In this paper, we propose a numerical algorithm for extracting the topology of a three-dimensional object (2 dimensional surface) embedded in a three-dimensional space /spl Ropf//sup 3/. The method is based on capturing the topology of a modified Reeb graph by tracking the critical points of a distance function. As such, the approach employs Morse theory in the study of translation, rotation, and scale invariant skeletal graphs. The latter are useful in the representation and classification of objects in /spl Ropf//sup 3/.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Rotation invariant topology coding of 2D and 3D objects using Morse theory


    Beteiligte:
    Baloch, S. (Autor:in) / Krim, H. (Autor:in) / Kogan, I. (Autor:in) / Zenkov, D. (Autor:in)


    Erscheinungsdatum :

    2005-01-01


    Format / Umfang :

    290556 byte




    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Rotation Invariant Topology Coding of 2D and 3D Objects using Morse Theory

    Baloch, S. / Krim, H. / Kogan, I. et al. | British Library Conference Proceedings | 2005


    Topological analysis of shapes using Morse theory

    Allili, M. / Corriveau, D. | British Library Online Contents | 2007


    Rotation Invariant Texture Classification using Covariance

    Madiraju, S. V. R. / Liu, C.-C. / IEEE; Signal Processing Society | British Library Conference Proceedings | 1994


    Recognizing 3D Objects Using Photometric Invariant

    Nagao, K. / IEEE Computer Society / Technical Committee on Pattern Analysis and Machine Intelligence | British Library Conference Proceedings | 1995


    Morse remorse

    British Library Online Contents | 1997