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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

We introduce a large scale benchmark for continuous collision detection (CCD) algorithms, composed of queries manually constructed to highlight challenging degenerate cases and automatically generated using existing simulators to cover…

Graphics · Computer Science 2021-10-06 Bolun Wang , Zachary Ferguson , Teseo Schneider , Xin Jiang , Marco Attene , Daniele Panozzo

We present a model predictive control (MPC) framework for efficient navigation of mobile robots in cluttered environments. The proposed approach integrates a finite-segment shortest path planner into the finite-horizon trajectory…

Robotics · Computer Science 2026-03-27 Johannes Köhler , Daniel Zhang , Raffaele Soloperto , Andrea Carron , Melanie Zeilinger

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

Navigation and guidance of autonomous vehicles is a fundamental problem in robotics, which has attracted intensive research in recent decades. This report is mainly concerned with provable collision avoidance of multiple autonomous vehicles…

Optimization and Control · Mathematics 2014-01-28 Michael Hoy

We present a model predictive controller (MPC) that automatically discovers collision-free locomotion while simultaneously taking into account the system dynamics, friction constraints, and kinematic limitations. A relaxed barrier function…

Robotics · Computer Science 2021-03-26 Magnus Gaertner , Marko Bjelonic , Farbod Farshidian , Marco Hutter

Collapsing terrains, often present in search and rescue missions or planetary exploration, pose significant challenges for quadruped robots. This paper introduces a robust locomotion framework for safe navigation over unstable surfaces by…

We introduce a large-scale benchmark for broad- and narrow-phase continuous collision detection (CCD) over linearized trajectories with exact time of impacts and use it to evaluate the accuracy, correctness, and efficiency of 13…

Graphics · Computer Science 2025-06-10 David Belgrod , Bolun Wang , Zachary Ferguson , Xin Zhao , Marco Attene , Daniele Panozzo , Teseo Schneider

Convex free regions provide a structured and optimization-friendly representation of collision-free space for robot navigation in unknown and cluttered environments. However, existing methods typically enlarge local collision-free regions…

Robotics · Computer Science 2026-04-28 Zhicheng Song , Yongjian Li , Kai Chen , Yulin Li , Fan Shi , Jun Ma

Online generation of collision free trajectories is of prime importance for autonomous navigation. Dynamic environments, robot motion and sensing uncertainties adds further challenges to collision avoidance systems. This paper presents an…

Robotics · Computer Science 2021-04-06 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

Robotic manipulation research has investigated contact-rich problems and strategies that require robots to intentionally collide with their environment, to accomplish tasks that cannot be handled by traditional collision-free solutions. By…

Robotics · Computer Science 2025-09-15 Kejia Ren , Gaotian Wang , Andrew S. Morgan , Kaiyu Hang

We consider geometric collision-detection problems for modular reconfigurable robots. Assuming the nodes (modules) are connected squares on a grid, we investigate the complexity of deciding whether collisions may occur, or can be avoided,…

Computational Geometry · Computer Science 2023-05-03 Siddharth Gupta , Marc van Kreveld , Othon Michail , Andreas Padalkin

Continuum robots, which often rely on interdisciplinary and multimedia collaborations, have been increasingly recognized for their potential to revolutionize the field of human-computer interaction (HCI) in varied applications due to their…

Robotics · Computer Science 2024-10-08 Po-Yu Hsieh , June-Hao Hou

The configuration of most robotic systems lies in continuous transformation groups. However, in mobile robot trajectory tracking, many recent works still naively utilize optimization methods for elements in vector space without considering…

Systems and Control · Electrical Eng. & Systems 2024-03-13 Jiawei Tang , Shuang Wu , Bo Lan , Yahui Dong , Yuqiang Jin , Guangjian Tian , Wen-An Zhang , Ling Shi

Traversing 3-D complex environments has always been a significant challenge for legged locomotion. Existing methods typically rely on external sensors such as vision and lidar to preemptively react to obstacles by acquiring environmental…

Robotics · Computer Science 2024-07-16 Yi Cheng , Hang Liu , Guoping Pan , Linqi Ye , Houde Liu , Bin Liang

We present a novel approach to perform probabilistic collision detection between a high-DOF robot and high-DOF obstacles in dynamic, uncertain environments. In dynamic environments with a high-DOF robot and moving obstacles, our approach…

Robotics · Computer Science 2016-07-19 Chonhyon Park , Jae Sung Park , Dinesh Manocha

Probabilistic collision detection (PCD) is essential in motion planning for robots operating in unstructured environments, where considering sensing uncertainty helps prevent damage. Existing PCD methods mainly used simplified geometric…

Robotics · Computer Science 2025-08-28 Xiaoli Wang , Sipu Ruan , Xin Meng , Gregory Chirikjian

Navigating robots safely and efficiently in crowded and complex environments remains a significant challenge. However, due to the dynamic and intricate nature of these settings, planning efficient and collision-free paths for robots to…

Robotics · Computer Science 2024-10-22 Zhuanglei Wen , Mingze Dong , Xiai Chen

This paper presents an integrated navigation framework for Autonomous Mobile Robots (AMRs) that unifies environment representation, trajectory generation, and Model Predictive Control (MPC). The proposed approach incorporates a…

Robotics · Computer Science 2025-11-18 Osama Al Sheikh Ali , Sotiris Koutsoftas , Ze Zhang , Knut Akesson , Emmanuel Dean

Navigating unknown environments with a single RGB camera is challenging, as the lack of depth information prevents reliable collision-checking. While some methods use estimated depth to build collision maps, we found that depth estimates…

Robotics · Computer Science 2025-11-27 Basant Sharma , Prajyot Jadhav , Pranjal Paul , K. Madhava Krishna , Arun Kumar Singh
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