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Matching pursuit algorithms are an important class of algorithms in signal processing and machine learning. We present a blended matching pursuit algorithm, combining coordinate descent-like steps with stronger gradient descent steps, for…

Optimization and Control · Mathematics 2019-11-21 Cyrille W. Combettes , Sebastian Pokutta

Visibility plays an important role for decision making in cluttered, uncertain environments. This paper considers the problem of identifying optimal hiding spots for an agent against line-of-sight detection by an adversary whose location is…

Optimization and Control · Mathematics 2026-02-02 Neilabh Banzal , Jorge Cortés , Sonia Martínez

Consider a set of autonomous computational entities, called \emph{robots}, operating inside a polygonal enclosure (possibly with holes), that have to perform some collaborative tasks. The boundary of the polygon obstructs both visibility…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-24 Kaustav Bose , Ranendu Adhikary , Manash Kumar Kundu , Buddhadeb Sau

This paper addresses the problem of trajectory planning for information gathering with a dynamic and resolution-varying sensor footprint. Ergodic planning offers a principled framework that balances exploration (visiting all areas) and…

Robotics · Computer Science 2025-12-10 Ziyue Zheng , Yongce Liu , Hesheng Wang , Zhongqiang Ren

The pursuit-evasion problem is widespread in nature, engineering, and societal applications. It is commonly observed in nature that predators often exhibit faster speeds than their prey but have less agile maneuverability. Over millions of…

Systems and Control · Electrical Eng. & Systems 2025-02-10 Panpan Zhou , Sirui Li , Benyun Zhao , Bo Wahlberg , Xiaoming Hu

This paper investigates a hybrid solution which combines deep reinforcement learning (RL) and classical trajectory planning for the following in front application. Here, an autonomous robot aims to stay ahead of a person as the person…

Robotics · Computer Science 2020-11-09 Payam Nikdel , Richard Vaughan , Mo Chen

The accelerated deployment of service robots have spawned a number of algorithm variations to better handle real-world conditions. Many local trajectory planning techniques have been deployed on practical robot systems successfully. While…

Robotics · Computer Science 2023-06-01 Steve Macenski , Shrijit Singh , Francisco Martin , Jonatan Gines

This work focuses on the following question related to the Gathering problem of $n$ autonomous, mobile robots in the Euclidean plane: Is it possible to solve Gathering of robots that do not agree on any axis of their coordinate systems…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-24 Jannik Castenow , Jonas Harbig , Daniel Jung , Till Knollmann , Friedhelm Meyer auf der Heide

This paper studies, for the first time, the trajectory planning problem in adversarial environments, where the objective is to design the trajectory of a robot to reach a desired final state despite the unknown and arbitrary action of an…

Optimization and Control · Mathematics 2019-10-25 Yin-Chen Liu , Gianluca Bianchin , Fabio Pasqualetti

Path planning for multiple robots is well studied in the AI and robotics communities. For a given discretized environment, robots need to find collision-free paths to a set of specified goal locations. Robots can be fully anonymous,…

Artificial Intelligence · Computer Science 2017-04-26 Wolfgang Hönig , T. K. Satish Kumar , Liron Cohen , Hang Ma , Sven Koenig , Nora Ayanian

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 consider a single non-holonomic Dubins-like robot traveling with a constant longitudinal speed in an a priori unknown and unsteady planar environment. The robot should detect, locate, and track the boundary of a dynamic environmental…

Optimization and Control · Mathematics 2015-04-09 Alexey S. Matveev , Michael C. Hoy , Kirill S. Ovchinnikov , Alexander M. Anisimov , Andrey V. Savkin

We study two simple modifications of self-avoiding polygons. Osculating polygons are a super-set in which we allow the perimeter of the polygon to touch at a vertex. Neighbour-avoiding polygons are only allowed to have nearest neighbour…

Statistical Mechanics · Physics 2009-11-07 Iwan Jensen

This paper presents a method for motion planning under uncertainty to deal with situations where ambiguous data associations result in a multimodal hypothesis on the robot state. In the global localization problem, sometimes referred to as…

Robotics · Computer Science 2016-03-01 Saurav Agarwal , Amirhossein Tamjidi , Suman Chakravorty

In this paper we have discussed a unique general algorithm for exploring and solving any kind of line maze with another simple one for simple mazes without loops or loops having highest two branches none of which are inward. For the general…

Robotics · Computer Science 2015-01-06 Shadman Sakib , Anik Chowdhury , Shekh Tanvir Ahamed , Syed Imam Hasan

Detecting polygons defined by a set of line segments in a plane is an important step in analyzing vector drawings. This paper presents an approach combining several algorithms to detect basic polygons from arbitrary line segments. The…

Computational Geometry · Computer Science 2023-12-29 Alfredo Ferreira , Manuel J. Fonseca , Joaquim A. Jorge

We study a pursuit-evasion game between a double integrator-driven pursuer with bounded velocity and bounded acceleration and a single integrator-driven evader with bounded velocity in a two-dimensional plane. The pursuer's goal is to…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Zehua Zhao , Rui Yan , Jianping He , Xinping Guan , Xiaoming Duan

Given a set of co-located mobile robots in an unknown anonymous graph, the robots must relocate themselves in distinct graph nodes to solve the dispersion problem. In this paper, we consider the dispersion problem for silent robots…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-13 Bibhuti Das , Barun Gorain , Kaushik Mondal , Krishnendu Mukhopadhyaya , Supantha Pandit

We present controllers that enable mobile robots to persistently monitor or sweep a changing environment. The changing environment is modeled as a field which grows in locations that are not within range of a robot, and decreases in…

Robotics · Computer Science 2016-11-18 Stephen L. Smith , Mac Schwager , Daniela Rus

Let $\mathcal{W} \subset \mathbb{R}^2$ be a rectilinear polygonal environment (that is, a rectilinear polygon potentially with holes) with a total of $n$ vertices, and let $A,B$ be two robots, each modeled as an axis-aligned unit square,…

Computational Geometry · Computer Science 2026-01-28 Pankaj K. Agarwal , Mark de Berg , Benjamin Holmgren , Alex Steiger , Martijn Struijs