The Resource Art gallery theorems and algorithms, Joseph O'Rourke

Art gallery theorems and algorithms, Joseph O'Rourke

Label
Art gallery theorems and algorithms
Title
Art gallery theorems and algorithms
Statement of responsibility
Joseph O'Rourke
Creator
Subject
Language
eng
Summary
Art gallery theorems and algorithms are so called because they relate to problems involving the visibility of geometrical shapes and their internal surfaces. This book explores generalizations and specializations in these areas. Among the presentations are recently discovered theorems on orthogonal polygons, polygons with holes, exterior visibility, visibility graphs, and visibility in three dimensions. The author formulates many open problems and offers several conjectures, providing arguments which may be followed by anyone familiar with basic graph theory and algorithms. This work may be applied to robotics and artificial intelligence as well as other fields, and will be especially useful to computer scientists working with computational and combinatorial geometry
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
O'Rourke, Joseph
Illustrations
illustrations
Index
index present
LC call number
QA447
LC item number
.O76 1987
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Geometry
  • Combinatorial geometry
  • chiffre de garde
  • visibilité
  • algorithme graphe
  • théorème art gallery
  • géométrie algorithmique
  • géométrie combinatoire
  • polygone
  • géométrie
  • Géométrie
  • Géométrie combinatoire
  • Combinatorial geometry
  • Geometry
  • Kombinatorische Geometrie
  • Algorithmische Geometrie
Label
Art gallery theorems and algorithms, Joseph O'Rourke
Instantiates
Publication
Note
Includes index
Bibliography note
Bibliography: p. 268-272
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Polygon partitions -- Orthogonal polygons -- Mobile guards -- Miscellaneous shapes -- Holes -- Exterior visibility -- Visibility graphs -- Visibility algorithms -- Minimal guard covers -- Three dimensions and miscellany
Dimensions
25 cm.
Extent
xiv, 282 pages
Isbn
9780195039658
Isbn Type
(alk. paper)
Lccn
86019262
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)14130616
  • (OCoLC)ocm14130616
Label
Art gallery theorems and algorithms, Joseph O'Rourke
Publication
Note
Includes index
Bibliography note
Bibliography: p. 268-272
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Polygon partitions -- Orthogonal polygons -- Mobile guards -- Miscellaneous shapes -- Holes -- Exterior visibility -- Visibility graphs -- Visibility algorithms -- Minimal guard covers -- Three dimensions and miscellany
Dimensions
25 cm.
Extent
xiv, 282 pages
Isbn
9780195039658
Isbn Type
(alk. paper)
Lccn
86019262
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)14130616
  • (OCoLC)ocm14130616

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