Parametric curves with Pythagorean binormal (Q897466)
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scientific article; zbMATH DE number 6516799
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parametric curves with Pythagorean binormal |
scientific article; zbMATH DE number 6516799 |
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Parametric curves with Pythagorean binormal (English)
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7 December 2015
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The authors present a new class of rational spatial curves with rational binormal. They call this new class PB curves. Also, the construction of this kind of curves (PB curves) is presented based upon the dual curve representation and the Euler-Rodrigues frame obtained from quaternion polynomials. In the final part of the paper, some PB curves of degree \(\geq 7\) and rational PB curves of degree \(\geq 6\) are investigated.
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Pythagorean-hodograph
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Pythagorean-binormal
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rational curve
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dual coordinates
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rotation-minimizing frame
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osculating frame
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Euler-Rodrigues frame
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quaternion polynomials
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