73 citations · 151 across the 25 of their papers we have counts for
5 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…
Convex Quadratic Distance Field Computation
Yue Ruan, Albert Chern, Tzu-Mao Li +2
Methods for computing distances from sources on discrete meshes commonly either compute geodesics directly on polyhedral surfaces or approximate the distance in a finite-element fr…
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…
Hidden Degrees of Freedom in Implicit Vortex Filaments
Sadashige Ishida, Chris Wojtan, Albert Chern
This paper presents a new representation of curve dynamics, with applications to vortex filaments in fluid dynamics. Instead of representing these filaments with explicit curve geo…