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We present Jade, a differentiable physics engine for articulated rigid bodies. Jade models contacts as the Linear Complementarity Problem (LCP). Compared to existing differentiable simulations, Jade offers features including…

Robotics · Computer Science 2023-09-12 Gang Yang , Siyuan Luo , Lin Shao

We present a differentiable dynamics solver that is able to handle frictional contact for rigid and deformable objects within a unified framework. Through a principled mollification of normal and tangential contact forces, our method…

We present a framework for the simulation of rigid and deformable bodies in the presence of contact and friction. Our method is based on a non-smooth Newton iteration that solves the underlying nonlinear complementarity problems (NCPs)…

In recent years, an increasing amount of work has focused on differentiable physics simulation and has produced a set of open source projects such as Tiny Differentiable Simulator, Nimble Physics, diffTaichi, Brax, Warp, Dojo and DiffCoSim.…

Machine Learning · Computer Science 2022-07-13 Yaofeng Desmond Zhong , Jiequn Han , Georgia Olympia Brikis

The incorporation of appropriate inductive bias plays a critical role in learning dynamics from data. A growing body of work has been exploring ways to enforce energy conservation in the learned dynamics by encoding Lagrangian or…

Robotics · Computer Science 2021-11-15 Yaofeng Desmond Zhong , Biswadip Dey , Amit Chakraborty

Whether rigid or compliant, contact interactions are inherent to robot motions, enabling them to move or manipulate things. Contact interactions result from complex physical phenomena, that can be mathematically cast as Nonlinear…

Robotics · Computer Science 2024-05-28 Justin Carpentier , Louis Montaut , Quentin Le Lidec

Differentiable simulation establishes the mathematical foundation for solving challenging inverse problems in computer graphics and robotics, such as physical system identification and inverse dynamics control. However, rigor in frictional…

Graphics · Computer Science 2026-05-19 Ziqiu Zeng , Gang Yang , Zhenhao Huang , Bingyang Zhou , Yulin Li , Jason Pho , Siyuan Luo , Fan Shi

Differentiable physics is a powerful tool in computer vision and robotics for scene understanding and reasoning about interactions. Existing approaches have frequently been limited to objects with simple shape or shapes that are known in…

Computer Vision and Pattern Recognition · Computer Science 2022-01-11 Michael Strecke , Joerg Stueckler

This technical report provides an in-depth evaluation of both established and state-of-the-art methods for simulating constrained rigid multi-body systems with hard-contact dynamics, using formulations of Nonlinear Complementarity Problems…

Robotics · Computer Science 2025-04-29 Vassilios Tsounis , Ruben Grandia , Moritz Bächer

Differentiable simulators provide an avenue for closing the sim-to-real gap by enabling the use of efficient, gradient-based optimization algorithms to find the simulation parameters that best fit the observed sensor readings. Nonetheless,…

Robotics · Computer Science 2021-05-21 Eric Heiden , David Millard , Erwin Coumans , Yizhou Sheng , Gaurav S. Sukhatme

We present a framework for generating convex approximations of complex contact models, incorporating experimentally validated models like Hunt & Crossley coupled with Coulomb's law of friction alongside the principle of maximum dissipation.…

Robotics · Computer Science 2025-07-16 Alejandro Castro , Xuchen Han , Joseph Masterjohn

We present the numerical methods and GPU-accelerated implementation underlying a Total Lagrangian finite element framework for finite-deformation flexible multibody dynamics, introduced in the companion paper [1]. The framework supports…

Computational Engineering, Finance, and Science · Computer Science 2026-05-04 Zhenhao Zhou , Ruochun Zhang , Ganesh Arivoli , Dan Negrut

Simulation of contact and friction dynamics is an important basis for control- and learning-based algorithms. However, the numerical difficulties of contact interactions pose a challenge for robust and efficient simulators. A…

Robotics · Computer Science 2021-09-16 Jan Brüdigam , Jana Janeva , Stefan Sosnowski , Sandra Hirche

Differentiable contact kinematics are essential for gradient-based methods in robotics, yet the mapping from robot state to contact distance, location, and normal becomes non-smooth in degenerate configurations of shapes with zero or…

Robotics · Computer Science 2026-02-04 Anup Teejo Mathew , Anees Peringal , Daniele Caradonna , Frederic Boyer , Federico Renda

We present a method for efficient differentiable simulation of articulated bodies. This enables integration of articulated body dynamics into deep learning frameworks, and gradient-based optimization of neural networks that operate on…

Machine Learning · Computer Science 2021-09-17 Yi-Ling Qiao , Junbang Liang , Vladlen Koltun , Ming C. Lin

With the maturation of differentiable physics, its role in various downstream applications: such as model predictive control, robotic design optimization, and neural PDE solvers, has become increasingly important. However, the derivative…

Robotics · Computer Science 2025-09-26 Xiaohan Ye , Kui Wu , Zherong Pan , Taku Komura

Deep learning-based garment draping has emerged as a promising alternative to traditional Physics-Based Simulation (PBS), yet robust collision handling remains a critical bottleneck. Most existing methods enforce physical validity through…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Minghai Chen , Mingyuan Liu , Ning Ma , Jianqing Li , Yuxiang Huan

The multi-contact nonlinear complementarity problem (NCP) is a naturally arising challenge in robotic simulations. Achieving high performance in terms of both accuracy and efficiency remains a significant challenge, particularly in…

Robotics · Computer Science 2025-02-25 Jeongmin Lee , Minji Lee , Sunkyung Park , Jinhee Yun , Dongjun Lee

Accurately modeling contact behaviors for real-world, near-rigid materials remains a grand challenge for existing rigid-body physics simulators. This paper introduces a data-augmented contact model that incorporates analytical solutions…

Robotics · Computer Science 2022-06-23 Yifeng Jiang , Jiazheng Sun , C. Karen Liu

Generating intelligent robot behavior in contact-rich settings is a research problem where zeroth-order methods currently prevail. A major contributor to the success of such methods is their robustness in the face of non-smooth and…

Robotics · Computer Science 2025-04-15 Onur Beker , Nico Gürtler , Ji Shi , A. René Geist , Amirreza Razmjoo , Georg Martius , Sylvain Calinon
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