallels
ETRS-LAEA ETRS89 Lambert Azimuthal Equal Area CRS
for statistical purposes and all applications with equal area projections
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
National Coordinate Reference Systems (CRS) in Europe
# Country ID Coordinate Reference System (CRS) Identifier
Datum Projection
1 Albania AL AL_ALB87 / AL_TM ALB87 Transverse Mercator
2 Austria AT AT_MGI / AT_TM MGI Transverse Mercator
3 Belgium BE BE_BD72 / Lamb72 BD72 Lambert Conformal Conic
4 Bulgaria BG BG_1942 / GK_3 1942 Transverse Mercator (Gauss-Krüger-System)
BG BG_1942 / TM_6 1942 Transverse Mercator
5 Croatia HR HR_HDKS / GK_3 HDKS Transverse Mercator (Gauss-Krüger-System)
6 Cyprus CY CY_ED50 / UTM ED50 Transverse Mercator (UTM)
7 Czech Republic CZ CZ_S-JTSK / JTSK_OCC S-JTSK Oblique Conformal Conic
8 Denmark DK DK_ED50 / UTM ED50 Transverse Mercator (UTM) 9 Estonia EE EE_EST92 / LambEST92 EST92 Lambert Conformal Conic
10 Finland FI FI_KKJ / FI_TM KKJ Transverse Mercator
11 France FR FR_ED50 / EUROLMB ED50 Lambert Conformal Conic
FR FR_NTF / Lamb NTF Lambert Conformal Conic
12 Germany DE DE_DHDN / GK_3 DHDN Transverse Mercator (Gauss-Krüger-System)
DE DE_RD83 / GK_3 RD83 Transverse Mercator (Gauss-Krüger-System)
DE DE_PD83 / GK_3 PD83 Transverse Mercator (Gauss-Krüger-System)
DE DE_42/83/ TM_6 42/83 Transverse Mercator
13 Gibraltar GI GI_ED50 / UTM ED50 Transverse Mercator (UTM) 14 Great Britain GB GB_OSSN(80) / NG OSSN(80) Transverse Mercator
15 Greece GR GR_GGRS87 / GR_TM GGRS89 Transverse Mercator
16 Hungary HU HU_HD-72 / EOV HD-72 Oblique Conformal Cylindric
17 Iceland IS IS_Hj1955 / UTM Hj1955 Transverse Mercator (UTM)
18 Ireland IE IE_Ireland75 / IrishNG Ireland75 Transverse Mercator
19 Italy IT IT_Roma 40 / East Roma 40 Transverse Mercator
IT IT_Roma 40 / West Roma 40 Transverse Mercator
IT IT_ED50 / UTM ED50 Transverse Mercator (UTM) 20 Latvia LV LV...
21 Lithuania LT LT_LKS94 / LT_TM LKS94 Transverse Mercator
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
# Country ID Coordinate Reference System(CRS) Identifier
Datum Projection
22 Luxembourg LU LU_LUREF / LU_Gauss LUREF Transverse Mercator
23 Macedonia(FYROM)
MK MK...
24 Netherlands NL NL_RD / DutchST RD Oblique Stereographic
25 Northern Ireland NI NI_Ireland 75 / IrishNG Ireland 75 Transverse Mercator
26 Norway NO NO_NGO48 / NGO NGO Transverse Mercator
27 Poland PL PL_EUREF89 / 1992 EUREF89 Transverse Mercator
PL PL_EUREF89 / 2000 EUREF89 Transverse Mercator
PL PL_42/58 / 1965 42/58 Oblique Stereogr. (Zone 1...4) / Transv.Mercator (Zone 5)
28 Portugal PT PT_Azo / UTM Azo Transverse Mercator (UTM)
PT PT_D73(84) / PT_Gauss D73(84) Transverse Mercator
PT PT_D73(89) / PT_Gauss D73(89) Transverse Mercator
PT PT_DLx(84) / Bonne DLx(84)
PT PT_DLx(84) / PT_Gauss DLx(84) Transverse Mercator
PT PT_DLx(89) / Bonne DLx(89)
PT PT_DLx(89) / PT_Gauss DLx(89) Transverse Mercator
PT PT_Mad / UTM Mad Transverse Mercator (UTM)
29 Romania RO RO_S42(84) / ..... S42(84)
RO RO_S42(89) / TM_6 S42(89) Transverse Mercator
RO RO_S42(89) / St1970 S42(89) Oblique Stereographic
30 Russia RU RU... Transverse Mercator
31 Slovak Republic SK SK_S-JTSK / JTSK_OCC JTSK Oblique Conformal Conic
32 Slovenia SI SI_SI / GK_3 Transverse Mercator (Gauss-Krüger-System)
33 Spain ES ES_ED50 / UTM ED50 Transverse Mercator (UTM)
34 Sweden SE SE_RT90 / SE_TM RT90 Transverse Mercator
35 Switzerland CH CH_CH1903 / CH_PROJECTION 1903 Oblique Conformal Cylindric
CH CH_CH1903+ / CH_PROJECTION 1903+ Oblique Conformal Cylindric
36 Turkey TR TR_ED50 / TR_TM ED50 Transverse Mercator
TR TR_ED50 / UTM ED50 Transverse Mercator (UTM)
37 Ukraine UA UA... Transverse Mercator
Map Projections in Europe
Albania Cyprus Austria Denmark Bulgaria Germany Finland Gibraltar Great Britain Iceland Greece Italy Ireland Malta Italy Norway Lithuania Portugal Luxembourg Spain Northern Ireland
Universal Transverse Mercator special United States specification of Transverse Mercator Projection - parameter world wide valid - used by NATO - de facto Standard
Turkey Norway Bulgaria Poland Croatia Portugal Germany Romania
Gauss-Krüger-System special German specification of Transverse Mercator Projection
Slovenia Russia Belgium Sweden Estonia Turkey
