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

in: Proc. IAMG, Salzburg, pages 678-685

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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BibTeX Reference

@INPROCEEDINGS{Pellerin2011,
    author = { Pellerin, Jeanne and Levy, Bruno and Caumon, Guillaume },
    editor = { Marschallinger, R. and Zolb, R. },
     title = { Topological control for isotropic remeshing of non-manifold surfaces with varying resolution: application to 3D structural models. },
     month = { "sep" },
 booktitle = { Proc. IAMG, Salzburg },
      year = { 2011 },
     pages = { 678-685 },
       doi = { doi:10.5242/iamg.2011.0158 },
  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. }
}