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Convection-Driven Dynamic Surface Reconstruction Remi All`egre Raphaelle Chaine Samir Akkouche

Summary: Convection-Driven Dynamic Surface Reconstruction
R´emi All`egre Rapha¨elle Chaine Samir Akkouche
LIRIS CNRS, Universit´e Claude Bernard Lyon 1, France
{Remi.Allegre, Raphaelle.Chaine, Samir.Akkouche}@liris.cnrs.fr
Reconstruction of a simplified mesh Local dynamic reconstruction refinement
Figure 1. Our reconstruction framework, illustrated on the TRIPLE HECATE model. Starting from a dense input point set, we reconstruct a simplified
mesh (center). Benefiting from the connectivity of this initial reconstruction, we can make it to evolve dynamically so as to refine the approximation
locally. This refinement can be achieved either in an automatic fashion, for example in order to improve the quality of the elements of the mesh, or
interactively, in order to add or remove sample points. Here, the draped dress has been locally enhanced (right).
In this paper, we introduce a flexible framework for the
reconstruction of a surface from an unorganized point set,
extending the geometric convection approach introduced by
Chaine [9]. Given a dense input point cloud, we first ex-
tract a triangulated surface that interpolates a subset of the
initial data. We compute this surface in an output sensitive
manner by decimating the input point set on-the-fly during
the reconstruction process. Our simplification procedure
relies on a simple criterion that locally detects and reduces
oversampling. If needed, we then operate in a dynamic fash-


Source: Allègre, Rémi - Département Informatique, Université de Strasbourg
Chaine, Raphaëlle - Laboratoire d'InfoRmatique en Image et Systèmes d'information, Université Claude Bernard (Lyon I)
Frey, Pascal - Laboratoire Jacques-Louis Lions, Université Pierre-et-Marie-Curie, Paris 6


Collections: Computer Technologies and Information Sciences; Mathematics