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A basic problem in computer vision is to understand the structure of a real-world scene given several images of it. Here we study several theoretical aspects of the intra multi-view geometry of calibrated cameras when all that they can…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Danail Brezov , Michael Werman

The use of video surveillance in public spaces -- both by government agencies and by private citizens -- has attracted considerable attention in recent years, particularly in light of rapid advances in face-recognition technology. But it…

Computers and Society · Computer Science 2021-09-01 Hao Sheng , Keniel Yao , Sharad Goel

The use of drones for aerial cinematography has revolutionized several applications and industries that require live and dynamic camera viewpoints such as entertainment, sports, and security. However, safely controlling a drone while…

Robotics · Computer Science 2019-07-30 Rogerio Bonatti , Cherie Ho , Wenshan Wang , Sanjiban Choudhury , Sebastian Scherer

A sliding camera inside an orthogonal polygon $P$ is a point guard that travels back and forth along an orthogonal line segment $\gamma$ in $P$. The sliding camera $g$ can see a point $p$ in $P$ if the perpendicular from $p$ onto $\gamma$…

Computational Geometry · Computer Science 2016-04-26 Therese Biedl , Timothy M. Chan , Stephanie Lee , Saeed Mehrabi , Fabrizio Montecchiani , Hamideh Vosoughpour

One of the earliest and most well known problems in computational geometry is the so-called art gallery problem. The goal is to compute the minimum possible number guards placed on the vertices of a simple polygon in such a way that they…

Computational Geometry · Computer Science 2009-11-25 Menelaos I. Karavelas , Elias P. Tsigaridas

In any simple polygonal art gallery with n walls, we show that it is possible to place floor(n/2)-1 guards whose range of vision is 180 degrees in such a way that every interior point of the gallery can be seen by one of them, and such that…

Combinatorics · Mathematics 2020-07-09 Daniel Florentino , Ethan Moy , Robert Muth

This manuscript contains a description and basic principles for observing inaccessible areas using low cost, easily deployed equipment. The basic premise is to suspend a tiny video camera at an altitude of 10 - 200 meters over the area to…

General Physics · Physics 2007-05-23 Alexander Bolonkin

Aerial security means performing security-aimed monitoring and surveillance operations with the help of airborne vehicles. This kind of activities suggest that human officers (security organizations, law enforcement, police etc.) would be…

Cryptography and Security · Computer Science 2021-04-02 Simon Karanja Hinga

We propose an approach to detect flying objects such as UAVs and aircrafts when they occupy a small portion of the field of view, possibly moving against complex backgrounds, and are filmed by a camera that itself moves. Solving such a…

Computer Vision and Pattern Recognition · Computer Science 2015-12-14 Artem Rozantsev , Vincent Lepetit , Pascal Fua

We study the Art Gallery Problem for face guards in polyhedral environments. The problem can be informally stated as: how many (not necessarily convex) windows should we place on the external walls of a dark building, in order to completely…

Computational Geometry · Computer Science 2014-04-22 Giovanni Viglietta

We study the problem of guarding the boundary of a simple polygon with a minimum number of guards such that each guard covers a contiguous portion of the boundary. First, we present a simple greedy algorithm for this problem that returns a…

Computational Geometry · Computer Science 2025-05-09 Ahmad Biniaz , Anil Maheshwari , Joseph S. B. Mitchell , Saeed Odak , Valentin Polishchuk , Thomas Shermer

We provide a spectrum of results for the Universal Guard Problem, in which one is to obtain a small set of points ("guards") that are "universal" in their ability to guard any of a set of possible polygonal domains in the plane. We give…

Computational Geometry · Computer Science 2017-03-28 Sándor P. Fekete , Qian Li , Joseph S. B. Mitchell , Christian Scheffer

We study the problem of guarding orthogonal art galleries with horizontal mobile guards (alternatively, vertical) and point guards, using "rectangular vision". We prove a sharp bound on the minimum number of point guards required to cover…

Combinatorics · Mathematics 2019-11-07 Ervin Győri , Tamás Róbert Mezei

We study multi-agent coverage algorithms for autonomous monitoring and patrol in urban environments. We consider scenarios in which a team of flying agents uses downward facing cameras (or similar sensors) to observe the environment outside…

Robotics · Computer Science 2020-08-18 Shivang Patel , Senthil Hariharan , Pranav Dhulipala , Ming C Lin , Dinesh Manocha , Huan Xu , Michael Otte

We study the problem of colouring the vertices of a polygon, such that every viewer in it can see a unique colour. The goal is to minimise the number of colours used. This is also known as the conflict-free chromatic guarding problem with…

Computational Geometry · Computer Science 2020-04-07 Onur Çağırıcı , Subir Kumar Ghosh , Petr Hliněný , Bodhayan Roy

The protection of pathways holds immense significance across various domains, including urban planning, transportation, surveillance, and security. This article introduces a groundbreaking approach to safeguarding pathways by employing…

Robotics · Computer Science 2024-05-27 Hamid Hoorfar , Faraneh Fathi , Sara Moshtaghi Largani , Alireza Bagheri

The social conventions and expectations around the appropriate use of imaging and video has been transformed by the availability of video cameras in our pockets. The impact on law enforcement can easily be seen by watching the nightly news;…

With the popularity of drone technologies, aerial photography has become prevalent in many daily scenarios such as environment monitoring, structure inspection, law enforcement etc. A central challenge in this domain is the efficient…

Robotics · Computer Science 2025-12-30 Si Wei Feng

The great flexibility of a view camera allows to take high quality photographs that would not be possible any other way. But making a given object into focus is a long and tedious task, although the underlying laws are well known. This…

Optimization and Control · Mathematics 2015-03-18 Stéphane Mottelet , Luc de Saint Germain , Olivier Mondin

A terrain T is an x-monotone polygonal chain in the plane; T is orthogonal if each edge of T is either horizontal or vertical. In this paper, we give an exact algorithm for the problem of guarding the convex vertices of an orthogonal…

Computational Geometry · Computer Science 2015-12-29 Saeed Mehrabi
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