The aim of the method proposed here is to show the possibility of generating adaptive surface meshes suitable for the finite element method, directly from an approximated boundary representation of an object coming from a Computer Aided Design software. First, we describe this boundary representation, then, we will show how to obtain a conforming, size adapted, mesh. This size adaptation is made with consideration to the geometrical approximation as well as to the respect of an isotropic or anisotropic map, coming from an error estimator. This mesh can be used “as is” for a finite element computation (with shells elements), or be used as to initiate a volume meshing algorithm (Delaunay or advancing front), for 3D simulation. Finally, we will show than the non use of the parametric representation of the geometrical model allows us to do override some limitations of the traditional meshing software based on an exact representation of the geometry.