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Motion planning trajectories for a multi-limbed robot to climb up walls requires a unique combination of constraints on torque, contact force, and posture. This paper focuses on motion planning for one particular setup wherein a six-legged…

Robotics · Computer Science 2023-08-16 Xuan Lin , Jingwen Zhang , Junjie Shen , Gabriel Fernandez , Dennis W Hong

We consider the problem of packing a family of disks "on a shelf", that is, such that each disk touches the $x$-axis from above and such that no two disks overlap. We prove that the problem of minimizing the distance between the leftmost…

Computational Geometry · Computer Science 2018-09-10 Helmut Alt , Kevin Buchin , Steven Chaplick , Otfried Cheong , Philipp Kindermann , Christian Knauer , Fabian Stehn

Motion planning is a mature area of research in robotics with many well-established methods based on optimization or sampling the state space, suitable for solving kinematic motion planning. However, when dynamic motions under constraints…

We consider the planar Euclidean two-center problem in which given $n$ points in the plane we are to find two congruent disks of the smallest radius covering the points. We present a deterministic $O(n \log n)$-time algorithm for the case…

Computational Geometry · Computer Science 2020-07-09 Jongmin Choi , Hee-Kap Ahn

Path planning in the multi-robot system refers to calculating a set of actions for each robot, which will move each robot to its goal without conflicting with other robots. Lately, the research topic has received significant attention for…

Robotics · Computer Science 2022-12-02 Jingchuan Chen , Wei Chen , Jing Li , Xiguang Wei , Wenzhe Tan , Zuo-Jun Max Shen , Hongbo Li

In this paper, we address the problem of real-time motion planning for multiple robotic manipulators that operate in close proximity. We build upon the concept of dynamic fabrics and extend them to multi-robot systems, referred to as…

Robotics · Computer Science 2023-10-20 Saray Bakker , Luzia Knoedler , Max Spahn , Wendelin Böhmer , Javier Alonso-Mora

We study Multi-Agent Path Finding for arrangements of labeled agents in the interior of a simply connected domain: Given a unique start and target position for each agent, the goal is to find a sequence of parallel, collision-free agent…

Computational Geometry · Computer Science 2024-09-11 Sándor P. Fekete , Ramin Kosfeld , Peter Kramer , Jonas Neutzner , Christian Rieck , Christian Scheffer

We consider the motion planning problem for a point constrained to move along a smooth closed convex path of bounded curvature. The workspace of the moving point is bounded by a convex polygon with m vertices, containing an obstacle in a…

Computational Geometry · Computer Science 2007-05-23 Jean-Daniel Boissonnat , Jurek Czyzowicz , Olivier Devillers , Jean-Marc Robert , Mariette Yvinec

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

When a large collection of objects (e.g., robots, sensors, etc.) has to be deployed in a given environment, it is often required to plan a coordinated motion of the objects from their initial position to a final configuration enjoying some…

Data Structures and Algorithms · Computer Science 2014-07-03 Davide Bilò Luciano Gualà , Stefano Leucci , Guido Proietti

As legged robots are deployed in industrial and autonomous construction tasks requiring collaborative manipulation, they must handle object manipulation while maintaining stable locomotion. The challenge intensifies in real-world…

Robotics · Computer Science 2024-10-16 Mohsen Sombolestan , Quan Nguyen

This paper deals with a path planning and intelligent control of an autonomous robot which should move safely in partially structured environment. This environment may involve any number of obstacles of arbitrary shape and size; some of…

Robotics · Computer Science 2007-05-23 Danica Janglova

In this paper, we present a method to initialize at a feasible point and unfailingly solve a non-convex optimization problem in which a set-point motion is planned for a multi-link manipulator under state and control constraints. We…

Systems and Control · Computer Science 2017-03-16 Keisuke Uto , Makoto Obayashi , Gaku Takano

We study a graph pathfinding problem Distance-$r$ Independent Unlabeled Multi-Agent Pathfinding, finding a set of collision-free paths between two sets where agents must stay at pairwise distance at least $r+1$ at all times. This additional…

Multiagent Systems · Computer Science 2026-05-13 Takahiro Suzuki , Yuma Tamura , Keisuke Okumura

Motion planning is a key tool that allows robots to navigate through an environment without collisions. The problem of robot motion planning has been studied in great detail over the last several decades, with researchers initially focusing…

Robotics · Computer Science 2018-07-20 Luka Petrović

Robotic systems are routinely used in the logistics industry to enhance operational efficiency, but the design of robot workspaces remains a complex and manual task, which limits the system's flexibility to changing demands. This paper aims…

Robotics · Computer Science 2025-03-10 Peiyu Zeng , Yijiang Huang , Simon Huber , Stelian Coros

In the fast evacuation problem, we study the path planning problem for two robots who want to minimize the worst-case evacuation time on the unit disk. The robots are initially placed at the center of the disk. In order to evacuate, they…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-15 Ioannis Lamprou , Russell Martin , Sven Schewe

We address the problem of visually guided rearrangement planning with many movable objects, i.e., finding a sequence of actions to move a set of objects from an initial arrangement to a desired one, while relying on visual inputs coming…

This paper considers multi-goal motion planning in unstructured, obstacle-rich environments where a robot is required to reach multiple regions while avoiding collisions. The planned motions must also satisfy the differential constraints…

Robotics · Computer Science 2025-03-27 Yuanjie Lu , Erion Plaku

We present a learning-based mapless motion planner by taking the sparse 10-dimensional range findings and the target position with respect to the mobile robot coordinate frame as input and the continuous steering commands as output.…

Robotics · Computer Science 2017-07-24 Lei Tai , Giuseppe Paolo , Ming Liu
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