5 papers
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…
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…
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…
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…