MarchingParticles: Fast Generation of Particles for the Sampling of Implicit Surfaces

Florian Levet 1, 2 Xavier Granier 1, 2 Christophe Schlick 2, 1
1 IPARLA - Visualization and manipulation of complex data on wireless mobile devices
INRIA Futurs, Université Sciences et Technologies - Bordeaux 1, École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB), CNRS - Centre National de la Recherche Scientifique : UMR5800
Abstract : Particle systems, as originally proposed by Witkin and Heckbert [32], are a powerful way to sample implicit surfaces since they generate almost evenly distributed samples over the surface, thanks to a global minimization of an energy criterion. Nonetheless, due to the computational cost of the relaxation process, the sampling process becomes rather expensive when the number of samples exceeds a few thousands. In this paper, we propose a technique that only relies on a pure geometry processing which enables us to rapidly generate the set of final particles (e.g. half a second to generate 5,000 particles for an analytic implicit surface) with near-optimal positions. Because of its characteristics, the technique does not need the usual split-and-death criterion anymore and only about ten relaxation steps are necessary to get a high quality sampling. Either uniform or non-uniform sampling can be performed with our technique.
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Florian Levet, Xavier Granier, Christophe Schlick. MarchingParticles: Fast Generation of Particles for the Sampling of Implicit Surfaces. Computer graphics & geometry, Moscow Engineering Physics Institute (MEPhI), 2007, 9 (1), pp.18-49. ⟨inria-00187183⟩

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