Estimation of integral curves from high angular resolution diffusion imaging (HARDI) data

DOI10.1016/j.laa.2014.12.007zbMath1325.62106OpenAlexW2034544864WikidataQ30943385 ScholiaQ30943385MaRDI QIDQ2341899

Lyudmila Sakhanenko, Owen T. Carmichael

Publication date: 6 May 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.12.007

zbMATH Keywords

asymptotic normalitykernel smoothingdiffusion tensor imagingintegral curve

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Biomedical imaging and signal processing (92C55) Limit theorems in probability theory (60F99) Nonparametric inference (62G99)

Related Items (4)

A chi-square type test for time-invariant fiber pathways of the brain ⋮ Global Rate Optimality of Integral Curve Estimators in High Order Tensor Models ⋮ Rate acceleration for estimators of integral curves from diffusion tensor imaging (DTI) data ⋮ Nonparametric model for a tensor field based on high angular resolution diffusion imaging (HARDI)

Cites Work

• Integral curves from noisy diffusion MRI data with closed-form uncertainty estimates
• Numerical issues in estimation of integral curves from noisy diffusion tensor data
• Integral curves of noisy vector fields and statistical problems in diffusion tensor imaging: nonparametric kernel estimation and hypotheses testing
• On the best rank-1 approximation to higher-order symmetric tensors
• A Global Optimal Convergence Rate in a Model for the Diffusion Tensor Imaging
• Lower Bounds for Accuracy of Estimation in Diffusion Tensor Imaging
• On the Best Rank-1 and Rank-(R₁ ,R₂ ,. . .,R_N) Approximation of Higher-Order Tensors
• Regression Models for Identifying Noise Sources in Magnetic Resonance Images

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