WIAS Preprint No. 1850, (2013)

A curvature-adapted anisotropic surface remeshing method


  • Dassi, Franco
  • Si, Hang

2010 Mathematics Subject Classification

  • 65M50 65N50 65D18 68U05 68N99


  • surface mesh generation, surface remeshing, curvature-adapted, anisotropic, mesh optimization, edge flip


We present a new method for remeshing surfaces that respect the intrinsic anisotropy of the surfaces. In particular, we use the normal informations of the surfaces, and embed the surfaces into a higher dimensional space (here we use 6d). This allow us to form an isotropic mesh optimization problem in this embedded space. Starting from an initial mesh of a surface, we optimize the mesh by improving the mesh quality measured in the embedded space. The mesh is optimized by combining common local modifications operations, i.e., edge flip, edge contraction, vertex smoothing, and vertex insertion. All operations are applied directly on the 3d surface mesh. This method results a curvature-adapted mesh of the surface. This method can be easily adapted to mesh multi-patches surfaces, i.e., containing corner singularities and sharp features. We present examples of remeshed surfaces from implicit functions and CAD models.

Appeared in

  • New Challenges in Grid Generation and Adaptivity for Scientific Computing, S. Perotto, L. Formaggia, eds., vol. 5 of SEMA SIMAI Springer Series, Springer International Publishing, Cham, 2015, pp. 19--41

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