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Test for intersection between a plane and a connected compact polyhedron - MaRDI portal

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Test for intersection between a plane and a connected compact polyhedron (Q1335437)

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scientific article; zbMATH DE number 646958
Language Label Description Also known as
English
Test for intersection between a plane and a connected compact polyhedron
scientific article; zbMATH DE number 646958

    Statements

    title
    Test for intersection between a plane and a connected compact polyhedron (English)
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    author
    Ching-Kuang Shene
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    publication date
    28 March 1995
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    review text
    A method of constructing a test for intersection between a plane and a connected compact polyhedron with a finite number of vertices is proposed. Using linear programming, the intersection test is transformed to compute the range of a linear function, and then test to see whether it contains zero. A complexity analysis of the algorithm and computer experiment examples are presented.
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    zbMATH Keywords
    geometric intersections
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    range computations
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    numerical examples
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    complexity
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    linear programming
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    algorithm
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    Identifiers

    Mathematics Subject Classification ID
    65D18
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    65G30
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    68U05
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    51N05
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    zbMATH DE Number
    646958
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    OpenAlex ID
    W2034004100
    0 references
     
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