2007
DOI: 10.1109/tmi.2006.887380
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Large Deformation Diffeomorphism and Momentum Based Hippocampal Shape Discrimination in Dementia of the Alzheimer type

Abstract: In large-deformation diffeomorphic metric mapping (LDDMM), the diffeomorphic matching of images are modeled as evolution in time, or a flow, of an associated smooth velocity vector field v controlling the evolution. The initial momentum parameterizes the whole geodesic and encodes the shape and form of the target image. Thus, methods such as principal component analysis (PCA) of the initial momentum leads to analysis of anatomical shape and form in target images without being restricted to small-deformation as… Show more

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Cited by 146 publications
(115 citation statements)
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“…This problem therefore directly relates to geodesics in groups of diffeomorphisms, namely to the EPDiff equation [1,18,14], and the conserved initial momentum that specifies the solution has been used in statistical studies in order to provide anatomical characterizations of mental disorders [22,31]. One of the issues in problems formulated as (1) is that the error term breaks the metric aspects inherited from the distance d on diffeomorphisms.…”
Section: Find Arg Min D(id G)mentioning
confidence: 99%
“…This problem therefore directly relates to geodesics in groups of diffeomorphisms, namely to the EPDiff equation [1,18,14], and the conserved initial momentum that specifies the solution has been used in statistical studies in order to provide anatomical characterizations of mental disorders [22,31]. One of the issues in problems formulated as (1) is that the error term breaks the metric aspects inherited from the distance d on diffeomorphisms.…”
Section: Find Arg Min D(id G)mentioning
confidence: 99%
“…However, voxelwise labeling methods that employ probabilistic-atlases often involve averaging a training set which may cause some fine details to be lost when labeling voxels in a target scan. Also, similar to manual segmentations, voxel-wise labeling can also lead to non-smooth subcortical segmentations that may confound downstream shape analysis algorithms Wang et al (2007a) due to "shape-noise". Another limitation is with respect to the adaptability to differing protocols for defining subcortical shapes.…”
mentioning
confidence: 99%
“…Wang et al describe how in the framework of a largedeformation diffeomorphic metric mapping (LDDMM) the diffeomorphic matching of images is modeled as the change with time of a flow of an associated smooth velocity vector field v controlling the evolution [53]. The initial momentum parameterizes the whole geodesic and encodes the shape and form of the target image.…”
Section: Automatic Methodsmentioning
confidence: 99%