A new definition of affine invariant erosion of 3D surfaces is introduced. Instead of being based in terms of Euclidean distances, the volumes enclosed between the surface and its chords are used. The resulting erosion is insensitive to noise, and by construction, it is affine invariant. We prove some key properties about this erosion operation, and we propose a simple method to compute the erosion of implicit surfaces. We also discuss how the affine erosion can be used to define 3D affine invariant robust skeletons.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Affine invariant erosion of 3D shapes


    Beteiligte:
    Betelu, S. (Autor:in) / Sapiro, G. (Autor:in) / Tannenbaum, A. (Autor:in)


    Erscheinungsdatum :

    2001-01-01


    Format / Umfang :

    774683 byte




    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Affine Invariant Erosion of 3D Shapes

    Betelu, S. / Sapiro, G. / Tannenbaum, A. et al. | British Library Conference Proceedings | 2001


    Affine Invariant Geometry for Non-rigid Shapes

    Raviv, D. / Kimmel, R. | British Library Online Contents | 2015


    Affine-invariant image retrieval by correspondence matching of shapes

    Shen, D. / Wong, W.-h. / Ip, H.H.S. | British Library Online Contents | 1999



    Affine invariant edge completion with affine geodesics

    Handzel, A.A. / Flash, T. | IEEE | 2001