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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…
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…
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…
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…
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…