2010
DOI: 10.1016/j.media.2010.05.008
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Manifold modeling for brain population analysis

Abstract: This paper describes a method for building efficient representations of large sets of brain images. Our hypothesis is that the space spanned by a set of brain images can be captured, to a close approximation, by a low-dimensional, nonlinear manifold. This paper presents a method to learn such a low-dimensional manifold from a given data set. The manifold model is generative-brain images can be constructed from a relatively small set of parameters, and new brain images can be projected onto the manifold. This a… Show more

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Cited by 118 publications
(124 citation statements)
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“…In the first strategy, as suggested by previous studies (Gerber et al 2010), we used embedding techniques to project the peri-hippocampal VOI i ( ) ω voxel intensities, and the related voxel-wise warp displacements VOI i ( ) F (accounting for ∼17 000 voxels), into low dimensional manifolds. Subsequently, the k atlases nearest to the volume of interest of the validation image VOI v ( ) ω Figure 1.…”
Section: Atlas Selectionmentioning
confidence: 99%
“…In the first strategy, as suggested by previous studies (Gerber et al 2010), we used embedding techniques to project the peri-hippocampal VOI i ( ) ω voxel intensities, and the related voxel-wise warp displacements VOI i ( ) F (accounting for ∼17 000 voxels), into low dimensional manifolds. Subsequently, the k atlases nearest to the volume of interest of the validation image VOI v ( ) ω Figure 1.…”
Section: Atlas Selectionmentioning
confidence: 99%
“…However, these works used linear or logistic regression techniques, which are not necessarily suited to compute statistics on cardiac motion and deformation patterns. For our concrete application, we preferred a formulation based on spectral embedding [11] and kernel regression [3,4] against a Bayesian formulation, in order to minimize the amount of a-priori knowledge in our method.…”
Section: Introductionmentioning
confidence: 99%
“…There has been much interest in identifying and combining additional information in the manifold learning step to improve the resulting embeddings. The manifold structure of brain images has been estimated in [1] based on pairwise non-rigid transformations, whereas in [2] similarities were derived from overlaps of their structural segmentations. In [3], shape and appearance information was combined in a joint embedding for an improved characterization of brain development and in [4] clinical information was incorporated into the embedding construction.…”
Section: Introductionmentioning
confidence: 99%