Planar \(G^{2}\) transition curves composed of cubic Bézier spiral segments (Q1405208)

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scientific article; zbMATH DE number 1970757
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Planar \(G^{2}\) transition curves composed of cubic Bézier spiral segments
scientific article; zbMATH DE number 1970757

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    Planar \(G^{2}\) transition curves composed of cubic Bézier spiral segments (English)
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    25 August 2003
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    In curve and surface design it is desirable to have a planar transition curve composed of at most two spiral segments. This paper generalizes earlier results on planar cubic Bézier spiral segments proposed as transition curve elements, and examines techniques for curve design using the new results.
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    cubic Bézier spiral segments
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    curvature extrema
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    fair curve
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    surface design
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    transition curve
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    curve design
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