Gaussian-Informed Continuum for Physical Property Identification and Simulation

1The Hong Kong University of Science and Technology, 2Sun Yat-sen University, 3Alibaba Group *Equal contribution, order determined by coin toss.
Corresponding author
Accepted at Conference on Neural Information Processing Systems, 2024 (Oral)
Interpolate start reference image.

Abstract

This paper studies the problem of estimating physical properties (system identification) through visual observations. To facilitate geometry-aware guidance in physical property estimation, we introduce a novel hybrid framework that leverages 3D Gaussian representation to not only capture explicit shapes but also enable the simulated continuum to deduce implicit shapes during training. We propose a new dynamic 3D Gaussian framework based on motion factorization to recover the object as 3D Gaussian point sets across different time states. Furthermore, we develop a coarse-to-fine filling strategy to generate the density fields of the object from the Gaussian reconstruction, allowing for the extraction of object continuums along with their surfaces and the integration of Gaussian attributes into these continuums. In addition to the extracted object surfaces, the Gaussian-informed continuum also enables the rendering of object masks during simulations, serving as implicit shape guidance for physical property estimation. Extensive experimental evaluations demonstrate that our pipeline achieves state-of-the-art performance across multiple benchmarks and metrics. Additionally, we illustrate the effectiveness of the proposed method through real-world demonstrations, showcasing its practical utility. The code of our method will be made public.

Reconstruction & Simulatable Digital Assets

Not only can you reconstruct and predict, but you can also modify most of the physical parameters—such as density, gravity, and Young's modulus—to satisfy your creative needs. Some demos are shown as follows. Have fun!

Torus

Ground truth
Reconstruction and prediction
Softening
Rondom initial velocity

Bird

Ground truth
Reconstruction and prediction
Hardening
Zero gravity

Cat

Ground truth
Reconstruction and prediction
Liquid cat
Liquid cat from other view

Playdoh

Ground truth
Reconstruction and prediction
Elastic playdoh
Liquid playdoh

Trophy

Ground truth
Reconstruction and prediction
More loose
Rotation

Droplet

Ground truth
Reconstruction and prediction
More viscous
Change boundary condition

Cream

Ground truth
Reconstruction and prediction
Liquid cream
Plasticine cream

Toothpaste

Ground truth
Reconstruction and prediction
Elastic toothpaste
Plasticine toothpaste

Digital twin

Reconstruct the geometric shape and identify the physical parameters, then manipulate the object in both the virtual and real worlds, respectively.

BibTeX

@article{cai2024gaussian,
      title={Gaussian-Informed Continuum for Physical Property Identification and Simulation},
      author={Cai, Junhao and Yang, Yuji and Yuan, Weihao and He, Yisheng and Dong, Zilong and Bo, Liefeng and Cheng, Hui and Chen, Qifeng},
      journal={Advances in Neural Information Processing Systems},
      year={2024}
  }