Ibrahim est doctorant au LIB – équipe Modélisation Géométrique
Titre : 3D Reassembling proposals based simultaneously on geometrical features and topologyRésumé : Reassembling fragmented 3D objects is a challenging task, especially for archaeological artifacts with surface degradation and material heterogeneity. We propose a method that integrates geometrical and topological features within a unified graph-based representation. The process begins with Reeb graph segmentation to partition each fragment’s surface, from which we construct an adjacency graph encoding the spatial organization of surface regions. Local geometry is characterized using the shape index, enabling the detection of complementary areas across fragments. Pairwise fragment matches are obtained by comparing patterns in the fragments’ adjacency graphs and verifying geometric consistency constraints. Global reassembly is then performed through clustering, guided by the identified matches and reinforced by collision checks to prevent interpenetration. Experiments on public datasets demonstrate the robustness of our method in reassembling degraded fragments, including multi-object scenarios.