Using Polyhedral Models to Automatically Sketch Idealized Geometry for Structural Analysis

P. Véron, J.-C. Léon
2001 Engineering with Computers  
is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. This is an author-deposited version published in: http://sam.ensam.eu Handle ID: .http://hdl.handle.net/10985/8365 To cite this version : Philippe VERON, Jean-Claude LÉON -Using polyhedral models to automatically sketch idealized geometry for structural analysis -Engineering With ABSTRACT Simplification of polyhedral models, which may
more » ... 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 they kept or not the manifold of the object are managed simultaneously with the geometric operations of the simplification process.
doi:10.1007/s366-001-8303-6 fatcat:zs2i4hhij5e75kmoenzkuvzhhm