Hybrid boundary-medial shape description for biologically variable shapes

Martin Styner, Guido Gerig

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    Knowledge about the biological variability of anatomical objects is essential for statistical shape analysis and a discrimination between healthy and pathological structures. This paper describes ongoing research on a novel approach that incorporates variability of a training set into the generation of a characteristic 3D shape model. The proposed shape representation is a hybrid of a fine-scale global boundary description and a coarse-scale local medial description. The hybrid overcomes inherent limitations of pure medial based or pure boundary based descriptions. The medial description composed of a net of medial primitives (M-rep) with fixed graph properties is derived from the shape space spanned by the major deformation eigenmodes of a boundary description based on spherical harmonic descriptors (SPHARM). The topology of the M-rep is determined by studying pruned 3D Voronoi skeletons in the given shape space. Shapes are characterized by its SPHARM descriptors and an individually deformed M-rep model. The hybrid shape description gives an implicit correspondence on the boundary and on the medial manifold, thus enabling a more powerful statistical analysis.

    Original languageEnglish (US)
    Title of host publicationProceedings of the Workshop on Mathematical Methods in Biomedical Image Analysis
    PublisherIEEE
    Pages235-242
    Number of pages8
    StatePublished - 2000
    EventMMBIA-2000: IEEE Workshop on Mathematical Methods in Biomedical Image Analysis - Hilton Head Island, SC, USA
    Duration: Jun 11 2000Jun 12 2000

    Other

    OtherMMBIA-2000: IEEE Workshop on Mathematical Methods in Biomedical Image Analysis
    CityHilton Head Island, SC, USA
    Period6/11/006/12/00

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    ASJC Scopus subject areas

    • Analysis

    Cite this

    Styner, M., & Gerig, G. (2000). Hybrid boundary-medial shape description for biologically variable shapes. In Proceedings of the Workshop on Mathematical Methods in Biomedical Image Analysis (pp. 235-242). IEEE.