Optimisation de maillage surfacique de pièces mécaniques par une méthode diffuse inverse
Keywords:
surface mesh generation, diffuse approximation, feature recognition, meshless techniquesAbstract
We propose in this paper a method to identify on a mesh geometric primitives commonly used in mechanical parts (plane, sphere, cylinder, torus, cone) in order to improve the quality of the surface remeshing. We have already presented techniques to adapt an existing surface mesh based on a meshfree technique denoted as Diffuse Interpolation. In this approach, a secondary local geometrical model is built from the mesh. From this model, principal curvatures are calculated and the type of surface can be determined from the computation of the curvatures. Some of the concepts presented here are original while others have been adapted from techniques used in reverse engineering. Our approach is not limited to feature recognition on meshes but has been extended to set of points.
Downloads
References
Besl P. J. and Jain R. C., “Segmentation through variable-order surface fitting”, IEEE Trans.
On Pattern Analysis and Machine Intelligence, 10, 167-192, 1988.
Breitkopf P., Rassineux A., Villon P., “Diffuse Approximation Technology: Fundamentals
and Implementation”, Revue Européenne des Eléments Finis, 11, 825-867, Hermes-
Lavoisier, 2002.
Chamoret D., Rassineux A., Villon P., Bergheau J-M., « Régularisation d’une surface de
contact par approximation diffuse », Revue Européenne des Eléments Finis, 11(1), 431-
, 2002.
Chappuis C., Rassineux A., Breitkopf P., Savignat J.M., Villon P., « Reconnaissance de
formes à partir d’un nuage de points, basée sur une interpolation diffuse de type
Hermite », 5e Colloque Natiornal en Calcul des Structures, Giens 2001.
Goulette F., Quelques outils de géométrie différentielle pour la construction automatique de
modèles CAO à partir d’images télémétriques, Thèse ENSMP, 1997.
Mantyla M., “An Introduction to Solid Modeling”, Computer Science Press Inc., 1988.
Nayroles B., Touzot G., Villon P., “Generalizing the Finite Element Method: Diffuse
Approximation and Diffuse Elements”, Computational Mechanics, 10,1992, 307-318.
Rassineux A., Villon P., Savignat J-M., Stab O., “Surface remeshing by local hermite diffuse
interpolation”, Int. J. Num. Meth. Eng., 49, 31-49, Wiley, 2000.
Rassineux A., Maillage et Approximation Diffuse, Habilitation à Diriger des Recherches, 4
décembre 2002, Ecole Doctorale de l’Université de Technologie de Compiègne.
Shakarji C. M., “Least-squares fitting algorithms of the NIST Algorithm Testing System”,
Journal of Research of the National Institute of Standards and Technology, 103, 633-641,
