Titlebook: Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data; Carl-Fredrik Westin,Anna Vilanova,Bernhard Bur

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Higher-Order Tensors in Diffusion Imaginghematical language to model and analyze the large and complex data that is generated by its modern variants such as High Angular Resolution Diffusion Imaging (HARDI) or Diffusional Kurtosis Imaging. This survey gives a careful introduction to the foundations of higher-order tensor algebra, and expla

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Riemann-Finsler Multi-valued Geodesic Tractography for HARDIgeodesic based tractography for Diffusion Tensor Imaging (DTI). In DTI, the inverse of the second-order diffusion tensor is used to define the manifold where the geodesics are traced. HARDI models have been developed to resolve complex fiber populations within a voxel, and higher order tensors (HOT)

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Kernel-Based Morphometry of Diffusion Tensor Imagesuch as those studying brain development during infancy or aging, or those investigating structural differences between healthy and diseased populations. The majority of studies using DTI limit themselves by testing only certain properties of the tensor that mainly include anisotropy and diffusivity.

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The Estimation of Free-Water Corrected Diffusion Tensorsitecture. The tensors provide a compact way to describe the average of these displacements that occur within a voxel. However, current practical image resolution is in the millimeter scale, and thus diffusivities from many tissue compartments are averaged in each voxel, reducing the specificity of t

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Techniques for Computing Fabric Tensors: A Review Fabric tensors aim at modeling through tensors both anisotropy and orientation of a material with respect to another one. Fabric tensors are widely used in fields such as trabecular bone research, mechanics of materials and geology. These tensors can be seen as semi-global measurements since they a

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Conference proceedings 2014), this book offers a broad and vivid view of current work in this emerging field. Topics covered range from applications of the analysis of tensor fields to research on their mathematical and analytical properties..Part I, Tensor Data Visualization, surveys techniques for visualization of tensors a