Results 91 to 100 of about 4,255,094 (265)

On the perimeters of simple polygons contained in a disk [PDF]

open access: yesMonatshefte für Mathematik, 2010
A simple $n$-gon is a polygon with $n$ edges with each vertex belonging to exactly two edges and every other point belonging to at most one edge. Brass asked the following question: For $n \geq 5$ odd, what is the maximum perimeter of a simple $n$-gon contained in a Euclidean unit disk?
openaire   +4 more sources

An optimal algorithm for finding all visible edges in a simple polygon

open access: yesIEEE Trans. Robotics Autom., 1989
By treating the floor plan of the building as a polygon, the authors study the problem of locating a camera for surveillance. A polygon P is point-visible if there exists a point x in P such that every other point in P is visible from x.
Sung-yong Shin, T. Woo
semanticscholar   +1 more source

A Simple Polygon Search Algorithm

open access: yesJournal of the Korea Society of Computer and Information, 2016
This paper considers simple polygon search problem. How many searchers find a mobile intruder that is arbitrarily faster than the searcher within polygon art gallery? This paper uses the visibility graph that is connected with edges for mutually visible vertices. Given visibility graph, we select vertex  that is conjunction  in   for   ≤
openaire   +3 more sources

Fixed points of mapping of N-point gravitational lenses

open access: yesOdessa Astronomical Publications, 2018
In this paper, we study fixed points of N-point gravitational lenses. We use complex form of lens mapping to study fixed points. Complex form has an advantage over coordinate one because we can describe N-point gravitational lens by system of two equation ...
A. T. Kotvytskiy   +2 more
doaj   +1 more source

Computing a single cell in the overlay of two simple polygons [PDF]

open access: green, 1997
Mark de Berg   +3 more
openalex   +1 more source

Hierarchical Decompositions and Circular Ray Shooting in Simple Polygons [PDF]

open access: bronze, 2004
Siu-Wing Cheng   +3 more
openalex   +1 more source

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