@CONFERENCE\{IMM2008-05594,
    author       = "S. G. H. Erbou and S. Darkner and J. Fripp and S. Ourselin and B. K. Ersb{\o}ll",
    title        = "Estimation of shape model parameters for {3D} surfaces",
    year         = "2008",
    month        = "may",
    keywords     = "Image shape analysis, Image registration, Biomedical image processing, Optimization methods, {X-}ray tomography",
    pages        = "624-627",
    booktitle    = "5th {IEEE} International Symposium on Biomedical Imaging",
    volume       = "",
    series       = "",
    editor       = "",
    publisher    = "",
    organization = "",
    address      = "",
    url          = "http://www2.compute.dtu.dk/pubdb/pubs/5594-full.html",
    abstract     = "Statistical shape models are widely used as a compact way of representing shape variation. Fitting a shape model to unseen data enables characterizing the data in terms of the model parameters. In this paper a Gauss-Newton optimization scheme is proposed to estimate shape model parameters of {3D} surfaces using distance maps, which enables the estimation of model parameters without the requirement of point correspondence. For applications with acquisition limitations such as speed and cost, this formulation enables the fitting of a statistical shape model to arbitrarily sampled data. The method is applied to a database of {3D} surfaces from a section of the porcine pelvic bone extracted from 33 {CT} scans. A leave-one-out validation shows that the parameters of the first 3 modes of the shape model can be predicted with a mean difference within [-0.01,0.02] from the true mean, with a standard deviation less than 0.34."
}