Curves of Tschirnhaus Type -- Brief Commentary on~Interpolations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F21%3A43963490" target="_blank" >RIV/49777513:23520/21:43963490 - isvavai.cz</a>
Result on the web
<a href="http://www.ssgg.sk/scg/archiv/scg2021_online.pdf" target="_blank" >http://www.ssgg.sk/scg/archiv/scg2021_online.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Curves of Tschirnhaus Type -- Brief Commentary on~Interpolations
Original language description
Recently, a class of polynomial curves which are, in some sense, a generalization of the famous Tschirnhaus Pythagorean hodograph (PH) cubic was presented and discussed. Although the research was mostly theoretical as applications of PH curves of Tschirnhaus type are as limited as in the case of the cubic, certain interpolation procedures can be formulated when biarcs are used. For instance, the $C^1$ or $C^2$ joints can be easily expressed in the ``language of generating triangles'' and the corresponding computational formulas possess a simple form.
Czech name
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Czech description
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Project
<a href="/en/project/GF21-08009K" target="_blank" >GF21-08009K: Generalized Symmetries and Equivalences of Geometric Data</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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