6 papers
A Sharp Conservative Offset for Marching Cubes
Alec Jacobson
Given a grid-sampled 1-Lipschitz function (such as a signed distance function) sampled on a regular grid, we determine the sharp infimum $σ_…
Mesh Processing Non-Meshes via Neural Displacement Fields
Yuta Noma, Zhecheng Wang, Chenxi Liu +2
Mesh processing pipelines are mature, but adapting them to newer non-mesh surface representations -- which enable fast rendering with compact file size -- requires costly meshing o…
Trust-Region Eigenvalue Filtering for Projected Newton
Honglin Chen, Hsueh-Ti Derek Liu, Alec Jacobson +2
We introduce a novel adaptive eigenvalue filtering strategy to stabilize and accelerate the optimization of Neo-Hookean energy and its variants under the Projected Newton framework…
Stabler Neo-Hookean Simulation: Absolute Eigenvalue Filtering for Projected Newton
Honglin Chen, Hsueh-Ti Derek Liu, David I. W. Levin +2
Volume-preserving hyperelastic materials are widely used to model near-incompressible materials such as rubber and soft tissues. However, the numerical simulation of volume-preserv…
Cascading upper bounds for triangle soup Pompeiu-Hausdorff distance
Leonardo Sacht, Alec Jacobson
We propose a new method to accurately approximate the Pompeiu-Hausdorff distance from a triangle soup A to another triangle soup B up to a given tolerance. Based on lower and upper…
Optimized Dual-Volumes for Tetrahedral Meshes
Alec Jacobson
Constructing well-behaved Laplacian and mass matrices is essential for tetrahedral mesh processing. Unfortunately, the \emph{de facto} standard linear finite elements exhibit bias…