Euclidium (high precision imaging sensor geometric modelling)

Euclidium is the result of more than 20 years of continuous improvement and R&D with CNES (French National Space Agency) and IGN (French National Geographic Institute). Euclidium has been chosen as the reference for the implementation of sensor geometry by the French MoD.

Multi-image/multi-sensor Bundle adjustment:

On single scenes or on frame series (modelled as a single collection of unknowns),
Use of a priori orientations and trajectory of the sensor along with optional GCPs and/or Tie points,
Global adjustment to minimize errors on all parameters in order to achieve best registration of any bands/scene/sensor combinations,
Rigorous math modelling allows sub-pixel accuracy for sensors publishing their exact model,
Bundle adjustment can take care of hundreds of scenes within a few minutes,
Results : continuous and multi-temporal coverage can be ortho-rectified.

Output of rectification grids:

Direct or inverse transformation grids (pixel to ground and ground to pixel), use of Geoidal and DTM information when available for highest precision grades,
Epipolar geometry grids for work on stereo images projected to a common terrestrial reference coordinate system,
Pose/orientation grids for ray tracing type of computations.

Euclidium is used by :

IGN in GeoView® software suite (ortho-image production) developed and exploited by “IGN Espace”, many country wide bundle adjustments achieved.
CNES on batch processing basis for flight commissioning needs (GEQI H2).
for Pléiades, Venus & Sentinel 2 operational image processing chains,
the French MoD for the KHEPER map production facility.

C++ library, with modular plug-ins for different sensors with a clean API allowing easy access to the main functions,

A toolbox composed of a collection of executables for batch type applications with rich and detailed technical documentation (user manual, developers manual, reference specification documentation…)

Euclidium is built on a common generic set of functions extended with modules implementing the specifics of each sensor. It is therefore possible to plug-in new sensors of your own if required.

Euclidium is being maintained and tested on the following platforms:

Red Hat Enterprise Linux 4 (PC 32/64 bits), compiled with gcc 3.4 or icc 9 or 10,
SUN OS 5.8 (Sun 64 bits), compiled with Forte C++ 6,
Windows XP (PC 32 bits), compiled with VS 2005,
MAC OS X (Mac 32 bits), compiled with gcc 4.0.

Euclidium uses the GDLIB map projection library, owned by the French MoD and maintained by Magellium. Euclidium is licensed under contract agreement #70267 between CNES, IGN & Magellium.

More information...

Euclidium currently supports many spatial push-broom, radar and aerial sensors (partial list):

Aster: HDF4 format, Level 1A,
IRS P5 & P7 (Cartosat 1&2): Text format, « Orthokit » Level,
COSMOS Skymed : HDF5 format, « SCS » & « DGM » types,
ENVISAT – ASAR : ENVISAT format, SLC & PRI types,
ERS 1&2 : CEOS format, SLC & PRI types,
Formosat 2 : DIMAP format, Level 1A,
GeoEye 1 : Text format, Level « Standard Geometrically Corrected »,
IKONOS 2 : Text format, Level « Standard Geometrically Corrected »,
Landsat 5&7 : « MTL.txt » & « WO.tif » formats, Level 1G,
Aerial perspective camera, (Pelcan…),
Pléiades : Level 1, Level « Perfect Sensor », « internal » products with Euclidium header,
QuickBird 2 : Text format, Level 1B (true physical modelling) & « XML » format, Level 2A,
RADARSAT 1&2 : CEOS format, SLC & PRI types (true physical modeling), format « XML » format « SLC », « SGF » & « SGX » types,
Sentinel 2 : DIMAP format, archive & 1B level,
Spot 1 à 5 : CEOS or DIMAP format, Level 1A & 1B, any spectral mode,
TanDEM-X : « XML » format, « SCC » & « MGD » types,
TerraSAR-X : « XML » format, « SSC » & « MGD » types,
Venus : DIMAP format, Level 0 & 1A,
Worldview 1&2 : Text & XML formats, Level 1B & 2A,
European Military Satellites…