Surface simplification using intrinsic error metrics

HTD Liu, M Gillespie, B Chislett, N Sharp… - ACM Transactions on …, 2023 - par.nsf.gov
This paper describes a method for fast simplification of surface meshes. Whereas past
methods focus on visual appearance, our goal is to solve equations on the surface. Hence …

Multiscale Cholesky preconditioning for ill-conditioned problems

J Chen, F Schäfer, J Huang, M Desbrun - ACM Transactions on Graphics …, 2021 - dl.acm.org
Many computer graphics applications boil down to solving sparse systems of linear
equations. While the current arsenal of numerical solvers available in various specialized …

Spectral mesh simplification

T Lescoat, HTD Liu, JM Thiery… - Computer Graphics …, 2020 - Wiley Online Library
The spectrum of the Laplace‐Beltrami operator is instrumental for a number of geometric
modeling applications, from processing to analysis. Recently, multiple methods were …

Complementary dynamics

JE Zhang, S Bang, DIW Levin, A Jacobson - arXiv preprint arXiv …, 2020 - arxiv.org
We present a novel approach to enrich arbitrary rig animations with elastodynamic
secondary effects. Unlike previous methods which pit rig displacements and physical forces …

MiNNIE: a Mixed Multigrid Method for Real-time Simulation of Nonlinear Near-Incompressible Elastics

L Ruan, B Wang, T Liu, B Chen - ACM Transactions on Graphics (TOG), 2024 - dl.acm.org
We propose MiNNIE, a simple yet comprehensive framework for real-time simulation of
nonlinear near-incompressible elastics. To avoid the common volumetric locking issues at …

Chordal decomposition for spectral coarsening

H Chen, HTD Liu, A Jacobson, DIW Levin - arXiv preprint arXiv …, 2020 - arxiv.org
We introduce a novel solver to significantly reduce the size of a geometric operator while
preserving its spectral properties at the lowest frequencies. We use chordal decomposition …

Higher-order finite elements for embedded simulation

A Longva, F Löschner, T Kugelstadt… - ACM Transactions on …, 2020 - dl.acm.org
As demands for high-fidelity physics-based animations increase, the need for accurate
methods for simulating deformable solids grows. While higherorder finite elements are …

Voronoi Filters for Simulation Enrichment

JJ Casafranca, MA Otaduy - Computer Graphics Forum, 2022 - Wiley Online Library
The simulation of complex deformation problems often requires enrichment techniques that
introduce local high‐resolution detail on a generally coarse discretization. The use cases …

Numerical Coarsening with Neural Shape Functions

N Ni, Q Xu, Z Li, XM Fu, L Liu - Computer Graphics Forum, 2023 - Wiley Online Library
We propose to use nonlinear shape functions represented as neural networks in numerical
coarsening to achieve generalization capability as well as good accuracy. To overcome the …

Iterated numerical homogenization for multiscale elliptic equations with monotone nonlinearity

X Liu, E Chung, L Zhang - Multiscale Modeling & Simulation, 2021 - SIAM
Nonlinear multiscale problems are ubiquitous in materials science and biology. Complicated
interactions between nonlinearities and (nonseparable) multiple scales pose a major …