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On Volumetric Shape Reconstruction from Implicit Forms

Li Wang 1 Franck Hétroy-Wheeler 1 Edmond Boyer 1
1 MORPHEO - Capture and Analysis of Shapes in Motion
Inria Grenoble - Rhône-Alpes, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, LJK - Laboratoire Jean Kuntzmann
Abstract : In this paper we report on the evaluation of volumetric shape reconstruction methods that consider as input implicit forms in 3D. Many visual applications build implicit representations of shapes that are converted into explicit shape representations using geometric tools such as the Marching Cubes algorithm. This is the case with image based reconstructions that produce point clouds from which implicit functions are computed, with for instance a Poisson reconstruction approach. While the Marching Cubes method is a versatile solution with proven efficiency, alternative solutions exist with different and complementary properties that are of interest for shape modeling. In this paper, we propose a novel strategy that builds on Centroidal Voronoi Tessellations (CVTs). These tessellations provide volumetric and surface representations with strong regularities in addition to provably more accurate approximations of the implicit forms considered. In order to compare the existing strategies, we present an extensive evaluation that analyzes various properties of the main strategies for implicit to explicit volumetric conversions: Marching cubes, Delaunay refinement and CVTs, including accuracy and shape quality of the resulting shape mesh.
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Submitted on : Friday, September 16, 2016 - 4:43:29 PM
Last modification on : Wednesday, May 4, 2022 - 9:56:06 AM
Long-term archiving on: : Saturday, December 17, 2016 - 2:32:05 PM

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Li Wang, Franck Hétroy-Wheeler, Edmond Boyer. On Volumetric Shape Reconstruction from Implicit Forms. ECCV 2016 - European Conference on Computer Vision, Oct 2016, Amsterdam, Netherlands. ⟨10.1007/978-3-319-46487-9_11⟩. ⟨hal-01349059⟩

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