Pythagorean Hodograph Curves: A Survey of Recent Advances

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F14%3A43922370" target="_blank" >RIV/49777513:23520/14:43922370 - 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
Pythagorean Hodograph Curves: A Survey of Recent Advances
Original language description
Pythagorean hodograph (PH) curves, defined by Farouki and Sakkalis in 1990, and their applications in offsetting, CNC machining, motion planning etc., have become an active research area in recent years. These curves (and other objects with a Pythagoreanproperty) have fascinated many researchers and one can find hundreds of papers devoted to this beautiful topic. An early survey on PH curves was done by Farouki in Section 17 of the Handbook of Computer Aided Geometric Design (2002). In 2008, a specialissue of the journal CAGD was devoted to ``Pythagorean-hodograph curves and related topics''. A unified introduction to existing material on shapes with the Pythagorean property and also new research starting points were described in the book by Faroukiin the same year. This book can also serve as a detailed survey of the literature concerning PH curves and related topics. However, development never stops and recent years have seen further intensive investigation in the field of PH curv
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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Project
<a href="/en/project/ED1.1.00%2F02.0090" target="_blank" >ED1.1.00/02.0090: NTIS - New Technologies for Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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