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The paper surveys topological problems relevant to the motion planning problem of robotics and includes some new results and constructions. First we analyse the notion of topological complexity of configuration spaces which is responsible…

Algebraic Topology · Mathematics 2017-01-10 Michael Farber

It is necessary for a mobile robot to be able to efficiently plan a path from its starting, or current, location to a desired goal location. This is a trivial task when the environment is static. However, the operational environment of the…

Robotics · Computer Science 2017-04-18 Devin Connell , Hung Manh La

In this paper we present a method for automatically generating optimal robot trajectories satisfying high level mission specifications. The motion of the robot in the environment is modeled as a general transition system, enhanced with…

Robotics · Computer Science 2010-07-16 Stephen L. Smith , Jana Tumova , Calin Belta , Daniela Rus

Among the most prevalent motion planning techniques, sampling and trajectory optimization have emerged successful due to their ability to handle tight constraints and high-dimensional systems, respectively. However, limitations in sampling…

Robotics · Computer Science 2021-07-30 Kalyan Vasudev Alwala , Mustafa Mukadam

We present an optimization-based method to plan the motion of an autonomous robot under the uncertainties associated with dynamic obstacles, such as humans. Our method bounds the marginal risk of collisions at each point in time by…

Robotics · Computer Science 2021-03-24 O. de Groot , B. Brito , L. Ferranti , D. Gavrila , J. Alonso-Mora

Efficient path planning for autonomous mobile robots is a critical problem across numerous domains, where optimizing both time and energy consumption is paramount. This paper introduces a novel methodology that considers the dynamic…

Robotics · Computer Science 2025-03-17 Víctor C. da S. Campos , Armando A. Neto , Douglas G. Macharet

In this paper, we extend a famous motion planning approach GPMP2 to multi-robot cases, yielding a novel centralized trajectory generation method for the multi-robot formation. A sparse Gaussian Process model is employed to represent the…

Robotics · Computer Science 2021-08-02 Shuang Guo , Bo Liu , Shen Zhang , Jifeng Guo , Changhong Wang

Multi-robot systems are essential for environmental monitoring, particularly for tracking spatial phenomena like pollution, soil minerals, and water salinity, and more. This study addresses the challenge of deploying a multi-robot team for…

Robotics · Computer Science 2025-02-12 Federico Pratissoli , Mattia Mantovani , Amanda Prorok , Lorenzo Sabattini

Unmanned Surface Vehicles (USVs) in the ocean environment, considering various spatiotemporal factors such as ocean currents and other energy consumption factors. The paper uses Gaussian Process Motion Planning (GPMP2), a Bayesian…

Robotics · Computer Science 2024-02-13 Behzad Akbari , Ya-Jun Pan , Shiwei Liu , Tianye Wang

Path planning for robotic coverage is the task of determining a collision-free robot trajectory that observes all points of interest in an environment. Robots employed for such tasks are often capable of exercising active control over…

Robotics · Computer Science 2020-11-17 Tushar Kusnur , Dhruv Mauria Saxena , Maxim Likhachev

This paper addresses path set planning that yields important applications in robot manipulation and navigation such as path generation for deformable object keypoints and swarms. A path set refers to the collection of finite agent paths to…

Robotics · Computer Science 2024-07-12 Jing Huang , Yunxi Tang , Kwok Wai Samuel Au

Learning motion planners to move robot from one point to another within an obstacle-occupied space in a collision-free manner requires either an extensive amount of data or high-quality demonstrations. This requirement is caused by the fact…

Robotics · Computer Science 2020-10-20 Xuesu Xiao , Bo Liu , Peter Stone

Kinodynamic motion planning for non-holomonic mobile robots is a challenging problem that is lacking a universal solution. One of the computationally efficient ways to solve it is to build a geometric path first and then transform this path…

Robotics · Computer Science 2021-08-17 Brian Angulo , Konstantin Yakovlev , Ivan Radionov

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

Autonomous 3D acquisition of outdoor environments poses special challenges. Different from indoor scenes, where the room space is delineated by clear boundaries and separations (e.g., walls and furniture), an outdoor environment is spacious…

Robotics · Computer Science 2020-12-24 Pengdi Huang , Liqiang Lin , Kai Xu , Hui Huang

We present a biologically inspired approach for path planning with dynamic obstacle avoidance. Path planning is performed in a condensed configuration space of a robot generated by self-organizing neural networks (SONN). The robot itself…

Robotics · Computer Science 2022-07-11 Lea Steffen , Tobias Weyer , Stefan Ulbrich , Arne Roennau , Rüdiger Dillmann

Numerical optimization has become a popular approach to plan smooth motion trajectories for robots. However, when sharing space with humans, balancing properly safety, comfort and efficiency still remains challenging. This is notably the…

Robotics · Computer Science 2022-10-25 Philipp Kratzer , Marc Toussaint , Jim Mainprice

Efficient and robust path planning hinges on combining all accessible information sources. In particular, the task of path planning for robotic environmental exploration and monitoring depends highly on the current belief of the world. To…

Urban intersections are prone to delays and inefficiencies due to static precedence rules and occlusions limiting the view on prioritized traffic. Existing approaches to improve traffic flow, widely known as automatic intersection…

Robotics · Computer Science 2022-07-27 Marvin Klimke , Benjamin Völz , Michael Buchholz

Effective motion planning in high dimensional spaces is a long-standing open problem in robotics. One class of traditional motion planning algorithms corresponds to potential-based motion planning. An advantage of potential based motion…

Robotics · Computer Science 2024-07-09 Yunhao Luo , Chen Sun , Joshua B. Tenenbaum , Yilun Du