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.
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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}
}