4 papers · 1 filter
Neural Representation of Minimal Surfaces
Jiayin Sun, Albert Chern
We propose a neural representation for minimal surfaces. Unlike prior approaches based on discretization or Physics-Informed Neural Networks (PINNs), where meshes or neural fields…
Quadratic-Order Geodesics on Meshes
Yue Ruan, Albert Chern, Tzu-Mao Li +2
We introduce a novel representation and optimization framework for discrete geodesics on triangle meshes that reduces artifacts of linear methods on uneven and coarse discretizatio…
Fluid Implicit Particles on Coadjoint Orbits
Mohammad Sina Nabizadeh, Ritoban Roy-Chowdhury, Hang Yin +2
We propose Coadjoint Orbit FLIP (CO-FLIP), a high order accurate, structure preserving fluid simulation method in the hybrid Eulerian-Lagrangian framework. We start with a Hamilton…
Lifting Directional Fields to Minimal Sections
David Palmer, Albert Chern, Justin Solomon
Directional fields, including unit vector, line, and cross fields, are essential tools in the geometry processing toolkit. The topology of directional fields is characterized by th…