A Differentiable Material Point Method Framework for Shape Morphing

TL;DR

This paper introduces a differentiable material point method framework enabling complex elastic shape morphing with topology changes, optimized through iterative techniques for coherent and detailed transformations.

Contribution

It presents a novel physics-based, differentiable MPM approach for elastic shape morphing that handles topology changes and produces coherent sequences.

Findings

Successfully handles complex topology changes.

Produces detailed and coherent shape morphing sequences.

Demonstrates effectiveness across challenging scenarios.

Abstract

We present a novel, physically-based morphing technique for elastic shapes, leveraging the differentiable material point method (MPM) with space-time control through per-particle deformation gradients to accommodate complex topology changes. This approach, grounded in MPM's natural handling of dynamic topologies, is enhanced by a chained iterative optimization technique, allowing for the creation of both succinct and extended morphing sequences that maintain coherence over time. Demonstrated across various challenging scenarios, our method is able to produce detailed elastic deformation and topology transitions, all grounded within our physics-based simulation framework.