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  • 1
    Electronic Resource
    Electronic Resource
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Biomedical Engineering 4 (2002), S. 375-405 
    ISSN: 1523-9829
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Technology , Medicine
    Notes: Abstract This paper reviews literature, current concepts and approaches in computational anatomy (CA). The model of CA is a Grenander deformable template, an orbit generated from a template under groups of diffeomorphisms. The metric space of all anatomical images is constructed from the geodesic connecting one anatomical structure to another in the orbit. The variational problems specifying these metrics are reviewed along with their associated Euler-Lagrange equations. The Euler equations of motion derived by Arnold for the geodesics in the group of divergence-free volume-preserving diffeomorphisms of incompressible fluids are generalized for the larger group of diffeomorphisms used in CA with nonconstant Jacobians. Metrics that accommodate photometric variation are described extending the anatomical model to incorporate the construction of neoplasm. Metrics on landmarked shapes are reviewed as well as Joshi's diffeomorphism metrics, Bookstein's thin-plate spline approximate-metrics, and Kendall's affine invariant metrics. We conclude by showing recent experimental results from the Toga & Thompson group in growth, the Van Essen group in macaque and human cortex mapping, and the Csernansky group in hippocampus mapping for neuropsychiatric studies in aging and schizophrenia.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 82 (1989), S. 625-645 
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary This paper presents a maximum likelihood estimation method for imperfectly observed Gibbsian fields on a finite lattice. This method is an adaptation of the algorithm given in Younes [28]. Presentation of the new algorithm is followed by a theorem about the limit of the second derivative of the likelihood when the lattice increases, which is related to convergence of the method. Some practical remarks about the implementation of the procedure are eventually given.
    Type of Medium: Electronic Resource
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  • 3
    Book
    Book
    Paris ; Berlin ; Heidelberg ; New York ; Hong Kong ; Londres ; Milan ; Tokyo :Springer,
    Title: Invariance, déformations et reconnaissance de formes /; 44
    Author: Younes, Laurent
    Publisher: Paris ; Berlin ; Heidelberg ; New York ; Hong Kong ; Londres ; Milan ; Tokyo :Springer,
    Year of publication: 2004
    Pages: XVII, 248 S. : , Ill., graph. Darst.
    Series Statement: Mathématiques & applications 44
    ISBN: 3-540-40868-1
    Type of Medium: Book
    Language: French
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  • 4
    Book
    Book
    Berlin, Heidelberg :Springer,
    Title: Shapes and Diffeomorphisms /; 171
    Author: Younes, Laurent
    Publisher: Berlin, Heidelberg :Springer,
    Year of publication: 2010
    Series Statement: Applied mathematical sciences 171
    ISBN: 978-3-642-12055-8 , 978-3-642-12054-1
    Type of Medium: Book
    Language: English
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