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2011 ; 15
(6
): 814-29
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Morphological appearance manifolds for group-wise morphometric analysis
#MMPMID21873104
Lian NX
; Davatzikos C
Med Image Anal
2011[Dec]; 15
(6
): 814-29
PMID21873104
show ga
Computational anatomy quantifies anatomical shape based on diffeomorphic
transformations of a template. However, different templates warping algorithms,
regularization parameters, or templates, lead to different representations of the
same exact anatomy, raising a uniqueness issue: variations of these parameters
are confounding factors as they give rise to non-unique representations.
Recently, it has been shown that learning the equivalence class derived from the
multitude of representations of a given anatomy can lead to improved and more
stable morphological descriptors. Herein, we follow that approach, by
approximating this equivalence class of morphological descriptors by a
(nonlinear) morphological appearance manifold fitting to the data via a locally
linear model. Our approach parallels work in the computer vision field, in which
variations lighting, pose and other parameters lead to image appearance manifolds
representing the exact same figure in different ways. The proposed framework is
then used for group-wise registration and statistical analysis of biomedical
images, by employing a minimum variance criterion to perform manifold-constrained
optimization, i.e. to traverse each individual's morphological appearance
manifold until group variance is minimal. The hypothesis is that this process is
likely to reduce aforementioned confounding effects and potentially lead to
morphological representations reflecting purely biological variations, instead of
variations introduced by modeling assumptions and parameter settings.