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Given a geometric domain $P$, visibility-based search problems seek routes for one or more mobile agents ("watchmen") to move within $P$ in order to be able to see a portion (or all) of $P$, while optimizing objectives, such as the…

Computational Geometry · Computer Science 2025-06-03 Kien C. Huynh , Joseph S. B. Mitchell , Linh Nguyen , Valentin Polishchuk

The problem of constrained coverage path planning involves a robot trying to cover maximum area of an environment under some constraints that appear as obstacles in the map. Out of the several coverage path planning methods, we consider…

Robotics · Computer Science 2017-08-11 Ankit Manerikar , Debasmit Das , Pranay Banerjee

Thanks to the rapid evolvement of robotic technologies, robot mowing is emerging to liberate humans from the tedious and time-consuming landscape work. Traditionally, robot mowing is perceived as a "Coverage Path Planning" problem, with a…

Robotics · Computer Science 2022-09-13 Zhaofeng Tian , Weisong Shi

Given an orthogonal polygon $ P $ with $ n $ vertices, the goal of the watchman route problem is finding a path $ S $ of the minimum length in $ P $ such that every point of the polygon $ P $ is visible from at least one of the point of $ S…

Computational Geometry · Computer Science 2017-08-07 Hamid Hoorfar , Alireza Bagheri

The well-known \textsc{Watchman Route} problem seeks a shortest route in a polygonal domain from which every point of the domain can be seen. In this paper, we study the cooperative variant of the problem, namely the \textsc{$k$-Watchmen…

Computational Geometry · Computer Science 2025-03-21 Joseph S. B. Mitchell , Linh Nguyen

We introduce and study the problem of planning a trajectory for an agent to carry out a scouting mission while avoiding being detected by an adversarial guard. This introduces an adversarial version of classical visibility-based planning…

Robotics · Computer Science 2019-02-26 Zhongshun Zhang , Yoonchang Sung , Lifeng Zhou , Jonathon M. Smereka , Joseph Lee , Pratap Tokekar

For a given polygonal region $P$, the Lawn Mowing Problem (LMP) asks for a shortest tour $T$ that gets within Euclidean distance 1 of every point in $P$; this is equivalent to computing a shortest tour for a unit-disk cutter $C$ that covers…

Computational Geometry · Computer Science 2022-11-14 Sándor P. Fekete , Dominik Krupke , Michael Perk , Christian Rieck , Christian Scheffer

We study the problem of planning paths for a team of robots for visually monitoring an environment. Our work is motivated by surveillance and persistent monitoring applications. We are given a set of target points in a polygonal environment…

Robotics · Computer Science 2016-12-13 Pratap Tokekar , Ashish Kumar Budhiraja , Vijay Kumar

Coverage problem in wireless sensor networks measures how well a region or parts of it is sensed by the deployed sensors. Definition of coverage metric depends on its applications for which sensors are deployed. In this paper, we introduce…

Computational Geometry · Computer Science 2020-01-16 Dinesh Dash

Given a polygon and a visibility range, the Myopic Watchman Problem with Discrete Vision (MWPDV) asks for a closed path P and a set of scan points S, such that (i) every point of the polygon is within visibility range of a scan point; and…

Data Structures and Algorithms · Computer Science 2015-03-17 Sandor P. Fekete , Joseph S. B. Mitchell , Christiane Schmidt

Coverage path planning is a fundamental challenge in robotics, with diverse applications in aerial surveillance, manufacturing, cleaning, inspection, agriculture, and more. The main objective is to devise a trajectory for an agent that…

Robotics · Computer Science 2023-11-01 Dominik Michael Krupke

An important open problem in robotic planning is the autonomous generation of 3D inspection paths -- that is, planning the best path to move a robot along in order to inspect a target structure. We recently suggested a new method for…

Artificial Intelligence · Computer Science 2019-01-23 Kai Olav Ellefsen , Herman A. Lepikson , Jan C. Albiez

This paper addresses a UAV path planning task that seeks to observe a set of objects while satisfying the observation quality constraint. A dynamic programming algorithm is proposed that enables the UAV to observe the target objects with…

Robotics · Computer Science 2024-11-12 Jiawei Wang , Weiwei Wu , Yijing Wang , Yan Lyu , Vincent Chau

Automating labor-intensive tasks such as crop monitoring with robots is essential for enhancing production and conserving resources. However, autonomously monitoring horticulture crops remains challenging due to their complex structures,…

Robotics · Computer Science 2025-07-15 Allen Isaac Jose , Sicong Pan , Tobias Zaenker , Rohit Menon , Sebastian Houben , Maren Bennewitz

We present a method for solving the coverage problem with the objective of autonomously exploring an unknown environment under mission time constraints. Here, the robot is tasked with planning a path over a horizon such that the accumulated…

In this paper, we study the problem of coverage planning by a mobile robot with a limited energy budget. The objective of the robot is to cover every point in the environment while minimizing the traveled path length. The environment is…

Robotics · Computer Science 2022-10-04 Ayan Dutta , Gokarna Sharma

Time-varying coverage, namely sweep coverage is a recent development in the area of wireless sensor networks, where a small number of mobile sensors sweep or monitor comparatively large number of locations periodically. In this article we…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-11 Barun Gorain , Partha Sarathi Mandal

We study some variants of the $k$-\textsc{Watchman Routes} problem, the cooperative version of the classic \textsc{Watchman Routes} problem in a simple polygon. The watchmen may be required to see the whole polygon, or some pre-determined…

Computational Geometry · Computer Science 2024-09-02 Joseph S. B. Mitchell , Linh Nguyen

In this paper, we tackle the Multiple Watchman Route Problem (MWRP), which aims to find a set of paths that M watchmen can follow such that every location on the map can be seen by at least one watchman. First, we propose multiple methods…

Multiagent Systems · Computer Science 2026-04-20 Srikar Gouru , Ariel Felner , Jiaoyang Li

With the advent of autonomous robots with two- and three-dimensional scanning capabilities, classical visibility-based exploration methods from computational geometry have gained in practical importance. However, real-life laser scanning of…

Computational Geometry · Computer Science 2010-09-28 Sandor P. Fekete , Christiane Schmidt
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