The art gallery problem or museum problem is a well-studied visibility problem in computational geometry. It originates from the following real-world problem:
"In an art gallery, what is the minimum number of guards who together can observe the whole gallery?"
In the geometric version of the problem, the layout of the art gallery is represented by a simple polygon and each guard is represented by a point in the polygon. A set of points is said to guard a polygon if, for every point in the polygon, there is some such that the line segment between and does not leave the polygon.
The art gallery problem can be applied in several domains such as in robotics, when artificial intelligences (AI) need to execute movements depending on their surroundings. Other domains, where this problem is applied, are in image editing, lighting problems of a stage or installation of infrastructures for the warning of natural disasters.
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The artgalleryproblem or museum problem is a well-studied visibility problem in computational geometry. It originates from the following real-world problem:...
The National Gallery of Art is an art museum in Washington, D.C., United States, located on the National Mall, between 3rd and 9th Streets, at Constitution...
The Corcoran Gallery of Art is a former art museum in Washington, D.C., that is now the location of the Corcoran School of the Arts and Design, a part...
visibility graphs of simple polygons are cop-win graphs. The artgalleryproblem is the problem of finding a small set of points such that all other non-obstacle...
The National Gallery is an art museum in Trafalgar Square in the City of Westminster, in Central London, England. Founded in 1824, it houses a collection...
time. This also leads to a linear time algorithm for solving the artgalleryproblem using at most ⌊ n / 3 ⌋ {\displaystyle \lfloor n/3\rfloor } points...
many boxes, then two objects share a box. In Fisk's solution to the Artgalleryproblem a sort of converse is used: If n objects are placed into k boxes...
turmoil and problems caused by the political situation, the gallery survived. Expressions ArtGallery aims to promote and support Haitian art and artists...
video games, and in various optimization problems such as the facility location problem and the artgalleryproblem. If the visibility polygon is bounded...
(stuck unknot problem), linkage (mechanical) reconfiguration, the artgalleryproblem, polygon triangulation, the largest empty circle problem, unimodality...
and q. The problem of covering a polygon with star polygons is a variant of the artgalleryproblem. The visibility graph for the problem of minimally...
National Gallery of Australia (NGA), formerly the Australian National Gallery, is the national art museum of Australia as well as one of the largest art museums...
The Whitechapel Gallery is a public artgallery in Whitechapel on the north side of Whitechapel High Street, in the London Borough of Tower Hamlets. The...
Absorbing set – Set that can be "inflated" to reach any point Artgalleryproblem – Mathematical problem Balanced set – Construct in functional analysis Bounded...
The Grosvenor Gallery was an artgallery in London founded in 1877 by Sir Coutts Lindsay and his wife Blanche. Its first directors were J. Comyns Carr...
/ 51.44611°N 0.08639°W / 51.44611; -0.08639 Dulwich Picture Gallery is an artgallery in Dulwich, south London. It opened to the public in 1817 and...
The Henry ArtGallery ("The Henry") is a contemporary art museum located on the campus of the University of Washington, in Seattle, Washington, United...
triangulations Quadrangulation Nice triangulation Artgalleryproblem Wedge placement optimization problem Union of two convex polygons Common tangents to...
nature of art has been described by philosopher Richard Wollheim as "one of the most elusive of the traditional problems of human culture". Art has been...
for British Art, which, coincidentally, was also designed by Louis Kahn. He had also been a curator at the Yale ArtGallery, Kahn's first art museum. Pillsbury...
Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from...
algorithms for solving geometric optimization problems, distributed leader election, and the artgalleryproblem, and studies of the effects of gender on electronic...
and sell their work. This made NSCAD the only art school in Canada to offer a dedicated commercial gallery, helping students tradition from academia to...
solution whose length is within a polylogarithmic factor of optimal. Artgalleryproblem, which similarly involves viewing all points of a given area, but...
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