Geometrical and topological analysis
The analysis of global or local characteristics derived from geometrical data is the shared foundation of modeling, pairing methods or multi-resolution representations. These works allow shape characterization, recognition of lines, homogeneous areas detection… on various objects (triangle mesh, points cloud, voxels set, topologically-defined abstract objects).

Modeling – reconstruction
This topic add semantic information to geometrical data. These properties are pre-given (declarative modeling) or extracted from the digitized object (characterization). It permits the completion of a multiple-levels constraint set (from data to experts), and requires adapted solving techniques.

Merging data and specific modeling for graphical simulation
In multiple representations model management, merging data and graphical simulation should be based on geometrical modeling. The merging of information enriches data but also introduces redundancy. Whatever the realism of the produced images, or the mean to achieve simulation, the complexity of such an environment is constrained by information transfers. Modeling is then a basis for knowledge representation (semantic data indexation, spacial or temporal tracking).