Integral curves from noisy diffusion MRI data with closed-form uncertainty estimates

DOI10.1007/s11203-015-9126-9zbMath1357.62149OpenAlexW1788583321MaRDI QIDQ329055

Lyudmila Sakhanenko, Owen T. Carmichael

Publication date: 21 October 2016

Published in: Statistical Inference for Stochastic Processes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11203-015-9126-9

zbMATH Keywords

asymptotic normalitykernel smoothingdiffusion tensor imagingintegral curve

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Nonparametric estimation (62G05) Biomedical imaging and signal processing (92C55) Functional limit theorems; invariance principles (60F17)

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 ⋮ Nonparametric model for a tensor field based on high angular resolution diffusion imaging (HARDI) ⋮ Estimation of integral curves from high angular resolution diffusion imaging (HARDI) data

Uses Software

• BayesDA

Cites Work

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• Numerical issues in estimation of integral curves from noisy diffusion tensor data
• When does bootstrap work! Asymptotic results and simulations
• Integral curves of noisy vector fields and statistical problems in diffusion tensor imaging: nonparametric kernel estimation and hypotheses testing
• Asymptotics of statistical estimators of integral curves
• A Global Optimal Convergence Rate in a Model for the Diffusion Tensor Imaging
• Lower Bounds for Accuracy of Estimation in Diffusion Tensor Imaging
• Statistical Analysis of Diffusion Tensors in Diffusion-Weighted Magnetic Resonance Imaging Data
• Regression Models for Identifying Noise Sources in Magnetic Resonance Images

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