Abstract To optimize the shape of a generic winged vehicle, we generate the exterior of the vehicle from a discrete number of points. Computing a continuous vehicle surface from these points requires an interpolation algorithm. In this work, we use cubic splines and spline surfaces as the interpolation scheme. In this chapter the basics of these methods, as well as some issues pertaining to their implementation, are discussed. The splines and spine surfaces are presented in both Hermite and Bézier formulation, and the link between the two is used to enforce that the spline surface net shows neither concavity nor self-intersection.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Numerical Interpolation


    Beteiligte:
    Dirkx, Dominic (Autor:in) / Mooij, Erwin (Autor:in)


    Erscheinungsdatum :

    2016-12-10


    Format / Umfang :

    13 pages





    Medientyp :

    Aufsatz/Kapitel (Buch)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Interpolation in Numerical Optimization

    KENNETH R. HALL AND DAVID G. HULL | AIAA | 1975


    Numerical Curve Length Calculation Using Polynomial Interpolation

    Eisa, S. A. | British Library Online Contents | 2014


    A Numerical Investigation of Interpolation Methods for Acoustic Analogies

    Kierkegaard, Axel / Efraimsson, Gunilla | AIAA | 2010



    Beyond interpolation: optimal reconstruction by quasi-interpolation

    Condat, L. / Blu, T. / Unser, M. | IEEE | 2005