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Planar two-point \(G^1\) Hermite interpolating log-aesthetic spirals - MaRDI portal

Planar two-point \(G^1\) Hermite interpolating log-aesthetic spirals (Q442741)

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scientific article; zbMATH DE number 6063180
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English
Planar two-point \(G^1\) Hermite interpolating log-aesthetic spirals
scientific article; zbMATH DE number 6063180

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    Planar two-point \(G^1\) Hermite interpolating log-aesthetic spirals (English)
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    3 August 2012
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    The authors discuss on log-aesthetic spirals of zero curvature at a finite place. They show that a unique \(C\)-spiral segment or a unique \(S\)-spiral segment can be found, and they actually match \(G^1\) Hermite data, which consist of two points and some restricted angles (i.e, less than \(2\pi\)). Those log-aesthetic spirals can be used in computer aided design.
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    log-aesthetic spiral
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    \(G^1\) Hermite interpolation
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    computer aided design
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