Non-uniform quaternion spline interpolation in vehicle kinematics
The result's identifiers
Result code in 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>
Result on the web
<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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Alternative languages
Result language
angličtina
Original language name
Non-uniform quaternion spline interpolation in vehicle kinematics
Original language description
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.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
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OECD FORD branch
20302 - Applied mechanics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů