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

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48 Chapter 3 Hippocampal segmentation using multiple atlases<br />

are not propagated to the segmentation result. The atlases to be fused into the<br />

segmentation result are selected by their similarity to the query. Three similarity<br />

criteria were discussed by Aljabar et al. (2007, 2009), namely<br />

segmentation similarity between the warped label map Lk ◦Tk <strong>and</strong> the manual<br />

segmentation of the query, which is not realistic in the application since it<br />

prejudges the outcome of the segmentation, <strong>and</strong> assumes the availability of<br />

the ground truth,<br />

image similarity between the warped atlas Ik ◦Tk <strong>and</strong> the query image I, which<br />

is usually used to evaluate the quality <strong>and</strong> accuracy of the registration,<br />

<strong>de</strong>mographic information between the atlas subject k <strong>and</strong> the query subject,<br />

which is in<strong>de</strong>pen<strong>de</strong>nt of the image, <strong>and</strong> registration results.<br />

Among the three similarity criteria, the selection by image similarity is the most<br />

popular in applications. The warped atlases {Ik ◦Tk} are compared with the target<br />

image I, <strong>and</strong> ranked according to the similarity. The atlases most similar to the<br />

target image I are selected. Due to the longer computation time of NRR than the<br />

rigid-affine registration, sometimes the atlases are selected based on the rigid-affine<br />

results {Ik ◦ T A k }, <strong>and</strong> only selected atlases in A are registered non-rigidly to I,<br />

<strong>and</strong> combined to produce the segmentation result subsequently. Commonly used<br />

image similarity metrics inclu<strong>de</strong> sum of squared differences (SSD), correlation<br />

coefficient, mutual information (Collignon et al., 1995; Viola <strong>and</strong> Wells, 1995),<br />

normalized mutual information (NMI, Studholme et al., 1996), etc. The NMI <strong>and</strong><br />

correlation coefficient are found to provi<strong>de</strong> better estimates for the accuracy of the<br />

warped atlases (Aljabar et al., 2007, 2009).<br />

3.1.2.1 Image mutual information<br />

Image mutual information is a wi<strong>de</strong>ly used similarity metric in image registration<br />

(for review, see Pluim et al., 2003). It is able to measure the alignment between

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