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We consider a class of (possibly strongly) geodesically convex optimization problems on Hadamard manifolds, where the objective function splits into the sum of a smooth and a possibly nonsmooth function. We introduce an intrinsic convex…

Optimization and Control · Mathematics 2025-07-23 Ronny Bergmann , Hajg Jasa , Paula John , Max Pfeffer

Differentiable simulators promise to improve sample efficiency in robot learning by providing analytic gradients of the system dynamics. Yet, their application to contact-rich tasks like locomotion is complicated by the inherently…

Multi-physics simulations play a crucial role in understanding complex systems. However, their computational demands are often prohibitive due to high dimensionality and complex interactions, such that actual calculations often rely on…

Computational Physics · Physics 2024-02-27 Stefan Meinecke , Malte Selig , Felix Köster , Andreas Knorr , Kathy Lüdge

Collision detection plays an important role in simulation, control, and learning for robotic systems. However, no existing method is differentiable with respect to the configurations of the objects, greatly limiting the sort of algorithms…

Robotics · Computer Science 2022-07-04 Kevin Tracy , Taylor A. Howell , Zachary Manchester

Soft lubricated contacts exhibit complex interfacial behaviours governed by the coupled effects of multiscale surface roughness and non-linear fluid-solid interactions. Accurately capturing this interplay across thin-film flows is…

Soft Condensed Matter · Physics 2025-11-12 Qian Wang , Suhaib Ardah , Tom Reddyhoff , Daniele Dini

We present a novel method to compute the approximate global penetration depth (PD) between two non-convex geometric models. Our approach consists of two phases: offline precomputation and run-time queries. In the first phase, our…

Robotics · Computer Science 2015-11-16 Liang He , Jia Pan , Danwei Li , Dinesh Manocha

In this paper, we analyze the effects of contact models on contact-implicit trajectory optimization for manipulation. We consider three different approaches: (1) a contact model that is based on complementarity constraints, (2) a smooth…

Robotics · Computer Science 2019-01-31 Aykut Ozgun Onol , Philip Long , Taskin Padir

Optimal control approaches in combination with trajectory optimization have recently proven to be a promising control strategy for legged robots. Computationally efficient and robust algorithms were derived using simplified models of the…

Robotics · Computer Science 2016-12-28 Alexander Herzog , Stefan Schaal , Ludovic Righetti

The small size, high dexterity, and intrinsic compliance of continuum robots (CRs) make them well suited for constrained environments. Solving the inverse kinematics (IK), that is finding robot joint configurations that satisfy desired…

Robotics · Computer Science 2023-06-26 Hanna Jiamei Zhang , Matthew Giamou , Filip Marić , Jonathan Kelly , Jessica Burgner-Kahrs

To achieve general-purpose dexterous manipulation, robots must rapidly devise and execute contact-rich behaviors. Existing model-based controllers are incapable of globally optimizing in real-time over the exponential number of possible…

Robotics · Computer Science 2026-05-18 Sharanya Venkatesh , Bibit Bianchini , Alp Aydinoglu , William Yang , Michael Posa

Verifying the correct behavior of robots in contact tasks is challenging due to model uncertainties associated with contacts. Standard methods for testing often fall short since all (uncountable many) solutions cannot be obtained. Instead,…

Robotics · Computer Science 2023-11-28 Chencheng Tang , Matthias Althoff

Cloth simulation has wide applications in computer animation, garment design, and robot-assisted dressing. This work presents a differentiable cloth simulator whose additional gradient information facilitates cloth-related applications. Our…

Graphics · Computer Science 2022-07-19 Yifei Li , Tao Du , Kui Wu , Jie Xu , Wojciech Matusik

This paper proposes an original adaptive refinement framework using Radial Basis Functions-generated Finite Differences method. Node distributions are generated with a Poisson Disk Sampling-based algorithm from a given continuous density…

Numerical Analysis · Mathematics 2020-05-12 Jure Slak , Gregor Kosec

Providing dry solid contacts with on-demand macroscale frictional behaviour remains a formidable challenge in tribology, haptics or robotics. Metainterfaces created from surfaces with engineered asperity-based topographies can achieve such…

Classical Physics · Physics 2026-05-20 Li Fu , Djibril Gabriel Kashala , D. Dalmas , J Scheibert

We provide a general framework to construct finite dimensional approximations of the space of convex functions, which also applies to the space of c-convex functions and to the space of support functions of convex bodies. We give estimates…

Numerical Analysis · Mathematics 2014-03-11 Quentin Mérigot , Edouard Oudet

We present an efficient, accurate, and robust method for simulation of dense suspensions of deformable and rigid particles immersed in Stokesian fluid in two dimensions. We use a well-established boundary integral formulation for the…

Numerical Analysis · Mathematics 2017-08-23 Libin Lu , Abtin Rahimian , Denis Zorin

A new continuous contact force model for contacting problems with regular or irregular contacting surfaces and energy dissipations in multibody systems is presented and discussed in this work. The model is developed according to Hertz law…

Classical Physics · Physics 2020-01-07 Jie Zhang , Wenhao Li , Lei Zhao , Guangping He

In this work, we address the limitation of surface fitting-based grasp planning algorithm, which primarily focuses on geometric alignment between the gripper and object surface while overlooking the stability of contact point distribution,…

In this work, we propose a trajectory generation method for robotic systems with contact force constraint based on optimal control and reachability analysis. Normally, the dynamics and constraints of the contact-constrained robot are…

Robotics · Computer Science 2019-03-28 Jaemin Lee , Efstathios Bakolas , Luis Sentis

Modeling contact between deformable solids is a fundamental problem in computer animation, mechanical design, and robotics. Existing methods based on $C^0$-discretizations -- piece-wise linear or polynomial surfaces -- suffer from…

Graphics · Computer Science 2023-08-04 Yinwei Du , Yue Li , Stelian Coros , Bernhard Thomaszewski