# A Differentiable Material Point Method Framework for Shape Morphing

arXiv: https://arxiv.org/abs/2409.15746 · HTML: https://mlsanity.com/paper/2409.15746/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 24 Sep 2024.

## Built on by (most cited first, 1 of 1)

- [On the Structural Failure of Chamfer Distance in 3D Shape Optimization](https://mlsanity.com/paper/2603.09925/) (2026)

## Abstract (arXiv)

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.