Mesh quality improvement with mean edge lengths preservation

The mmg3d application allows to improve the quality of an input mesh while keeping the mean edge lenghts of the mesh.

We consider the initial cube mesh displayed figure 1 and named cube.mesh. This mesh is provided without any associated sizemap.

Figure 1: Initial cube mesh

Figure 1: Initial cube mesh

To improve your mesh quality while keeping the mean edge sizes, you just need to run the application using the -optim option.

mmg3d_O3 -optim cube.mesh -out optimMesh.mesh

We obtain a mesh named optimMesh.mesh and the size map computed to preserve the edge sizes (see figure 2). This sizemap is saved in the optimMesh.sol file.

cube_optim_optim

Figure 2: Final cube mesh using the -optim option and computed size map.

Remark:

By default, the Mmg applications try to coarsen the mesh with respect to:

  • the geometric approximation
  • the gradation control value
  • the minimal and maximal edge sizes if specified by the user

For example, starting from our initial cube mesh, we run the application without any arguments:

mmg3d_O3 cube.mesh

We obtain the cube.o.mesh mesh displayed figure 3. As the approximation of the cube boundaries is exact, the remesher can coarse the mesh.

cube_optim_default

Figure 3: Default output mesh.

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