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Overview of Shelling for 2-Manifold Surface Reconstruction Based on 3D Delaunay Triangulation

Authors :
Maxime Lhuillier
Institut Pascal (IP)
SIGMA Clermont (SIGMA Clermont)-Université Clermont Auvergne [2017-2020] (UCA [2017-2020])-Centre National de la Recherche Scientifique (CNRS)
Source :
Journal of Mathematical Imaging and Vision, Journal of Mathematical Imaging and Vision, 2017, 59 (2), pp.318-340. ⟨10.1007/s10851-017-0734-4⟩, Journal of Mathematical Imaging and Vision, Springer Verlag, 2017, 59 (2), pp.318-340. ⟨10.1007/s10851-017-0734-4⟩
Publication Year :
2017
Publisher :
HAL CCSD, 2017.

Abstract

International audience; Recently, methods have been proposed to reconstruct a 2-manifold surface from a sparse cloud of points estimated from an image sequence. Once a 3D Delaunay triangulation is computed from the points, the surface is searched by growing a set of tetrahedra whose boundary is maintained 2-manifold. Shelling is a step that adds one tetrahedron at once to the growing set. This paper surveys properties that helps to understand the shelling performances: shelling provides most tetrahedra enclosed by the final surface but it can " get stuck " or block in unexpected cases.

Details

Language :
English
ISSN :
09249907 and 15737683
Database :
OpenAIRE
Journal :
Journal of Mathematical Imaging and Vision, Journal of Mathematical Imaging and Vision, 2017, 59 (2), pp.318-340. ⟨10.1007/s10851-017-0734-4⟩, Journal of Mathematical Imaging and Vision, Springer Verlag, 2017, 59 (2), pp.318-340. ⟨10.1007/s10851-017-0734-4⟩
Accession number :
edsair.doi.dedup.....f79b3de44190ac173cd60f7039f64852
Full Text :
https://doi.org/10.1007/s10851-017-0734-4⟩