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

in: IAMG 2011 - Mathematical Geosciences at the Crossroads of Theory and Practice, pages 678-688

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.

Download / Links

BibTeX Reference

@inproceedings{pellerin:hal-00763409,
 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.},
 address = {Salzburg, Austria},
 author = {Pellerin, Jeanne and L{\'e}vy, Bruno and Caumon, Guillaume},
 booktitle = {{IAMG 2011 - Mathematical Geosciences at the Crossroads of Theory and Practice}},
 doi = {10.5242/iamg.2011.0158},
 editor = {Marschallinger and R. and Zolb and R},
 hal_id = {hal-00763409},
 hal_version = {v1},
 month = {September},
 pages = {678-688},
 series = {IAMG 2011 Proceedings},
 title = {{Topological control for isotropic remeshing of non-manifold surfaces with varying resolution: application to 3D structural models}},
 url = {https://inria.hal.science/hal-00763409},
 year = {2011}
}