3. Balance sheet

The completeness of the declaration of nominal geometry, i.e. tolerancing and dimensioning, is defined for a data stream with a view to integration to take account of the actual geometry. This tolerancing declaration and intrinsic surface definition is achieved by applying a list of relative positioning constraints to the SATT model. Mathematization of the study results in isoconstrained and overconstrained mathematical systems, which are solved by solvers. For example, studies are underway on the intrinsic definition of complex surfaces, or on the different cases of tolerancing or control.

The intrinsic definition of surfaces has enabled considerable progress, not only in the field of geometry, but also in tolerancing and dimensional metrology. On the one hand, this progress makes it possible to deal with asymmetrical tolerances (shifted and evolving) and, on the...