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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…
OptCtrlPoints: Finding the Optimal Control Points for Biharmonic 3D Shape Deformation
Kunho Kim, Mikaela Angelina Uy, Despoina Paschalidou +3
We propose OptCtrlPoints, a data-driven framework designed to identify the optimal sparse set of control points for reproducing target shapes using biharmonic 3D shape deformation.…
Neural Stochastic Screened Poisson Reconstruction
Silvia Sellán, Alec Jacobson
Reconstructing a surface from a point cloud is an underdetermined problem. We use a neural network to study and quantify this reconstruction uncertainty under a Poisson smoothness…
Data-Free Learning of Reduced-Order Kinematics
Nicholas Sharp, Cristian Romero, Alec Jacobson +4
Physical systems ranging from elastic bodies to kinematic linkages are defined on high-dimensional configuration spaces, yet their typical low-energy configurations are concentrate…