We developed an innovative way to compute cross fields in order to spawn points which are consistent with a square grid. The mathematical background is built step by step to highlight the meaningful use of Ginzburg-Landau functional. An interesting result is obtained over the sphere: the anti-cube. The computation is extended to asterisk fields for equilateral triangular grid.
- The paper has been pubPaper on Wiley Online Librarylished in Elsevier – Procedia Engineering (Volume 203, 201, Pages 219-231).
- The C code will soon be available in Gmsh.
- This study has been funded by the ARC WAVES 15/19-03.
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Beaufort, Pierre-Alexandre et al. « Computing cross fields A PDE approach based on the Ginzburg-Landau theory », Procedia Engineering, vol. 203, 2017, p. 219‑31. <https://doi.org/10.1016/j.proeng.2017.09.799>.