Interpolations by Rational Motions Using Dual Quaternions

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F17%3A43932253" target="_blank" >RIV/49777513:23520/17:43932253 - isvavai.cz</a>
Výsledek na webu
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Jazyk výsledku
angličtina
Název v původním jazyce
Interpolations by Rational Motions Using Dual Quaternions
Popis výsledku v původním jazyce
The main aim of this paper is to show an application of dual quater- nions related to a rational spline motion. The interpolation by rational spline motions is an important part of technical practice, e.g., in robotics. Therefore, we will focus on most simple examples of piecewise rational motions with first and second order geometric continuity, in particular, a cubic G2 Hermite interpolation. Consequently, it is shown that the new approach to rational spline motion design based on dual quaternions is an elegant mathematical method.
Název v anglickém jazyce
Interpolations by Rational Motions Using Dual Quaternions
Popis výsledku anglicky
The main aim of this paper is to show an application of dual quater- nions related to a rational spline motion. The interpolation by rational spline motions is an important part of technical practice, e.g., in robotics. Therefore, we will focus on most simple examples of piecewise rational motions with first and second order geometric continuity, in particular, a cubic G2 Hermite interpolation. Consequently, it is shown that the new approach to rational spline motion design based on dual quaternions is an elegant mathematical method.

Rok uplatnění
2017
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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