Lambert Conformal Conic
France Ukraine Czech Rep.
Oblique Conformal Conic Slovak Rep.
Hungary
Oblique Conformal Cylindric Switzerland
Netherlands Poland
Oblique Stereographic
Romania
Transverse Mercator (transversal, cylindrical, conformal)
Bonne Portugal
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
16.08.2001
Map Projections in Europe
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
change of coordinates from one coordinate reference system to another coordinate reference system based on a different datum through a one-to-one relationship
coordinates relatedto source CRS
with datum 1 andcoordinate system A
coordinatetransformatio
n
coordinates relatedto target CRS
with datum 2 andcoordinate system A
2. Datum TransformationCoordinate Transformation
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Operation identifier Country identifier Operation identifier
valid area scope source CRS identifier target CRS identifier version method name method name alias method formula method parameters number m method remarks m parameter name m parameter value m parameter remarks
Description of Transformations to ETRS89
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Description of Transformation to ETRS89 — AT_MGI to ETRS89 Operation identifier AT_MGI to ETRS89
Country Austria
Country identifier AT
Operation valid area Austria
Operation scope for applications with an accuracy of about 1.5 m
Source coordinate reference system ID AT_MGI (X, Y, Z)
Target coordinate reference system ID ETRS89 (X, Y, Z)
Operation version 1996, 84 identical points
Operation method name 7 Parameter Helmert Transformation
Operation method name alias 3D similarity transformation
Operation method formula 7 Parameter Helmert Transformation, |X| |X| |Tx| | 0 -Rz Ry | |X| |X| |Y| = |Y| + |Ty| + | Rz 0 -Rx | * |Y| + D * |Y| |Z| |Z| |Tz| |-Ry Rx 0 | |Z| |Z| T S S S
T ... Target Datum S ... Source Datum Tx, Ty, Tz ... geocentric X/Y/Z translations [m] Rx Ry, Rz ... rotations around X/Y/Z axis [radian] D ... correction of scale [ppm]
- or see - ISO/CD 19111, Annex D, D3 Datum transformationen (1) - or - Boucher, C., Altamimi, Z. (1992): The EUREF Terrestrial Reference System and its First Realizations. Veröffentlichungen der Bayerischen Kommission für die Internationale Erdmessung, Heft 52, München 1992, pages 205-213 (2) - or - ftp://lareg.ensg.ign.fr/pub/euref/info/guidelines/ REF.FRAME.SPECIFV4 (3)
Operation method parameters numb. 7
Operation method remarks The three-dimensional coordinates of (X,Y,Z) of AT_MGI were derived under using ellipsoidal heights, which are computed from levelling heights related to Molo Sartorio (Trieste) and a Geoid related to AT_MGI Datum Hermannskogel and Josefstadt in Bohemia REMARK: for transformation the (ellip) coord. must refer all to Prime Meridian Greenwich
Operation parameter name geocentric X translation
Operation parameter value +577.3 m
Operation parameter remarks
Operation parameter name geocentric Y translation
Operation parameter value +90.1 m
Operation parameter remarks
Operation parameter name geocentric Z translation
Operation parameter value +463.9 m
Operation parameter remarks
Operation parameter name rotation X-axis
Operation parameter value +5.137"
Operation parameter remarks to be in agreement with formulas the rotation parameter has to be converted to Radians
Operation parameter name rotation Y-axis
Operation parameter value +1.474"
Operation parameter remarks to be in agreement with formulas the rotation parameter has to be converted to Radians
Operation parameter name rotation Z-axis
Operation parameter value +5.297"
Operation parameter remarks to be in agreement with formulas the rotation parameter has to be converted to Radians
Operation parameter name correction of scale
Operation parameter value +2.42 ppm
Operation parameter remarks
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Formula of 7 Parameter Helmert (similarity) Transformation
(ISO19111)
(T) Target Datum
(S) Source Datum
T1, T2, T3 geocentric X/Y/Z translations [m]
R1, R2, R3 rotations around X/Y/Z axis [radian]
D correction of scale [ppm]
Remark: the rotations R1, R2, R3 must be small.
