Abstract:Abstract. The purpose of this paper is to measure the variability of a population of white matter fiber bundles without imposing unrealistic geometrical priors. In this respect, modeling fiber bundles as currents seems particularly relevant, as it gives a metric between bundles which relies neither on point nor on fiber correspondences and which is robust to fiber interruption. First, this metric is included in a diffeomorphic registration scheme which consistently aligns sets of fiber bundles. In particular, … Show more
“…Multi-step or multi-level approaches have also been proposed to segment fiber trajectories, for example, by combining both voxel and fiber trajectory groupings [12], fusing labels from multiple handlabeled atlases [13], using a white matter voxel-space atlas and a bundle representation based on maximum density paths [15], or using Gaussian processes 100 [53]. A few studies have also investigated the representation of specific fiber trajectory bundles using different techniques such as gamma mixture models [54], hierarchical Dirichlet processes [55], and the computational model of rectifiable currents [56,57].…”
Section: Representation and Analysis Of White Matter Fiber Geometrymentioning
“…Multi-step or multi-level approaches have also been proposed to segment fiber trajectories, for example, by combining both voxel and fiber trajectory groupings [12], fusing labels from multiple handlabeled atlases [13], using a white matter voxel-space atlas and a bundle representation based on maximum density paths [15], or using Gaussian processes 100 [53]. A few studies have also investigated the representation of specific fiber trajectory bundles using different techniques such as gamma mixture models [54], hierarchical Dirichlet processes [55], and the computational model of rectifiable currents [56,57].…”
Section: Representation and Analysis Of White Matter Fiber Geometrymentioning
“…As preliminarily shown in Durrleman et al (2009a), the metric based on currents seems to be particularly well suited for this purpose. It has been introduced in field of medical imaging in Vaillant & Glaunès (2005); Glaunès (2005); Glaunès et al (2008) to avoid the need to find point correspondences in feature-based registration as in Chen & Medioni (1991); Besl & McKay (1992); Joshi & Miller (2000) for instance.…”
“…The second deformation φ All deforms both the resulting white matter φ W (T W ) and T G . This formulation derives from the forward model [35], [38], [39] where we assume that all elements belong to an algebraic structure where addition is defined. It results:…”
Section: A Double Diffeomorphic Generative Modelmentioning
confidence: 99%
“…B). Two curves are considered similar if their pathways are alike, as in usual currents [39], but also if their endpoints are close to each other. The inner product is parametrised by three user-defined bandwidths: λ g , λ a , λ b .…”
Section: Similarity Metrics For Shape Complexesmentioning
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