Wassersplines for Neural Vector Field–Controlled Animation

Zhang, Paul, Dmitriy Smirnov, Justin Solomon Much of computer-generated animation is created by manipulating meshes with rigs. While this approach works well for animating articulated objects like animals, it has limited flexibility for animating less structured free-form objects. We introduce Wassersplines, a novel trajectory inference method for animating unstructured densities based on recent advances in […]

Stability Analysis of Explicit MPM

Song Bai, Craig Schroeder In this paper we analyze the stability of the explicit material point method (MPM). We focus on PIC, APIC, and CPIC transfers using quadratic and cubic splines in two and three dimensions. We perform a fully three-dimensional Von Neumann stability analysis to study the behavior within the bulk of a material. […]

Fast Numerical Coarsening with Local Factorizations

Zhongyun He, Jesús Pérez, Miguel A. Otaduy Numerical coarsening methods offer an attractive methodology for fast simulation of objects with high-resolution heterogeneity. However, they rely heavily on preprocessing, and are not suitable when objects undergo dynamic material or topology updates. We present methods that largely accelerate the two main processes of numerical coarsening, namely training […]