In this article, we provide a detailed survey of techniques for hexahedral mesh generation.
We cover the whole spectrum of alternative approaches to mesh generation, as well as post …

Inspired by natural cellular materials such as trabecular bone, lattice structures have been
developed as a new type of lightweight material. In this paper we present a novel method to …

Direction fields and vector fields play an increasingly important role in computer graphics
and geometry processing. The synthesis of directional fields on surfaces, or other spatial …

Multi-axis motion introduces more degrees of freedom into the process of 3D printing to
enable different objectives of fabrication by accumulating materials layers upon curved …

We review the computation of 3D geometric data mapping, which establishes one-to-one
correspondence between or among spatial/spatiotemporal objects. Effective mapping …

Decomposing a volume into high-quality hexahedral cells is a challenging task in geometric
modeling and computational geometry. Inspired by the use of cross field in quad meshing …

We introduce a novel neural network-based computational pipeline as a representation-
agnostic slicer for multi-axis 3D printing. This advanced slicer can work on models with …

Singularity-Constrained Octahedral Fields for Hexahedral Meshing Page 1 Heng Liu, RWTH
Aachen University Paul Zhang, MIT Edward Chien, MIT Justin Solomon, MIT David Bommes …

Polycube maps of triangle meshes have proved useful in a wide range of applications,
including texture mapping and hexahedral mesh generation. However, constructing either …

Developments in the field of parametrization-based quad mesh generation on surfaces have
been impactful over the past decade. In this context, an important advance has been the …