2014 # Riemann-Finsler Geometry for Diffusion Weighted Magnetic Resonance Imaging

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“…However, higher order diffusion models may benefit from our approach as well, provided one can define a proper metrical distance. For example, the framework proposed in [14] stipulates a Finsler metric for geodesic tractography in HARDI, which can in principle be adapted in a similar way to our modification of the Riemannian metric in DTI.…”

confidence: 99%

“…However, higher order diffusion models may benefit from our approach as well, provided one can define a proper metrical distance. For example, the framework proposed in [14] stipulates a Finsler metric for geodesic tractography in HARDI, which can in principle be adapted in a similar way to our modification of the Riemannian metric in DTI.…”

confidence: 99%

“…See e.g. [15] where in a highly anisotropic situation (diffusion weighted magnetic resonance imaging of brain), the measurement returned a Finsler metric which is very close to a Riemannian metric.…”

confidence: 99%

“…Although Riemannian geodesic tractography does not cover traditional "streamline tractography", the latter may be viewed as a singular limit that can be inferred from a sequence of Riemannian metrics. In turn, Finsler geodesic tractography may be related to an orientation-parametrized family of Riemannian metrics (Astola, 2010;Florack and Fuster, 2014;Florack et al, 2015;Dela Haije, 2017;Dela Haije et al, 2019). In this sense Riemannian geodesic tractography plays an intermediate role, being a generalisation of the original streamline case and a special instance of the Finslerian case.…”

confidence: 99%