Section: New Results
Topology computation on simplicial shapes
Participants : Dobrina Boltcheva, Franck Hétroy.
This work is a part of the BQR project IDEAL (see Section 8.1.1 ) which is performed in collaboration with Leila de Floriani from the University of Genova in Italy. The main goal of this project is to study non-manifold geometrical models and to find out features allowing to classify these models and criteria for determining their shape. We are interested in non-manifold models such as idealized industrial CAD models, since they are still ill-understood even if they are frequently used in computer graphics and many engineering applications.
We have developed an efficient method to compute the homology of a large (non-manifold) simplicial complex, from the homologies of its sub-complexes. Computed topological invariants play a crucial role in the field of shape description and analysis. This work has been published in the CAD journal  and presented at the SIAM conference on geometric and physical modeling (GD/SPM'11).