81 citations · 329 across the 35 of their papers we have counts for
19 papers · 1 filter
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…
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…
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…
Force-Dual Modes: Subspace Design from Stochastic Forces
Otman Benchekroun, Eitan Grinspun, Maurizio Chiaramonte +1
Designing subspaces for Reduced Order Modeling (ROM) is crucial for accelerating finite element simulations in graphics and engineering. Unfortunately, it's not always clear which…
Precise Gradient Discontinuities in Neural Fields for Subspace Physics
Mengfei Liu, Yue Chang, Zhecheng Wang +2
Discontinuities in spatial derivatives appear in a wide range of physical systems, from creased thin sheets to materials with sharp stiffness transitions. Accurately modeling these…
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…
Lifting the Winding Number: Precise Discontinuities in Neural Fields for Physics Simulation
Yue Chang, Mengfei Liu, Zhecheng Wang +2
Cutting thin-walled deformable structures is common in daily life, but poses significant challenges for simulation due to the introduced spatial discontinuities. Traditional method…
Shape Space Spectra
Yue Chang, Otman Benchekroun, Maurizio M. Chiaramonte +2
Eigenanalysis of differential operators, such as the Laplace operator or elastic energy Hessian, is typically restricted to a single shape and its discretization, limiting reduced…
Actuators À La Mode: Modal Actuations for Soft Body Locomotion
Otman Benchekroun, Kaixiang Xie, Hsueh-Ti Derek Liu +3
Traditional character animation specializes in characters with a rigidly articulated skeleton and a bipedal/quadripedal morphology. This assumption simplifies many aspects for desi…
Subspace Mixed-FEM for Real-Time Heterogeneous Elastodynamics
Ty Trusty, Otman Benchekroun, Eitan Grinspun +2
We propose a reduced space mixed finite element method (MFEM) built on a Skinning Eigenmode subspace and material-aware cubature scheme. Our solver is well-suited for simulating sc…
Neural Stress Fields for Reduced-order Elastoplasticity and Fracture
Zeshun Zong, Xuan Li, Minchen Li +6
We propose a hybrid neural network and physics framework for reduced-order modeling of elastoplasticity and fracture. State-of-the-art scientific computing models like the Material…
LiCROM: Linear-Subspace Continuous Reduced Order Modeling with Neural Fields
Yue Chang, Peter Yichen Chen, Zhecheng Wang +3
Linear reduced-order modeling (ROM) simplifies complex simulations by approximating the behavior of a system using a simplified kinematic representation. Typically, ROM is trained…
Fast Complementary Dynamics via Skinning Eigenmodes
Otman Benchekroun, Jiayi Eris Zhang, Siddhartha Chaudhuri +3
We propose a reduced-space elasto-dynamic solver that is well suited for augmenting rigged character animations with secondary motion. At the core of our method is a novel deformat…
Addressing Troubles with Double Bubbles: Convergence and Stability at Multi-Bubble Junctions
Yun Fei, Christopher Batty, Eitan Grinspun
In this report we discuss and propose a correction to a convergence and stability issue occurring in the work of Da et al.[2015], in which they proposed a numerical model to simula…
A Smoothness Energy without Boundary Distortion for Curved Surfaces
Oded Stein, Alec Jacobson, Max Wardetzky +1
Current quadratic smoothness energies for curved surfaces either exhibit distortions near the boundary due to zero Neumann boundary conditions, or they do not correctly account for…
Natural Boundary Conditions for Smoothing in Geometry Processing
Oded Stein, Eitan Grinspun, Max Wardetzky +1
In geometry processing, smoothness energies are commonly used to model scattered data interpolation, dense data denoising, and regularization during shape optimization. The squared…
Multimaterial Front Tracking
Fang Da, Christopher Batty, Eitan Grinspun
We present the first triangle mesh-based technique for tracking the evolution of general three-dimensional multimaterial interfaces undergoing complex topology changes induced by d…