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Docteur de l'université Automatic Segmentation and Shape Analysis ...

Docteur de l'université Automatic Segmentation and Shape Analysis ...

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Chapter 5 Quantitative shape analysis of hippocampus in AD 111<br />

morphological variation on these regions as variables to <strong>de</strong>scribe the AD pathology<br />

as they improve the discrimination between the classes <strong>and</strong> are correlated with the<br />

measures of memory <strong>de</strong>cline associated with the disease.<br />

We mo<strong>de</strong>l the morphology of hippocampus by SSMs, <strong>and</strong> use the shape <strong>de</strong>scriptors<br />

<strong>de</strong>rived from the SSM to <strong>de</strong>tect the effect of AD on the hippocampal size <strong>and</strong> its<br />

shape. Descriptors produced by different mo<strong>de</strong>ls serve as features for machine<br />

learning algorithms <strong>and</strong> are evaluated in terms of their prediction performance in<br />

distinguishing AD from NC.<br />

The method used to extract relevant shape information from SSMs can be divi<strong>de</strong>d<br />

into two steps: 1) the localization step, <strong>and</strong> 2) the shape mo<strong>de</strong>ling step. The<br />

processing pipeline is shown in Figure 5.1. In the localization step, we build up<br />

the correspon<strong>de</strong>nce on hippocampal surface over a training set of both NC <strong>and</strong><br />

AD subjects. Once the correspon<strong>de</strong>nce problem is solved, all the l<strong>and</strong>marks on<br />

the hippocampal surfaces are aligned by Procrustes analysis (Gower, 1975). A<br />

statistical test can be performed on each l<strong>and</strong>mark to evaluate the significance of<br />

the difference between the distributions of aligned points of the NC group <strong>and</strong> the<br />

AD group.<br />

The resulting significance map produced by the statistical tests in the localization<br />

step can be threshol<strong>de</strong>d to obtain a surface mask of l<strong>and</strong>marks. In the shape<br />

mo<strong>de</strong>ling step, we apply these masks to the hippocampal surface to select a subset<br />

of hippocampal l<strong>and</strong>marks separating the subpopulations at a given statistical<br />

significance. The selected subregional l<strong>and</strong>marks are again aligned by Procrustes<br />

analysis <strong>and</strong> a PCA is performed on the aligned subregional l<strong>and</strong>marks. The<br />

coefficient of principal components <strong>de</strong>scribing local shape of hippocampus can<br />

thus be calculated.<br />

In both the localization step <strong>and</strong> the shape mo<strong>de</strong>ling step, the shapes or selected<br />

shape patches are aligned by Procrustes analysis, which can be performed either<br />

through rigid-body transformations or through similarity transformations. In our<br />

experiments, both alignments are performed at each step <strong>and</strong> their performances<br />

are evaluated <strong>and</strong> compared. We evaluate the subregional shape mo<strong>de</strong>ls based

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