with the tensor D being the unknown variable and b a value that depends on the acquisition settings. The estimation of the tensors in the volume domain Ω can be…

Fig. 1 Sketch of HARDI reconstruction techniques In this chapter, we focus on deterministic and probabilistic tractography using state of the art reconstruction of the diffusion and fibre ODF from QBI….

the spatial domain ( in the continuous case or in the discrete case). Fuzzy sets can be considered from two points of view. In the first one, a membership function…

which maps any point in the target image I A into its corresponding point in the source image I B . The transformation can be separated into two components: A…

Fig. 1 a) Subcortical structures have a spherical topology. For instance, the shape of the hippocampus can be continuously deformed onto a sphere. b) The human cerebral cortex is a…

Fig. 1 Atlas MRI and labeled image from Harvard Medical School [58]. Atlas-based segmentation results (ventricles, corpus callosum, thalamus, trunk and cerebellum) using a tandem of affine registration and Demons algorithm as…

with A p ∈ {“obj”, “bkg”} can be used to represent the segmentation of P into object (“obj”) and background (“bkg”) voxels. Let N be the set of unordered neighboring…

is often chosen to be a signed distance function of the embedded contour(s). Such a signed distance function can be computed very efficiently using the fast marching method [94, 109] or…

Fig. 1 Sketch of the haemodynamics simulation pipeline Image segmentation here refers to the extraction of the boundaries of vascular objects from a 3D image. The outcome is a binarization…

used to describe the region of interest D consists of four elements, namely, a probabilistic atlas (), texture-based features (), relationships , and specific segmentation methods for organs in the…