Ni, SaifengZhong, ZichunHuang, JinWang, WenpingGuo, XiaohuJu, Tao and Vaxman, Amir2018-07-272018-07-2720181467-8659https://doi.org/10.1111/cgf.13499https://diglib.eg.org:443/handle/10.1111/cgf13499We present a particle-based approach to generate field-aligned tetrahedral meshes, guided by cubic lattices, including BCC and FCC lattices. Given a volumetric domain with an input frame field and a user-specified edge length for the cubic lattice, we optimize a set of particles to form the desired lattice pattern. A Gaussian Hole Kernel associated with each particle is constructed. Minimizing the sum of kernels of all particles encourages the particles to form a desired layout, e.g., field-aligned BCC and FCC. The resulting set of particles can be connected to yield a high quality field-aligned tetrahedral mesh. As demonstrated by experiments and comparisons, the field-aligned and lattice-guided approach can produce higher quality isotropic and anisotropic tetrahedral meshes than state-of-the-art meshing methods.10.1111/cgf.13499161-172