Watchman Tour Polygon

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Shortest Watchman Tours in Simple Polygons under Rotated ...

https://arxiv.org/pdf/2007.08368

man tour to compute a shortest watchman tour in a simple polygon without any pre-specifiedpointtopassthrough,afloatingwatchmantour,usingquadraticfactor overhead. Tan [27] improved this to a linear factor overhead, thus establishing an O(n4 logn) time for the floating case, if combined with the algorithm by Dror et al.[8].Author: Bengt J. Nilsson, David Orden, Leonidas Palios, Carlos Seara, Pawel Zylinski

Watchman tours for polygons with holes Request PDF

https://www.researchgate.net/publication/220991447_Watchman_tours_for_polygons_with_holes

A watchman tour in a polygonal domain (for short, polygon) is a closed curve such that every point in the polygon is visible from at least one point of the tour.

Watchman tours for polygons with holes - ScienceDirect

https://www.sciencedirect.com/science/article/pii/S0925772112000521

Aug 01, 2012 · A watchman tour in a polygonal domain (polygon, for short) is a tour (i.e., closed curve) inside the polygon such that every point in the polygon is visible from some point along the tour. Two points in a polygon are visible to each other if the line segment between them lies in the polygon. The Watchman Tour Problem asks for a watchman tour of ...Cited by: 17

[PDF] Shortest Watchman Tours in Simple Polygons under ...

https://www.semanticscholar.org/paper/Shortest-Watchman-Tours-in-Simple-Polygons-under-Nilsson-Orden/ed1de1e4039624dc685f6d79a9def1c34d1f3718

We present an O(nrG) time algorithm for computing and maintaining a minimum length shortest watchman tour that sees a simple polygon under monotone visibility in direction θ, while θ varies in [0, 180 ), obtaining the directions for the tour to be the shortest one over all tours, where n is the number of vertices, r is the number of reflex vertices, and G ≤ r is the maximum number of gates ...

Watchman tours for polygons with holes - CORE

https://core.ac.uk/display/82764061

AbstractA watchman tour in a polygonal domain (for short, polygon) is a closed curve in the polygon such that every point in the polygon is visible from at least one point of the tour. We show that the length of a minimum watchman tour in a polygon P with k holes is O(per(P)+k⋅diam(P)), where per(P) and diam(P) denote the perimeter and the ...Author: Adrian Dumitrescu and Csaba D. Tóth

CiteSeerX — Watchman tours for polygons with holes

http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.298.9500

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): A watchman tour in a polygonal domain (for short, polygon) is a closed curve in the polygon such that every point in the polygon is visible from at least one point of the tour. We show that the lengthofaminimum watchmantourin apolygonP withk holesisO(per(P)+ √ k·diam(P)), where per(P) and diam(P) denote the ...

Watchman tours for polygons with holes ∗ - CORE

http://core.ac.uk/display/22589803

A watchman tour in a polygonal domain (for short, polygon) is a closed curve in the polygon such that every point in the polygon is visible from at least one point of the tour. We show that the lengthofaminimum watchmantourin apolygonP withk holesisO(per(P)+ √ k·diam(P)), where per(P) and diam(P) denote the perimeter and the diameter of P ...Author: Adrian Dumitrescu and Csaba D. Tóth

Watchman tours for polygons with holes

http://www.cs.umanitoba.ca/~cccg2010/electronicProceedings/paper22.pdf

A watchman tour in a polygonaldomain (polygon, for short) is a tour (i.e., closed curve) inside the polygon such that every point in the polygon is visible from some point along the tour. Two points in a polygon are visible to each other if the line segment between them lies in the polygon. The watchman tour problem asks for a watchman

ApproximatingWatchmanRoutes - Stony Brook

http://www.ams.sunysb.edu/~jsbm/papers/watchman.pdf

watchman route problem (WRP): Compute a shortest path/tour within a polygonal domain (polygon with holes) P so that every point of P is seen from some point of the path/tour, i.e., compute a shortest “visibility coverage tour”. The WRP models a natural problem in robotics, in which a …

HBO’s Watchmen is rude to Alan Moore, which is ... - Polygon

https://www.polygon.com/tv/2019/10/17/20917919/watchmen-hbo-review-alan-moore-comic-book-changes

Oct 17, 2019 · At a Television Critics Association press tour earlier this year, Lindelof laid out his case for making Watchmen: “I do feel like the spirit of Alan Moore is a punk rock spirit, a rebellious ...

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