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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

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

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

  • OECD FORD branch

    20302 - Applied mechanics

Result continuities

  • Project

  • 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