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On computing the intersection of a pair of algebraic surfaces - MaRDI portal

On computing the intersection of a pair of algebraic surfaces (Q913442)

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scientific article; zbMATH DE number 4147385
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On computing the intersection of a pair of algebraic surfaces
scientific article; zbMATH DE number 4147385

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    On computing the intersection of a pair of algebraic surfaces (English)
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    1989
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    The paper addresses the problem of intersecting two surfaces, both given in the form \(f(x,y,z)=0\). An efficient data structure for the representation of the intersection curve is provided. As a byproduct, one can compute the irreducible components of the algebraic intersection curve and their corresponding multiplicities.
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    geometric modelling
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    algebraic surface intersection
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    projection
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    algebraic space curve
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    data structure
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    irreducible space curve
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    birational map
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    implicit surfaces
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    algebraic intersection curve
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