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Opaque set

In discrete geometry, an opaque set is a system of curves or other set in the plane that blocks all lines of sight across a polygon, circle, or other shape. Opaque sets have also been called barriers, beam detectors, opaque covers, or (in cases where they have the form of a forest of line segments or other curves) opaque forests. Opaque sets were…

History, Bounds & Algorithms

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Overview

Definitions

Bounds

Algorithms

Curve-free opaque sets

History

Advanced semantic analysis

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Map overview Semantic statistics

Opaque set

Nodes66
Edges65
Triples79
Avg. degree1.97
Density0.030303
Components1

How this topic connects Entity context

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Opaque set

Top relations

related to Approximation · 12
Opaque set → By, Dumitrescu, For, In, Jiang, Pach, Shermer, Steiner, The, This, Tóth, U-shaped
related to history · 12
Opaque set → Bagemihl, Basu Mazumdar, Frederick Bagemihl, However, In, Opaque, Other, Riemannian, Sen Gupta, Stefan Mazurkiewicz, The, They
related to Specific shapes · 12
Opaque set → Canadian, Fermat, For, However, In, It, Izumi, Jones, Maurice Poirier, Ross Honsberger, Steiner, The
related to Definitions · 11
Opaque set → Every, For, Hausdorff, If, In, It, Most, Some, There, Versions, When
related to Lower bound · 11
Opaque set → But, By, Crofton, However, In, It, One, Then, There, Therefore, This
related to Curve-free opaque sets · 10
Opaque set → At, Bagemihl, Cantor, Hausdorff, However, In, Mazurkiewicz, The, Then, With
related to Upper bound · 8
Opaque set → Every, For, However, If, In, Steiner, The, Therefore
related to Bounds · 2
Opaque set → For, When
is a · 1
Opaque set → system of curves or other set in the plane that blocks all lines of sight across a polygon

Important terminology Word statistics

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Important terminology

opaque set displaystyle length sets convex line shortest forest barrier perimeter connected segments problem whose square boundary tree possible find

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Opaque setis asystem of curves or other set in the plane that blocks all lines of sight across a polygon0.90text
Opaque setrelated to ApproximationBy0.60section
Opaque setrelated to ApproximationIn0.60section
Opaque setrelated to ApproximationDumitrescu0.60section
Opaque setrelated to ApproximationJiang0.60section
Opaque setrelated to ApproximationPach0.60section
Opaque setrelated to ApproximationTóth0.60section
Opaque setrelated to ApproximationFor0.60section
Opaque setrelated to ApproximationThe0.60section
Opaque setrelated to ApproximationU-shaped0.60section
Opaque setrelated to ApproximationThis0.60section
Opaque setrelated to ApproximationSteiner0.60section

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