73 citations · 151 across the 25 of their papers we have counts for
26 papers
Elastic Curves via Geometric Mechanics
Oliver Gross, Rohit Jammula, Albert Chern
Elastic curves are the mathematical shapes of thin elastic rods in equilibrium, with deep connections to mechanics, geometry, and computer graphics. Traditionally described as stat…
Vakonomic Fluids
Ritoban Roy-Chowdhury, Mohammad Sina Nabizadeh, Oliver Gross +2
We introduce a novel discretization of the incompressible Euler equations based on their interpretation as geodesic equations on the Lie group of volume-preserving diffeomorphisms.…
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…
L'Hopital rules for complex-valued functions in higher dimensions
Albert Chern, Sadashige Ishida
In calculus, l'Hopital's rule provides a simple way to evaluate the limits of quotient functions when both the numerator and denominator vanish. But what happens when we move beyon…
Implicit representations of codimension-2 submanifolds and their prequantum structure
Albert Chern, Sadashige Ishida
This paper explores the geometry of the space of codimension-2 submanifolds. We implicitly represent these submanifolds by a class of complex-valued functions. We show that the spa…