)S(12
13
23
3
2
1
)S()S(12
13
23
3
2
1
)S()(T1
1
1
0
0
0
Z
Y
X
DRR
RDR
RRD
T
T
T
Z
Y
X
D
Z
Y
X
RR
RR
RR
T
T
T
Z
Y
X
Z
Y
X
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
change of coordinatesfrom one coordinate system to another based on the same datumbased on a one-to-one relationship(including map projection)
coordinates relatedto source CRS
with datum 1 andcoordinate system A
coordinateconversion
coordinates relatedto target CRS
with datum 1 andcoordinate system B
3. Coordinate Conversion and Map Projections
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
• 3D:– Cartesian: X, Y, Z – Ellipsoidal: , , h (Geodetic Coordinates)– Mapping: E, N, h– Spherical: R, , – Cylindrical: l, , Z
• 2D: – Geographic: , – Mapping: E, N
• Height system: H
o
P
Z
Y
X
Rz
Rcos cosOP Rcos sin Rsin
l cosOP l sin z
l
SphericalCylindrical
Coordinate Systems
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
c
b
a
Y
0 P´
Ph
Z
X
zero meridian central meridian
local meridian
0
P´
E
N
mapping ofthe centralmeridian
mapping of the local meridian
Section of Ellipsoid Plane of the Projection
Map projection
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Datum 1
Coordinate System A
Datum 1
Coordinate System B
Datum 2
Coordinate System A
coordinatetransformation I
coordinateconversion
coordinatetransformation II(concatenated coordinate operations)
Coordinate conversion and coordinate transformation
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
4. Transformation of Grid Related InformationMost of the transformation/conversion cases in geodesy and geoinformation are related to point information (easy case of a one to one relationship).
In physical geodesy some processing procedures bases on mean values over near equal area grids/compartments (geoid determination by solution of a BVP with mean gravity anomalies and topographic heights)
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
The grid/compartment system is defined in a coordinate system (e.g. in ellipsoidal cs).
The coordinate system is related to the Earth by a datum. The information to be stored in a grid system are connected to the Earth.
Two cases of grid transformation:
- Change of the grid/compartment system (coordinate system)
- Change of the datum.
There are no problems with point related information.
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
In case of a change of the datum there are two possibilities change mean values:
1. Shift of the position of the grid/compartments on the Earth surface … it means the content/values of the compartments will be changed. The values of the boundaries of the compartments are fixed. (datum shift)
2. Fix the position of the compartment on the Earth surface … it means the content/values of the compartments will be fixed. The values of the boundaries of the compartments has to be changed by a datum transformation. (coordinate conversion)
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Conclusion
Store all information as point information in ellipsoidal coordinates in ETRS89
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
• in cooperation of EUREF and EuroGeographics will be realised by Bundesamt für Kartographie und Geodäsie (BKG)
• will be the further development of the Information System for European Coordinate Reference Systems (CRS)
• Access at present for CRS: http://crs.ifag.de or Links from Hompages of BKG, EUREF, EuroGeographics
5. Realisation of a web-based Geodetic Information and Service System – GISS
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Realisation of a web-based Geodetic Information and Service System – GISS (2)
• CRS contains at present for position– descriptions of national Coordinate Reference
Systems (CRS) of European countries– descriptions of pan-European CRS
(ETRS89)– descriptions of transformation parameters of
national CRS to pan-European CRS with an accuracy of 1...3 m
The information were provided from the National Mapping Agencies (NMA) and unified and prepared regarding ISO-Standard 19111.
