Characterization and construction of helical polynomial space curves. (Q1421238)
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scientific article; zbMATH DE number 2032632
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization and construction of helical polynomial space curves. |
scientific article; zbMATH DE number 2032632 |
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Characterization and construction of helical polynomial space curves. (English)
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26 January 2004
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This paper deals with helical polynomial space curves. Two types of Pythagorean-hodograph (PH) quintic helix are identified: the ``monotone-helical'' PH quintics and general helical PH quintics. Characterizations and construction algorithms for the monotone-helical PH quintics and a sufficient condition for PH quintics to belong to the general class of helical PH quintics are given. First-order Hermite interpolation algorithms are developed for both helical PH quintic types.
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Pythagorean-hodograph curves
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quaternions
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tangent indicatrix
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rational
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quartic
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curvature
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torsion
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helix
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Hermite interpolation
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energy integral
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algorithms
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0.92997086
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0.8824414
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0.88151157
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0.8805315
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0.87333477
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0.8716069
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0.8707404
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