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ozarslan e anisotropy across fields scales 2021

Type:: E-books
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Size:: 10.7 MB
Uploaded On:: Dec. 31, 2022, 7 p.m.
Added By:: andryold1
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Info Hash:: D0F6ECFCA3EF445B87841BF8126594A749199D22

Textbook in PDF format This open access book focuses on processing, modeling, and visualization of anisotropy information, which are often addressed by employing sophisticated mathematical constructs such as tensors and other higher-order descriptors. It also discusses adaptations of such constructs to problems encountered in seemingly dissimilar areas of medical imaging, physical sciences, and engineering. Featuring original research contributions as well as insightful reviews for scientists interested in handling anisotropy information, it covers topics such as pertinent geometric and algebraic properties of tensors and tensor fields, challenges faced in processing and visualizing different types of data, statistical techniques for data processing, and specific applications like mapping white-matter fiber tracts in the brain. The book helps readers grasp the current challenges in the field and provides information on the techniques devised to address them. Further, it facilitates the transfer of knowledge between different disciplines in order to advance the research frontiers in these areas. Foundations Variance Measures for Symmetric Positive (Semi-) Definite Tensors in Two Dimensions Degenerate Curve Bifurcations in 3D Linear Symmetric Tensor Fields Continuous Histograms for Anisotropy of 2D Symmetric Piece-Wise Linear Tensor Fields Image Processing and Visualization Tensor Approximation for Multidimensional and Multivariate Data Fourth-Order Anisotropic Diffusion for Inpainting and Image Compression Uncertainty in the DTI Visualization Pipeline Challenges for Tractogram Filtering Modeling Anisotropy Single Encoding Diffusion MRI: A Probe to Brain Anisotropy Conceptual Parallels Between Stochastic Geometry and Diffusion-Weighted MRI Magnetic Resonance Assessment of Effective Confinement Anisotropy with Orientationally-Averaged Single and Double Diffusion Encoding Riemann-DTI Geodesic Tractography Revisited Measuring Anisotropy Magnetic Resonance Imaging of T2 - and Diffusion Anisotropy Using a Tiltable Receive Coil Anisotropy in the Human Placenta in Pregnancies Complicated by Fetal Growth Restriction

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Ozarslan E. Anisotropy Across Fields and Scales 2021.pdf 10.7 MB

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ozarslan e anisotropy across fields scales 2021

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