Delaunay Deformable Models: Topology-Adaptive Meshes Based on the Restricted Delaunay Triangulation

@article{Pons2007DelaunayDM,
  title={Delaunay Deformable Models: Topology-Adaptive Meshes Based on the Restricted Delaunay Triangulation},
  author={Jean-Philippe Pons and Jean-Daniel Boissonnat},
  journal={2007 IEEE Conference on Computer Vision and Pattern Recognition},
  year={2007},
  pages={1-8}
}
In this paper, we propose a robust and efficient Lagrangian approach, which we call Delaunay deformable models, for modeling moving surfaces undergoing large deformations and topology changes. Our work uses the concept of restricted Delaunay triangulation, borrowed from computational geometry. In our approach, the interface is represented by a triangular mesh embedded in the Delaunay tetrahedralization of interface points. The mesh is iteratively updated by computing the restricted Delaunay… CONTINUE READING
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