12 papers · 1 filter
Low-Rank Koopman Deformables with Log-Linear Time Integration
Yue Chang, Peter Yichen Chen, Eitan Grinspun +1
We present a low-rank Koopman operator formulation for accelerating deformable subspace simulation. Using a Dynamic Mode Decomposition (DMD) parameterization of the Koopman operato…
The Configurational Element Method for Nonconvex Granular Media
Zhecheng Wang, Breannan Smith, Abhishek Madan +1
Granular media surround us, comprising everything from the ground we walk on to the foods we eat. Owing to their ubiquity our ability to understand and predict the mechanical evolu…
Variational Green's Functions for Volumetric PDEs
Joao Teixeira, Eitan Grinspun, Otman Benchekroun
Green's functions characterize the fundamental solutions of partial differential equations; they are essential for tasks ranging from shape analysis to physical simulation, yet the…
Odd-DC: Generalizable Neural Model Reduction via Odd Difference-of-Convex Structure
Shixun Huang, Eitan Grinspun, Yue Chang
Model reduction is essential for real-time simulation of deformable objects. Linear techniques such as PCA provide structured and predictable behavior, but their limited expressive…
MorphModes: Non-rigid Registration via Adaptive Skinning Eigenmodes
Gabrielle Browne, Mengfei Liu, Eitan Grinspun +1
Non-rigid registration is a crucial task with applications in medical imaging, industrial robotics, computer vision, and entertainment. Standard approaches accomplish this task usi…
Fast Subspace Fluid Simulation with a Temporally-Aware Basis
Siyuan Chen, Yixin Chen, Jonathan Panuelos +4
We present a novel reduced-order fluid simulation technique leveraging Dynamic Mode Decomposition (DMD) to achieve fast, memory-efficient, and user-controllable subspace simulation…