Topology-Adaptive Mesh Deformation for Surface Evolution, Morphing, and Multi-View Reconstruction

Andrei Zaharescu (1) , Edmond Boyer (1) , Radu Horaud (1)

1 PERCEPTION - Interpretation and Modelling of Images and Videos

Triangulated meshes have become ubiquitous discrete-surface representations. In this paper we address the problem of how to maintain the manifold properties of a surface while it undergoes strong deformations that may cause topological changes. We introduce a new self-intersection removal algorithm, TransforMesh, and we propose a mesh evolution framework based on this algorithm. Numerous shape modelling applications use surface evolution in order to improve shape properties, such as appearance or accuracy. Both explicit and implicit representations can be considered for that purpose. However, explicit mesh representations, while allowing for accurate surface modelling, suffer from the inherent difficulty of reliably dealing with self-intersections and topological changes such as merges and splits. As a consequence, a majority of methods rely on implicit representations of surfaces, e.g. level-sets, that naturally overcome these issues. Nevertheless, these methods are based on volumetric discretizations, which introduce an unwanted precision-complexity trade-off. The method that we propose handles topological changes in a robust manner and removes self intersections, thus overcoming the traditional limitations of mesh-based approaches. To illustrate the effectiveness of TransforMesh, we describe several challenging applications: surface morphing and 3-D reconstruction.

Mots clés: Mesh; surface; manifold mesh; triangulated mesh; mesh evolution; deformable objects; morphing; 3-D reconstruction

Domaines: Vision par ordinateur et reconnaissance de formes [cs.CV]

Andrei Zaharescu, Edmond Boyer, Radu Horaud. Topology-Adaptive Mesh Deformation for Surface Evolution, Morphing, and Multi-View Reconstruction. [Research Report] RR-7136, INRIA. 2009, pp.34. ⟨inria-00438358v2⟩