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Bentley–Ottmann algorithm

In computational geometry, the Bentley–Ottmann algorithm is a sweep line algorithm for listing all crossings in a set of line segments, i.e. it finds the intersection points (or, simply, intersections) of line segments. It extends the Shamos–Hoey algorithm, a similar previous algorithm for testing whether or not a set of line segments has any crossings.…

Data structures, Faster algorithms & Numerical precision issues

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Overall strategy

Data structures

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Numerical precision issues

Faster algorithms

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Map overview Semantic statistics

Bentley–Ottmann algorithm

Nodes37
Edges36
Triples62
Avg. degree1.95
Density0.054054
Components1

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Bentley–Ottmann algorithm

Top relations

related to Faster algorithms · 17
Bentley–Ottmann algorithm → As Clarkson, Balaban, Bentley, Both, Chazelle, Clarkson, Cole, Edelsbrunner, Eppstein, Goodrich, However, If, Mulmuley, Ottmann, Strash, Tarjan, The
related to Detailed algorithm · 12
Bentley–Ottmann algorithm → After, Determine, Even, Find, If, Initialize, Initially, Ottmann, Remove, So, The Bentley, While
related to Analysis · 8
Bentley–Ottmann algorithm → All, As, Each, Hence, Ottmann, The, The Bentley, This
related to Numerical precision issues · 7
Bentley–Ottmann algorithm → Bentley, Boissonat, For, However, Ottmann, Preparata, The
related to Data structures · 6
Bentley–Ottmann algorithm → Bentley, In, Ottmann, The, The Bentley, Thus
related to External links · 6
Bentley–Ottmann algorithm → Bentley, Computing, Michiel, Ottmann, PDF, Smid
related to Overall strategy · 4
Bentley–Ottmann algorithm → Bentley, No, Ottmann, The
is a · 1
Bentley–Ottmann algorithm → sweep line algorithm for listing all crossings in a set of line segments

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Important terminology

algorithm segments line event ottmann bentley points segment intersection crossing point input events crossings queue endpoint time doi may log

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bentley–Ottmann algorithmis asweep line algorithm for listing all crossings in a set of line segments0.90text
a Fibonacci heap are not necessaryinstance ofmore sophisticated priority queues0.80text
Bentley–Ottmann algorithmrelated to AnalysisThe0.60section
Bentley–Ottmann algorithmrelated to AnalysisThis0.60section
Bentley–Ottmann algorithmrelated to AnalysisAs0.60section
Bentley–Ottmann algorithmrelated to AnalysisThe Bentley0.60section
Bentley–Ottmann algorithmrelated to AnalysisOttmann0.60section
Bentley–Ottmann algorithmrelated to AnalysisEach0.60section
Bentley–Ottmann algorithmrelated to AnalysisAll0.60section
Bentley–Ottmann algorithmrelated to AnalysisHence0.60section
Bentley–Ottmann algorithmrelated to Data structuresIn0.60section
Bentley–Ottmann algorithmrelated to Data structuresBentley0.60section

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