From planar to spatial Euclidean and Minkowski Pythagorean hodograph curves

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F11%3A43899235" target="_blank" >RIV/49777513:23520/11:43899235 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
From planar to spatial Euclidean and Minkowski Pythagorean hodograph curves
Original language description
Spatial Pythagorean hodograph (PH) curves, both in Euclidean and Minkowski 3-space, were originally introduced as polynomial curves with polynomial speed measured with respect to Euclidean or Minkowski norm, respectively. Recently, Kosinka and Lávička (2010) extended the notion of MPH curves also to the rational case by prescribing an associated planar rational PH curve and an additional rational function. At the same time, Farouki and Šír (2011) presented a method for constructing rational Euclidean PHcurves in 3-space based on a field of rational unit tangent vectors. In this paper, we summarise known constructions and present a unifying idea for rational PH curves in Euclidean and Minkowski 3-space.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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