Résumé
Geometric model reconstruction from a set of points is a difficult problem, which has been tackled with many different approaches. The reconstruction of the mechanical part is a necessity to visualize parts, simulate, assembly and detect interferences... The reconstruction of geometric entities (curves, edges, surfaces, faces) of these parts introduces particular difficulties. The most difficult problem to obtain the 3D geometric model from a cloud of points is the reconstruction of the faces. Many methods have been proposed to simplify the reconstruction of surfaces. There are two types of surface reconstruction: one of primitive shapes and the other of complex shapes like deformed mechanical parts and objects containing complex surfaces. In this paper, we present an algorithm to reconstruct the computer-aided design model from a deformed mesh. Then, we address a solution to reconstruct a 3D surface from a cloud of points extracted from a deformed mesh.