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Using results on the topology of moduli space of polygons [Jaggi, 92; Kapovich and Millson, 94], it can be shown that for a planar robot arm with $n$ segments there are some values of the base-length, $z$, at which the configuration space…

Differential Geometry · Mathematics 2014-09-02 Subhrajit Bhattacharya , Mihail Pivtoraiko

The complex dynamics of agile robotic legged locomotion requires motion planning to intelligently adjust footstep locations. Often, bipedal footstep and motion planning use mathematically simple models such as the linear inverted pendulum,…

Robotics · Computer Science 2022-03-30 Kevin Green , John Warila , Ross L. Hatton , Jonathan Hurst

Multi-robot formation control enables robots to cooperate as a working group in completing complex tasks, which has been widely used in both civilian and military scenarios. Before moving to reach a given formation, each robot should choose…

Robotics · Computer Science 2017-09-13 Shuo Wan , Jiaxun Lu , Pingyi Fan , Khaled B. Letaief

Automated vehicles and logistics robots must often position themselves in narrow environments with high precision in front of a specific target, such as a package or their charging station. Often, these docking scenarios are solved in two…

Robotics · Computer Science 2025-04-07 Oliver Schumann , Michael Buchholz , Klaus Dietmayer

We study the parameterized complexity of a generalization of the coordinated motion planning problem on graphs, where the goal is to route a specified subset of a given set of $k$ robots to their destinations with the aim of minimizing the…

Discrete Mathematics · Computer Science 2026-02-02 Argyrios Deligkas , Eduard Eiben , Robert Ganian , Iyad Kanj , M. S. Ramanujan

We study the problem of multi-robot active mapping, which aims for complete scene map construction in minimum time steps. The key to this problem lies in the goal position estimation to enable more efficient robot movements. Previous…

Computer Vision and Pattern Recognition · Computer Science 2022-04-04 Kai Ye , Siyan Dong , Qingnan Fan , He Wang , Li Yi , Fei Xia , Jue Wang , Baoquan Chen

In this series of papers, we present a motion planning framework for planning comfortable and customizable motion of nonholonomic mobile robots such as intelligent wheelchairs and autonomous cars. In Part I, we presented the mathematical…

Robotics · Computer Science 2013-05-23 Shilpa Gulati , Chetan Jhurani , Benjamin Kuipers

We address the problem of motion planning for a robotic manipulator with the task to place a grasped object in a cluttered environment. In this task, we need to locate a collision-free pose for the object that a) facilitates the stable…

Robotics · Computer Science 2019-07-08 Joshua A. Haustein , Kaiyu Hang , Johannes Stork , Danica Kragic

We consider the uncertain multi-robot motion planning (MRMP) problem with cooperative localization (CL-MRMP), under both motion and measurement noise, where each robot can act as a sensor for its nearby teammates. We formalize CL-MRMP as a…

Robotics · Computer Science 2025-04-10 Anne Theurkauf , Nisar Ahmed , Morteza Lahijanian

The motion planning problem is a fundamental problem in robotics, so that every autonomous robot should be able to deal with it. A number of solutions have been proposed and a probabilistic one seems to be quite reasonable. However, here we…

Robotics · Computer Science 2018-05-11 Kyriakos Papadopoulos , Apostolos Syropoulos

We investigate multiple fundamental variants of the classic coordinated motion planning (CMP) problem for unit square robots in the plane under the $L_1$ metric. In coordinated motion planning, we are given two arrangements of $k$ robots…

Computational Geometry · Computer Science 2026-03-18 Sarita de Berg , Joachim Gudmundsson , Peter Kramer , Christian Rieck , Sampson Wong

We consider the problem of reconfiguring a two-dimensional connected grid arrangement of passive building blocks from a start configuration to a goal configuration, using a single active robot that can move on the tiles, remove individual…

We present optimal motion planning algorithms which can be used in designing practical systems controlling objects moving in Euclidean space without collisions. Our algorithms are optimal in a very concrete sense, namely, they have the…

Robotics · Computer Science 2021-01-26 Cesar A. Ipanaque Zapata , Jesus Gonzalez

In this work, we propose a method for multiple mobile robot motion planning that efficiently plans for robot teams up to 128 robots (an order of magnitude larger than existing state-of-the-art methods) in congested settings with narrow…

Robotics · Computer Science 2025-11-07 Courtney McBeth , James Motes , Isaac Ngui , Marco Morales , Nancy M. Amato

A segment (barrier) is specified on the plane, as well as depots, where the mobile devices (drones) can be placed. Each drone departs from its depot to the barrier, moves along the barrier and returns to its depot, traveling a path of a…

Discrete Mathematics · Computer Science 2025-02-25 Adil Erzin , Anzhela Shadrina

Despite recent progress on trajectory planning of multiple robots and path planning of a single tethered robot, planning of multiple tethered robots to reach their individual targets without entanglements remains a challenging problem. In…

Robotics · Computer Science 2023-04-26 Muqing Cao , Kun Cao , Shenghai Yuan , Thien-Minh Nguyen , Lihua Xie

Autonomous multi-robot optical inspection systems are increasingly applied for obtaining inline measurements in process monitoring and quality control. Numerous methods for path planning and robotic coordination have been developed for…

Robotics · Computer Science 2021-06-16 Yinhua Liu , Wenzheng Zhao , Tim Lutz , Xiaowei Yue

In this paper, we propose a new method for path planning to a point for robot in environment with obstacles. The resulting algorithm is implemented as a simple variation of Dijkstra's algorithm. By adding a constraint to the shortest-path,…

Robotics · Computer Science 2015-10-16 Jalil Rasekhi

We study the problem of determining coordinated motions, of minimum total length, for two arbitrary convex centrally-symmetric (CCS) robots in an otherwise obstacle-free plane. Using the total path length traced by the two robot centres as…

Computational Geometry · Computer Science 2025-03-05 David Kirkpatrick , Paul Liu

Robust motion planning is a well-studied problem in the robotics literature, yet current algorithms struggle to operate scalably and safely in the presence of other moving agents, such as humans. This paper introduces a novel framework for…