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Topological control for isotropic remeshing of non-manifold surfaces with varying resolution: application to 3D structural models

Jeanne Pellerin 1, 2 Bruno Lévy 2 Guillaume Caumon 1
2 ALICE - Geometry and Lighting
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : In this paper we propose a method to remesh non-manifold surfaces with triangles as equilateral as possible. We adapt an existing Voronoi based remeshing framework to recover the topology of non-manifold surfaces and their boundaries. The input of the procedure is a non-manifold triangulated surface constituted of several connected components representing geological interfaces (faults, horizons, detachments, etc). Positions of a given number of points are globally optimized to obtain an isotropic sampling of the surface. Then a topological control that enforces the topological ball property adds points to recover non-manifold edges and vertices. The method is demonstrated on a complex 3D fault model and clears the path for generating several models with varying resolution under topological control.
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https://hal.inria.fr/hal-00763409
Contributor : Bruno Levy <>
Submitted on : Monday, December 10, 2012 - 5:04:40 PM
Last modification on : Monday, March 15, 2021 - 10:56:03 AM

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Jeanne Pellerin, Bruno Lévy, Guillaume Caumon. Topological control for isotropic remeshing of non-manifold surfaces with varying resolution: application to 3D structural models. IAMG 2011 - Mathematical Geosciences at the Crossroads of Theory and Practice, Sep 2011, Salzburg, Austria. pp.678-688, ⟨10.5242/iamg.2011.0158⟩. ⟨hal-00763409⟩

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