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We present a continuous-time collision detection algorithm for quickly detecting whether certain polynomial trajectories in time intersect with convex obstacles. The algorithm is used in conjunction with an existing multicopter trajectory…

Robotics · Computer Science 2019-07-22 Nathan Bucki , Mark W. Mueller

Creation of collision objects for 3D models is a time-consuming task, requiring modelers to manually place primitives such as bounding boxes, capsules, spheres, and other convex primitives to approximate complex meshes. While there has been…

Graphics · Computer Science 2026-02-10 Julian Knodt , Xifeng Gao

We present a fast trajectory optimization algorithm for the soft capture of uncooperative tumbling space objects. Our algorithm generates safe, dynamically feasible, and minimum-fuel trajectories for a six-degree-of-freedom servicing…

Robotics · Computer Science 2024-05-03 Ibrahima Sory Sow , Geordan Gutow , Howie Choset , Zachary Manchester

We present a convex formulation of compliant frictional contact and a robust, performant method to solve it in practice. By analytically eliminating contact constraints, we obtain an unconstrained convex problem. Our solver has proven…

Computational Engineering, Finance, and Science · Computer Science 2022-06-24 Alejandro Castro , Frank Permenter , Xuchen Han

This paper presents a novel simulation platform, ZeMa, designed for robotic manipulation tasks concerning soft objects. Such simulation ideally requires three properties: two-way soft-rigid coupling, intersection-free guarantees, and…

Robotics · Computer Science 2023-11-13 Wenxin Du , Siqiong Yao , Xinlei Wang , Yuhang Xu , Wenqiang Xu , Cewu Lu

This paper presents a set of simple and intuitive robot collision detection algorithms that show substantial scaling improvements for high geometric complexity and large numbers of collision queries by leveraging hardware-accelerated ray…

Robotics · Computer Science 2025-09-11 Sizhe Sui , Luis Sentis , Andrew Bylard

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

Contact-implicit trajectory optimization (CITO) enables the automatic discovery of contact sequences, but most methods rely on fine time discretization to capture all contact events accurately, which increases problem size and runtime while…

Robotics · Computer Science 2026-04-14 Samuel C. Buckner , Purnanand Elango

This paper pushes the performance of cloth simulation, making the simulation interactive even for high-resolution garment models while keeping every triangle untangled. The penetration-free guarantee is inspired by the interior point…

Graphics · Computer Science 2024-10-01 Lei Lan , Zixuan Lu , Jingyi Long , Chun Yuan , Xuan Li , Xiaowei He , Huamin Wang , Chenfanfu Jiang , Yin Yang

Accurate frictional contact is critical in simulating the assembly of rod-like structures in the practical world, such as knots, hairs, flagella, and more. Due to their high geometric nonlinearity and elasticity, rod-on-rod contact remains…

Graphics · Computer Science 2024-02-21 Dezhong Tong , Andrew Choi , Jungseock Joo , M. Khalid Jawed

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

A composite quadric model (CQM) is an object modeled by piecewise linear or quadric patches. We study the continuous detection problem of a special type of CQM objects which are commonly used in CAD/CAM, that is, the boundary surfaces of…

Graphics · Computer Science 2013-12-02 Yi-King Choi , Wenping Wang , Bernard Mourrain , Changhe Tu , Xiaohong Jia , Feng Sun

Discrete Collision Detection (DCD) is a fundamental task in several domains including particle-based physics simulations. Efficient DCD uses indexing structures such as Bounding Volume Hierarchy (BVH), but accelerating irregular BVH…

This study explores the capabilities of WebGPU, an emerging web graphics paradigm, for real-time cloth simulation. Traditional WebGL-based methods have been in handling complex physical simulations due to their emphasis on graphics…

Graphics · Computer Science 2025-07-17 Nak-Jun Sung , Jun Ma , TaeHeon Kim , Yoo-joo Choi , Min-Hyung Choi , Min Hong

Finding nearly accurate distance between two or more nearly intersecting three-dimensional (3D) objects is vital especially for collision determination such as in virtual surgeon simulation and real-time car crash simulation. Instead of…

Graphics · Computer Science 2014-10-20 Hamzah Asyrani Sulaiman , Abdullah Bade , Mohd Harun Abdullah

Autonomous robots are increasingly prevalent in our society, emerging in medical care, transportation vehicles, and home assistance. These robots rely on motion planning and collision detection to identify a sequence of movements allowing…

Hardware Architecture · Computer Science 2026-03-03 Lufei Liu , Liwei Xue , Youssef Mohammed , Jocelyn Zhao , Yuan Hsi Chou , Tor M. Aamodt

Stochastic distributed optimization methods that solve an optimization problem over a multi-agent network have played an important role in a variety of large-scale signal processing and machine leaning applications. Among the existing…

Optimization and Control · Mathematics 2023-02-06 Songyang Ge , Tsung-Hui Chang

Contact-implicit motion planning-embedding contact sequencing as implicit complementarity constraints-holds the promise of leveraging continuous optimization to discover new contact patterns online. Nevertheless, the resulting optimization,…

Optimization and Control · Mathematics 2025-04-29 Yulin Li , Haoyu Han , Shucheng Kang , Jun Ma , Heng Yang

In this work, we leverage GPUs to construct probabilistically collision-free convex sets in robot configuration space on the fly. This extends the use of modern motion planning algorithms that leverage such representations to changing…

Robotics · Computer Science 2025-04-16 Peter Werner , Richard Cheng , Tom Stewart , Russ Tedrake , Daniela Rus

This research addresses the challenging problem of visual collision detection in very complex and dynamic real physical scenes, specifically, the vehicle driving scenarios. This research takes inspiration from a large-field looming…

Computer Vision and Pattern Recognition · Computer Science 2019-04-04 Qinbing Fu , Nicola Bellotto , Huatian Wang , F. Claire Rind , Hongxin Wang , Shigang Yue