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

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.