Parametrization of closed surfaces for 3-D shape description

Ch Brechbuhler, Guido Gerig, O. Kubler

    Research output: Contribution to journalArticle

    Abstract

    A set of procedures for the explicit parametric representation and global description of surfaces of simply connected 3-D objects is presented. The proposed schemes overcome the shortcomings of earlier methods, such as constraints on positioning and shape of cross-sections. A continuous, one-to-one mapping from the surface of the original object to the surface of a unit sphere is used in the parametrization which is presented as an optimization problem. This approach allows the expansion of the object surface into a series of spherical harmonic functions, extending to 3-D the concept of elliptical Fourier descriptors for 2-D closed curves.

    Original languageEnglish (US)
    Pages (from-to)154-170
    Number of pages17
    JournalComputer Vision and Image Understanding
    Volume61
    Issue number2
    DOIs
    StatePublished - Mar 1995

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    Harmonic functions

    ASJC Scopus subject areas

    • Computer Vision and Pattern Recognition
    • Signal Processing
    • Electrical and Electronic Engineering
    • Software

    Cite this

    Parametrization of closed surfaces for 3-D shape description. / Brechbuhler, Ch; Gerig, Guido; Kubler, O.

    In: Computer Vision and Image Understanding, Vol. 61, No. 2, 03.1995, p. 154-170.

    Research output: Contribution to journalArticle

    Brechbuhler, Ch ; Gerig, Guido ; Kubler, O. / Parametrization of closed surfaces for 3-D shape description. In: Computer Vision and Image Understanding. 1995 ; Vol. 61, No. 2. pp. 154-170.
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