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

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. Jeanne Pellerin, Bruno Lévy, Guillaume Caumon