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  • Title: Shape registration by simultaneously optimizing representation and transformation.
    Author: Jiang Y, Xie J, Sun D, Tsui H.
    Journal: Med Image Comput Comput Assist Interv; 2007; 10(Pt 2):809-17. PubMed ID: 18044643.
    Abstract:
    This paper proposes a novel approach that achieves shape registration by optimizing shape representation and transformation simultaneously, which are modeled by a constrained Gaussian Mixture Model (GMM) and a regularized thin plate spline respectively. The problem is formulated within a Bayesian framework and solved by an expectation-maximum (EM) algorithm. Compared with the popular methods based on landmarks-sliding, its advantages include: (1) It can naturally deal with shapes of complex topologies and 3D dimension; (2) It is more robust against data noise; (3) The registration performance is better in terms of the generalization error of the resultant statistical shape model. These are demonstrated on both synthetic and biomedical shapes.
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