The shape representation and modeling based on implicit functions have received considerable attention in computer vision literature. In this paper, we propose extended hyperquadrics, as a generalization of hyperquadrics developed by Hanson, for modeling global geometric shapes. The extended hyperquadrics can strengthen the representation power of hyperquadrics, especially for the object with concavities. We discuss the distance measures between extended hyperquadric surfaces and given data set and their minimization to obtain the optimum model parameters. We present several experimental results for fitting extended hyperquadrics to 3D real and synthetic data. We demonstrate that extended hyperquadrics can model more complex shapes than hyperquadrics, maintaining many desirable properties of hyperquadrics.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Three-dimensional shape modeling with extended hyperquadrics


    Beteiligte:
    Ohuchi, M. (Autor:in) / Saito, T. (Autor:in)


    Erscheinungsdatum :

    01.01.2001


    Format / Umfang :

    877668 byte




    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Three-Dimensional Shape Modeling with Extended Hyperquadrics

    Ohuchi, M. / Saito, T. / National Research Council of Canada | British Library Conference Proceedings | 2001



    A Hybrid Shape Decomposition using Hyperquadrics and Mathematical Morphology

    Ho Sung Kim / Haralick, R. M. / IEEE; Signal Processing Society | British Library Conference Proceedings | 1994



    Model Based Part Segmentation of Range Data - Hyperquadrics and Dividing Planes

    Kumar, S. / Goldgof, D. / IEEE et al. | British Library Conference Proceedings | 1995