In this paper we show how both geometry-driven diffusion and optimization of the Mumford-Shah functional can be used to develop a type of curve-evolution that is able to preserve salient features of closed curves (such as corners and straight line segments), while simultaneously suppressing noise and irrelevant details. The idea is to characterize the curve by means of its angle-function (i.e. the angle between the tangent and a fixed axis) and to apply the appropriate dynamics to this one-dimensional representation. We show how constrained evolution equations can be used to keep the corresponding curve closed at all times.<>


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Shape-extraction for curves using geometry-driven diffusion and functional optimization


    Beteiligte:
    Pauwels, E.J. (Autor:in) / Fiddelaers, P. (Autor:in) / Van Gool, L.J. (Autor:in)


    Erscheinungsdatum :

    01.01.1995


    Format / Umfang :

    556855 byte




    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Shape Extraction for Curves Using Geometry-Driven Diffusion and Functional Optimization

    Pauwels, E. / Fiddelaers, P. / Van Gool, L. et al. | British Library Conference Proceedings | 1995



    Aerodynamic Shape Optimization Using Geometry Surrogates and Adjoint Method

    Bobrowski, Kamil / Ferrer, Esteban / Valero, Eusebio et al. | AIAA | 2017


    Three-dimensional shape optimization with variational geometry

    Chen, Shanshin / Tortorelli, Daniel | AIAA | 1996


    Three-Dimensional Shape Optimization with Variational Geometry

    Chen, S. / Tortorelli, D. / American Institute of Aeronautics and Astronautics et al. | British Library Conference Proceedings | 1996