Using polyhedral models to automatically sketch idealized geometry for structural analysis
Article dans une revue avec comité de lecture
Date
2001Journal
Engineering with ComputersAbstract
Simplification of polyhedral models, which may incorporate large numbers of faces and nodes, is often required to reduce their amount of data, to allow their efficient manipulation, and to speed up computation. Such a simplification process must be adapted to the use of the resulting polyhedral model. Several applications require simplified shapes which have the same topology as the original model (e.g. reverse engineering, medical applications, etc.). Nevertheless, in the fields of structural analysis and computer visualization, for example, several adaptations and idealizations of the initial geometry are often necessary. To this end, within this paper a new approach is proposed to simplify an initial manifold or non-manifold polyhedral model with respect to bounded errors specified by the user, or set up, for example, from a preliminary F.E. analysis. The topological changes which may occur during a simplification because of the bounded error (or tolerance) values specified are performed using specific curvature and topological criteria and operators. Moreover, topological changes, whether or not they kept the manifold of the object, are managed simultaneously with the geometric operations of the simplification process.
Files in this item
Related items
Showing items related by title, author, creator and subject.
-
Article dans une revue avec comité de lectureVERON, Philippe; LÉON, Jean-Claude; TROMPETTE, Philippe (Elsevier, 1998)A new methodology dedicated to the design of textile structures is introduced. It is based on a collaborative environment to carry out the dialogues between the actors participating in the design process. A speci®c ...
-
Article dans une revue avec comité de lectureVERON, Philippe; LÉON, Jean-Claude (Springer Verlag, 1998)The design of fabric structures incorporates specfic aspects due to the tight interdependency between geometric, mechanical and manufacturing data used by the different professional partners. This is highlighted through ...
-
Article dans une revue avec comité de lectureVERON, Philippe; LEON, Jean-claude (Springer Verlag, 1997)Free-form surfaces deformation is di¦cult since more than one control point must be moved to achieve satisfying results. Simultaneous movement of control vertices provides semiglobal deformation. The method uses ...
-
Article dans une revue avec comité de lectureLa construction d'une surface paramétrique à partir de données issues de la numérisation d'un objet réel est une étape longue et fastidieuse pour l'utilisateur. La difficulté principale de ce processus réside dans la ...
-
Article dans une revue avec comité de lectureVERON, Philippe; LÉON, Jean-Claude (Elsevier, 1998)AbstractÐA new approach is introduced to reduce the number of nodes of a polyhedral model according to several conditions which allow to produce high quality simpli®ed geometries. The simpli®ed polyhedron must satisfy ...