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Realisation of a web-based Geodetic Information and Service System – GISS (3)• further development
– upgrading for the gravity-related height component (in preparation – circular letter)
– generally information about CRS, Coordinates, Transformations, Map Projections etc.
– current separately existing Websites for projects of height reference systems http://evrs.leipzig.ifag.de (EVRS) will be included and updated
– upgrading for single point online transformation and conversion
– adding data for describing the Earth gravity field
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
CRSOverview
Description ofCRS
CRS Service
CRSCoordinate Reference System s
GeoidOverview
Description ofEuropean Geoid
Geoid ServiceCom putation of Geoid
undulations
GeoidGravity F ield
GISSGeodetic In form ation and
Service System
Realisation of a web-based Geodetic Information and Service System – GISS (4)
Structure
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Realisation of a web-based Geodetic Information and Service System – GISS (5)
Sub-Structure of CRS
C R S -O ve rv iewgene ral in fo rm a tion
abou t C RS
C R S L inks
C R S -O verview
description ofpan -E u ropean C RS
reg ard ingIS O -S ta nda rd
descr. o f de fin itionsand p rojec ts of
pan -E u ropean C RS(E V R S , E T R S 89 , ...)
descrip tiono f C R S
fo r pos itio n and he ight
P a n -E uro p e an C RS
descrip tiono f C R S
pa ram e terw ith spec ified
accu ra cy
description of tra nsfo rm a tion s to
pan -E uropeanC R S
fo r pos itio n and he ight
N atio n a l C RS
C R S -Descrip tion
in te ra ctive coord ina tetrans form atio ns
na tiona l topan -E u ropean C RS
in te ra ctive coord ina teco nvers ion
C R S -S ervice
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
GISS - Online Transformation Position
national CRS ETRS89
North East
Latitude Longitude(ell. height)
XYZ
North East
Latitude Longitude(ell. height)
XYZ
Transformation
Conversion
Conversion
Conversion
Conversion
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
GISS - Online TransformationHeight
national CRS EVRF2000
Height Height
Transformation
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
6. Georeferencing for EuroGeographics projects(Contribution of ExG-G and EUREF to a ESDI- INSPIRE/ EuroSpec)
• Geodetic Components to Reference Data• Geodetic Control Stations (EPN, ECGN)• Geodetic Information and Service System (GISS)• Real Time Data Transfer for Global Navigation
Satellite Systems (NTRIP)• Validation and Certification of Geodetic
Information
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Geodetic Information and Service System GISS
C R S -O ve rv iewge ne ral in fo rm a tion
ab ou t C RS
C R S L inks
C R S -O verview
de scription ofpa n -E u ropea n C RS
regard ingIS O -S ta nda rd
de scr. o f de fin itionsan d p rojec ts of
pa n -E u ropea n C RS(E V R S , E T R S 89 , ...)
de scrip tiono f C R S
fo r po s ition a nd he ig ht
P an -E uro p ean C RS
de scrip tiono f C R S
pa ram e terw ith spe c ified
accu ra cy
de scription of trans fo rm a tion s to
pa n -E uropeanC R S
fo r po s ition a nd he ig ht
N atio n a l C RS
C R S -De scrip tion
in te ra ctive coord in a tetra ns form atio ns
na tiona l topa n -E u ropea n C RS
in te ra ctive coord in a teco nvers ion
C R S F o rum
C R S -S ervice
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
GPS
Reference Station on the Internet
MobileIP
Network
ClientPDA
DGPS
Internet elsewhereGPRSMode
m
ServerPC
GNSS & Internet principle
Broadcaster
Networked Transport of RTCMvia Internet Protocol (Ntrip)
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
Data & services (Contribution of ExG-G and EUREF to ESDI)
EUREF stations
Web portal
EPN data
Densifications
Navigation, GNSS
Other services
Certification
User needs
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
The Transformation of coordinates, which refer to different geodetic datum and map projections, is a standard task for the referencing of geoinformation and one of the basic tasks of geodesy. Thereby we essentially fall back on point information. The transformation of information, which is dedicated to grids/compartiments, comes up to the physical geodesy.
Principles of transformation, conversion of coordinates and information transfer, that are dedicated to grids/compartiments, are being described and discussed.
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
EuroGrid Workshop Oct.27-29, 2003, JRC, ISPRA
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