A New Modeling Approach By Global and Local Characterization
Jean‐Luc Mari, Jean Séqueira · 2001
In this paper, we introduce a new approach for modeling closed surfaces. After working with several methods, we think that none really takes into account both the local and global characteristics of an object within a single coherent model. For instance, para-metric surfaces endure changes of topology with difficulty and can mainly be used for local modifications of an object’s surface. On the opposite, implicit surfaces allow a good global characterization of an object, thanks to a skeleton. However, the latter quickly shows its limits when it comes to small variations on an object’s surface. After exposing several limits of classical existing approaches, we present the concept of a double characterization of an object, us-ing two skeletons (intern and extern) and transition layers that link these two entities. The intern and extern skeletons define the ob-ject’s topology, morphology and geometry in a different way than with the usual definition of a skeleton. In the end of this paper, we use this modeling approach in a reconstruction context.