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Title: Field-Aligned and Lattice-Guided Tetrahedral Meshing
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.  more » « less
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Author(s) / Creator(s):
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Date Published:
Journal Name:
Computer graphics forum
Page Range / eLocation ID:
161 - 172
Medium: X
Sponsoring Org:
National Science Foundation
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