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...irit, Bookstein et al. used deformation maps based on thin-plate splines to study the shape variability in patients with schizophrenia and normal controls [30], [31]. C. Contribution of This Paper In =-=[32]-=-, we described an automated way in which correspondences between the surfaces of different shapes are established via a nonrigid registration algorithm [33]. A similar approach has been proposed by Su...

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...ence can be defined across a group of images by minimising, explicitly, an MDL objective function. The combination of non-rigid image registration with modelling was shown previously by Frangi et al. =-=[5]-=-, who used non-rigid registration to automatically construct 3D statistical shape models of the left and right ventricles of the heart. However, their method did require an initial manual labelling of...

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...ations to perform surface evolution, an explicit representation of the regions in necessary. 3-D shape representation is a challenging problem. Some popular methods include parametric representations =-=[35]-=- and finite element representations [6]. The joint priors defined in [5] are used to prevent the surfaces of different objects from intersecting with each other in the level set representation. The le...

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...d. In the recent years cardiac image registration has emerged as an important tool for a large number of applications. It has a fundamental role in the construction of anatomical atlases of the heart =-=[3, 4]-=-. It has also been used for the analysis of the myocardial motion [5] and for the segmentation of cardiac images [6]. Image registration has been also used for the fusion of information from a number ...

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...amples. A number of different methods of how to automatically establish the required correspondences in 3D havesbeen proposed in recent years, including registering mesh to mesh [8], volume to volume =-=[9]-=- or mesh to volume [10]. In this work, we employ a population-based approach for finding correspondences which minimizes a cost function based on the description length of the resulting shape model [1...

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...ent for the analysis of sets of segmented volumes. Several methods have been proposed that warp a set of images to a reference image, establishing correspondence among images through the deformations =-=[4,5]-=-. These methods are purely image based, however, and do not deal with the problem of selecting surface landmarks for correspondence or establishing geometrically accurate surface samplings. This paper...

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... Fleute et al. [15] establish correspondence by elastic registration of a template shape with all other shapes based on minimizing Euclidean distance. Closely related is the approach of Frangi et al. =-=[16]-=-. The PCA is performed on the points of the control grids computed from an elastic registration on binary volumetric data. Brett et al. [17, 18] present two approaches of automatic construction of sha...

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...hape Priors for a Level Set Segmentation 93 inter-patient shape variabilities. In most cases, Principal Component Analysis (PCA) is the method of choice. In the case of explicit shape representations =-=[4, 9]-=-, PCA is either applied directly to the landmark coordinates or to the components of a deformation field relative to a mean shape, or, for the implicit representation, to the components of the embeddi...