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Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in \(\mathbb{R}^ 3\) - MaRDI portal

Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in \(\mathbb{R}^ 3\) (Q1334850)

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scientific article; zbMATH DE number 644303
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English
Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in \(\mathbb{R}^ 3\)
scientific article; zbMATH DE number 644303

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    Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in \(\mathbb{R}^ 3\) (English)
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    2 February 1995
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    The authors study a completely local polynomial interpolation method; they show that degenerate patches can be used for the construction of the interpolating surface. Such surface contains points which are non- regular. They design an interpolation method based on quartic and quintic patches. Several examples are given.
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    degenerate polynomial patches
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    geometrically smooth interpolation
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    Bernstein-Bézier representation
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    local polynomial interpolation method
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    interpolating surface
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