SIGGRAPH: G: Improved Projective Dynamics Global Using Snapshots-based Reduced Bases

TL;DR

This paper introduces a snapshots-based reduction method for physics simulations that enhances stability, efficiency, and realism, especially for large deformations and rotations, using minimal prior data.

Contribution

It presents a novel snapshots-based approach to compute reduction subspaces applicable to mesh simulations with limited prior knowledge, improving over existing methods.

Findings

Achieves more stable numerical simulations

Reduces computational costs

Produces more realistic large deformation motions

Abstract

We propose a snapshots-based method to compute reduction subspaces for physics-based simulations. Our method is applicable to any mesh with some artistic prior knowledge of the solution and only requires a record of existing solutions during, for instance, the range-of-motion test that is required before approving a mesh character for an application. Our subspaces span a wider range of motion, especially large deformations, and rotations by default. Compared to the state-of-the-art, we achieve improved numerical stability, computational efficiency, and more realistic simulations with a smaller sub-space.