\(G^1\) interpolation with a single Cornu spiral segment (Q953373)
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scientific article; zbMATH DE number 5370020
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(G^1\) interpolation with a single Cornu spiral segment |
scientific article; zbMATH DE number 5370020 |
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\(G^1\) interpolation with a single Cornu spiral segment (English)
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20 November 2008
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The problem of a two point \(G^1\) Hermite interpolation using the Cornu spiral (clothoid, Euler spiral) without pre-processing is considered. The solution proposed is based on bisection (Newton-Raphson iteration) which is simpler than numerical optimization. Five illustrative examples treat both \(C\)- and \(S\)-shape cases.
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Cornu spiral
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clothoid
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Euler spiral
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\(G^1\) interpolation
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numerical examples
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Hermite interpolation
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