Non-uniform quaternion spline interpolation in vehicle kinematics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F22%3A43966692" target="_blank" >RIV/49777513:23520/22:43966692 - isvavai.cz</a>

Výsledek na webu

<a href="http://hdl.handle.net/11025/50366" target="_blank" >http://hdl.handle.net/11025/50366</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Non-uniform quaternion spline interpolation in vehicle kinematics

Popis výsledku v původním jazyce

Interpolation plays an important role in nowadays world. The main areas where interpolation is applied are robotics, automotive, medicine, biology etc. In this work we consider the application of B-splines (cumulative) for the non-uniform interpolation of quaternions. This requires to overcome some difficulties. Firstly it is necessary to compute control points to fulfil the basic interpolation property. Second problem is hidden in non-uniformity of data points as formulas available for quaternion spline interpolation generally consider uniformly distributed points. The last problem lies in discretization: to achieve desired maximum error of the interpolation we have to choose the proper density of interpolation points. The proposed theory was implemented in the in-house computational tool and it was used for the interpolation of suspension kinematics in automotive applications.

Název v anglickém jazyce

Non-uniform quaternion spline interpolation in vehicle kinematics

Popis výsledku anglicky

Interpolation plays an important role in nowadays world. The main areas where interpolation is applied are robotics, automotive, medicine, biology etc. In this work we consider the application of B-splines (cumulative) for the non-uniform interpolation of quaternions. This requires to overcome some difficulties. Firstly it is necessary to compute control points to fulfil the basic interpolation property. Second problem is hidden in non-uniformity of data points as formulas available for quaternion spline interpolation generally consider uniformly distributed points. The last problem lies in discretization: to achieve desired maximum error of the interpolation we have to choose the proper density of interpolation points. The proposed theory was implemented in the in-house computational tool and it was used for the interpolation of suspension kinematics in automotive applications.

Druh

O - Ostatní výsledky

CEP obor

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OECD FORD obor

20302 - Applied mechanics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů