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We consider the problem of planning a collision-free path for a high-dimensional robot. Specifically, we suggest a planning framework where a motion-planning algorithm can obtain guidance from a user. In contrast to existing approaches that…

Robotics · Computer Science 2018-07-24 Fahad Islam , Oren Salzman , Maxim Likhachev

We consider the problem of finding collision-free paths for curvature-constrained systems in the presence of obstacles while minimizing execution time. Specifically, we focus on the setting where a planar system can travel at some range of…

Robotics · Computer Science 2022-04-05 Doron Pinsky , Petr Váňa , Jan Faigl , Oren Salzman

Collision-free path planning is an essential requirement for autonomous exploration in unknown environments, especially when operating in confined spaces or near obstacles. This study presents an autonomous exploration technique using a…

Robotics · Computer Science 2023-02-01 Sunggoo Jung , Hanseob Lee , David Hyunchul Shim , Ali-akbar Agha-mohammadi

In this work, we propose a trajectory optimization approach for robot navigation in cluttered 3D environments. We represent the robot's geometry as a semialgebraic set defined by polynomial inequalities such that robots with general shapes…

Robotics · Computer Science 2024-08-27 Yulin Li , Chunxin Zheng , Kai Chen , Yusen Xie , Xindong Tang , Michael Yu Wang , Jun Ma

In this paper the computational challenges of time-optimal path following are addressed. The standard approach is to minimize the travel time, which inevitably leads to singularities at zero path speed, when reformulating the optimization…

Robotics · Computer Science 2025-10-24 Tobias Marauli , Hubert Gattringer , Andreas Mueller

We present a fast algorithm for the design of smooth paths (or trajectories) that are constrained to lie in a collection of axis-aligned boxes. We consider the case where the number of these safe boxes is large, and basic preprocessing of…

Robotics · Computer Science 2024-01-04 Tobia Marcucci , Parth Nobel , Russ Tedrake , Stephen Boyd

The objective of trajectory optimization algorithms is to achieve an optimal collision-free path between a start and goal state. In real-world scenarios where environments can be complex and non-homogeneous, a robot needs to be able to…

Robotics · Computer Science 2022-02-22 Yuheng Zhi , Nikhil Das , Michael Yip

The paper addresses the problem of providing suitable reference trajectories in motion planning problems for autonomous vehicles. Among the various approaches to compute a reference trajectory, our aim is to find those trajectories which…

Optimization and Control · Mathematics 2018-01-24 Matthias Gerdts , Björn Martens

With the incremental development of robotic platforms to automate the manual processes, path planning has become a critical domain with or without the knowledge of the indoor and outdoor environment. The algorithms can be intelligent or…

Robotics · Computer Science 2020-12-22 R. N. Somarathna

Trajectory replanning is a critical problem for multi-robot teams navigating dynamic environments. We present RLSS (Replanning using Linear Spatial Separations): a real-time trajectory replanning algorithm for cooperative multi-robot teams…

Robotics · Computer Science 2022-01-06 Baskın Şenbaşlar , Wolfgang Hönig , Nora Ayanian

The steady development of motor vehicle technology will enable cars of the near future to assume an ever increasing role in the decision making and control of the vehicle itself. In the foreseeable future, cars will have the ability to…

Computational Geometry · Computer Science 2015-05-06 Philip Dasler , David M. Mount

In motion planning problems for autonomous robots, such as self-driving cars, the robot must ensure that its planned path is not in close proximity to obstacles in the environment. However, the problem of evaluating the proximity is…

Robotics · Computer Science 2019-06-21 Arun Lakshmanan , Andrew Patterson , Venanzio Cichella , Naira Hovakimyan

Motion planning is a key aspect of robotics. A common approach to address motion planning problems is trajectory optimization. Trajectory optimization can represent the high-level behaviors of robots through mathematical formulations.…

Robotics · Computer Science 2024-08-21 Fatemeh Rastgar

Trajectory planning for multiple robots in shared environments is a challenging problem especially when there is limited communication available or no central entity. In this article, we present Real-time planning using Linear Spatial…

Robotics · Computer Science 2023-04-04 Baskın Şenbaşlar , Wolfgang Hönig , Nora Ayanian

This work considers the path planning problem for a team of identical robots evolving in a known environment. The robots should satisfy a global specification given as a Linear Temporal Logic (LTL) formula over a set of regions of interest.…

Robotics · Computer Science 2022-11-09 Sofia Hustiu , Cristian Mahulea , Marius Kloetzer , Jean-Jacques Lesage

We study the problem of motion planning for a collection of $n$ labeled unit disc robots in a polygonal environment. We assume that the robots have revolving areas around their start and final positions: that each start and each final is…

Robotics · Computer Science 2023-06-16 Pankaj K. Agarwal , Tzvika Geft , Dan Halperin , Erin Taylor

In this paper, we introduce a trajectory planning problem for a marsupial robotics system consisting of a ground robot, a drone, and a taut tether of bounded length connecting the two robots. This problem can be framed within the context of…

Computational Geometry · Computer Science 2025-07-14 Aurelio Barrera-Vicent , José Miguel Díaz-Báñez , Fabio Rodríguez , Vanesa Sánchez-Canales

We devise a cooperative planning framework to generate optimal trajectories for a tethered robot duo, who is tasked to gather scattered objects spread in a large area using a flexible net. Specifically, the proposed planning framework first…

Robotics · Computer Science 2022-01-13 Yao Su , Yuhong Jiang , Yixin Zhu , Hangxin Liu

In many robotics applications, multiple robots are working in a shared workspace to complete a set of tasks as fast as possible. Such settings can be treated as multi-modal multi-robot multi-goal path planning problems, where each robot has…

Robotics · Computer Science 2026-04-20 Valentin N. Hartmann , Tirza Heinle , Yijiang Huang , Stelian Coros

Navigating an arbitrary-shaped ground robot safely in cluttered environments remains a challenging problem. The existing trajectory planners that account for the robot's physical geometry severely suffer from the intractable runtime. To…

Robotics · Computer Science 2026-01-07 Yisheng Li , Longji Yin , Yixi Cai , Jianheng Liu , Fangcheng Zhu , Mingpu Ma , Siqi Liang , Haotian Li , Fu Zhang