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However, in some cases this non-dominant projection is found with variable success and connection likelihood from subject to subject. For example, the medial portion of the SLF was found strongly in all subjects, whereas it is invisible to single fibre approaches. Furthermore, in four separate fibre systems where non dominant pathways have previously been hard to find, we find that multi- fibre tractography is more sensitive to non-dominant projections that single fibre tractography. Connectivity-based segmentation of thalamus which relies only on identifying the target with the highest connection probability was largely unchanged between the single and multi- fibre approaches, suggesting that the same dominant pathway is found by both approaches. Here, by using a natural extension to a single fibre tractography technique, it is able to examine directly the potential advantages of estimating complex architecture before performing tractography. Tractography approaches that detect complex fibre architecture in every voxel, whether or not it is supported by the data, will be much more susceptible to false positive connections than approaches that infer complexity in a selective manner. These approaches dramatically reduce the problem of tractography in a multi- fibre field to an extent that it is tractable to probabilistic sampling schemes. Using a clinically feasible acquisition scheme with 60 diffusion directions, and a b-value of 1000, this is able to detect complex fibre architecture in approximately a third of voxels with an FA greater than 0.1. In order to perform this reduction, the automatic relevance determination in a formal Bayesian estimation scheme is used. Furthermore, by inferring on a model of local diffusion, this is possible to limit the regions in which multiple fibres are detected to those where the data require such a complex model. Using this modelling approach, it is possible to detect white matter regions of complex fibre architecture that have previously been identified by model-free inversion approaches.
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In this paper, the Tractography of multiple fibre orientation in diffusion tensor imaging using ARD is presented.
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Finally, every spiral surface is filled with myocardial fibres, represented by the trans- formed images of the chords that were parallel to the diameter in the initial semicircle (see Figure 1).
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In the second step, the conical surface is transformed to a curved spiral surface, representing the quasi-elliptical shape of the LV boundary surface. The first step of the transformation is the mapping of the semicir- cle to a conical surface. Every spiral surface is defined analytically and represents a mapping of a half disc. In our model, the LV is con- sidered a set of identical spiral surfaces combined with each other by rotation about the vertical axis. In our approach to the modelling of the LV architecture, anisotropy of the heart was derived from some general principles. The developed formal- ism is substantially associated with both ventricle band concept of cardiac architecture given by Torrent-Guasp and anatomic observations presented by Streeter in his clas- sical work. In this work we present our rule-based model focused on the LV morphology including simulation of the ventricle shape and fibre orientation in its wall.