Direct multiphase mesh generation from 3D images using anisotropic mesh adaptation and a redistancing equation

Jia-Xin Zhao (1) , Coupez Thierry (2) , Etienne Decencière (3) , Dominique Jeulin (3) , David Cárdenas-Peña (4) , Luisa Silva (2)

1 CEMEF - Centre de Mise en Forme des Matériaux
2 ICI - Institut de Calcul Intensif
3 CMM - Centre de Morphologie Mathématique
4 UNAL - Universidad Nacional de Colombia [Bogotà]

In this paper, a new methodology to build automatically 3D adapted meshes, ready for numerical simulations and directly from images, is proposed. It is based on the Immersed Image Method, which interpolates the image information on an initial mesh and combines it with parallel automatic anisotropic mesh adaptation with a control of the number of mesh nodes. Simultaneously, a smooth redistancing technique, based on the resolution of a Hamilton–Jacobi equation, is developed to produce phase functions for the objects to be detected in the image. The proposed methodology is applied on mesh generation and in multiphase flow computations based on 2D and 3D images.

Mots clés: Finite element method; Anisotropic mesh adaptation; Image segmentation; Redistancing; Magnetic resonance images

Domaines: Sciences de l'ingénieur [physics]; Traitement des images [eess.IV]

Jia-Xin Zhao, Coupez Thierry, Etienne Decencière, Dominique Jeulin, David Cárdenas-Peña, et al.. Direct multiphase mesh generation from 3D images using anisotropic mesh adaptation and a redistancing equation. Computer Methods in Applied Mechanics and Engineering, 2016, 309, pp.288-306. ⟨hal-01421353⟩