Field‐Aligned and Lattice‐Guided Tetrahedral Meshing. (8th August 2018)

• Record Type: Journal Article
• Authors: Ni, Saifeng; Zhong, Zichun; Huang, Jin; Wang, Wenping; Guo, Xiaohu
• Is Part Of: Computer graphics forum. Volume 37:Number 5(2018)
• Page Start: 161
• Page End: 172
• Publication Date: 2018-08-08
• Subjects: Computer graphics -- Periodicals; 006.605
• DOI: 10.1111/cgf.13499
• Languages: English
• ISSNs: 0167-7055

Abstract

Abstract: We 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.